C
9 * 120 = 1080g
a) Louise
b) 6kg
4135
c) Gillian & Fatima
d) 3
Jeannie, Sarah & Fatima
e) 11 months
f) 224kg
37+41+35+38+34+39
g) See below..
i) 5m
ii) 19m
11m + 8m
iii) 8m
19m less where the bucket is which is 3m. So difference is 16m. Half way is 8m that needs to be unwound
a) 12mins
60mins/5 = 12mins
b) 54mins
10:3009:36 = 54mins
15.6kg
60.4kg – 44.8kg
a) 5cm
Length depends on whether you are looking at a print out or on screen
b) 50°
c
5 hour walk at 3km/h = 15km
5 hour walk at 4 km/h = 20km
So distance could only be 19km
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
a) Cardiff
b) 8C
If temperature had fallen by 5C in London by midnight, temperature would now be 35 = 8
c) 3C
2 – 1
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
200miles
 Calais to Paris is 320km. So 320 * 5/8 = number of miles
 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
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
a) 1/15
 Convert to the same denominator
 So this would mean Tom 3/5 = 9/15 and Jerry 1/3 = 5/15
 In total, 14/15ths has been eaten leaving 1/15
b) 250g
 If Tom had 3/5 = 150g, then 1/5 = 50g
 Therefore 5/5 = 250g
1.75kg
 Convert to grams firstly to make it easier to calculate
 2500750 = 1750
 Then convert back remembering 1000g = 1kg
 1.75kg
8m per second
 4000m at 10m p/s = 400 seconds to travel the distance = 6 minutes 40 seconds
 Tom therefore takes 500 seconds to travel the same distance
 So his speed > Speed = Distance/Time = 4000/500 = 8m per second
a) i) 14km
26km – 12km
ii) 9000m
Must be 23km – 14km = 9km = 9000m
b) 2 hours 30 minutes
Josham to Moreton is 35km
At a rate of 14km = 35/14 = 2.5. So this is 2.5 hours
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
2 cucumbers
 5 tomatoes = 2 pounds weight = £3.00 cost
 So green peppers they bought 3 = 40p x 3 = £1.20 cost
 If they got 20p change and spent £4.20, then 60p was spent on cucumbers
 60p/ 30p = 2 cucumbers
8C°
 12C + 4C as it increases for TuesFri
3.9cm
5.7cm – 1.8cm
Remember each small dash is 0.1cm
25,100 millimetres
 25.1metres = 25.1 x 100 = 2,510 centimetres
 2,510 x 10 = 25,100 millimetres
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
32 minutes
 Convert time to minutes
 So 75 minutes – 43 minutes
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
5.75kg
 Total weight is best done by converting into common metric. So lets say kg
5.25kg
8m
 Area is LxW
 So working backwards, 72=9xW
 Rearrange. W=8
10C
Difference between hottest and coldest = +4 – – 6 = 10C
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
a) 127cm
Convert to cm. 21487
b) 25 bags
290/12 = 24.2
Round up as you need to cover the “0.2” requirement. So 25 bags
a) 7:10
140:200 = 14:20 = 7:10
b) 30cm
If model is 9m, = 900cm. Therefore 900/30 = 30cm
c) 1:50
120cm:6000cm = 1:50
D
250cm = 2.5m
a) 120km
b) Car B
c) Car B
d) 40km
100km – 60km
e) Car B overtook Car A
f) Car B between 3.15pm and 3.45pm. Speed of 70/0.5 = 140km/h
g) Car B as it got to its destination in a quicker time
a) 12 seconds
 After 2 seconds, Gary is at 20metres which is when Andy starts running
 So Andy has 20 metres to make up
 It will take him 10 seconds to close this gap as he makes up 2 metres per second
 Add the initial 2 second start that Gary had over Andy
b) 120 metres
 Distance = Speed x Time
 Therefore = 12m/s x 10 seconds = 120 metres
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
C
 Logical Thinking. 17cm
25
 5 litres = 5000ml (1 litre = 1000ml)
 5000/200 = 25
i) The warmest day at midday was Friday
ii) The coldest day at midday was Thursday
