Answer on paper first, then reveal the mark scheme one mark at a time.
The bar chart shows the favourite fruit of some students.
(a) How many students chose banana? [1]
(b) How many students are there altogether? [1]
(c) What fraction of the students chose apple? Give your answer in its simplest form. [2]
60 people were asked how they travel to work. The table shows the results.
| Transport | Frequency | Angle |
|---|---|---|
| Car | 21 | |
| Bus | 15 | |
| Walk | 18 | |
| Cycle | 6 |
Leo wants to draw a pie chart for this information.
Work out the angle he should use for each sector. [3]
The pie chart shows how 72 students travel to school.
(a) How many students walk to school? [2]
(b) How many more students travel by bus than cycle? [2]
The stem-and-leaf diagram shows the times, in minutes, that 15 people spent in a shop.
| 1 | 2 5 8 |
| 2 | 1 3 3 7 9 |
| 3 | 0 4 5 8 |
| 4 | 1 6 |
| 5 | 2 |
Key: 2 | 3 represents 23 minutes
(a) Write down the mode. [1]
(b) Find the median. [1]
(c) Work out the range. [1]
(d) What fraction of the people spent more than 35 minutes in the shop? [2]
Here are the marks scored by 12 students in a quiz.
34 27 45 31 52 38 27 49 41 36 55 29
(a) Draw an ordered stem-and-leaf diagram for this information. [3]
(b) Work out the median mark. [1]
The frequency polygon shows information about the masses, in grams, of 40 apples. The masses were grouped into the classes $100 \lt m \le 120$, $120 \lt m \le 140$, $140 \lt m \le 160$, $160 \lt m \le 180$ and $180 \lt m \le 200$.
(a) Write down the modal class. [1]
(b) How many apples have a mass greater than 160 g? [1]
(c) Work out an estimate for the mean mass of the apples. [4]
The table shows information about the times, $t$ seconds, that 23 students took to solve a puzzle.
| Time ($t$ seconds) | Frequency |
|---|---|
| $0 \lt t \le 10$ | 4 |
| $10 \lt t \le 20$ | 9 |
| $20 \lt t \le 30$ | 7 |
| $30 \lt t \le 40$ | 3 |
Kieran draws the frequency polygon shown for this information.
(a) Describe the mistake Kieran has made. [1]
(b) Write down the coordinates of the points Kieran should have plotted. [2]
The pie charts show the favourite sport of the students at two schools.
School A has 300 students. School B has 120 students.
Sasha says, “More students chose football at School B than at School A, because the football sector is bigger.”
Is Sasha correct? You must show your working. [3]
The pictogram shows the number of books borrowed from a library on each of five days last week. The row for Thursday has not been completed.
(a) How many books were borrowed on Tuesday? [1]
(b) How many books were borrowed on Wednesday? [1]
(c) 18 books were borrowed on Thursday. Complete the pictogram. [1]
(d) Work out the total number of books borrowed from Monday to Friday. [2]
The vertical line chart shows the number of goals a hockey team scored in each of its 20 matches last season.
(a) Write down the mode. [1]
(b) Work out the range. [1]
(c) Work out the mean number of goals scored per match. [3]
A company manager drew this bar chart to show the company’s profit in three years.
(a) Give two different reasons why the bar chart could be misleading. [2]
(b) The manager says,
“Our profit in 2025 was three times our profit in 2023.”
Use the bar chart to show that the manager is wrong. [2]
Two groups of 15 students each completed the same puzzle. The back-to-back stem-and-leaf diagram shows the times, in seconds, that they took.
| Group A | Group B | |
|---|---|---|
| 1 | 8 | |
| 8 5 2 | 2 | 1 4 6 9 |
| 8 7 6 4 3 1 | 3 | 3 8 |
| 7 5 4 2 | 4 | 1 3 6 8 |
| 3 1 | 5 | 2 5 7 |
| 6 | 0 |
Key: 3 | 4 | 1 means 43 seconds for Group A and 41 seconds for Group B
(a) For Group A, find (i) the median time and (ii) the interquartile range. [3]
(b) For Group B, the median is 41 seconds and the interquartile range is 26 seconds.
Compare the times taken by the two groups. [2]
(c) Explain why a stem-and-leaf diagram is more useful than a grouped frequency table for finding the median. [1]
The members of a club each voted for one place to visit on a trip. The pie chart shows information about the votes.
(a) Work out how many members voted for the Theme park. [5]
(b) Later, 20 more people join the club and all of them vote for the Theme park. A new pie chart is drawn for all the votes.
Work out the angle of the Theme park sector in the new pie chart. [2]
A gardener grew 50 seedlings with fertiliser P and 50 seedlings with fertiliser Q. The heights, $h$ cm, of the seedlings were grouped into the classes $0 \lt h \le 4$, $4 \lt h \le 8$, $8 \lt h \le 12$, $12 \lt h \le 16$ and $16 \lt h \le 20$.
The frequency polygons show the results.
(a) How many seedlings grown with fertiliser P had a height greater than 12 cm? [1]
(b) Find the class interval that contains the median height for fertiliser Q. [1]
(c) Ravi says, “The tallest seedling grown with fertiliser Q was 18 cm tall.”
Explain why Ravi could be wrong. [1]
(d) Which fertiliser produced taller seedlings? Give a reason for your answer. [2]
The time-series graph shows the number of umbrellas a shop sold in each quarter (Q1 to Q4) of two years.
(a) Write down the number of umbrellas sold in Q3 of Year 2. [1]
(b) Describe the pattern in umbrella sales within each year. [1]
(c) Describe the overall trend in sales from Year 1 to Year 2. [1]
(d) Work out the percentage increase in the total number of umbrellas sold from Year 1 to Year 2. [2]
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