• Home
  • 11+ Online Classes
  • 11+ Mock Exams
    • 11+ Maths Online Timed Tests
    • 11+ Verbal Reasoning Online Timed Tests
    • Independent School Mock Exams
    • Difference between CEM & GL 11+ Exams
    • 11+
    • 11 plus mock test
  • FREE
    • Maths Puzzles
    • 11+ Maths Papers Free
    • Free 11+ Maths Online Tests
    • Free 11+ CLOZE Online Tests
    • Free English 11+ Past Papers
    • Free Verbal Reasoning 11+ Past Papers
  • 11+ Study Tips
  • Shop
    • 11+ Maths Books to buy
    • 11+ Verbal Reasoning Books Books to buy
    • 11+ English Books to buy
    • 11+ Bundle Packs to buy
    • 11+ Mock Exams
  • Contact
  • Add your Website
** 20% OFF ORDERS OVER £50. USE DISCOUNT CODE: 123tutors
07903 139807
info@123tutors.co.uk
RegisterLogin
11 plus tutor near me. 11+ tutor Feltham. Eleven Plus Exams11 plus tutor near me. 11+ tutor Feltham. Eleven Plus Exams
  • Home
  • 11+ Online Classes
  • 11+ Mock Exams
    • 11+ Maths Online Timed Tests
    • 11+ Verbal Reasoning Online Timed Tests
    • Independent School Mock Exams
    • Difference between CEM & GL 11+ Exams
    • 11+
    • 11 plus mock test
  • FREE
    • Maths Puzzles
    • 11+ Maths Papers Free
    • Free 11+ Maths Online Tests
    • Free 11+ CLOZE Online Tests
    • Free English 11+ Past Papers
    • Free Verbal Reasoning 11+ Past Papers
  • 11+ Study Tips
  • Shop
    • 11+ Maths Books to buy
    • 11+ Verbal Reasoning Books Books to buy
    • 11+ English Books to buy
    • 11+ Bundle Packs to buy
    • 11+ Mock Exams
  • Contact
  • Add your Website

Division

  • Home
  • Maths 11+ Papers Online Topics
  • Division
  • Question 1
  • Answer

Question 1

Answer

20p

£10 = 1000p

1000/70 = 980p so 14 full cookies. Leaving 20p change

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 11
  • Answer

Question 11

Answer

D

Add up all of the heights which comes to 221,642. Then divide by the number of instances which is 8

Nearest is D 27,700

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 7
  • Answer

Question 7

Answer

B

A+C+D = 70%. Therefore, 30% chose B.

If 25% = 320, what does 30% = ?

The approach is to use HCF of 25 and 30 which is 5%. Work out 5% first of 320

This equals 64

Then 64 * 6 (given that 30/5% = 6 times)

Total is 384

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 2
  • Answer

Question 2

Answer

A

Add up all of the numbers and divide it by the number of instances:

So answer is 69

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 1
  • Answer

Question 1

Answer

D

Work backwards. So 95+8 = 103

103-3 = 100

100/5 = 20

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 2
  • Answer

Question 2

 

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

10/10
  • Question 1
  • Answer

Question 1

 

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

10/10
  • Question 4
  • Answer

Question 4

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

10/10
  • Question 1
  • Answer

Question 1

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 6
  • Answer

Question 6

Answer

a) 0.09

b) 0.05

c) 0.375

If not sure, you can use “reverse bus stop”. So for example, calculate per below:

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 5
  • Answer

Question 5

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 4
  • Answer

Question 4

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 3
  • Answer

Question 3

Answer

a) £5.41

b) 0.732

c) 3.3125

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 31
  • Answer

Question 31

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 29
  • Answer

Question 29

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 24
  • Answer

Question 24

Answer

24

Do inverse which is 624/26 = 24

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 9
  • Answer

Question 9

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 6
  • Answer

Question 6

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 5
  • Answer

Question 5

Answer

16

48/3 = 16

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

2/10
  • Question 3
  • Answer

Question 3

Answer

a) 20p

£2.00 – £1.20 = 80p

80p/4 = 20p

b) 6

£1.00 = 100pence

100/15=6.67

So 6 whole kiwi fruits

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 20
  • Answer

Question 20

Answer

a) 5

b) 3

(2×3)/2

c) 22

(3×6)+(2*2)

Substitution

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 16
  • Answer

Question 16

Answer

a) 5

Mode is the most common/frequent number in the sequence

b) 5

Mean is the average of all of the numbers once added together. Total/Number of numbers

So 50/10

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 8
  • Answer

Question 8

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 7
  • Answer

Question 7

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 4
  • Answer

Question 4

Answer

a) Twenty-thousand four hundred

b) -21

A + * by a – is always a –

c) 27

BIDMAS. Brackets first

d) 8

y=16/2 = 8

e)i) x = 7

e)ii) x = 5

You firstly have -x = -5 which is the same as x = 5

f) 6

g) 1:3

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 2
  • Answer

Question 2

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 1
  • Answer

Question 1

Answer

For the above, work backwards. So for example, 250-75 = 175. Etc

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 16
  • Answer

Question 16

Answer

a) 20mins

Use HCF & LCM. Work on the normal basis that 3 is 1/3 of 9. So if 9km = 1 hour, 3km = 1/3rd of 1 hour

b) 2km

1/4 of the 8km/h = 15mins. So this is 2km

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 14
  • Answer

Question 14

Answer

a) 2

Mode is the most common number

b) 15

Range is highest – lowest

c) 4

Mean = Average. Add up all of the numbers and divide by the number of instances

40/10

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 5
  • Answer

Question 5

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 4
  • Answer

Question 4

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 1
  • Answer

Question 1

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 12
  • Answer

Question 12

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

10/10
  • Question 6
  • Answer

Question 6

Answer

a) 4

BIDMAS. Do multiplication first. So 16-12 = 4

b) 70%

When converting decimals to percentages, just move the decimal place 2 places to the right. So 0.7 becomes 70.

