Metric Conversions: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

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1.4DB Metric Conversions: Fluency and Exam Drill (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 45 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Convert 6300 millimetres to metres.

(Total for Question 1 is 1 mark)

Convert 3.2 metres to centimetres.

(Total for Question 2 is 1 mark)

Convert 480 milligrams to grams.

(Total for Question 3 is 1 mark)

Convert 2900 kilograms to tonnes.

(Total for Question 4 is 1 mark)

Convert 74 millimetres to centimetres.

(Total for Question 5 is 1 mark)

Convert 12.6 centimetres to millimetres.

(Total for Question 6 is 1 mark)

A single vitamin tablet contains 0.09 grams of vitamin C. Write down this mass in milligrams.

(Total for Question 7 is 1 mark)

A bottle of squash concentrate holds 275 millilitres of liquid. Write this volume in litres.

(Total for Question 8 is 1 mark)

A plank of wood is 2.4 metres long. Priya cuts it into 3 equal pieces. Work out the length of each piece in centimetres.

(Total for Question 9 is 2 marks)

A carton contains 1.5 litres of milk. Given that 1 cm³ = 1 ml, convert this volume to cm³.

(Total for Question 10 is 2 marks)

Convert 45 000 cm³ to m³.

(Total for Question 11 is 2 marks)

Freya converts 3.2 kilograms to grams. She writes: 3.2 kg = 32 g. Explain the mistake Freya has made, and write down the correct answer.

(Total for Question 12 is 2 marks)

Show that 2.5 tonnes is equivalent to 2 500 000 grams.

(Total for Question 13 is 2 marks)

The table shows the length of four garden hoses.

Hose	Length
A	350 cm
B	2.9 m
C	190 cm
D	3.05 m

Work out the letter of the longest hose, and give its length in metres.

(Total for Question 14 is 2 marks)

A fish tank is a cuboid with internal dimensions 60 cm long, 30 cm wide and 40 cm deep. Bilal fills the tank completely with water. Work out the volume of water in the tank, giving your answer in litres.

(Total for Question 15 is 3 marks)

A cyclist rides at an average speed of 5 metres per second. Work out this speed in kilometres per hour.

(Total for Question 16 is 3 marks)

A school hall needs new square floor tiles for a stage area measuring 3.6 m by 2.7 m. Each tile has a side length of 30 cm. Work out how many tiles are needed to cover the stage area exactly.

(Total for Question 17 is 3 marks)

The density of a sample of packaging foam is 45 kilograms per cubic metre (45 kg/m³). Work out this density in grams per cubic centimetre (g/cm³).

(Total for Question 18 is 3 marks)

Mark scheme · 1.4DB Metric Conversions: Fluency and Exam Drill (Part 2)

Question 1

B1 6.3 m cao
Answer: 6.3 m

Question 2

B1 320 cm cao
Answer: 320 cm

Question 3

B1 0.48 g cao
Answer: 0.48 g

Question 4

B1 2.9 tonnes cao
Answer: 2.9 tonnes

Question 5

B1 7.4 cm cao
Answer: 7.4 cm

Question 6

B1 126 mm cao
Answer: 126 mm

Question 7

B1 90 mg cao
Answer: 90 mg

Question 8

B1 0.275 litres oe cao
Answer: 0.275 litres

Question 9

M1 convert 2.4 m to 240 cm, or divide first, oe
A1 80 cm cao
Answer: 80 cm

Question 10

M1 convert litres to millilitres: 1.5 x 1000 = 1500
A1 1500 cm³ cao
Answer: 1500 cm³

Question 11

M1 recognise 1 m³ = 1 000 000 cm³
A1 0.045 m³ cao
Answer: 0.045 m³

Question 12

B1 identifies that Freya multiplied by 10 instead of by 1000 (or divided by 100), oe
B1 3200 g cao
Answer: Freya multiplied by 10 instead of 1000 (oe); the correct answer is 3200 g.

Question 13

M1 convert tonnes to kg: 2.5 x 1000 = 2500 kg
A1 cso convert kg to g: 2500 x 1000 = 2 500 000 g, matching the given value
Answer: 2 500 000 g (shown)

Question 14

M1 convert all lengths to a common unit, e.g. A = 3.5 m, C = 1.9 m, oe
A1 A, 3.5 m cao
Answer: Hose A, 3.5 m

Question 15

M1 volume = 60 x 30 x 40
M1 72 000 (cm³) oe, allow answer left in cm³ at this stage
A1 72 litres cao, dividing their cm³ volume by 1000
Answer: 72 litres

Question 16

M1 multiply by 3600 to find metres per hour: 5 x 3600
M1 18 000 (m per hour) oe
A1 18 km/h cao, dividing their metres-per-hour value by 1000
Answer: 18 km/h (18 kilometres per hour)

Question 17

M1 convert tile side to metres: 30 cm = 0.3 m, oe
M1 area of one tile = 0.3 x 0.3 = 0.09 m², or area of stage = 3.6 x 2.7 = 9.72 m², oe
A1 108 tiles cao
Answer: 108 tiles

Question 18

M1 convert kg to g: 45 x 1000 = 45 000 (g)
M1 recognise 1 m³ = 1 000 000 cm³
A1 0.045 g/cm³ cao, dividing 45 000 by 1 000 000
Answer: 0.045 g/cm³

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Metric Conversions: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

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1.4DB Metric Conversions: Fluency and Exam Drill (Part 2)

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

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Question 2

Question 3

Question 4

Question 5

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Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18