iii) Sunday temperature was +4C (1 + 5)
275g
 Always convert to the same metric. That will make this style of question easier
 So if the total is 1.25kg, its 1250g
 1250g less the large can of beans of 425g = 825g
 Therefore, 3 small cans = 825g
 This would be 275g per can
3 metres per minute
 Use Distance/Speed. So this would be 400m/800m per minute = 0.5 seconds
 If the tortoise needs to travel 1.5meters, then it will need to run at 1.5/0.5 seconds = 3
275
 Note that each marker is 25;
 Therefore, you go up in 25s. 200,225,250,275
See below
7,400g
Remember the metric conversions. Also anything with a “kilo” in it represents 1000. So 1000g = 1kg
a) 28.7 (per formula)
b) Overweight
c) 28.4 (per formula)
d) 132.3kg (per formula)
e) 8.6kg ( 61.6 – 53)
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) 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
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
+3ºC
11 + 14
a) 8ºC
 Note we are in negatives
 Note what each marker is worth which is 2C
b) +6ºC
 Tuesday is at 2ºC
 Change v Monday is +6ºC
a) 3.7kg
 Important with these questions to recognise what each marker is worth
 In this case, we start at 3kg and finish at 4kg
 There are 10 markers in between so each marker is 100g….OR 0.1kg
 Baby therefore weights 3.7kg
b) 325g
 Same process as above. Work out each marker
 Each marker is 25g
 So the mouse weighs 325g
c) 142cm on the ruler
 Again recognise what each marker is worth. In this case its 2cm per marker
a) b) c) See below
a) 11 balloons
 Always best to convert to the same denomination.
 If she has a 4metres, then this is 400cm. Each string 35cm, then the total is 400/35 = 11.4
 Total number of balloons = 11
b) 15cm
 11 balloons would take 11 x 35cm of string
 This is 385cm
 Therefore, 15cm is left over
a) 15mins
 30 mins / 2 = 15 mins if you have 2 hoses
b) 15mins
 To fill 10cm, it takes 1 hose 15mins. So to fill 30cm, I need 45mins for 1 hose.
 With 3 hoses therefore, the time is 15mins (45/3)
a) 66C
Use a ruler if needed and remember that each marker is worth 2C on the y axis
b) 4.5minutes
Draw a horizontal line from 45C and you will see it intersecting the line chart at 4.5mins
c) 5 mins 48 seconds
Tea starts at 80C and to get to 40C takes 5mins 48sec (each marker on the x axis is 12seconds)
d) 46C
Use a ruler if required to draw a vertical line from the time in the question
a) 23C
 Assess what each marker represents. This is 2C
 Therefore, answer is 23C
b) 12C (Minus 12C)
c) 35C
d) i) 68F
20/5 = 4 * 9 = 36 + 32 = 68
d) ii) 15C
 Work backwards
 59F – 32 = 27 / 9 =3 * 5 = 15
a) 168cm
^{140}/_{1} * ^{6}/_{5}
b) 90cm
^{105}/_{1} * ^{6}/_{7}
1,265
 Madrid to Paris = [(Madrid minus Lisbon ) + (Munich minus Paris)]
 2,730 – 638 – 827 = 1,265
2.38m
 Usually easier to convert to centimetres first and then back into metres.
 So 2.7m = 270cm. Take away 32cm = 238cm
 100cm = 1m. So move dp 2 places to the right in 238 which gives 2.38
a) 2.6cm
 Diameter being from one side to the other of the coin. So diameter will be the same all the way round the coin
 On the left hand side, the marker is at 1.7cm. On right hand side it is at 4.3cm. Therefore, difference is 2.6cm
b) 21:24
Remember 24 hour clock is 13:00 when it is 1.00pm on a 12 hour clock
c) 52kg
Each marker is 1kg on the kg scale
a) 750g
With these types of questions, ALWAYS think of HCF. So for 12 cookies, you need ingredients per above. For 30 you need…..
Well you take the HCF of 12 & 30 which is 6.
Step 1: Calculate what you need for 6 cookies first. 12 cookies requires 300g so 6 requires 150g plain chocolate.