c) 0.6

3/5ths as a decimal. To convert denominator to 100, multiply both numerator and denom by 20. So 60/100 = 0.6

d) 18

15/100 * 120/1

e) 20 – 10 /5 = 18

Do division first according to BIDMAS. Then subtraction. So 20-2 = 18

f) 16+(32/8/2)-1 = 16 + 2 – 1  = 17

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 3
  • Answer

Question 3

Answer

17

130/8 = 16.25

Cannot buy 0.25 of a packet so need to buy 17 packets

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 22
  • Answer

Question 22

Answer

a) 4mins

Sally less Anna

b) 80mins

15 + 17+ 14+ 18+ 16

c) 16mins

80/5

d) 1km

Peter took 15mins. If its 4km/h he walks, then after 15mins, he walks 1km

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 14
  • Answer

Question 14

Answer

600g

  1. 2:1 Flour:Fat
  2. 900g of pastry required. Given we have 3 parts, therefore each part is 300g
  3. Flour is 2 parts so 2 * 300 = 600g

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 13
  • Answer

Question 13

Answer

200miles

  1. Calais to Paris is 320km. So 320 * 5/8 = number of miles
  2. 200miles. Can be done in 1 of 2 ways. Per the above or work out 1/8th which would be 40km. Then 5 * 40km = 200m

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 4
  • Answer

Question 4

Answer

6.9

Make 62.1 to 621 to remove the decimal

Then work through and you 69. Then add the decimal back in to get 6.9

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 16
  • Answer

Question 16

Answer

16

5 numbers with mean 28 = 140 in total (5 * 28)

12 numbers with mean of 11 = 132 in total (12 * 11)

Total = 272

Mean = 272/17

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 9
  • Answer

Question 9

Answer

a) See below. 1.52

Convert to the same metric. So in this case, its better to convert to decimals

b) 0.3

For this, you should use reverse bus stop. So 70 goes outside the bus stop with 21 inside.

Then add zeros on so that you can work out the answer to 2 decimal places

Then change the answer by the number of decimal places you added. So if you added 2 zeros, then your answer of eg. 70 would become 0.7

 

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 5
  • Answer

Question 5

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 3
  • Answer

Question 3

Answer

1.08

  1. Sometimes, these questions can be done in 2 parts. First 6/6 and then 0.48/6
  2. 6/6 = 1
  3. 0.48/6. Treat this is 48/6 = 8.
  4. Then move 8 2 decimal places to the right. So 0.08
  5. So answer is 1.08

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 6
  • Answer

Question 6

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 5
  • Answer

Question 5

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 3
  • Answer

Question 3

Answer

8.6

One way to tackle this is to initially remove the decimal so to do 602/7

Then use bus stop. Then remember to divide your answer by 10 as you added in one zero

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 16
  • Answer

Question 16

Answer

a) 7hours 27mins

10.17pm – 11.00pm = 43minutes

11.00pm – 05:00am = 6 hours

05:00am – 05:44am = 44minutes

43mins + 6hours + 44mins

b) 800kmph

5600km/7 hours = 800km ph

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 4
  • Answer

Question 4

Answer

86

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 15
  • Answer

Question 15

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 13
  • Answer

Question 13

Answer

18 days

  1. 12 cut knees per day for 30 days = 360 cut knees over this timeframe
  2. To treat 20 boys, (assuming its only 1 knee that is cut per child), then this would be 360/20 = 18 days

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 12
  • Answer

Question 12

Answer

a) £3.10

  1. 8 x 35p = £2.80
  2. If she had 30p left, her total that she had in the first place would be £2.80 + 30p = £3.10

b) 45p

  1. 5 lollipops @ 35p each = £1.75
  2. £3.10 less £1.75 = £1.35
  3. £1.35/3 = 45p

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 4
  • Answer

Question 4

Answer

55

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 17
  • Answer

Question 17

Answer

10:40

  1. Difference between 9am and 11am is 2 hours.
  2. Your dealing with ratios here 5:1. So 6 parts
  3. If you have 2 hours this is 120 minutes and each part is 20 minutes
  4. So 5 of these are 100 minutes. 1 part is 20 minutes
  5. So 100 minutes has passed which would mean 9am + 100mins = 10:40am

