Sec 2 G1 Maths Rate and speed worksheet with answers

A free Sec 2 G1 Maths worksheet on rate and speed: 8 questions, 30 marks, short questions first and then structured ones, in the school exam style. The answers and full worked solutions are on the last page.

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Sec 2 G1 Maths worksheet: Rate and speed

Total: 30 marksSuggested time: 50 minutes

Name: ______________________________Class: ____________ Date: ____________

Answer all questions. Show all your working. Give non-exact answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless the question says otherwise.

Section A

A printer prints 600 pages in 25 minutes. Find its printing rate, in pages per minute.

Answer[2]

A train travels 180 km at a constant speed of 80 km/h. Find the time taken. Give your answer in hours and minutes.

Answer[2]

A train travels at a constant speed of 90 km/h for 2 hours 30 minutes. Find the distance it travels, in km.

Answerkm[2]

A car travels from A to B and then from B to C, as shown in the diagram. The journey from A to B takes 2 hours and the journey from B to C takes 0.5 hours. Find the average speed for the whole journey, in km/h.

Answerkm/h[3]

A car travels from A to B at an average speed of 75 km/h and then from B to C at an average speed of 60 km/h. The distances are shown in the diagram. Find the average speed, in km/h, for the whole journey.

Answerkm/h[3]

(a)A car travels at a constant speed of 60 km/h for 30 minutes. Find the distance it travels, in km.

Answer (a)km[2]

(b)A train travels at a constant speed of 50 km/h for 36 minutes. Find the distance it travels, in km.

Answer (b)km[2]

Section B

(a)(i)A car travels at a constant speed of 72 km/h for 36 minutes. Find the distance it travels, in km.

Answer (a)(i)km[2]

(a)(ii)Express

10

m/s in km/h.

Answer (a)(ii)km/h[1]

(b)(i)A hawker sells 120 plates of chicken rice in 5 hours. Find the rate, in plates per hour.

Answer (b)(i)[2]

(b)(ii)Water flows into a tank at 8 litres per minute. Find the time, in minutes, taken to fill the tank with 40 litres of water.

Answer (b)(ii)[2]

(a)A car travels from A to B in 35 minutes and then from B to C in 10 minutes. The distances are shown in the diagram. Find the average speed for the whole journey, in km/h.

Answer (a)km/h[3]

(b)(i)A tap fills a tank with 120 litres of water in 15 minutes. Find the rate of flow, in litres per minute.

Answer (b)(i)[2]

(b)(ii)Water flows into a tank at 12 litres per minute. Find the time, in minutes, taken to fill the tank with 300 litres of water.

Answer (b)(ii)[2]

END OF PAPER

Answers and worked solutions

Question 1

Answer: The rate is

24

pages per minute.[2]

\text{Rate} = \dfrac{600}{25}

= 24

The rate is

24

pages per minute.

Question 2

Answer: Time taken

= 2

15

min[2]

\text{Time} = \dfrac{180}{80}

= 2.25

0.25 \text{ h} = 0.25 \times 60 \text{ min}

\phantom{0.25 \text{ h}} = 15 \text{ min}

Time taken

= 2

15

min

Question 3

Answer: The distance is

225

km.[2]

2 \text{ h} 30 \text{ min} = 2 + \dfrac{30}{60} \text{ h}

\phantom{2 \text{ h} 30 \text{ min}} = 2.5 \text{ h}

\text{Distance} = 90 \times 2.5

= 225

The distance is

225

km.

Question 4

Answer:

\phantom{\text{Average speed}} = 58 \text{ km/h}

[3]

\text{Total distance} = 120 + 25

\phantom{\text{Total distance}} = 145 \text{ km}

\text{Total time} = 2 + 0.5

\phantom{\text{Total time}} = 2.5 \text{ h}

\text{Average speed} = \dfrac{145}{2.5}

\phantom{\text{Average speed}} = 58 \text{ km/h}

Question 5

Answer:

\phantom{\text{Average speed}} = 70 \text{ km/h}

[3]

\dfrac{150}{75} = 2 \text{ h}

\dfrac{60}{60} = 1 \text{ h}

\text{Total distance} = 150 + 60

\phantom{\text{Total distance}} = 210 \text{ km}

\text{Total time} = 2 + 1

\phantom{\text{Total time}} = 3 \text{ h}

\text{Average speed} = \dfrac{210}{3}

\phantom{\text{Average speed}} = 70 \text{ km/h}

Question 6

(a)Answer: The distance is

30

km.[2]

30 \text{ min} = \dfrac{30}{60} \text{ h}

\phantom{30 \text{ min}} = 0.5 \text{ h}

\text{Distance} = 60 \times 0.5

= 30

The distance is

30

km.

(b)Answer: The distance is

30

km.[2]

36 \text{ min} = \dfrac{36}{60} \text{ h}

\phantom{36 \text{ min}} = 0.6 \text{ h}

\text{Distance} = 50 \times 0.6

= 30

The distance is

30

km.

Question 7

(a)(i)Answer: The distance is

43.2

km.[2]

36 \text{ min} = \dfrac{36}{60} \text{ h}

\phantom{36 \text{ min}} = 0.6 \text{ h}

\text{Distance} = 72 \times 0.6

= 43.2

The distance is

43.2

km.

(a)(ii)Answer:

\phantom{10 \text{ m/s}} = 36 \text{ km/h}

[1]

10 \text{ m/s} = \dfrac{10 \times 3600}{1000} \text{ km/h}

\phantom{10 \text{ m/s}} = 36 \text{ km/h}

(b)(i)Answer: The rate is

24

plates per hour.[2]

\text{Rate} = \dfrac{120}{5}

= 24

The rate is

24

plates per hour.

