7392
6359
22,374
128
Use the following method and remember “of” means multiply in maths
^{3}/_{4} * ^{1}/_{96}
This gives
^{3}/_{384}
Simplified….
^{128}/_{1}
For sequences, always look at the change number on number
a) 2040
Move the decimal 2 places to the right when multiplying
b) 1050
 You can do the inverse operation here and multiply 1000 x 1.05 to get to the answer
 If not sure, then do the calculation in 2 parts:
 1000 x 1 = 1000
 1000 x 0.05 = 50 (Remember 0.1 = 10% = 100. So 0.05 = 5% = 50)
 Then add both numbers together
13,750
14,050 – 300
>
112 is the Left Hand side. 102 is the Right Hand Side. Missing sign is greater than
+3ºC
11 + 14
3
Work Backwards. 56 / 8 = 7.
Then 7 minus 4 = 3
5/8ths is shaded
8.40 a.m
 If not sure, go to the first full hour which is 8.00 a.m
 This then leaves 40 minutes to add on so its 8.40 a.m
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
a i) 80
ii) 23
Work backwards. 120/4 = 30. 30 minus 7 = 23
b) x2 6 OR 3 x2
a) 13,485
b) 49,853
c) 984
d) 89
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
a) 1,592
1554 + 38 = 1592
b) 777
Half of the original answer (37 * 42)/2
c) 3.7
37/10
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
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
a) 4
b) See below
a) 6
500/78 = 6 (remainder 32p). £4.68 spent therefore
b) 4
32/8 = 4
See below
Start with the lines closest to the mirror. This is the best approach
39 minutes
Normal waiting time would be 42 minutes. Missing it by 3 minutes means the waiting time is 39minutes
25cm²
If perimeter is 20cm, each side is 5cm
Therefore, the area is 5 x 5 = 25cm²
2.9 inches

 Establish what each mark is worth. The answer to this is 0.1 inches
 Then start at 0.7 inches and the pencil ends at 3.6 inches
 So this is 2.9 inches
3
Range represents difference between highest and lowest. So this would be 96 = 3
a) 15
7 whole pictures + 1 1/2 picture = 15
b) 50
 A 15
 B 9
 C 10
 D 7
 E 9
c) F = 5
(1/3 of B = 3) + (20% of C = 2) = 5
Mum – Coffee; Dad – Choc; Granny – Strawberry
Lets summarise below:
 Mum likes Choc or Coffee
 Dad likes Choc
 Granny likes Choc, Coffee & Strawberry
 So Mum gets coffee, Dad gets choc and Granny gets Strawberry
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)
A pentagon can have 5 obtuse angles but not always has to be the case
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
a) 300ml
8 * 150ml = 1,200ml
 Always worth converting everything to the denomination in which the answer is required.
 So 1,5 litres = 1,500ml.
 1,500ml – 1,200ml = 300ml
b) 6 full jugs
 2 Litres * 5 bottles = 10,000ml.
 10,000 / 1,500 = 6 full jugs = 9,000ml.
 There will be 1,000ml remaining/ left over
 Read the question carefully as it asks for FULL jugs
a) See below
b) (2,7)
c) See above for drawing
a) See below
Its 2 4×7 triangles that have been transposed from the original question
b) See below
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
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
a) 8g
 If each tea leaves weighs 0.008g, then multiply this by 1000 to get weight of 1000 tea leaves
 Move the decimal place 3 places (number of zeros after the 1) to the right. 1000x.008g
 This would give 8
b) 125,000
 The number of leaves = 125 x 1000
c) 100
 A tea bag = (250 x 0.008) + 0.5g = 2.5g
 250/2.5g = 100
a) See below
b) From the table:
 Cone, Vanilla, Flakes
 Tub, Mint, Sprinkles
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
T=36,S=54,R=108
 Use a ratio style approach
 R=2xS. S=1.5xT
 So T=1; S=1.5; R=3
 Total parts = 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
 So T=(1*36); S=(1.5*36=54); R=((3×36)=108)
a) i See below
a) ii See below
b) 13,20,24
 4=2² with difference as 2
c) 0,1,4 & 9
 0²=0; 1²=1; 2²=4; 3²=9
d) See below
250m
 Use Algebra to solve this. Tom=100t; J=60t. Where t=time
 100t=100+60t
 40t=100
 t=2.5
 2.5×100=250m
a) 5
b) 10
c) 1 & 8
Detail to be added