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 4
  • Answer

Question 4

Answer

362

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 10
  • Answer

Question 10

Answer

a) 7

Mode is the most common number. This is 7

b) 8

8+7+11+6+9+7 = 48

48/6

c) 5

Range is highest minus lowest

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 4
  • Answer

Question 4

Answer

312

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 31
  • Answer

Question 31

Answer

267,120

742

53424

26748

  1. Add a zero on. So 267,120
  2. Its rearranging the formula so it becomes 742 = 26712/36
  3. Double the base answer of 26712 so it becomes 53424
  4. Add on 36 to the original answer. So its 26712 + 36 = 26748. (ie an extra 1 x 36 since number changes from 742 to 743)

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 16
  • Answer

Question 16

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 12
  • Answer

Question 12

Answer

8

  1. Work backwards. So 192/3 = 64
  2. 64 square root = 8

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 9
  • Answer

Question 9

Answer

a) 45

  1. May is 14 and her father is 53
  2. Mays mother is therefore 45

b) 16

  1. If 5 marbles cost £7.50, then 10 would cost £15. 15 would cost £22.50
  2. Each marble costs £1.50
  3. So remaining £1.50 to take you to £24 would get you 1 marble
  4. Total number being 16 marbles

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 4
  • Answer

Question 4

Answer

224

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 31
  • Answer

Question 31

Answer

80cm

  1. 9 identical squares with area of 144 means square has an area of 16cm
  2. Each square must be 4×4
  3. Number of sides showing on the shape above if you count all the way around as a perimeter is 20
  4. So perimeter is 80cm

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 17
  • Answer

Question 17

Answer

6

By second hand, the question is referring to the seconds handle that moves around the clock

Therefore, if its pointing to 2, after one minute it will still point to 2 as it will go around 360 degrees

Add on 20 seconds which represents 4 numbers on the clock (12 numbers = 60 seconds so 1 number move = 5 seeconds)

Therefore add 4 onto 2 to get 6

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 16
  • Answer

Question 16

Answer

28%

  1. 7/25. To convert to a % you can do reverse bus stop
  2. So this would be per below:

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 12
  • Answer

Question 12

Answer

£208

  1. £156/6 = £26 per night
  2. £26 * 8 = £208

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 7
  • Answer

Question 7

Answer

8

  1. Convert £ to pence
  2. 300/36 = 8.33
  3. So 8 full bars

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 4
  • Answer

Question 4

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 30
  • Answer

Question 30

Answer

96 tiles

3metres long and 4m wide = 12m² area

You will get 12 tiles in the width from 25cm tiles (3metres = 300cm. 300cm/25 = 12 tiles)

Across you will get 8 tiles in the length from 50cm tiles ( 4metres = 400cm/50cm – 8 tiles)

12 x 8 = 96 tiles

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

9/10
  • Question 28
  • Answer

Question 28

Answer

a) x=-65

x+80=15

x=15-80

b) y=11

6y=46+20

6y=66

y=11

c) g=9.8

10g+15g = 645-400

25g = 245

g=9 20/25

g = 9.8

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

10/10
  • Question 17
  • Answer

Question 17

Answer

3

  1. Work backwards
  2. 38 + 7 =45
  3. 45 /15 = 3

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 10
  • Answer

Question 10

Answer

2

  1. 170/24 = 7 remainder 2
  2. Teacher eats 2

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 4
  • Answer

Question 4

Answer

702

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 30
  • Answer

Question 30

Answer

£15.96

Buy 2 get 3rd free so only pay for 2

£5.32

£15.96/3 to get equivalent price per bottle

 

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 29
  • Answer

Question 29

Answer

100°

  1. At 4:40, hour hand will be 2/3rds of the way between 4 and 5
  2. Minute handle at 40
  3. So each hour or number on the clock is 30°
  4. From 4:40 to 5:00 the degree angle is 10°
  5. From 5:00 to 8 (Which is for 40 mins), the angle is 3 x 30 – 90°
  6. Add 10 degrees per note 4 and you get 100

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

8/10
  • Question 28
  • Answer

Question 28

Answer

a) £120

Car Hire £45

Over 200km is 150km extra driven

Cost is £0.5 per km so total cost is 150 x £0.50 = £75 extra

Total cost is £45 + £75

b) 390km

Cost for Daryl £140. Less 200km covered for £45.

This leaves £95

Total mileage from this would be 95/0.5 = 190km

Add base 200km so total distance travelled is 390km

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 24
  • Answer

Question 24

Answer

20 students

  1. Work on basis 6 students = 30°
  2. Therefore, 2 students = 10°
  3. So, 100° = 20 students

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 21
  • Answer

Question 21

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 17
  • Answer

Question 17

Answer

65°

  1. Triangle = 180°
  2. 180 – 50 – 130
  3. 130/2 = 65

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 13
  • Answer

Question 13

Answer

8m

  1. Area is LxW
  2. So working backwards, 72=9xW
  3. Rearrange. W=8

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 12
  • Answer

Question 12

Answer

a) 52

5 x  10 + 2

b) 127

5 x 25 + 2

c) 67

Work backwards. 337 – 2 = 335

335/5 = 67

d) Van = 2.5 metres; Car = 1.8 metres

Additional 5 metres = 2 vans

Van = 2.5m

If a van is 2.5metres, then using the first jump of 14 metres, we take 2 vans off this which is 5 metres leaving 9 metres.

