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Multiplication

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  • Multiplication
  • Question 5
  • Answer

Question 5

Answer

48cm

Area of rectangle is 128cm²

So use algebra to solve (remember area of rectangle = LxW)

2x * x = 128 (where 2x = length and x = width. Use 2x given length is twice width)

3x=128

2x²=128

x²=64

x=8

So perimeter = (8*4 for the length + 8*2 for the width) = 48cm

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Difficulty Rating

8/10
  • Question 4
  • Answer

Question 4

Answer

84

120 pupils

2/5ths boys = 48 boys (120/5 * 2)

3/4s of boys write in pencil = 48 * 3/4 = 36

Girls = (120-48)-72

1/3 in pen so 24.

2/3 in pencil so 48

Total in Pencil = 36 + 48 = 84

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Difficulty Rating

8/10
  • Question 2
  • Answer

Question 2

Answer

£450

£12,000 full price

Discount = 12,000 * 35/100 = £4,200

So reduced price = £12,000 – £4,200 = £7,800

£7,800 less savings of £7,350 = £450

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Difficulty Rating

6/10
  • Question 3
  • Answer

Question 3

Answer

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Difficulty Rating

10/10
  • Question 12
  • Answer

Question 12

Answer

B

£120 * 85/100 = £102

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Difficulty Rating

3/10
  • 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

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Difficulty Rating

5/10
  • Question 6
  • Answer

Question 6

Answer

C

6+7 = 13 minutes marking.

13+2 = 15 minutes marking + checking

15 * 28 = 420minutes

420/60 = 7 hours

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Difficulty Rating

5/10
  • Question 5
  • Answer

Question 5

Answer

C

9 * 120 = 1080g

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3/10
  • Question 1
  • Answer

Question 1

Answer

D

Work backwards. So 95+8 = 103

103-3 = 100

100/5 = 20

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Difficulty Rating

3/10
  • Question 2
  • Answer

Question 2

 

Answer

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Difficulty Rating

10/10
  • Question 1
  • Answer

Question 1

 

Answer

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10/10
  • Question 4
  • Answer

Question 4

Answer

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10/10
  • Question 3
  • Answer

Question 3

Answer

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10/10
  • Question 1
  • Answer

Question 1

Answer

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6/10
  • Question 16
  • Answer

Question 16

Answer

a) £4

200 x 2p = 400p

b) £9.50

150 x 1p + 160 x 5p

c) See below:

d) No part d in question

e) £40.60

£156.50 – (150x1p) – (200x2p)-(160x5p)-(120x20p)-(90x50p)-(55x£1)

£156.50 – £1.50 – £4 – £8 – £2.40 – £45 – £55 = £40.60

 

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Difficulty Rating

8/10
  • Question 12
  • Answer

Question 12

Answer

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3/10
  • Question 11
  • Answer

Question 11

Answer

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4/10
  • Question 8
  • Answer

Question 8

Answer

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4/10
  • Question 5
  • Answer

Question 5

Answer

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Difficulty Rating

6/10
  • Question 4
  • Answer

Question 4

Answer

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4/10
  • Question 3
  • Answer

Question 3

Answer

a) £5.41

b) 0.732

c) 3.3125

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Difficulty Rating

5/10
  • Question 2
  • Answer

Question 2

Answer

a) 399

b) 3,990

c) 4,389

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Difficulty Rating

2/10
  • Question 31
  • Answer

Question 31

Answer

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Difficulty Rating

5/10
  • Question 24
  • Answer

Question 24

Answer

24

Do inverse which is 624/26 = 24

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Difficulty Rating

3/10
  • Question 22
  • Answer

Question 22

Answer

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3/10
  • Question 17
  • Answer

Question 17

Answer

a) 55%

100% – 25% – 15% – 5%

b) 5

25% of 20 = 1/4 * 20

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Difficulty Rating

4/10
  • Question 16
  • Answer

Question 16

Answer

49

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Difficulty Rating

3/10
  • Question 10
  • Answer

Question 10

Answer

12

Many options here

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Difficulty Rating

2/10
  • Question 9
  • Answer

Question 9

Answer

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5/10
  • Question 8
  • Answer

Question 8

Answer

a) 15

99-84

b) 9

63 – 54

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3/10
  • Question 6
  • Answer

Question 6

Answer

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5/10
  • 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

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3/10
  • Question 2
  • Answer

