Statistics

A pictogram shows how many books each class read. One book symbol stands for 5 books. Class 4 has 6 symbols. How many books did Class 4 read?

• A6
• B11
• C30✓
• D56

Answer: Each symbol stands for 5 books, so 6 symbols means 6 × 5 = 30 books.

A bar chart shows goals scored. The scale on the side goes up in 2s. Team A's bar reaches the third mark above 0. How many goals did Team A score?

• A6✓
• B3
• C8
• D4

Answer: Each mark on the scale is worth 2 goals, so the third mark is 3 × 2 = 6 goals.

What is the mean of these numbers: 10, 20, 30, 40?

• A20
• B25✓
• C30
• D40

Answer: Mean = sum ÷ count = (10 + 20 + 30 + 40) ÷ 4 = 100 ÷ 4 = 25.

A shop sells 5 red apples, 3 green apples, and 2 yellow apples. How many apples did it sell in total?

• A8
• B10✓
• C12
• D15

Answer: Total = 5 + 3 + 2 = 10 apples.

In a survey, 4 pupils like football, 6 pupils like tennis, and 5 pupils like basketball. How many pupils were surveyed?

• A10
• B12
• C15✓
• D20

Answer: Total pupils = 4 + 6 + 5 = 15.

A table shows tickets sold: Monday 145, Tuesday 168, Wednesday 132. How many more tickets were sold on Tuesday than on Wednesday?

• A13
• B23
• C36✓
• D300

Answer: Find the difference between the two days: 168 − 132 = 36 tickets.

The mean of four numbers is 12. What is the sum of the four numbers?

• A24
• B36
• C48✓
• D60

Answer: If the mean is 12 and there are 4 numbers, the sum = 12 × 4 = 48.

A pie chart shows how 60 pupils travel to school. Half walk, one third cycle and the rest come by car. How many pupils come by car?

• A10✓
• B15
• C20
• D30

Answer: Half of 60 is 30 who walk and a third of 60 is 20 who cycle. That leaves 60 − 30 − 20 = 10 pupils by car.

A pie chart shows that 1/4 of pupils like red and 3/4 like blue. If there are 20 pupils, how many like red?

• A5✓
• B10
• C15
• D20

Answer: 1/4 of 20 = 20 ÷ 4 = 5 pupils like red.

In a bar chart, one bar shows 30 and another shows 50. What is the total?

• A20
• B40
• C80✓
• D100

Answer: 30 + 50 = 80.

A class of 24 pupils was asked their favourite colour. 8 said red, 6 said blue, and the rest said green. How many said green?

• A6
• B8
• C10✓
• D14

Answer: Red + Blue = 8 + 6 = 14. Green = 24 - 14 = 10.

A table shows cakes sold: Friday 24, Saturday 38, Sunday 19. How many cakes were sold altogether?

• A62
• B71
• C91
• D81✓

Answer: Add the three days: 24 + 38 = 62, and 62 + 19 = 81 cakes.

A table shows the number of books read by 5 pupils: 4, 6, 8, 5, 7. What is the mean number of books read?

• A5
• B6✓
• C7
• D8

Answer: Mean = (4 + 6 + 8 + 5 + 7) ÷ 5 = 30 ÷ 5 = 6.

A line graph shows the temperature in a classroom. At 9 am the line is at 16°C. At 11 am it is at 21°C. How much did the temperature rise?

• A4°C
• B5°C✓
• C6°C
• D37°C

Answer: The line rises from 16°C to 21°C, and 21 − 16 = 5°C.

A dataset has 6 values. The mean is 10. If 5 of the values are 8, 9, 10, 11, 12, what is the 6th value?

• A10✓
• B11
• C12
• D13

Answer: Sum of all 6 values = 10 × 6 = 60. Sum of 5 known values = 8 + 9 + 10 + 11 + 12 = 50. The 6th value = 60 - 50 = 10.

In a class, the heights of 5 children are: 120 cm, 125 cm, 130 cm, 128 cm, 122 cm. What is the mean (average) height?

• A130 cm
• B120 cm
• C128 cm
• D125 cm✓

Answer: Mean = (120 + 125 + 130 + 128 + 122) ÷ 5 = 625 ÷ 5 = 125 cm.

In a pictogram, one full circle stands for 10 letters and a half circle stands for 5 letters. Tuesday has 3 full circles and 1 half circle. How many letters were delivered on Tuesday?

• A31
• B40
• C45
• D35✓

Answer: Three full circles are 3 × 10 = 30 letters, and the half circle is 5 more. 30 + 5 = 35 letters.

A line graph shows how tall a sunflower was each week. In week 1 it was 4 cm tall. In week 5 it was 24 cm tall. What was the mean growth each week?