Per car, this will be 9 metres/ 5 cars = 1.8m

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 7
  • Answer

Question 7

Answer

33

  1. Use division so you get 6240/192 = 32.5
  2. So we need 33 trips

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 4
  • Answer

Question 4

Answer

321

279

20

  1. It is one extra “21” So 321
  2. It is one less “21”. So 279
  3. It is 20

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 3
  • Answer

Question 3

Answer

£6.42

  1. If 9 pairs cost £19.26, work out the cost of 1 pair first via division
  2. This would be £2.14
  3. Cost of 3 pairs would be £6.42
  4. Or you look at 9 pairs and 3 pairs. HCF is 3. Just divide the £19.26 by 3

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 2
  • Answer

Question 2

Answer

a) 5

b) 26

c) 112

Apply the rules of BIDMAS. Brackets, Indices, Division, Multiplication, Addition, Subtraction

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 23
  • Answer

Question 23

Answer

a) 3.7

(3.5+3.9)/2 = 7.4/2

b) 1.55

(1.3+1.8)/2 = 3.1/2

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 22
  • Answer

Question 22

Answer

a) 3.5 hours

Time = Distance/Speed = 420/120

b) 180 miles

Distance = 180miles

120mph so after 1.5 hours, train will travel 180 miles

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 21
  • Answer

Question 21

Answer

72 stickers

  1. 80/10 = 8
  2. 45/5 = 9
  3. 8 * 9 = 72

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 19
  • Answer

Question 19

Answer

a) 127cm

Convert to cm. 214-87

b) 25 bags

290/12 = 24.2

Round up as you need to cover the “0.2” requirement. So 25 bags

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 11
  • Answer

Question 11

Answer

a) 672

b) 264

c) 1,081

d) 843

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

2/10
  • Question 23
  • Answer

Question 23

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 21
  • Answer

Question 21

Answer

44 stickers

  1. Use division as a starting point
  2. So 60/15 = 4
  3. 55/5 = 11
  4. Multiply the 2 to get 44 stickers

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 19
  • Answer

Question 19

Answer

a) 49cm

Length of cane that snapped off is 2.05m = 205cm minus 156cm

Converting all to cm makes the question much easier

b) 14

Would need 14 = 168m²

13 would give 156m² so not quite enough

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 11
  • Answer

Question 11

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 10
  • Answer

Question 10

Answer

D

  1. If the pen costs 50p more, then the way to start with this question is to assume they cost the same
  2. This would be 55p each
  3. Then take the difference of 50p and split it into 25p and 25p
  4. Add 25p to the pen and take 25p from the pencil
  5. So the pen would be 55p + 25p = 80p

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 19
  • Answer

Question 19

Answer

25

  1. 5 litres = 5000ml (1 litre = 1000ml)
  2. 5000/200 = 25

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 16
  • Answer

Question 16

Answer

a) 4 & 58 which would give an answer of 232

b) 30 ( 120/4)

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 10
  • Answer

Question 10

Answer

10kg

  1. Add up all of the numbers
  2. 3+6+9+22+28+1+6+5 = 80
  3. 8 sharks so average weight is 10kg

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 8
  • Answer

Question 8

Answer

275g

  1. Always convert to the same metric. That will make this style of question easier
  2. So if the total is 1.25kg, its 1250g
  3. 1250g less the large can of beans of 425g = 825g
  4. Therefore, 3 small cans = 825g
  5. This would be 275g per can

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 6
  • Answer

Question 6

Answer

a. £22.50

  1. 2 Adults = £6.25 * 2 = £12.50
  2. 4 Children = £2.50 * 4 = £10.00
  3. Total = £22.50

b. 8 children

  1. 4 adults = £5 * 4 = £20.00
  2. Remaining is £24
  3. £24/£3 = 8 children

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 4
  • Answer

Question 4

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 17
  • Answer

Question 17

Answer

  1. Division question with a small twist
  2. See notes above….Need bus for the remainder of people as well so answer is 20 not 19

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 4
  • Answer

Question 4

Answer

13

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 16
  • Answer

Question 16

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 7
  • Answer

Question 7

Answer

6

  1. Can use bus stop and x each number by 10. So 5s into 30 instead
  2. This is 6

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 4
  • Answer

Question 4

Answer

27

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 27
  • Answer

Question 27

Answer

QUESTION 3….After 10 days

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 20
  • Answer

Question 20

Answer

3 metres per minute

  1. Use Distance/Speed. So this would be 400m/800m per minute = 0.5 seconds
  2. If the tortoise needs to travel 1.5meters, then it will need to run at 1.5/0.5 seconds = 3

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 14
  • Answer

Question 14

Answer

  1. Use bus stop method.
  2. 1590/122 = 13 remainder 4

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 8
  • Answer

Question 8

Answer

£23.95

  1. £167.65/7
  2. Remove the decimals to make it 16775 divided by 7
  3. Then work bus stop
  4. Then move your answer by 2 decimal places as you multiplied the number inside the bus stop by 100 from 167.75 to 16775

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 7
  • Answer

Question 7

Answer

30

  1. You can do this a few ways. 0.2 x 5 gives 1
  2. Then you multiply 5 by 6 = 30. So 30 times
  3. Or you x both numbers by 10 so you remove the decimal.
  4. Then its how many 2s go into 60
  5. Bus stop method
  6. The second approach is better because when you get numbers such as 0.3, the maths becomes more awkward with option 1

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 4
  • Answer

Question 4

Answer

29

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 23
  • Answer

Question 23

Answer

Use the inverse operation of 17 * 11 = 187

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 21
  • Answer

Question 21

Answer

3 Hours

If it takes 4 people 6 hours, (24 man hours) then 8 people will take half this time.

