What is G14: Units of measure?

Choose standard units that match the quantity: length uses mm, cm, m or km; area uses square units; volume uses cubic units; capacity uses ml or litres; mass uses g or kg; and time uses seconds, minutes or hours.

How many marks are G14 questions worth?

G14 practice drills on this page are worth 1–5 marks each; marks in a real exam vary by question.

Which past exam papers has G14 appeared in?

We have not yet indexed a verified past-paper appearance for G14 — check the Edexcel GCSE Maths 1MA1 past-papers hub directly.

G14

Use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.)

Draft — not yet indexed

Units of measure

Worked answers and methods for G14 on Edexcel GCSE Maths 1MA1.

Explanation

Choose standard units that match the quantity: length uses mm, cm, m or km; area uses square units; volume uses cubic units; capacity uses ml or litres; mass uses g or kg; and time uses seconds, minutes or hours.
Convert all measurements to compatible units before calculating.
A linear conversion factor must be squared for area and cubed for volume: because $1\text{ m}=100\text{ cm}$ , $1\text{ m}^2=10\,000\text{ cm}^2$ and $1\text{ m}^3=1\,000\,000\text{ cm}^3$ .
Examiners expect a numerical value with the correct unit and sensible rounding for the context, especially money and time.

Linear conversion factors are squared for area and cubed for volume.

Worked example

Convert $2.4\text{ m}^2$ to $\text{cm}^2$ .

1. $1\text{ m}=100\text{ cm}$ , so the area factor is $100^2=10\,000$ .
2.Multiply the area: $2.4\times10\,000=24\,000$ .
3.Attach square centimetres because an area was converted.

Answer: $24\,000\text{ cm}^2$ .

Common mistakes

Don't multiply a square-metre value by $100$ instead of $100^2$ .
Don't carry a length unit such as cm into a final answer that is an area or volume.

Exam tip

Write the unit conversion before the arithmetic; this makes the required power and final unit visible for method marks.

Worked practice

Tier 1 · Easy

Convert

3.75\text{ kg}

to grams.

(1)

(Total for Question 1 is 1 mark)

Mark scheme

Mark scheme for question 1
Question	Answer	Mark	Mark scheme
1	$3750\text{ g}$	1	There are $1000\text{ g}$ in $1\text{ kg}$ , so $3.75\times1000=3750$ . Therefore the mass is $3750\text{ g}$ .

Tier 2 · Standard

A rectangular water tank is

0.8\text{ m}

long,

0.5\text{ m}

wide and

0.6\text{ m}

high. It is

65\%

full. Work out the volume of water in litres.

(3)

(Total for Question 2 is 3 marks)

Mark scheme

Mark scheme for question 2
Question	Answer	Mark	Mark scheme
2	$156$ litres	3	The full volume is $0.8\times0.5\times0.6=0.24\text{ m}^3$ . The water occupies $0.65\times0.24=0.156\text{ m}^3$ . Since $1\text{ m}^3=1000$ litres, the volume is $0.156\times1000=156$ litres.

Tier 3 · Hard

A floor measures

4.8\text{ m}

3.6\text{ m}

. Square tiles have side length

30\text{ cm}

and are sold in boxes of

12

. A decorator buys at least

8\%

more tiles than the exact number needed. Each box costs £

14.75

. Work out the total cost.

(5)

(Total for Question 3 is 5 marks)

Mark scheme

Mark scheme for question 3
Question	Answer	Mark	Mark scheme
3	£ $265.50$	5	Each tile has side $0.30\text{ m}$ , so its area is $0.30^2=0.09\text{ m}^2$ . The floor area is $4.8\times3.6=17.28\text{ m}^2$ , requiring exactly $17.28/0.09=192$ tiles. Including $8\%$ gives $192\times1.08=207.36$ , so at least $208$ tiles are needed. Since $208/12=17.\overline{3}$ , the decorator must buy $18$ boxes. The cost is $18\times14.75=265.50$ , so the total is £ $265.50$ .

Tier 1 · Easy

Change

3

hours

18

minutes into minutes.