Question 2

Answer

a) 26

b) (32+9+6)=47 * (9-6) = 141 – (9-6) = 138

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Difficulty Rating

4/10
  • Question 20
  • Answer

Question 20

Answer

a) 5

b) 3

(2×3)/2

c) 22

(3×6)+(2*2)

Substitution

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Difficulty Rating

5/10
  • Question 18
  • Answer

Question 18

Answer

c

5 hour walk at 3km/h = 15km

5 hour walk at 4 km/h = 20km

So distance could only be 19km

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Difficulty Rating

3/10
  • Question 11
  • Answer

Question 11

Answer

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4/10
  • Question 9
  • Answer

Question 9

Answer

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Difficulty Rating

7/10
  • Question 8
  • Answer

Question 8

Answer

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6/10
  • Question 7
  • Answer

Question 7

Answer

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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

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Difficulty Rating

8/10
  • Question 3
  • Answer

Question 3

Answer

a) i) 1/3

3/9 = 1/3

a) ii) 30% shaded. Unshaded therefore = 70%

c) 50

10% of 500 = 50.

10/100 * 500

d) £127.50

85/100 * 150

Above formula to calculate 15% reduction

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Difficulty Rating

6/10
  • Question 2
  • Answer

Question 2

Answer

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5/10
  • Question 1
  • Answer

Question 1

Answer

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

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4/10
  • Question 11
  • Answer

Question 11

Answer

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8/10
  • Question 9
  • Answer

Question 9

Answer

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5/10
  • Question 6
  • Answer

Question 6

Answer

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4/10
  • Question 5
  • Answer

Question 5

Answer

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Difficulty Rating

7/10
  • Question 4
  • Answer

Question 4

Answer

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3/10
  • Question 1
  • Answer

Question 1

Answer

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4/10
  • Question 15
  • Answer

Question 15

Answer

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10/10
  • Question 10
  • Answer

Question 10

Answer

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7/10
  • Question 9
  • Answer

Question 9

Answer

a) x = 6

  1. 3x + 7 =25
  2. 3x=25-7
  3. 3x=18
  4. x = 6

b) 8

  1. 3f – 2g
  2. (3*6) – (2*5)
  3. 18-10

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Difficulty Rating

7/10
  • 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

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Difficulty Rating

8/10
  • Question 5
  • Answer

Question 5

Answer

4,8 & 20

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6/10
  • Question 4
  • Answer

Question 4

Answer

He has enough oranges

  1. Each orange in the pictogram is 4 oranges
  2. So 5 oranges above x 4 per picture = 20 oranges
  3. Plus half of an orange in the pictogram = 2 oranges
  4. So total number of oranges = 22 oranges
  5. 1 1/2 litres = 3 x 500ml. So 3 * 7 oranges per 500ml = 21 oranges
  6. He has enough in oranges

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Difficulty Rating

7/10
  • Question 2
  • Answer

Question 2

Answer

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7/10
  • Question 21
  • Answer

Question 21

Answer

25

1 + 2 x 3 x 4 = 25

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7/10
  • Question 19
  • Answer

Question 19

Answer

78000

Number of words = 256 * 33 * 9

Estimate = 260 * 30 * 10

= 78000

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Difficulty Rating

7/10
  • Question 14
  • Answer

Question 14

Answer

B

Number of grey tiles = 2*n where n=shape number

So for Shape 3, it would be 2*3 = 6 grey tiles

28 grey tiles = 2 * n so n = 14. Shape 14

For Shape 14, white tiles = (n+1) = 15

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Difficulty Rating

7/10
  • Question 12
  • Answer

Question 12

Answer

A

Work backwards. 23 – 3 = 20. Divide by 4 and you get 5

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Difficulty Rating

4/10
  • Question 10
  • Answer

Question 10

Answer

A

100 is not a multiple of 3

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4/10
  • Question 8
  • Answer

Question 8

Answer

A

1680 = 1680

Quick way is you are doubling the 24 to get to 48 on the other side. Then halving the 70 and getting 35 on the other side. So no calculations required in this question

 

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5/10
  • Question 7
  • Answer

Question 7

Answer

A

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3/10
  • Question 6
  • Answer

Question 6

Answer

C

(22-10+8) / 4

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5/10
  • Question 5
  • Answer

Question 5

Answer

C

  1. 5((6*9)+(7*3)-(8*6))
  2. This gives 5(54+21-48)
  3. This gives 5(27)
  4. Answer 135

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7/10
  • Question 4
  • Answer

Question 4

Answer

12

  1. The first even multiple of 7 is 14. The first prime number is 2
  2. Therefore, answer is 12

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Difficulty Rating

4/10
  • Question 3
  • Answer

Question 3

Answer

A

 