10 Hours

twice the length = 48 hours.

48/5  = 9.6 which is near enough to 10 hours

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 18
  • Answer

Question 18

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 7
  • Answer

Question 7

Answer

19

75/4 = 18.75

Answer is 19 not 18. Because you need 19 boxes to ensure all 75 cakes are stored

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 5
  • Answer

Question 5

Answer

£4.20

  1. Work on HCF route. 12 eggs and 18 eggs
  2. HCF = 6. Therefore, first calculate what 6 eggs costs
  3. If 12 costs £2.80, 6 costs £1.40
  4. Therefore, 18 would be 3x what 6 costs. So £4.20

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 4
  • Answer

Question 4

Answer

24

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 24
  • Answer

Question 24

Answer

See below

 

 

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

9/10
  • Question 18
  • Answer

Question 18

Answer

45km

1817 – 1747 = 30 minutes. If train travels 90km/h, it will travel half this distance in 30 minutes

1917

Detailed workings to follow

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

9/10
  • Question 4
  • Answer

Question 4

Answer

23

Very easy to use the bus stop method for this question

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 27
  • Answer

Question 27

Answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 11
  • Answer

Question 11

If 9 bananas cost £1.23 find the cost of 12 bananas.

Answer

£1.64

  1. Use the HCF Principle. This always works if there is a HCF
  2. So the HCF of 9 & 12 is 3. Find the cost of 3 bananas first
  3. This is £1.23 / 3 = £0.41 for 3 (divide by 3 because there are 3 lots of 3 in 9)
  4. For 12 bananas, the cost is £0.41 * 4 = £1.64

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 10
  • Answer

Question 10

Answer

a) 45,670

b) 8,101

  1. 4567 x 5 x 2
  2. (40,505 / 25) x 5

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 6
  • Answer

Question 6

Answer

23

  1. Its just a division question…….in words
  2. Use bus stop

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 4
  • Answer

Question 4

Answer

38

Use Bus Stop method if needed

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 39
  • Answer

Question 39

Answer

a) 8g

  1. If each tea leaves weighs 0.008g, then multiply this by 1000 to get weight of 1000 tea leaves
  2. Move the decimal place 3 places (number of zeros after the 1) to the right. 1000x.008g
  3. This would give 8

b) 125,000

  1. The number of leaves = 125 x 1000

c) 100

  1. A tea bag = (250 x 0.008) + 0.5g = 2.5g
  2. 250/2.5g = 100

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 34
  • Answer

Question 34

Answer

a) 300ml

8 * 150ml = 1,200ml

  1. Always worth converting everything to the denomination in which the answer is required.
  2. So 1,5 litres = 1,500ml.
  3. 1,500ml – 1,200ml = 300ml

b) 6 full jugs

  1. 2 Litres * 5 bottles = 10,000ml.
  2. 10,000 / 1,500 = 6 full jugs = 9,000ml.
  3. There will be 1,000ml remaining/ left over
  4. Read the question carefully as it asks for FULL jugs

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 22
  • Answer

Question 22

Answer

a) 6

500/78 = 6 (remainder 32p). £4.68 spent therefore

b) 4

32/8 = 4

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 15
  • Answer

Question 15

Answer

a i) 80

ii) 23

Work backwards. 120/4 = 30. 30 minus 7 = 23

b) x2 -6 OR -3 x2

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 14
  • Answer

Question 14

Answer

1.5

1/10 * 5 = 0.5 (Move decimal one place to the left when dividing

1/5 of 10 = 2

So difference is 1.5

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 7
  • Answer

Question 7

Answer

a) 2040

Move the decimal 2 places to the right when multiplying

b) 1050

  1. You can do the inverse operation here and multiply 1000 x 1.05 to get to the answer
  2. If not sure, then do the calculation in 2 parts:
  3. 1000 x 1 = 1000
  4. 1000 x 0.05 = 50 (Remember 0.1 = 10% = 100. So 0.05 = 5% = 50)
  5. Then add both numbers together

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 4
  • Answer

Question 4

Answer

686

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 39
  • Answer

Question 39

Answer

a) 9

Work backwards. 47 – 2 = 45. 45/5 = 9

b) 48

Work backwards. 5 + 3 = 8. x 6 = 48

c) 12

(50-x)/2 = 19

50-x = 38

x=12

d) 8

100 – (x + x) = 36

x² = 100 – 36

x² = 64

x = 8

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 38
  • Answer

Question 38

Answer

See below

Ensure BIDMAS rules are applied

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 16
  • Answer

Question 16

Answer

a) 24

  1. Give that Cats = 48 = 120º
  2. Hamsters = 60º. Therefore, they are half of cats = 24

The true way to look at this question is to say if 120º = 48, then what is the HCF of 60 & 120. This is 60. Therefore, take the 120 and say how many 60s go into 120. This is 2. Therefore, 60 = 24

b) 60

  1. Cats 120º + Hamsters 60º + Other 30º = 210º
  2. Remainder is 360 – 210 = 150º
  3. Again, HCF principle. Given you know 60º = 24, what is 150º?
  4. HCF = 30. So 30 is half of 60 so it equals 12
  5. Then how many 30s into 150 = 5
  6. Therefore 5 * 12 = 60