(b)(ii)Answer:

5

minutes[2]

\dfrac{40}{8}

= 5

5

minutes

Question 8

(a)Answer:

\phantom{\text{Average speed}} = 36 \text{ km/h}

[3]

\text{Total distance} = 15 + 12

\phantom{\text{Total distance}} = 27 \text{ km}

\text{Total time} = \dfrac{35 + 10}{60}

\phantom{\text{Total time}} = 0.75 \text{ h}

\text{Average speed} = \dfrac{27}{0.75}

\phantom{\text{Average speed}} = 36 \text{ km/h}

(b)(i)Answer: The rate is

8

litres per minute.[2]

\text{Rate} = \dfrac{120}{15}

= 8

The rate is

8

litres per minute.

(b)(ii)Answer:

25

minutes[2]

\dfrac{300}{12}

= 25

25

minutes

Sec 2 G1 Maths Rate and speed worksheet with answers

In the print window, choose Save as PDF to download it.

Or practise it online with step-by-step help when you get one wrong.

Section B

(a)(i)A car travels at a constant speed of 72 km/h for 36 minutes. Find the distance it travels, in km.

Answer (a)(i)km[2]

(a)(ii)Express

10

m/s in km/h.

Answer (a)(ii)km/h[1]

(b)(i)A hawker sells 120 plates of chicken rice in 5 hours. Find the rate, in plates per hour.

Answer (b)(i)[2]

(b)(ii)Water flows into a tank at 8 litres per minute. Find the time, in minutes, taken to fill the tank with 40 litres of water.

Answer (b)(ii)[2]

Answers and worked solutions

Question 1

Answer: The rate is

24

pages per minute.[2]

\text{Rate} = \dfrac{600}{25}

= 24

The rate is

24

pages per minute.

Question 2

Answer: Time taken

= 2

15

min[2]

\text{Time} = \dfrac{180}{80}

= 2.25

0.25 \text{ h} = 0.25 \times 60 \text{ min}

\phantom{0.25 \text{ h}} = 15 \text{ min}

Time taken

= 2

15

min

Question 3

Answer: The distance is

225

km.[2]

2 \text{ h} 30 \text{ min} = 2 + \dfrac{30}{60} \text{ h}

\phantom{2 \text{ h} 30 \text{ min}} = 2.5 \text{ h}

\text{Distance} = 90 \times 2.5

= 225

The distance is

225

km.

Question 4

Answer:

\phantom{\text{Average speed}} = 58 \text{ km/h}

[3]

\text{Total distance} = 120 + 25

\phantom{\text{Total distance}} = 145 \text{ km}

\text{Total time} = 2 + 0.5

\phantom{\text{Total time}} = 2.5 \text{ h}

\text{Average speed} = \dfrac{145}{2.5}

\phantom{\text{Average speed}} = 58 \text{ km/h}

Question 5

Answer:

\phantom{\text{Average speed}} = 70 \text{ km/h}

[3]

\dfrac{150}{75} = 2 \text{ h}

\dfrac{60}{60} = 1 \text{ h}

\text{Total distance} = 150 + 60

\phantom{\text{Total distance}} = 210 \text{ km}

\text{Total time} = 2 + 1

\phantom{\text{Total time}} = 3 \text{ h}

\text{Average speed} = \dfrac{210}{3}

\phantom{\text{Average speed}} = 70 \text{ km/h}

Question 6

(a)Answer: The distance is

30

km.[2]

30 \text{ min} = \dfrac{30}{60} \text{ h}

\phantom{30 \text{ min}} = 0.5 \text{ h}

\text{Distance} = 60 \times 0.5

= 30

The distance is

30

km.

(b)Answer: The distance is

30

km.[2]

36 \text{ min} = \dfrac{36}{60} \text{ h}

\phantom{36 \text{ min}} = 0.6 \text{ h}

\text{Distance} = 50 \times 0.6

= 30

The distance is

30

km.

Question 7

(a)(i)Answer: The distance is

43.2

km.[2]

36 \text{ min} = \dfrac{36}{60} \text{ h}

\phantom{36 \text{ min}} = 0.6 \text{ h}

\text{Distance} = 72 \times 0.6

= 43.2

The distance is

43.2

km.

(a)(ii)Answer:

\phantom{10 \text{ m/s}} = 36 \text{ km/h}

[1]

10 \text{ m/s} = \dfrac{10 \times 3600}{1000} \text{ km/h}

\phantom{10 \text{ m/s}} = 36 \text{ km/h}

(b)(i)Answer: The rate is

24

plates per hour.[2]

\text{Rate} = \dfrac{120}{5}

= 24

The rate is

24

plates per hour.

(b)(ii)Answer:

5

minutes[2]

\dfrac{40}{8}

= 5

5

minutes

Question 8

(a)Answer:

\phantom{\text{Average speed}} = 36 \text{ km/h}

[3]

\text{Total distance} = 15 + 12

\phantom{\text{Total distance}} = 27 \text{ km}

\text{Total time} = \dfrac{35 + 10}{60}

\phantom{\text{Total time}} = 0.75 \text{ h}

\text{Average speed} = \dfrac{27}{0.75}

\phantom{\text{Average speed}} = 36 \text{ km/h}

(b)(i)Answer: The rate is

8

litres per minute.[2]

\text{Rate} = \dfrac{120}{15}

= 8

The rate is

8

litres per minute.

(b)(ii)Answer:

25

minutes[2]

\dfrac{300}{12}

= 25

25

minutes