Solving 'graphical' problems - OCR test questions - OCR - GCSE Maths Revision

1

The distance time graph shows a cyclist's journey. How much faster was the cyclist's speed between 20 and 30 minutes compared to 0 to 10 minutes?

How is speed calculated?

Speed = distance ÷ time

Speed = distance × time

Speed = time ÷ distance

2

At what speed did the cyclist travel between 0 and 10 minutes?

1.5 km/h

9 km/h

15 km/h

3

How much faster did the cyclist go between 20 and 30 minutes compared to 0 to 10 minutes?

15 km/h

6 km/h

24 km/h

4

A family of three go away on holiday. Each family member is allowed to take one bag weighing 35 kg. Any extra weight is then charged at 90p per kilo. The family members each have one bag weighing 88 pounds. How much does the family have to pay in extra charges?

Which conversion will be most helpful to answer this question?

10 pounds = 4.54 kilograms

10 kilograms = 22 pounds

20 pounds = 9.07 kilograms

5

How much in pounds is 35 kilograms?

88 pounds

66 pounds

77 pounds

6

How much in kilos does each family member's bag weigh?

35 kg

38 kg

40 kg

7

How much does the family of three have to pay in extra charges?

£13.50

No charge

£27.50

8

This distance time graph shows Sarah's journey in a car. Liz is driving the same journey and covers 38.25 km in 45 minutes.

Graph of time taken vs distance for Sarah's car

At what speed is Liz travelling?

9.56 km/h

47.81 km/h

51 km/h

9

At what speed is Sarah travelling?

48 km/h

51 km/h

56 km/h

10

Who is travelling at the greater speed?

Sarah

Liz

They are both travelling at the same speed.