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5/10
  • Question 2
  • Answer

Question 2

Answer

0.006

  1. If not sure, remove the zeros. So make it 20 * 3 = 60 (ie multiply both numbers by the same amount until the zeros are removed. This would be x100)
  2. Then , because you removed 3 0s, you need to add these back in.
  3. So the 60 because 0.006

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5/10
  • Question 24
  • Answer

Question 24

Answer

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7/10
  • Question 23
  • Answer

Question 23

Answer

a) 27

8 * 9 = 72. Clotted = 27

b) 6

To give 42, reverse would be 24. So 4 * 6 = 24

c) 5 & 7

Reverse would be 35. So 2 whole numbers would be 5 & 7

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7/10
  • Question 21
  • Answer

Question 21

Answer

Area = 200cm²

  1. If 2x long as wide, then need to calculate each side
  2. Double length v width means length is 20cm and width is 10
  3. Area = 200cm²

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6/10
  • Question 19
  • Answer

Question 19

Answer

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9/10
  • Question 18
  • Answer

Question 18

Answer

a) 160cm

b) 168cm²

 

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8/10
  • 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

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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

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5/10
  • Question 12
  • Answer

Question 12

Answer

a) £102

10metres would be £10.20 * 10 = £102

b) 2.5metres

£10.20 * 2 = £20.40. This leaves £5.10 (£25.50 – £20.40)

£5.10 is exactly half of £10.20. So therefore total is 2.5 metres

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8/10
  • Question 9
  • Answer

Question 9

Answer

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5/10
  • Question 8
  • Answer

Question 8

Answer

a) 1/15

  1. Convert to the same denominator
  2. So this would mean Tom 3/5 = 9/15 and Jerry 1/3 = 5/15
  3. In total, 14/15ths has been eaten leaving 1/15

b) 250g

  1. If Tom had 3/5 = 150g, then 1/5 = 50g
  2. Therefore 5/5 = 250g

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1/10
  • Question 5
  • Answer

Question 5

Answer

630

    1. Calculate by doing 3/4 x 840
    2. “of” in maths means multiply
    3. 3/4 * 840/1
    4. Simplified……..3/1 * 210/1
    5. 630

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Difficulty Rating

4/10
  • Question 3
  • Answer

Question 3

57 × 28

Answer

1596

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Difficulty Rating

1/10
  • Question 23
  • Answer

Question 23

Answer

a) 83

(14*2)+55 = 28+55 = 83

b) 13

(9*2) = 18

31-18 = 13

c) 22

d) 0

So for d), try c = 4 and 4 = 4. This will mean that 4*2 + 4 = 12 and this is equal to 4*2 + 4 as c & d are the same. So c-d or d-c = 0

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9/10
  • Question 20
  • Answer

Question 20

Answer

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10/10
  • Question 19
  • Answer

Question 19

Answer

£29.90

  1. First divide exactly by 2 as if they have 50/50. So this would be £23
  2. Then take 15% off Miguel and give this to Jon. So the revised share becomes 35% Miguel and 65% Jon
  3. So £46 * 65/100 =

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7/10
  • Question 18
  • Answer

Question 18

Answer

462cm

Large Triangle = 16cm * 3 (all sides same as its equilateral). So 48cm

Middle Triangle = 7cm * 3 triangles * 3 sides (7 small triangles of 1cm each on the horizontal base tells us its a 7x7x7 triangle). So 63cm

Next size Triangle of which there are 3 = 3cm * 3 triangles * 3 sides = 27cm. There are 3 of them so 27cm

Smallest triangle = 36 small triangles all of 1cm per side. So 3cm *36 triangles * 3 sides = 324cm

Total of all of these is 48 + 63 + 27 + 324

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Difficulty Rating

10/10
  • 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

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7/10
  • Question 15
  • Answer

Question 15

Answer

a) 120

(17+13)(17-13) = 30 * 4 = 120

b) 776,000

(888+112)(888-112) = 1000 * 776 = 776000

c) 50

(7.5+2.5)(7.5-2.5) = 10 * 5 = 50

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4/10
  • Question 8
  • Answer

Question 8

Answer

a) 12.5%

3 films = 45 degrees

45/360 = 0.125 = 12.5%

b) 7/24

Focus on left hand side (so 0,1, & 4 together = 180 degrees)

