Complete these metric facts about mass and capacity.
(a)1 kilogram (kg) = ______ grams (g)(1)
(b)1 litre (l) = ______ millilitres (ml)(1)
(c)1 tonne = ______ kilograms (kg)(1)
(Total for Question 2 is 3 marks)
3
Priti says that 3000 g is the same mass as one of these amounts. Circle the correct amount.
A) 0.3 kg
B) 3 kg
C) 30 kg
D) 300 kg
(Total for Question 3 is 1 mark)
4
Convert each length to millimetres or metres as shown.
(a)Convert 8 cm to mm(1)
(b)Convert 5 m to cm(1)
(c)Convert 360 cm to m(1)
(Total for Question 4 is 3 marks)
5
Convert each distance or mass as shown.
(a)Convert 4000 m to km(1)
(b)Convert 2 kg to g(1)
(Total for Question 5 is 2 marks)
6
Convert 5000 ml to litres.
(Total for Question 6 is 1 mark)
7
Convert each amount. You must show your method.
(a)Convert 1.5 kg to grams(1)
(b)Convert 2.25 litres to millilitres(1)
(c)Convert 3200 g to kilograms(1)
(Total for Question 7 is 3 marks)
8
A pencil is 15 cm long. Ben places 4 identical pencils end to end in a straight line. Work out the total length of the 4 pencils in metres.
(Total for Question 8 is 2 marks)
9
Amara has a 2 litre bottle of milk. She uses 750 ml of the milk to make a batch of pancakes. Work out how much milk, in millilitres, is left in the bottle.
(Total for Question 9 is 2 marks)
10
Here are three lengths. 2500 mm 3 m 280 cm Put the three lengths in order of size, starting with the smallest. You must show your working.
(Total for Question 10 is 2 marks)
11
A road sign shows that the distance to Leeds is 1200 m. A satnav shows that the distance to Leeds is 1.3 km. Which distance is longer? You must show your working and give a reason.
(Total for Question 11 is 2 marks)
12
A bag of flour has a mass of 1.2 kg. A recipe for one cake needs 350 g of flour. Work out the greatest number of whole cakes that can be made from the bag of flour. You must show your working.
(Total for Question 12 is 3 marks)
13
The diagram shows the dial of a kitchen scale, marked from 0 to 1000 g. The pointer is resting exactly on the 350 g mark.
(a)Write down the mass shown on the scale, in grams.(1)
(b)Convert this mass to kilograms.(1)
(Total for Question 13 is 2 marks)
14
The diagram shows a rectangle. The longer side is 1.2 m. The shorter side is 45 cm.
Diagram NOT accurately drawn
(a)Convert the length of the longer side to centimetres.(1)
(b)Work out the perimeter of the rectangle. Give your answer in metres.(3)
(Total for Question 14 is 4 marks)
15
A shop sells paint in two ways. Tin A: one tin containing 2.5 litres of paint. Pack B: a pack of 3 tins, each containing 800 ml of paint. Jake wants to buy whichever option gives the greater total amount of paint. Work out which option gives the greater amount of paint, and find the difference in millilitres. You must show your working.
(Total for Question 15 is 4 marks)
Mark scheme · 1.4 Metric Conversions
Question 1
(a) B1 10 cao
(a) Answer: 10
(b) B1 100 cao
(b) Answer: 100
(c) B1 1000 cao
(c) Answer: 1000
Question 2
(a) B1 1000 cao
(a) Answer: 1000
(b) B1 1000 cao
(b) Answer: 1000
(c) B1 1000 cao
(c) Answer: 1000
Question 3
B1 B (3 kg) cao
Answer: B) 3 kg
Question 4
(a) B1 80 mm cao
(a) Answer: 80 mm
(b) B1 500 cm cao
(b) Answer: 500 cm
(c) B1 3.6 m cao
(c) Answer: 3.6 m
Question 5
(a) B1 4 km cao
(a) Answer: 4 km
(b) B1 2000 g cao
(b) Answer: 2000 g
Question 6
B1 5 litres cao
Answer: 5 litres
Question 7
(a) M1 1.5 x 1000 = 1500 g cao
(a) Answer: 1500 g
(b) M1 2.25 x 1000 = 2250 ml cao
(b) Answer: 2250 ml
(c) M1 3200 / 1000 = 3.2 kg cao
(c) Answer: 3.2 kg
Question 8
M1 15 x 4 (= 60) or equivalent method to find total length in cm
A1 0.6 m cao (oe 60 cm converted correctly)
Answer: 0.6 m
Question 9
M1 2 litres converted to 2000 ml (or equivalent method)
A1 1250 ml cao
Answer: 1250 ml
Question 10
M1 all three lengths correctly converted to a common unit, e.g. 250 cm, 280 cm, 300 cm
A1 2500 mm, 280 cm, 3 m (smallest to largest) cao
Answer: 2500 mm, 280 cm, 3 m
Question 11
M1 1.3 km converted to 1300 m (or 1200 m converted to 1.2 km)
A1 correct conclusion that 1.3 km (1300 m) is longer, with 1300 > 1200 stated or implied
Answer: 1.3 km is longer
Question 12
M1 1.2 kg converted to 1200 g
M1 1200 / 350 (= 3.42... or 1050 g used for 3 cakes with 150 g remaining)
A1 3 cakes cao (correctly rounded down, not 3.43)
Answer: 3 cakes
Question 13
(a) B1 350 g cao
(a) Answer: 350 g
(b) B1 0.35 kg cao (ft from part a)
(b) Answer: 0.35 kg
Question 14
(a) B1 120 cm cao
(a) Answer: 120 cm
(b) M1 120 + 45 (= 165) or equivalent, using consistent units
(b) M1 2 x 165 (= 330) to find the perimeter in cm, ft from part a
(b) A1 3.3 m cao
(b) Answer: 3.3 m
Question 15
M1 2.5 litres converted to 2500 ml
M1 3 x 800 (= 2400 ml) for Pack B total
A1 correct comparison, 2500 ml > 2400 ml
B1 correct conclusion: Tin A gives more paint, by 100 ml, oe