13 original questions, 39 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
The table shows the number of members of a gym at the end of each year.
Year
Members
2021
2000
2022
2200
2023
2420
Show that the number of members increased by the same percentage each year.
Assuming this trend continues, predict the number of members at the end of 2024.
Give one reason why your prediction may not be reliable.
3 marks
Show answer
a) 2200 / 2000 = 1.1 and 2420 / 2200 = 1.1, so a 10% increase each yearb) 2662c) The trend may not continue - membership could change for other reasons
8
Pupils in two classes timed how long they took to finish a puzzle. The times for Class 9A are shown in the back-to-back stem and leaf diagram.
Class 9A
Stem
Class 9B
8 5 2
1
7 3 3 1
2
6 4 0
3
1
4
Key: 5 | 1 | 9 means 15 seconds for 9A and 19 seconds for 9B
Here are the times, in seconds, for the 11 pupils in Class 9B.
19 25 31 28 22 33 26 38 29 24 35
Complete the diagram by adding the times for Class 9B.
Work out the median and the range for each class.
Compare the times of the two classes.
4 marks
Show answer
a) 9B leaves: 1 | 9, 2 | 2 4 5 6 8 9, 3 | 1 3 5 8b) 9A median 23 s, range 29 s; 9B median 28 s, range 19 sc) 9A were quicker on average (lower median); 9B were more consistent (smaller range)
9
The table shows how long 40 Year 9 pupils spent on homework one evening.
Time (t minutes)
Frequency
0 < t ≤ 10
4
10 < t ≤ 20
7
20 < t ≤ 30
12
30 < t ≤ 40
17
Write down the modal class.
Write down the class that contains the median.
Work out an estimate for the mean time.
4 marks
Show answer
a) 30 < t ≤ 40b) 20 < t ≤ 30c) 25.5 minutes
10
The scatter graph shows the number of hours each of 9 students spent revising and their scores in an exam marked out of 80.
Write down the type of correlation shown.
Draw a line of best fit on the scatter graph.
Use your line of best fit to estimate the exam score of a student who revised for 5.5 hours.
Amir revised for 20 hours. Explain why the line of best fit should not be used to estimate his score.
4 marks
Show answer
a) positive correlationb) a straight line following the trend of the pointsc) approximately 53 (accept 49-57)d) 20 hours is outside the range of the data (0 to 9 hours), so the trend may not continue
Extension questions: beyond the core Year 9 objectives, for pupils who want a stretch.
11
The table shows the money taken by a school tuck shop in each term over three school years.
Term
Autumn 1
Spring 1
Summer 1
Autumn 2
Spring 2
Summer 2
Autumn 3
Spring 3
Summer 3
Takings (£)
150
120
90
162
126
99
171
135
105
Work out the 3-point moving averages.
Describe the trend in the takings.
3 marks
Show answer
a) 120, 124, 126, 129, 132, 135, 137b) The takings are increasing
12
The table shows the ages, a years, of the 60 members of a running club.
Age (a years)
Frequency
10 < a ≤ 20
9
20 < a ≤ 30
15
30 < a ≤ 40
18
40 < a ≤ 50
12
50 < a ≤ 60
6
Complete a cumulative frequency table for this data.
Write down the class interval that contains the median age.
3 marks
Show answer
a) 9, 24, 42, 54, 60b) 30 < a <= 40
13
The box plot shows the journey times, in minutes, of 15 deliveries made by a courier.
Write down the median journey time.
Work out the interquartile range of the journey times.
Work out the range of the journey times.
3 marks
Show answer
a) 19 minutesb) 12 minutesc) 26 minutes
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Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.