0 children = 180 degrees – 45 – 30 = 105 degrees

105/360 = 21/72 = 7/24

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Difficulty Rating

8/10
  • Question 7
  • Answer

Question 7

Answer

120

  1. Use BIDMAS
  2. 20 + (1 x 7) = 27
  3. (20 + 1) x 7 = 147
  4. 147-27

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4/10
  • Question 6
  • Answer

Question 6

Answer

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3/10
  • Question 5
  • Answer

Question 5

Answer

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5/10
  • Question 2
  • Answer

Question 2

Answer

2646

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1/10
  • Question 22
  • Answer

Question 22

Answer

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10/10
  • Question 18
  • Answer

Question 18

Answer

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6/10
  • Question 15
  • Answer

Question 15

Answer

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8/10
  • Question 14
  • Answer

Question 14

Answer

90ml

  1. This is indirectly a question on ratios.
  2. So if you assume for every 10ml consumed by Jane, Alex consumes 15, the ratio is Alex 15:10 Jane
  3. So 150ml/25 parts = 6
  4. Alex = 6 *15 = 90ml
  5. Check would be Jane which is 10 * 6 = 60
  6. So confirms Alex consumes 50% more than Jane

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7/10
  • Question 12
  • Answer

Question 12

Answer

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6/10
  • Question 10
  • Answer

Question 10

Answer

15/26

When doing this type of question, you can’t answer 7.5/13 obviously. So the solution is to double each fraction and “force” a gap

So this becomes 14/26 and 16/26

Answer is 15/26

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Difficulty Rating

7/10
  • Question 7
  • Answer

Question 7

Answer

74

  1. (4+2) x 13 = 104
  2. 4 + (2×13) = 30
  3. Difference = 104 – 30

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Difficulty Rating

4/10
  • Question 6
  • Answer

Question 6

Answer

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Difficulty Rating

3/10
  • Question 2
  • Answer

Question 2

Answer

1691

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Difficulty Rating

1/10
  • Question 23
  • Answer

Question 23

Answer

 

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Difficulty Rating

3/10
  • Question 22
  • Answer

Question 22

Answer

a) 4

  1. Mean of 7 numbers = 12. Total = 84
  2. If 8th number added and mean is 11, total must now be 88 (8*11)
  3. So , the number included = 88-84 = 4

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Difficulty Rating

4/10
  • Question 21
  • Answer

Question 21

Answer

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Difficulty Rating

5/10
  • Question 17
  • Answer

Question 17

Answer

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Difficulty Rating

5/10
  • Question 13
  • Answer

Question 13

Answer

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Difficulty Rating

6/10
  • Question 9
  • Answer

Question 9

Answer

70

  1. Use BIDMAS. (7+3) x 11 = 10 x 11 = 110
  2. 7+ (3×11) = 40
  3. 110-40 = 70

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Difficulty Rating

4/10
  • Question 7
  • Answer

Question 7

Answer

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Difficulty Rating

3/10
  • Question 3
  • Answer

Question 3

Answer

2737

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Difficulty Rating

1/10
  • Question 16
  • Answer

Question 16

Answer

a) 8

  1. 30 socks – 10 white; 20 non-whites. Of the 20, 2/5th are blue
  2. So 20 * 2/5 = 8

b) 6 pairs

  1. Of the non-whites, 8 are blue so this leaves 12
  2. With 12 left, it could make 6 pairs

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Difficulty Rating

4/10
  • Question 15
  • Answer

Question 15

Answer

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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

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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