Step 2: 30 is a multiple of 6. So take what you had for 6 cookies and * by 5. To give you chocolate for 30 cookies. So 150g * 5 = 750g
b) £2.70
26p x 30 = £7.80. Less £5.10 cost = £2.70 profit
290cm
Remember the question is asking for the difference in cm. So :
3.2m = 320cm. Less 30cm = 290cm
Usually easier to convert everything to cm as the question is asking for this denomination
8.3cm
3.8cm to 12.1cm = 8.3cm
a) 10C
46 = 10
b) +9C
4 to + 5 is a change of +9
850g
Total Mass = 2.5kg.
Try and convert to the same metric to work through the calculation. So 2,500g
2 Bags of Carrots = 250g x 2
1 Cabbage = 750g
Total of Carrots + Cabbage = 1,250g . Plus 4oog for shopping bag = 1,650g in total
Therefore, Potatoes = 2,500g – 1,650g = 850g
a) tonnes
b) litres
2 Hours 25 mins
Work out how many times 2.5 is greater than 1kg which is 2.5 times. So 2.5 x 50 = 125mins + 20 minutes at the end . So this is 145mins. Hours = 2. Mins = 25mins
a) 70g
If 18 oatcakes requires 140g, then 9 would require half of this
b) 90 oatcakes
Need to think of factors. This is the trick to all of these styles of questions. So 80 ml makes 18 oatcakes. Therefore, if she only has 400 ml, then its how many “lots of” 80 do you get into 400. This would be 5 lots. So 5 lots of 18 oatcakes=90
c) See below:
Again, think of factors. Starting point is 18 and this question asks for 27. Therefore HCF of 18 & 27 is 9. If 18 requires X Ingredients, what does 9 require? This is your starting point. 9 requires half of what 18 requires. Therefore, 27 requires 3 times what 9 requires
a) 14 degrees
12 – – 2 = 14
b) 7 degrees (minus 7)
2 – 5
3.6kg
Try doing the question in the same metric. So in this case, probably grams is easier to work with
Basket = 500g
Kitten = (600*4) = 2400g
Cat therefore = 6,500g (6.5kg) – 2400 – 500
Total = 3,600g.
Then convert back to KG
a) 7.5 or 7.6cm
Count up to the nearest whole cm and note this. Then from cm to cm up to 9cm. Finally add on the small amount at the end
b) 22:12
It is 24 hour so remember this.
c) 10:25pm
If clock is 5 minutes slow, real time is 22.17.
If Sarahs watch is 8 minutes fast, then the time on her watch will be 8 minutes ahead of the real time. So 22:25
Convert t0 12 hour clock as question requests
4.5m
Freda Frog = 25 x 30 = 750
Teddy Toad = 40 x 30 = 1200
Remember to convert to metres.
a) 6C
Remember its negative so important to read numbers carefully. Also one key point should be to interpret what each dash equates to
b) 11C
a) Approx 8cm. (Range 6 – 8cm is acceptable as it depends on the size of the online image or print out)
b) 35
8s into 280 . Use bus stop
c) £32.50
Firstly calculate number of weeks for 2 Years. This is 52 * 2 = 104
Next , number of “8 week batches” in 104 weeks. = 13
So cost is £2.50 x 13
d) 3,500
4 squeaks per minute. Therefore, 240 per hour
For 14 hours, its 240 * 14 = 3,360. Nearest 500 = 3,500
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 42.214.6 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
4 lines of symmetry
Answer for reflection to be added
270ml
a) 250/2 = 125g (amount for 6 waffles) x 3 = 375g
Think about HCF for 12 waffles v 18 waffles. The HCF for 12 & 18 is 6. Therefore, the best approach is to take 250/2 (to give 6 waffles). Then x that result by 3
b) 2eggs = 12 waffles. Therefore 1egg=6 waffles. 5 will therefore = 30 waffles
Again think about HCF of 2 & 5 which is 1. Therefore, the best way is to work out how many waffles you get for 1 egg and proceed from there
c) 75g
1oz = 25g. So 13oz = 13 * 25 = 325g
325 – 250 = 75g more
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
£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