Priya kept a pictogram of how many books she and her friends read in June. The key was: one full book symbol = 4 books, and a half symbol = 2 books. The pictogram showed: Priya 3 symbols, Kwame 2 symbols and a half, Freya 4 symbols, Declan 1 symbol and a half.
How many books did Kwame read? A) 8 B) 9 C) 10 D) 12
Figure (to be drawn): Pictogram of books read in June (data given in the question)
(Total for Question 1 is 1 mark)
2
Using the same pictogram of books read in June (Priya 3 symbols, Kwame 2 symbols and a half, Freya 4 symbols, Declan 1 symbol and a half; key: 1 symbol = 4 books, half symbol = 2 books), answer the following.
Figure (to be drawn): Pictogram of books read in June (data given in the question)
(a)How many books did Declan read?(1)
(b)How many more books did Freya read than Priya?(2)
(Total for Question 2 is 3 marks)
3
A survey asked 24 pupils in Year 6 to name their favourite ice cream flavour. The results were recorded with tally marks, grouped in 5s: Vanilla had 2 full groups of 5 plus 2 more (12 tally marks), Chocolate had 1 full group of 5 plus 2 more (7 tally marks), and Strawberry had 1 full group of 5 (5 tally marks).
How many pupils chose Chocolate? A) 5 B) 6 C) 7 D) 8
Figure (to be drawn): Tally chart of favourite ice cream flavours (data given in the question)
(Total for Question 3 is 1 mark)
4
Using the same tally chart of favourite ice cream flavours (Vanilla 12, Chocolate 7, Strawberry 5), answer the following.
Figure (to be drawn): Tally chart of favourite ice cream flavours (data given in the question)
(a)How many more pupils chose Vanilla than Strawberry?(1)
(b)How many pupils took part in the survey altogether?(1)
(Total for Question 4 is 2 marks)
5
The bar chart shows the number of laps completed by five pupils on a sponsored bike ride: Amara 6, Yusuf 9, Bethan 4, Idris 7, Zara 8.
How many laps did Bethan complete? A) 3 B) 4 C) 5 D) 6
Figure (to be drawn): Bar chart of laps completed on the sponsored bike ride (data given in the question)
(Total for Question 5 is 1 mark)
6
Using the same bar chart of laps completed on the sponsored bike ride (Amara 6, Yusuf 9, Bethan 4, Idris 7, Zara 8), answer the following.
Figure (to be drawn): Bar chart of laps completed on the sponsored bike ride (data given in the question)
(a)How many laps did Zara complete?(1)
(b)Work out the total number of laps completed by all five pupils.(2)
(Total for Question 6 is 3 marks)
7
The frequency table shows the number of merit stickers earned in one week by 22 pupils in Miss Doherty's class. Merit stickers (x): 0, 1, 2, 3, 4. Number of pupils (f): 3, 6, 8, 3, 2.
Figure (to be drawn): Frequency table of merit stickers earned (data given in the question)
(a)What is the modal number of merit stickers earned?(1)
(b)How many pupils earned 3 or more merit stickers?(2)
(Total for Question 7 is 3 marks)
8
The two-way table shows whether 50 pupils have a packed lunch or a school dinner. Year 5: Packed lunch 10, School dinner 15, Total 25. Year 6: Packed lunch ?, School dinner 13, Total 25. Column totals: Packed lunch 22, School dinner 28, Grand total 50.
Figure (to be drawn): Two-way table of packed lunch versus school dinner by year group (data given in the question)
(a)How many Year 5 pupils have a school dinner?(1)
(b)How many Year 6 pupils have a packed lunch?(2)
(Total for Question 8 is 3 marks)
9
On 11/04/2026, the number of cars parked in the Elm Road car park was recorded every 2 hours: 8am 15, 10am 34, 12pm 52, 2pm 58, 4pm 45, 6pm 27.
How many cars were parked at 12pm? A) 34 B) 45 C) 52 D) 58
Figure (to be drawn): Line graph of cars parked in the Elm Road car park (data given in the question)
(Total for Question 9 is 1 mark)
10
Using the same line graph of cars parked in the Elm Road car park on 11/04/2026 (8am 15, 10am 34, 12pm 52, 2pm 58, 4pm 45, 6pm 27), answer the following.
Figure (to be drawn): Line graph of cars parked in the Elm Road car park (data given in the question)
(a)Work out the difference between the number of cars parked at 8am and at 2pm.(1)
(b)Between which two consecutive readings did the number of cars change the most, and by how many did it change?(2)
(Total for Question 10 is 3 marks)
11
A quiz team scored the following number of points in 7 rounds: 8, 5, 8, 6, 8, 3, 7.
What is the mode of these scores?
(Total for Question 11 is 1 mark)
12
Six buses on the number 14 route were recorded as being this many minutes late: 3, 0, 7, 2, 9, 4.
What is the range of these times?
(Total for Question 12 is 1 mark)
13
Seven pupils took part in a cricket ball throwing competition. Here are the distances they threw, in metres: 24, 31, 18, 27, 35, 22, 29.
Find the median distance thrown.
(Total for Question 13 is 2 marks)
14
In a science investigation, the heights of 8 sunflower seedlings were measured in centimetres: 12, 18, 9, 15, 21, 11, 17, 14.
Find the median height.