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Difficulty Rating

5/10
  • Question 9
  • Answer

Question 9

Answer

a) 30°

Swimming & Golf together are 90°

Therefore, Golf is 90 – 60 =30

b) 1/8

Rugby = 45/360 = 9/72 = 1/8

c) 90

  1. Football = 180° – 45° = 135°
  2. 135/360 * 240/1

d) 220

  1. 1320 * 60/360

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Difficulty Rating

6/10
  • Question 3
  • Answer

Question 3

Answer

3702

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Difficulty Rating

1/10
  • Question 19
  • Answer

Question 19

Answer

a) to d) below

e) See below

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Difficulty Rating

8/10
  • Question 10
  • Answer

Question 10

Answer

a) 30°

180 – Australia – Africa = 180-90-60

b) 1/8

45/360 = 9/72 = 1/8

c) 30

180/1 * 60/360 = 180*1/6 = 30

d) 1000

Degrees for Europe = 180 – USA = 180-45 = 135

1600 * 225/360. Simplified this is 1600 * 45/72 = 15/24

1600/1 * 15/24

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Difficulty Rating

5/10
  • Question 7
  • Answer

Question 7

Answer

£1.35

  1. 15 * 35p = £5.25
  2. Multipack = £3.90
  3. Difference = £1.35

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Difficulty Rating

3/10
  • Question 6
  • Answer

Question 6

Answer

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Difficulty Rating

3/10
  • Question 3
  • Answer

Question 3

Answer

3258

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Difficulty Rating

1/10
  • Question 17
  • Answer

Question 17

Answer

a) 1200mm²

Area of rectangle = LxW = 60mm x 20mm

b) 40 triangles

2 Triangles will joined together have dimensions of LxW = 12mmx5mm. So they form a rectangle

Therefore, in 60mm across, you get 5 “blocks” of 2 triangles. And you can go to a height of 4 blocks

So in total 5 * 4 blocks = 20 blocks. 2 triangles per block so 40 triangles

c) 1200mm

Perimeter of 1 triangle = 12+5+13=30mm

Total number of triangles = 40

Total Perimeter =1200mm

d) 1.2m

10mm = 1cm

100cm = 1m

1000mm = 1m

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Difficulty Rating

7/10
  • Question 11
  • Answer

Question 11

Answer

85p

  1. 12 * 65p = £7.80
  2. £7.80 – £6.95 = 85p

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Difficulty Rating

5/10
  • Question 9
  • Answer

Question 9

Answer

a) 1/8

45/360. Start off with 5 as the highest common denominator. Although there is a higher one

So 45/360 would become 9/72

Then 9/72 becomes 1/8

b) 40

Its the usual formula approach for this:

60/360 * 240/1

Then simplify each fraction (so 60/360 becomes 1/6)

Revised calculation is 1/6 * 240/1. Cross cancel and then multiply from there. See online videos on Youtube for 123tutors for further guidance

c) 450

Football is 135°. So 135/360 * 1200

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Difficulty Rating

6/10
  • Question 7
  • Answer

Question 7

Answer

a) 12

1/4 * 48/1

b) 2

48 * 1/2 = 24.

24 * 1/3 = 8

8 * 1/4 = 2

Remember of in maths means multiply

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Difficulty Rating

4/10
  • Question 3
  • Answer

Question 3

Answer

2184

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Difficulty Rating

1/10
  • Question 34
  • Answer

Question 34

Answer

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Difficulty Rating

10/10
  • 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)

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Difficulty Rating

8/10
  • Question 29
  • Answer

Question 29

Answer

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Difficulty Rating

7/10
  • Question 28
  • Answer

Question 28

Answer

Area of 1 rectangle = 15 x 5 = 75cm²

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Difficulty Rating

8/10
  • Question 27
  • Answer

Question 27

Answer

4 children

  1. 56 legs with 3:1 ratio dogs:children
  2. 12 dogs = 48 legs. 4 children = 8 legs. So thats 56 legs altogether
  3. For every 3 dogs there are 12 legs. For every 1 child, 2 legs. So leg ratio is 12:2 = 14 legs
  4. Then work up in 14s to get to 56 which takes you to 48:8
  5. So 8 legs = 4 children

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Difficulty Rating

7/10
  • Question 18
  • Answer

Question 18

Answer

20cm²

Its 10cm length x 2cm height. So 20cm²

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Difficulty Rating

4/10
  • Question 16
  • Answer

Question 16

Answer

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Difficulty Rating

3/10
  • Question 15
  • Answer

Question 15

Answer

18

  1. A=5/8; P=3/8
  2. Pears therefore = 3/8 * 48/1
  3. Pears = 18

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Difficulty Rating

5/10
  • Question 14
  • Answer

Question 14

Answer

18

  1. B=2 ; A=5
  2. If A = 45 turns, it has done 9 times as many as the “base case”
  3. Therefore, B will also do 9 times as many so its 18 times

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4/10
  • Question 3
  • Answer

Question 3

Answer

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1/10
  • Question 21
  • Answer