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 14
  • Answer

Question 14

Answer

£10.50

  1. Ratios. Josie:Holly = 3:1
  2. Given its 4 shares and £42 in total, each part is worth £10.50
  3. Therefore Holly has £10.50

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 13
  • Answer

Question 13

Answer

 

  1. The easiest way to complete these questions is to think about the HCF multiple.
  2. Look at how many cupcakes you have ingredients for. Its 8. You need to complete for 12.
  3. HCF of 8 & 12 is 4. Therefore, if you work out the ingredients for 4 cupcakes, then you can multiply up by 3x to get to 12
  4. So for 4, its half of what is required for 8
  5. So butter would be 75g.
  6. x3 would give you butter for 12 cakes etc

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 5
  • Answer

Question 5

Answer

0,0,1,1

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

2/10
  • Question 4
  • Answer

Question 4

Answer

774

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 19
  • Answer

Question 19

Answer

a) 11 balloons

  1. Always best to convert to the same denomination.
  2. If she has a 4metres, then this is 400cm. Each string 35cm, then the total is 400/35 = 11.4
  3. Total number of balloons = 11

b) 15cm

  1. 11 balloons would take 11 x 35cm of string
  2. This is 385cm
  3. Therefore, 15cm is left over

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 16
  • Answer

Question 16

Answer

30

A classic question on the concept of fractions. If Ravi is left with 12 sweets and this equals 2/5, then you have to calculate what 1/5 equals. This is 12/2 so it equals 6 sweets

Therefore, each 1/5 = 6 sweets. There were therefore 30 sweets to start with in the box

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 4
  • Answer

Question 4

4. 3216 ÷ 6 =

Answer

536

Use bus stop method if needed

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 23
  • Answer

Question 23

Answer

a) 15mins

  1. 30 mins / 2 = 15 mins if you have 2 hoses

b) 15mins

  1. To fill 10cm, it takes 1 hose 15mins. So to fill 30cm, I need 45mins for 1 hose.
  2. With 3 hoses therefore, the time is 15mins (45/3)

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 16
  • Answer

Question 16

 

Answer

a) 23C

  1. Assess what each marker represents. This is 2C
  2. Therefore, answer is 23C

b) -12C (Minus 12C)

c) 35C

d) i) 68F

20/5 = 4 * 9 = 36 + 32 = 68

d) ii) 15C

  1. Work backwards
  2. 59F – 32 = 27 / 9 =3 * 5 = 15

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 3
  • Answer

Question 3

Answer

Use Bus stop method. Keep numbers in a neat column format

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 41
  • Answer

Question 41

Answer

a) 50

  1. Substitute into the “rules” per the example. So this would give (10 x 10) / (1 + 1) = 100/ 2 =50

b) 5

  1. First solve (3☺4) = (4×4) / (3+1) = 16/4 = 4
  2. Then (4☺5) = (5×5)/ (4+1) = 25/5 = 5

c) 7

  1. Have to solve with algebra. 6 ☺ y = (y x y ) / (6 + 1) = y² / 7
  2. So y² / 7 = 7. Therefore, rearranging,
  3. y² = 7 x 7 . So  y² = 49
  4. Therefore , y =7

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

10/10
  • Question 20
  • Answer

Question 20

20. Suki buys 500g of sugar at £1.10 per kilogram and 750g of plain flour at £1.12 per kilogram. How much change did she receive from a £5 note?

Answer

Change from £5 = £5-£1.39 = £3.61

55p + 84p = £1.39

500g of Sugar. £1.10 per kg. Therefore 500/1000 = 1/2 so 1/2 * £1.10 = 55p

750g of flour. £1.12 per kg. Therefore 750/1000 * 112/1. Think of HCF though. The HCF of 750 *& 1000 is 250. Therefore, given you know what 1000g (1kg) costs, you can work out 250g.

This would be £1.12/4 = 28p per 250g

So 750g of flour = 28p * 3 = 84p

 

 

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 19
  • Answer

Question 19

19. In a money-bag there are an equal number of 2 pence and 5 pence pieces and no other coins. How many coins are in the bag altogether if the total amount of money is £1.26?

Answer

36 coins

For every 2p there is a 5p. Therefore, a 1:1 ratio. Together, its 7p. So its 126/7 = 18 “sets of” 2p and 5p pieces

In total therefore, 18 * 2 = 36 coins

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 4
  • Answer

Question 4

4. Divide 1908 by 6.

Answer

318

Use bus stop method

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 35
  • Answer

Question 35

Answer

a) 555

Given 6*37 answer and 9*37, 15 * 37 will be these 2 answers added together

b) 888

(9*37 + 3*37) * 2

c) 499.5

(9*37)*3 = 999.

999/2

d) 962

(6*37) * 4 = 888. So this is 24 lots of 37. To get another 2 lots of 37, you take 1/3 of the answer for 6 * 37.