(1)

(Total for Question 4 is 1 mark)

Mark scheme

Mark scheme for question 4
Question	Answer	Mark	Mark scheme
4	$198$ minutes	1	$3$ hours is $3\times60=180$ minutes. Therefore the total time is $180+18=198$ minutes.

Tier 2 · Standard

A roll contains

7.5\text{ m}

of ribbon. Aisha cuts

18

pieces, each

35\text{ cm}

long. Work out the length of ribbon left. Give your answer in centimetres.

(2)

(Total for Question 5 is 2 marks)

Mark scheme

Mark scheme for question 5
Question	Answer	Mark	Mark scheme
5	$120\text{ cm}$	2	$7.5\text{ m}=750\text{ cm}$ . The pieces use $18\times35=630\text{ cm}$ , so $750-630=120\text{ cm}$ of ribbon is left.

Tier 3 · Hard

A bakery needs

2.6\text{ kg}

of almonds. The almonds are sold in

375\text{ g}

bags costing £

2.15

each. Work out the total cost of the bags needed.

(3)

(Total for Question 6 is 3 marks)

Mark scheme

Mark scheme for question 6
Question	Answer	Mark	Mark scheme
6	£ $15.05$	3	$2.6\text{ kg}=2600\text{ g}$ . Since $2600\div375=6.93\ldots$ , the bakery must buy $7$ whole bags. The total cost is $7\times2.15=15.05$ , so it costs £ $15.05$ .

Tier 2 · Standard

A water butt contains

0.42\text{ m}^3

of water. Then

135

litres are used and

8

buckets, each containing

12.5

litres, are poured into the water butt. Work out the volume of water now in the water butt. Give your answer in litres.

(3)

(Total for Question 7 is 3 marks)

Mark scheme

Mark scheme for question 7
Question	Answer	Mark	Mark scheme
7	$385$ litres	3	$0.42\text{ m}^3=420$ litres. The buckets add $8\times12.5=100$ litres. Therefore the volume is $420-135+100=385$ litres.

Tier 3 · Hard

A square floor mat has area

0.81\text{ m}^2

. Work out the perimeter of the mat in millimetres.

(3)

(Total for Question 8 is 3 marks)

Mark scheme

Mark scheme for question 8
Question	Answer	Mark	Mark scheme
8	$3600\text{ mm}$	3	The side length is $\sqrt{0.81}=0.9\text{ m}$ . The perimeter is $4\times0.9=3.6\text{ m}$ . Since $1\text{ m}=1000\text{ mm}$ , the perimeter is $3600\text{ mm}$ .

Tier 3 · Hard

A rectangular metal sheet measures

1.8\text{ m}

75\text{ cm}

. A rectangular opening measuring

320\text{ mm}

450\text{ mm}

is cut from the sheet. Work out the remaining area of the sheet in square centimetres.

(3)

(Total for Question 9 is 3 marks)

Mark scheme

Mark scheme for question 9
Question	Answer	Mark	Mark scheme
9	$12\,060\text{ cm}^2$	3	$1.8\text{ m}=180\text{ cm}$ , so the sheet has area $180\times75=13\,500\text{ cm}^2$ . The opening measures $32\text{ cm}$ by $45\text{ cm}$ , so its area is $32\times45=1440\text{ cm}^2$ . The remaining area is $13\,500-1440=12\,060\text{ cm}^2$ .

Q10

Tier 3 · Hard

A flight leaves at

22{:}48

. The flight lasts

7

hours

35

minutes. At the destination, clocks are

2

hours ahead of the departure clocks. Work out the local arrival time. State whether the arrival is on the same day or the next day.

(3)

(Total for Question 10 is 3 marks)

Mark scheme

Mark scheme for question 10
Question	Answer	Mark	Mark scheme
10	$08{:}23$ on the next day	3	On the departure clock, $22{:}48+7$ hours $35$ minutes is $06{:}23$ on the next day. The destination clock is $2$ hours ahead, so the local arrival time is $08{:}23$ on the next day.

Verified exam appearances

We have not yet indexed a verified real-paper appearance for G14. Browse the Edexcel GCSE Maths 1MA1 past papers directly.

Other points in G Geometry and measures

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