Question 21

Answer

£1.11

  1. 3mins * 7p = 21p
  2. 18mins * 5p = 90p
  3. Total cost = 111p

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Difficulty Rating

6/10
  • Question 13
  • Answer

Question 13

Answer

a) 1 hour 25mins

7.10pm – 5.35pm = 1 hour 25mins

b) 16 hours 30 mins

2 hours 45 mins converted to minutes = 165minutes

165minutes * 2 = 330mins

330mins * 3 = 990mins

990mins/ 60mins

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Difficulty Rating

1/10
  • Question 12
  • Answer

Question 12

Answer

£208

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

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Difficulty Rating

4/10
  • Question 11
  • Answer

Question 11

Answer

48

  1. Do your 3 x 4 times table to find a number in between 41 and 51
  2. So 12,24,36,48
  3. Answer is 48

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Difficulty Rating

5/10
  • Question 8
  • Answer

Question 8

Answer

15

  1. 24/1 * 5/8
  2. Simplified = 3/1 * 5/1 = 15

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Difficulty Rating

5/10
  • Question 3
  • Answer

Question 3

Answer

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Difficulty Rating

1/10
  • Question 32
  • Answer

Question 32

Answer

6 weeks

  1. Per week she gets (79p-44p) profit. So this is 35p per download
  2. 150 downloads per day = 150x35p = £52.50 per day
  3. £2000/£52.50 = 38.1 days
  4. So this is 6 weeks as this is 42 days as she gets paid at the end of each week so you can’t use part a week

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Difficulty Rating

10/10
  • 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

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Difficulty Rating

9/10
  • Question 27
  • Answer

Question 27

Answer

Use BIDMAS

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Difficulty Rating

10/10
  • Question 26
  • Answer

Question 26

Answer

a) £27

Cost = ((8×3) + (3×1)) = 24+3 = 27

b) 2 adults. 3 children

Use £25 and work backwards taking off children until you get to a multiple of 8

So £16 would be the number

£25-£16 = £9. So thats 3 children

Leaving £16 so its 2 adults

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Difficulty Rating

9/10
  • Question 23
  • Answer

Question 23

Answer

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5/10
  • Question 20
  • Answer

Question 20

Answer

£20.90

  1. £25.50 x 3 = £76.50
  2. £1.30 x 2 = £2.60
  3. Total = £79.10
  4. Change = £100 – £79.10

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Difficulty Rating

6/10
  • Question 18
  • Answer

Question 18

Answer

a) 24

Half of the 48 students so 24

b) 1/4

c) 4

Pizza is about 1/3 of 1/4.

1/4 = 12 children given 1/2 = 24

So 1/3 of 12 = 4

 

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Difficulty Rating

6/10
  • Question 14
  • Answer

Question 14

Answer

25,100 millimetres

  1. 25.1metres = 25.1 x 100 = 2,510 centimetres
  2. 2,510 x 10 = 25,100 millimetres

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5/10
  • Question 9
  • Answer

Question 9

Answer

858

  1. 22 x 39
  2. 858

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4/10
  • Question 7
  • Answer

Question 7

Answer

36

      1. 15/100 * 240/1
      2. Simplify…3/20 * 240/1
      3. 3/1 * 12/1
      4. 36

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Difficulty Rating

5/10
  • Question 3
  • Answer

Question 3

Answer

413

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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

 

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Difficulty Rating

5/10
  • 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

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Difficulty Rating

7/10
  • Question 27
  • Answer

Question 27

Answer

38

  1. Triple 16 = 48 points. Double 20 = 40 points
  2. Total so far is 88 points
  3. He therefore needs 38 with this final dart

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Difficulty Rating

4/10
  • Question 26
  • Answer

Question 26

Answer

175

  1. To paint houses, 14 days per house x 14 houses = 168 days
  2. Add 4 days holiday = 172
  3. Add 3 days sick leave = 175

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Difficulty Rating

4/10
  • 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

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Difficulty Rating

5/10
  • Question 16
  • Answer

Question 16

Answer

9,600cm³

Volume = length x width x height

Volume = 3.2 x 1.5 x 2

Volume = 6.4 x 1.5

Volume = 9.6 (this is in metres. Convert to centimetres)

9.6litres

1 litre = 1000cm³

 

 

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Difficulty Rating

7/10
  • 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

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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

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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

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Difficulty Rating

3/10
  • 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

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Difficulty Rating

6/10
  • Question 21
  • Answer

Question 21

Answer

72 stickers

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

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5/10
  • Question 11
  • Answer

Question 11

Answer

a) 672

b) 264

c) 1,081

d) 843

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Difficulty Rating

2/10
  • Question 10
  • Answer

Question 10

Answer

E

  1. £1.99 x 6 = £11.94
  2. Change would be £20.00 – £11.94

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Difficulty Rating

4/10
  • Question 5
  • Answer

Question 5

Answer

D

  1. Use BIDMAS. Therefore…
  2. 32-8
  3. 24

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Difficulty Rating

4/10
  • Question 1
  • Answer

Question 1

Answer

D

  1. 60 seconds per minute. 4 minutes = 60 x 4 – 240

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2/10
  • Question 22
  • Answer