• A4 cm
• B5 cm✓
• C6 cm
• D20 cm

Answer: The sunflower grew 24 − 4 = 20 cm, and there are 4 weeks between week 1 and week 5. 20 ÷ 4 = 5 cm each week.

A bar chart shows favourite fruit: apples 12, bananas 9, grapes 15, pears 6. Which fruit was chosen by exactly twice as many children as pears?

• AApples✓
• BBananas
• CGrapes
• DPears

Answer: Six children chose pears, and 2 × 6 = 12, which matches the bar for apples.

A table shows how Year 6 travel to school. In class A, 14 of the 30 pupils walk. In class B, 18 of the 30 pupils walk. How many pupils in Year 6 do not walk to school?

• A12
• B16
• C28✓
• D32

Answer: Class A has 30 − 14 = 16 who do not walk and class B has 30 − 18 = 12. Together that is 16 + 12 = 28 pupils.

A pie chart shows how 200 people voted for a school sport. The swimming sector is one fifth of the circle. How many people voted for swimming?

• A20
• B40✓
• C50
• D100

Answer: One fifth of 200 is 200 ÷ 5 = 40 people.

A table shows a shop's takings. Week 1 was £320 and week 2 was £415. How much more did the shop take in week 2?

• A£105
• B£115
• C£735
• D£95✓

Answer: Find the difference: £415 − £320 = £95.

The scores are: 10, 15, 12, 18, 20. What is the mean?

• A12
• B15✓
• C16
• D18

Answer: Mean = (10 + 15 + 12 + 18 + 20) ÷ 5 = 75 ÷ 5 = 15.

On a bar chart the scale goes up in 20s. A bar stops exactly halfway between 40 and 60. What value does the bar show?

• A45
• B48
• C50✓
• D55

Answer: Halfway between 40 and 60 is 50, because 40 + 10 = 50 and 60 − 10 = 50.

A team scored a mean of 3 goals in each of its first 5 matches. In the next match it scored 9 goals. What is the mean number of goals for all 6 matches?

• A4✓
• B5
• C6
• D12

Answer: The first 5 matches gave 3 × 5 = 15 goals. With the next match that is 15 + 9 = 24 goals in 6 matches, and 24 ÷ 6 = 4.

A table shows how many minutes Ali read each day: Monday 20, Tuesday 30, Wednesday 0, Thursday 40, Friday 30. What was his mean reading time per day?

• A24 minutes✓
• B25 minutes
• C30 minutes
• D120 minutes

Answer: The total is 20 + 30 + 0 + 40 + 30 = 120 minutes. Wednesday still counts as a day, so divide by 5: 120 ÷ 5 = 24 minutes.

A line graph shows how far a car has travelled. The line goes up, is flat between 10:00 and 10:30, then goes up again. What does the flat part show?

• AThe car was travelling at its fastest
• BThe car was moving back towards the start
• CThe car had reached the end of its journey
• DThe car stopped and stayed in one place✓

Answer: The height of the line is the distance travelled. A flat line means the distance did not change, so the car was stopped during that half hour.

A bar chart shows library books borrowed: Monday 40, Tuesday 35, Wednesday 25. How many more books were borrowed on Monday and Tuesday together than on Wednesday?

• A15
• B50✓
• C75
• D100

Answer: Monday and Tuesday together are 40 + 35 = 75 books. Then 75 − 25 = 50 more books.

A pie chart shows how 360 people travel to work. The sector for the bus is a right angle, which is one quarter of the circle. How many people travel by bus?

• A45
• B60
• C90✓
• D180

Answer: A quarter of 360 is 360 ÷ 4 = 90 people.

A pictogram shows fruit sold. One apple symbol stands for 2 kg. Shop A has 7 symbols and shop B has 4 symbols. How much more fruit did shop A sell?

• A3 kg
• B6 kg✓
• C11 kg
• D14 kg

Answer: Shop A sold 7 × 2 = 14 kg and shop B sold 4 × 2 = 8 kg. The difference is 14 − 8 = 6 kg.

A line graph shows how many ice creams a shop sold each month. The line rises from May to July and then falls in August. In which month did the shop sell the most ice creams?

• AMay
• BJune
• CJuly✓
• DAugust

Answer: The line reaches its highest point in July, because it goes up until July and then turns downwards.

A line graph shows a puppy's weight. At 2 months the line is at 5 kg. At 6 months it is at 8 kg. How much weight did the puppy gain between 2 and 6 months?

• A2 kg
• B3 kg✓
• C4 kg
• D13 kg

Answer: The line rises from 5 kg to 8 kg, so the gain is 8 − 5 = 3 kg.

A line graph has one line for shop A and one line for shop B. In March shop A's line is at 40 and shop B's line is at 25. How many more items did shop A sell in March?

• A15✓
• B20
• C25
• D65

Answer: Read both lines above March, then find the difference: 40 − 25 = 15 items.