7392

1/10

6359

1/10

22,374

1/10

686

## Difficulty Rating

1/10

#### Question 5

128

Use the following method and remember  “of” means multiply in maths

3/4 * 1/96

This gives
3/384
Simplified….
128/1

## Difficulty Rating

4/10

#### Question 6

For sequences, always look at the change number on number

## Difficulty Rating

4/10

#### Question 7

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

4/10

13,750

14,050 – 300

## Difficulty Rating

2/10

#### Question 9

>

112 is the Left Hand side.  102 is the Right Hand Side. Missing sign is greater than

3/10

+3ºC

-11 + 14

## Difficulty Rating

3/10

#### Question 11

3

Work Backwards. 56 / 8 = 7.

Then 7 minus 4 = 3

3/10

## Difficulty Rating

6/10

#### Question 13

8.40 a.m

1. If not sure, go to the first full hour which is 8.00 a.m
2. This then leaves 40 minutes to add on so its 8.40 a.m

## Difficulty Rating

4/10

#### Question 14

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

## Difficulty Rating

4/10

#### Question 15

a i) 80

ii) 23

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

b) x2 -6 OR -3 x2

5/10

a) 13,485

b) 49,853

c) 984

d) 89

## Difficulty Rating

5/10

#### Question 17

See below. The clue as to how to complete it is given by the fact that the diagonals given add up to 15. So all horizontal, vertical and diagonals need to add up to 15

## Difficulty Rating

4/10

#### Question 18

a) 1,592

1554 + 38 = 1592

b) 777

Half of the original answer (37  * 42)/2

c) 3.7

37/10

## Difficulty Rating

6/10

#### Question 19

a) See below

Use the HCF Principle. This is the best approach. So HCF of 6 & 15 is 3. Therefore, work out what is needed for 3 people

Then multiply the result by 5 to get to what is needed for 15 people

b) 60 people

If 100g is 6 people, then 1kg is 10x 6 people

## Difficulty Rating

6/10

#### Question 20

12

Consider the various options to multiply to get to 72.

2 x 36; 3 x 24; 9 x 8, 12 x 6

12 x 6 is the only option which meets the criteria

7/10

a) 4

b) See below

## Difficulty Rating

5/10

#### Question 22

a) 6

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

b) 4

32/8 = 4

## Difficulty Rating

4/10

#### Question 23

See below

Start with the lines closest to the mirror. This is the best approach

## Difficulty Rating

4/10

#### Question 24

39 minutes

Normal waiting time would be 42 minutes. Missing it by 3 minutes means the waiting time is 39minutes

## Difficulty Rating

4/10

#### Question 25

25cm²

If perimeter is 20cm, each side is 5cm

Therefore, the area is 5 x 5 = 25cm²

## Difficulty Rating

3/10

#### Question 26

2.9 inches

1. Establish what each mark is worth. The answer to this is 0.1 inches
2. Then start at 0.7 inches and the pencil ends at 3.6 inches
3. So this is 2.9 inches

## Difficulty Rating

4/10

#### Question 27

3

Range represents difference between highest and lowest. So this would be 9-6 = 3

## Difficulty Rating

2/10

#### Question 28

a) 15

7 whole pictures + 1 1/2 picture = 15

b) 50

1. A 15
2. B 9
3. C 10
4. D 7
5. E 9

c) F = 5

(1/3 of B = 3) + (20% of C = 2) = 5

## Difficulty Rating

4/10

#### Question 29

Mum – Coffee; Dad – Choc; Granny – Strawberry

Lets summarise below:

1. Mum likes Choc or Coffee
3. Granny likes Choc, Coffee & Strawberry
4. So Mum gets coffee, Dad gets choc and Granny gets Strawberry

4/10

## Difficulty Rating

6/10

#### Question 31

See below:

a) The probability of A is 10/20 = 1/2 = Even . (10 numbers are even. 10 are odd)

b) The probability of B is 4/20 = 1/5  . (4 numbers comply. 5,10,15,20)

c) The probability of C is 0/20 = 0. (There is no 21 on the spinner)

d) The probability of D is 2/20 = 1/10  . (2 numbers comply. 1 and 8)

## Difficulty Rating

6/10

#### Question 32

A pentagon can have 5 obtuse angles but not always has to be the case

## Difficulty Rating

6/10

#### Question 33

a) 2.4kg

Key is to understand what each marker is worth. The answer to this is 0.2kg. Therefore, 2.4kg

b) 2400g

“k” means 1000. Therefore, 1000g = 1kg

## Difficulty Rating

4/10

#### Question 34

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

## Difficulty Rating

6/10

#### Question 35

a) See below

b) (2,7)

c) See above for drawing

## Difficulty Rating

7/10

#### Question 36

a) See below

Its 2 4×7 triangles that have been transposed from the original question

b) See below

## Difficulty Rating

6/10

#### Question 37

a) 48cm

See labelling below

b) 108cm²

Area = WxL. 6×18

c) 18

In 18cm across, she can fit 6 (18/3). Given its 6cm tall, she can fit 3 high. So in total 3 rows each with 6 in each row  18

## Difficulty Rating

6/10

#### Question 38

64cm³

The volume of Cube A is 8cm³. So this is 2x2x2. For 64cm, think of cube numbers. So 2x2x2 = 8. 3x3x3 = 27. 4x4x4=64

So double the side of Cube A is 4 so its 64cm³

## Difficulty Rating

4/10

#### Question 39

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

## Difficulty Rating

6/10

#### Question 40

a) See below

b) From the table:

1. Cone, Vanilla, Flakes
2. Tub, Mint, Sprinkles

## Difficulty Rating

4/10

#### Question 41

a) See below

b) See below

c) 40

10 x 4

d) 5,050

This can be done with the following calculation

(100×101)/ 2 = 101 x 50 = 5,050

## Difficulty Rating

7/10

#### Question 42

T=36,S=54,R=108

1. Use a ratio style approach
2. R=2xS. S=1.5xT
3. So T=1; S=1.5; R=3
4. Total parts = 5.5
5. 198/5.5 = 36 (Use bus stop but you can do 55 into 1980 so that you do not have to deal with the decimal
6. So T=(1*36); S=(1.5*36=54); R=((3×36)=108)

## Difficulty Rating

8/10

#### Question 43

a) i See below

a) ii See below

b) 13,20,24

1. 4=2² with difference as 2

c) 0,1,4 & 9

1. 0²=0; 1²=1; 2²=4; 3²=9

d) See below

## Difficulty Rating

10/10

#### Question 44

250m

1. Use Algebra to solve this. Tom=100t; J=60t. Where t=time
2. 100t=100+60t
3. 40t=100
4. t=2.5
5. 2.5×100=250m

10/10

a) 5

b) 10

c) 1 & 8