Question 22

Answer

a) 12 seconds

  1. After 2 seconds, Gary is at 20metres which is when Andy starts running
  2. So Andy has 20 metres to make up
  3. It will take him 10 seconds to close this gap as he makes up 2 metres per second
  4. Add the initial 2 second start that Gary had over Andy

b) 120 metres

  1. Distance = Speed x Time
  2. Therefore = 12m/s x 10 seconds = 120 metres

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Difficulty Rating

6/10
  • Question 11
  • Answer

Question 11

Answer

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3/10
  • Question 23
  • Answer

Question 23

Answer

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4/10
  • Question 16
  • Answer

Question 16

Answer

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

b) 30 ( 120/4)

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Difficulty Rating

4/10
  • Question 14
  • Answer

Question 14

Answer

Test 1

  1. 60/80 = 75% (60/80 *100/1)
  2. 70/100 = 70% (70/100 * 100/1)

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Difficulty Rating

5/10
  • Question 11
  • Answer

Question 11

Answer

8

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5/10
  • 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

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5/10
  • Question 4
  • Answer

Question 4

Answer

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5/10
  • Question 3
  • Answer

Question 3

Answer

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Difficulty Rating

4/10
  • Question 22
  • Answer

Question 22

Answer

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8/10
  • Question 20
  • Answer

Question 20

Answer

a. 10 seconds

If turn is 360 degrees every 40 seconds, 90 degrees as a right angle would take 1/4 of 40 = 10 seconds

b. 84 turns

In 56 minutes, the sails make 56/1 * 60/40 turns

Again, use of fractions to calculate these types of questions

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Difficulty Rating

7/10
  • Question 5
  • Answer

Question 5

Answer

6 & 8

  1. Think about numbers that multiply to give 48. Thats going to be starting with low numbers, 2 * 24, 3 * 16, 4* 12, 6 * 8 etc
  2. Answer is 6 * 8 as these numbers when added give 14 and multiplied, give 48

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Difficulty Rating

3/10
  • Question 3
  • Answer

Question 3

Answer

406

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1/10
  • Question 30
  • Answer

Question 30

Answer

Start with Sneezy as this is given as 24 and work from there

Grumpy gets 1 more so is on 25 etc etc

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Difficulty Rating

9/10
  • Question 29
  • Answer

Question 29

Answer

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Difficulty Rating

7/10
  • Question 25
  • Answer

Question 25

Answer

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7/10
  • Question 22
  • Answer

Question 22

Answer

116cm

  1. Number of days = 5
  2. Height sunflower grows is (68 – 48) = 20cm
  3. Per Day growth therefore = 4cm
  4. Taking 21st August through to 2nd September = 12 days
  5. Therefore, growth during this period is 48cm
  6. Adding on the height as of 21st August of 68cm = 116cm

28th July

  1. Work Backwards. 4cm per day = 12 days
  2. Therefore, 12 days from 16th August 4th August
  3. Then take a week off this and you get 28th July

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Difficulty Rating

7/10
  • Question 18
  • Answer

Question 18

Answer

180

  1. 23 – 13 = 10.
  2. 23 – 5 = 18
  3. 10 x 18 = 180

13, 5

  1. 13 as the first number. So he would end up with zero
  2. Or for the second number, 5 so he ends up with zero for the second number

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Difficulty Rating

5/10
  • Question 11
  • Answer

Question 11

Answer

5 Pens 4 Pencils

  1. Whatever you buy in pens, just end in a 5 or 0. So the only number this applies to between 0 and 55 is 35
  2. So its 5 Pens. This leaves 20p
  3. 20p is for pencils @ 5p each
  4. So 4 pencils

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Difficulty Rating

5/10
  • Question 5
  • Answer

Question 5

Answer

£14.90

1. £2.98  * 5

2. Multiplication question in words

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Difficulty Rating

2/10
  • Question 3
  • Answer

Question 3

Answer

448

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Difficulty Rating

1/10
  • Question 28
  • Answer

Question 28

Answer

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Difficulty Rating

9/10
  • Question 26
  • Answer

Question 26

Answer

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Difficulty Rating

7/10
  • Question 21
  • Answer

Question 21

Answer

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Difficulty Rating

5/10
  • Question 18
  • Answer

Question 18

Answer

£32

  1. Working backwards, 25% discount would mean discount on ticket cost was 25/75 * 30/1 = £10
  2. Full Price Child = £40
  3. Senior Citizen therefore pays 80/100 * 40/1 = £32