So 222/3 = 74. Then 888 + 74

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 34
  • Answer

Question 34

Answer

a) 20

W 10 – 5 =X + 5 = Y * 2= 10 + 10 = Zoe

b) 2

Work backwards: Zoe calls out 4. Take away 10 as she added 10 to the number. This gives minus 6. Therefore, Yana must have had minus 3. Xanthe must have had  2.

c) 6.5

If Yana whispers 3, she was originally given 1.5. Xanthe must have had 6.5 from Wendy

d) 0

e) 9

f) 16

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

9/10
  • Question 30
  • Answer

Question 30

Answer

8cm

If Square area is 36cm², then each side is 6cm. Perimeter is therefore 24cm. Given the perimeter of the triangle is the same, each side of the triangle must be 24/3 = 8cm

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 18
  • Answer

Question 18

Answer

a) 1224

Will be half of 2448 . So 1224

b) 2496

Will be 48 greater than 2448. So 2496

c) 2.448

The numbers moved by a combined 3 decimal places. So move the decimal place in the original answer by 3 places

d) 51

Do 2448 ÷ 48 = 51. Then move decimal place 1 place to the left. This is because you multiplied 24.48 x 100 and 4.8 x 10. Therefore, the difference is 1 decimal place to adjust the number by

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 4
  • Answer

Question 4

4. Work out 2964 ÷ 6

Answer

494

Use bus stop method

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 36
  • Answer

Question 36

Answer

a) 5

10T = 18 papers per teacher over the 3 hour timeframe. Which equals 6 papers per teacher per hour

To mark 90, requires total of 15 hours. Therefore 5 teachers

10/180 * T/90 = (10*90)/180 = T. T=5

b) 5

3 x 10 = T x 5 = 30/5

c) 120

6 papers per hour * 20 Teachers = 120 papers

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

7/10
  • Question 17
  • Answer

Question 17

Answer

a) 56

Work backwards. 20 MINUS 6 = 14 MULTIPLY BY 4 = 56

Sense check and work through from 56. 56/4 + 6 = 20

b) 7.5

6/4 = 1.5 + 6

c) even and multiples of 4

d) 48

18 minus 6 = 12. Multiply by 4 = 48

e) 216

Work backwads twice. 9 MINUS 6 = 15 X 4 = 60. Then again. 60 minus 6 = 54 x 4 = 216

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 13
  • Answer

Question 13

Answer

a) 11

Work out RHS first = 26. Then rearrange formula if needed. ? = 26 – 15. Therefore ? =11

b) 5

2+20 = 27 – ?

BIDMAS

c) 0.5

18/3 = 6. ?  x 12 = 6. This would bee 0.5

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 6
  • Answer

Question 6

6. (a) Which number is 1000 times larger than 0.8?
Answer: ……………………………………….
(b) Which number is 100 times smaller than 349?
Answer: ……………………………………….

Answer

a) 800

Move decimal 3 places to the right. So it becomes 800

b) 3.49

Move decimal 2 places to the left

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 4
  • Answer

Question 4

4. Work out 5922 ÷ 6

Answer

987

Simple division question

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 14
  • Answer

Question 14

Answer

a) 18

3=40p. Therefore, number of 40p’s in £2.40. 6 times.

b) £4.40

If 3 stickers cost 40p, then 3’s into 33 = 11x . Therefore 40p x 11

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 4
  • Answer

Question 4

Answer

917

Bus stop method. A great tip is to ensure the answer you get is a whole number. In MOST 11+ questions, the answer will be a whole integer. So if you get for example 916.5 as your answer, go back and check as there could be a small error

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 29
  • Answer

Question 29

Answer

a) 15 laps

Convert the 6km to m which gives 6000m. 400 into 6000

Remove like for like zeros to make it easier to work through. So it becomes 4 into 60. This gives 15 laps

b) 13.8km

Always step by step on what you know:

  • Marathon 13.4km
  • Running Track 3 laps @ 400m = 1.2km
  • Total of the above is 14.6km
  • This leaves 42.2-14.6 as the town run. Which is 27.6km
  • Half of this town run (as its 2 laps) would give 13.8km per town run lap

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 20
  • Answer

Question 20

20. Summer has correctly used her calculator to work out that
17 x 538 = 9146
Without doing any long multiplication or division, use Summer’s calculation to work out
(a) 17 x 540
Answer: ……………………………………….
(b) 27 x 538
Answer: ……………………………………….
(c) 9146 ÷ 34
Answer: ……………………………………….

Answer

a) 9,180

The approach is to take 17 x 2. Given that you already have 17 x 538, its just another 17 x 2 that needs to be added onto the answer. So add 34 to 9146

b) 14,526

The change is from 17 to 27. So just take the difference of 10 and multiply by 538. This is 5380. Add this to the original answer

c) 269

Re-arrange the formula. 9146/17 = 538. So 9146/34 is half of the prior answer

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 15
  • Answer

Question 15

Answer

a) See below…

(6×4)-3 = 21

(33+3) / 4 = 9 (need to work backwards so therefore, reverse the signage)

(-1+3) / 4 = 0.5

b) x2 + 2

Try with the bottom line first as these are positive numbers so slightly easier to work with

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 11
  • Answer

Question 11

Answer

a) 2

Solve what you can. So 23 x ? = 46. Then re-arrange the formula. ? = 46/23 = 2

b) 4

Remember BIDMAS. Solve 5-2 first = 3. So 3 to power of 2 is 3×3 = 9.

