Question 1
Which unit is most suitable for measuring the length of a tennis court? Circle your answer. kilometres metres centimetres millimetres
[1 mark]
Which unit is most suitable for measuring the length of a tennis court? Circle your answer. kilometres metres centimetres millimetres
[1 mark]
Circle the multiple of both 8 and 12
4 32 72 108
[1 mark]
Circle your answer. 1.05 1.1 1.5 3.2
[1 mark]
Circle the correct statement.
[1 mark]
Give your answer to part (a) to 1 decimal place.
[1 mark]
A swimming pool has three changing rooms, Male, Female and Family. The pictogram shows the number of people using each changing room during one hour.
8 people used the Male changing room.
How many people used the Female changing room?
[1 mark]
The manager has bought lockers for the changing rooms. Why should she not use these results to decide where to put them?
[1 mark]
Here is a list of numbers. 21 17 23 21 29 32 21 25 36
Work out the median.
[2 marks]
Here is a map of a town. Scale: 1 cm represents 200 m
Which place is exactly North West of the Station? Circle your answer. Cinema Town Hall Library Park Monument
[1 mark]
Circle the three-figure bearing of the Monument from the Park.
090° 180° 270° 360°
[1 mark]
What is the distance, in metres, from the Cinema to the Station?
[3 marks]
Why might the shortest walking distance from the Cinema to the Station be greater than your answer to part (c)?
[1 mark]
Complete the bank statement.
| Date | Description | Credit (£) | Debit (£) | Balance (£) |
| 13/12/2016 | Starting balance | 212.48 | ||
| 14/12/2016 | Council tax | 128.39 | ||
| 15/12/2016 | Salary | 856.21 |
[2 marks]
The average age of teachers at a school is 36 years. Mr Smith’s age is of the average. How old is Mr Smith?
[2 marks]
Lee sells ice creams. The table shows the midday temperature and his sales for five days.
| Day 1 | Day 2 | Day 3 | Day 4 | Day 5 | |
| Temperature (°C) | 30 | 26 | 17 | 22 | 20 |
| Sales (£) | 180 | 150 | 80 | 130 | 120 |
He draws this scatter graph and line of best fit.
Write down two mistakes he has made.
[2 marks]
Lee wants to work out the range of the five temperatures. His calculation is 30 – 20 = 10 Is his method correct? Tick a box.
Give a reason to support your answer.
[1 mark]
The table shows Lee’s costs.
Work out his total profit for the five days.
[5 marks]
Work out the size of angle x.
[2 marks]
In this question, use 1 kilogram = 2.2 pounds 1 stone = 14 pounds Change 70 kilograms into stones.
[3 marks]
Here are some numbers. 10 13 15 20 27 39
10 15 20 is an arithmetic progression. Use three of the numbers to make a different arithmetic progression. Describe the rule.
[2 marks]
The counters in a bag are red or blue. One fifth of the counters are red. Work out the ratio red counters: blue counters Circle your answer. 1: 4 1: 5 4: 5 1: 6
[1 mark]
Circle the fraction equal to 0.1%
[1 mark]
Ellen works for a company that sells cars. Her monthly pay is
• a salary of £1470
• 28% of the total profit the company makes from her sales
• a £250 bonus if she sells at least 15 cars.
The table shows information about the cars she sold last year.
| Total cost to the company | Total income for the company | Number of months when she sold at least 15 cars |
| £464 500 | £538 000 | 3 |
Was Ellen’s total pay for the year more than £40 000? You must show your working.
[6 marks]
Ben and Katy throw darts at a target. Ben’s ratio of hits to misses is 5: 1 Katy’s ratio of hits to misses is 3: 1 Ben says, “5 is bigger than 3, so I must have more hits than Katy.” Give an example to show that this might not be true.
[2 marks]
A code has 4 digits. Each digit is a number from 0 to 9 Digits may be repeated. The code starts 5 4 1
Joe chooses a number at random for the last digit. Write down the probability that he chooses the correct number.
[1 mark]
Amy knows the last digit is odd but not 7 She chooses a different odd number at random. What is the probability that she chooses the correct number?
[1 mark]
Eva thinks she can save water by having a shower instead of a bath. Eva’s shower uses 10.8 litres per minute lasts for 8 minutes. Eva assumes that the water in her bath is in the shape of this cuboid.
Using Eva’s assumption, work out how many litres of water she saves by having a shower instead of a bath.
[5 marks]
A shows the water level before Eva gets into the bath. B shows the cuboid in the empty bath.
What does this tell you about the amount of water saved?
[1 mark]
Work out the value of x as a decimal.
[3 marks]
Lily goes on a car journey. For the first 30 minutes her average speed is 40 miles per hour. She then stops for 15 minutes. She then completes the journey at an average speed of 60 miles per hour. The total journey time is 1 hour.
Draw a distance-time graph for her journey.
[3 marks]
Write down the average speed for the total journey.
[1 mark]
The pie chart shows information about voters in an election.
3360 more women voted than men. Work out the total number of voters.
[3 marks]
The table shows information about some CDs.
Work out the probability it is jazz.
[4 marks]
Complete the table of values for y = x2 x − 2
| x | 0 | 1 | 2 | 3 | ||
| y | 4 |
[2 marks]
Draw the graph of y = x2 − x − 2 for values of x from 2 to 3
[2 marks]
Write these numbers in descending order.
[2 marks]
Rearrange y = + 9 to make x the subject.
[2 marks]
Use trigonometry to work out the length x.
[2 marks]
The paper as printed
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