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Difficulty Rating

4/10
  • Question 13
  • Answer

Question 13

Answer

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Difficulty Rating

4/10
  • Question 12
  • Answer

Question 12

Answer

36

8, 12, 16

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Difficulty Rating

4/10
  • Question 11
  • Answer

Question 11

Answer

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Difficulty Rating

3/10
  • Question 10
  • Answer

Question 10

Answer

1320

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Difficulty Rating

5/10
  • Question 3
  • Answer

Question 3

Answer

306

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Difficulty Rating

1/10
  • Question 27
  • Answer

Question 27

Answer

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Difficulty Rating

8/10
  • Question 24
  • Answer

Question 24

Answer

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Difficulty Rating

8/10
  • Question 23
  • Answer

Question 23

Answer

Use the inverse operation of 17 * 11 = 187

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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

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Difficulty Rating

4/10
  • Question 16
  • Answer

Question 16

Answer

E

Use substitution of values:

Orange costs 10p, Apple costs 5p

A – 35p (2 x 10p) + (3 x 5p)

B – 35p

C – 35p (1 x 10p) + (5 x 5p)

D – 35p (3 x 10p) + (1 x 5p)

E – 40p

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Difficulty Rating

4/10
  • Question 12
  • Answer

Question 12

Answer

95p

  1. 85p x 3 = £2.55
  2. 30p x 5 = £1.50
  3. Total Cost = £4.05
  4. Change = £5.00 – £4.05 = 95p

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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

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Difficulty Rating

3/10
  • Question 3
  • Answer

Question 3

Answer

536

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Difficulty Rating

1/10
  • Question 24
  • Answer

Question 24

Answer

See below

 

 

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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

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Difficulty Rating

9/10
  • Question 17
  • Answer

Question 17

Answer

£660

120/100 * 550/1
Simplify the calculation per normal rules of simplification and cross cancellation and then calculate

£1000
100/120 * 1200/1

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Difficulty Rating

7/10
  • Question 14
  • Answer

Question 14

Answer

70 hours

Process:

  1. If Lazy Living = 2/7ths, Celeb Gossip is 5/7
  2. 5/7 * 98/1
  3. Simplified this is = 5/1 * 14/1
  4. This is 70

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Difficulty Rating

5/10
  • Question 13
  • Answer

Question 13

Answer

0.4

Process:

  1. One option is to change 0.08 to 8. So x 100
  2. Then multiply 8 by 5
  3. This gives 40
  4. Then to divide the answer by 100 as you originally multipied the question x 100
  5. This gives 0.4

 

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Difficulty Rating

5/10
  • Question 7
  • Answer

Question 7

Answer

52,272

product means multiplication

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Difficulty Rating

3/10
  • Question 6
  • Answer

Question 6

Answer

150ml

  1. Ratios question. 1R:2O:3A = 6 parts
  2. Each party is 50ml
  3. So 3 parts is 150ml

 

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Difficulty Rating

4/10
  • Question 3
  • Answer

Question 3

Answer

434

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Difficulty Rating

1/10
  • Question 29
  • Answer

Question 29

Answer

Total Cost of Family of 2 adults and 3 children = £6,020

  1. Calculate each component at a time;
  2. Read the question carefully as infants (children <2) travel free;
  3. So real cost is 2 adults and 2 children;
  4. (2 x 1550) + (2×900) + (2×320) + (2×240) = £6,020

Difference of cost to stay at Portomento Bay = £790

  1. Calculate the cost of each sub part;
  2. Portomento Bay = £2050 + £1040 + £320 + £240 = £3,650
  3. South Seas = £1,450 + £850 + £320 + £240 = £2,860
  4. Difference = £790

By buying online, they save £300

  1. 25% of …..So 25/100 * [(320×3) + (240)]
  2. Therefore, 25% of £1,200
  3. £300

Holiday Mill

  1. This is because 3 adults cost (3×1550) = £4,650
  2. Cost of child = £900
  3. Therefore, cost is £5,550

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Difficulty Rating

9/10
  • Question 27
  • Answer

Question 27

Answer

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Difficulty Rating

6/10
  • Question 23
  • Answer

Question 23

Answer

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Difficulty Rating

7/10
  • Question 21
  • Answer

Question 21

Answer

See below

The trick here is to substitute the actual scenarios with a given value. For example, assume the value costs £4.

Then use this figure in every single option to see which one works

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Difficulty Rating

6/10
  • Question 18
  • Answer