13 = ? + 9. Re-arrange to give 4

c) 9

2 + 6 = 8

72 ÷ ? = 8. Re-arrange to give 9

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 8
  • Answer

Question 8

Answer

28

Look at the pattern in the first 2 numbers and the relationship. So 112 to 56. So 56 is half of 112. This tells you that its possible that the number is 28. This is confirmed because when you halve this, you end up at 14 as the final number

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

2/10
  • Question 4
  • Answer

Question 4

4. Work out 7083 ÷ 9

Answer

787

Simple Operations Question

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 4
  • Answer

Question 4

Answer

704

Similar to a prior question. Try a simpler example to see what happens. 25X4=100. So , substituting this into the question means 100/2=50

The divide by 2 is halving the prior number of 4 because in the question, 100 is halved to 50. Applying this approach, gave us 704 because we take 352 x 2

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

3/10
  • Question 2
  • Answer

Question 2

Answer

a) 3/7

The way to look at this is how you would approach a simpler question: Lets say….10+6 = 16. So 16-6=10

Therefore, the same approach says that 3/7ths is the answer. Proven, you can do the following:

25/42 – 1/6 = 25/42 – 7/42 = 18/42 = 3/7

b) 11/12

Same test using Example numbers. 3X7=21. Therefore, 21/3 = 7 .

The examples given above are simply that. Its easier to think of the same principles using examples and then substitute in the real question numbers rather than think of the question as a tricky fractions question and try and work it out.

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

2/10
  • Question 21
  • Answer

Question 21

21 Ravi has two sisters, Harsha and Harpreet. He likes to share out his sweets unfairly. One day he gives Harsha twice as many as he gives himself, and he gives Harpreet half as many as he gives himself. If there are 42 sweets in total how many does Ravi get?

Answer

12

The best way to solve this question is with the use of Algebra. In fact many maths questions where they have someone or something being “X” times more or less than the other, Algebra comes in handy. So lets solve….

2Harsha=1Ravi

2Ravi=1Harpreet

If 42 sweets altogether, then lets work out the total number of “shares” of sweets:

4Harsha+2Ravi+1Harpreet

In the above, you start with Harpreet as being 1 share (or x if you like) and then work through to Harsha

The objective is to get to the number of “shares” to see how many portion you divide the sweets between. Its 7 times

So 42/7 means each share of sweets is worth 6.

Ravi gets 2 shares so he gets 12

 

 

 

 

 

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

6/10
  • Question 16
  • Answer

Question 16

16. A twelve inch ruler is approximately 30 cm long. Use this fact to estimate each of the following:
i) The number of centimetres in 4 inches.
ii) The number of inches in 5 centimetres.
iii)The number of centimetres in 9 feet 10 inches

Answer

i) 10cm

ii) 2 inches

iii) 295cm

 

i) Calculate number of cm per inch. So 30cm/12.5inches = 2.5cm per inch.

4 x 2.5 = 10cm

ii) Work backwards now that you know its 2.5cm per inch

5cm/2.5cm per inch = 2 inches

iii) cm in 9ft 10 inches

9ft = 30cm (per foot) * 9 = 270cm

10 inches = 2.5 x 10 = 25cm

Total 295cm

 

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

5/10
  • Question 14
  • Answer

Question 14

14. Work out each of the following:
4.76 x 10

39.2 ÷ 100

Answer

47.6

0.392

Standard Operations questions but just moving the decimals. Number of zeros in first qtn is 1, move 1 place to right. Number of zeros in second question being 2, move 2 places to left.

Multiply, move decimal to right. Divide, move decimal to left

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

2/10
  • Question 10
  • Answer

Question 10

10. If 750 grams of pasta cost 90p find the cost of 1 kilogram

Answer

£1.20

Can be done a few ways. Easiest way is to think of HCF of 750g and 1kg. This is 250g. Then to work out 250g cost and from there, x by 4

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

4/10
  • Question 7
  • Answer

Question 7

7. Rob works 40 hours a week and earns £440. What is his hourly rate of pay?

Answer

£11

Standard Division question. Use Bus stop method

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Question 4
  • Answer

Question 4

4. Divide: 324 ÷ 9

Answer

36

Use Bus Stop method as the easiest approach

Would you like to see similar questions? Click on one of the links below:

Difficulty Rating

1/10
  • Tab 1
  • Tab 2

Tab 1

Tab 2

Schools & Advice

Slough Consortium

Buckinghamshire

Kent

Birmingham

11+ Mock Exams

Richmond 11+ Mock Exams

Feltham 11+ Mock Exams

Difference CEM & GL 11+

11+ Past Papers

Free 11+ Practice Papers

London Consortium Past Papers

Summer Courses

11+ Summer Course

123Tutors

Contact Us:

T: 07903 139807

E: info@123tutors.co.uk

A: 10 Leigh Place, Feltham, TW13 5AQ

Facebook   Twitter   Linkedin   Google Mybusiness

Copyright 123Tutors.co.uk

Login with your site account

Lost your password?

Not a member yet? Register now

Register a new account

Are you a member? Login now