(Total for Question 14 is 2 marks)
15
Five volunteers each recorded the amount of money raised from raffle ticket sales at a school fete: £14, £9, £12, £20, £15.
Work out the mean amount raised per volunteer.
(Total for Question 15 is 2 marks)
16
The mean number of runs scored by 6 batters in a junior cricket match was 18. Five of the batters scored 12, 25, 9, 31 and 14 runs.
Work out how many runs the sixth batter scored.
(Total for Question 16 is 3 marks)
17
A fair six-sided dice is rolled once.
What is the probability that the score is a factor of 6? A) 1/6 B) 1/3 C) 1/2 D) 2/3
(Total for Question 17 is 1 mark)
18
A spinner is divided into 8 equal sections numbered 1 to 8.
What is the probability that the spinner lands on a square number? Give your answer as a fraction in its simplest form.
(Total for Question 18 is 1 mark)
19
A jar contains 20 sweets, and every single one is orange-flavoured. Zara picks one sweet from the jar without looking.
Use one of these words to describe the probability that she picks a sweet that is NOT orange-flavoured: impossible, unlikely, evens, likely, certain.
(Total for Question 19 is 1 mark)
20
A pie chart shows the favourite breaktime activity of 48 pupils. The sectors are: Football 120 degrees, Reading 90 degrees, Trampolining 60 degrees, Board games 90 degrees.
How many pupils chose trampolining as their favourite breaktime activity?
Figure (to be drawn): Pie chart of favourite breaktime activity (angles given in the question)
(Total for Question 20 is 2 marks)
21
In a survey of 54 pupils' favourite crisp flavour, 9 pupils chose cheese and onion.
Calculate the angle needed to represent 'cheese and onion' on a pie chart.
(Total for Question 21 is 2 marks)
22
A pie chart shows how pupils at Millfield Primary spend their pocket money. The sector for 'sweets' has an angle of 40 degrees, representing 20 pupils.
Work out the total number of pupils surveyed.
Figure (to be drawn): Pie chart of how pupils spend their pocket money (one angle and frequency given in the question)
(Total for Question 22 is 3 marks)
23
The table shows the number of runs scored in each of 20 overs bowled in a junior cricket match. Runs scored per over (x): 0, 1, 2, 3, 4, 5. Number of overs (f): 1, 4, 6, 5, 3, 1.
Calculate the mean number of runs scored per over.
Figure (to be drawn): Frequency table of runs scored per over (data given in the question)
(Total for Question 23 is 3 marks)
24
A Venn diagram shows 32 Year 6 pupils who are in the swimming club (S) and the gymnastics club (G). 14 pupils are only in the swimming club, 9 pupils are only in the gymnastics club, and 5 pupils are in both clubs. The rest are in neither club.
Figure (to be drawn): Venn diagram of swimming club and gymnastics club membership (data given in the question)
(a)How many pupils are in neither the swimming club nor the gymnastics club?(2)
(b)One pupil is chosen at random from the group of 32. What is the probability that the pupil is in the swimming club? Give your answer as a fraction in its simplest form.(2)
(Total for Question 24 is 4 marks)
25
A fair coin is flipped and, at the same time, a spinner with three equal sections labelled 1, 2 and 3 is spun.
List all the possible outcomes, then work out the probability of getting a Head and an odd number.
(Total for Question 25 is 3 marks)
26
A craft box contains 5 purple beads and 7 orange beads. Nadia picks one bead at random and does not put it back. She then picks a second bead at random.
Work out the probability that both beads are purple. Give your answer as a fraction in its simplest form.
(Total for Question 26 is 3 marks)
27
A list of 6 whole numbers has a mean of 7, a mode of 5, and a range of 9.
Find a set of six numbers that satisfies all three conditions.
(Total for Question 27 is 3 marks)
Mark scheme · EP.M79 Data and Probability: Practice Set 4
Question 1
B1 C (10) cao
Answer: C) 10
Question 2
(a) B1 6 cao
(a) Answer: 6
(b) M1 Freya = 16 and Priya = 12 identified oe
(b) A1 4 cao
(b) Answer: 4 books
Question 3
B1 C (7) cao
Answer: C) 7
Question 4
(a) B1 7 cao
(a) Answer: 7
(b) B1 24 cao
(b) Answer: 24
Question 5
B1 B (4) cao
Answer: B) 4
Question 6
(a) B1 8 cao
(a) Answer: 8
(b) M1 6 + 9 + 4 + 7 + 8 (or a valid attempt to add all five values)
(b) A1 34 cao
(b) Answer: 34 laps
Question 7
(a) B1 2 cao
(a) Answer: 2
(b) M1 3 + 2 (or the frequencies for 3 and 4 stickers correctly identified)
(b) A1 5 cao
(b) Answer: 5
Question 8
(a) B1 15 cao
(a) Answer: 15
(b) M1 25 - 13 oe (or 22 - 10 using the column total)
(b) A1 12 cao
(b) Answer: 12
Question 9
B1 C (52) cao
Answer: C) 52
Question 10
(a) B1 43 cao
(a) Answer: 43
(b) M1 correctly identifies 8am to 10am as having the largest change (oe considers all five changes: +19, +18, +6, -13, -18)
(b) A1 19 (a rise) cao
(b) Answer: Between 8am and 10am, a rise of 19 cars