Sec 1 G2 Maths Statistics worksheet with answers

A free Sec 1 G2 Maths worksheet on statistics: 9 questions, 30 marks, short questions first and then structured ones, in the school exam style. The answers and full worked solutions are on the last page.

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Sec 1 G2 Maths worksheet: Statistics

Total: 30 marksSuggested time: 50 minutes

Name: ______________________________Class: ____________ Date: ____________

Answer all questions. Show all your working. Give non-exact answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless the question says otherwise.

Section A

The number of sales went up from

20

in 2021 to

80

in 2023, which is

4

times as many. The artist drew the 2023 picture

4

times as tall and

4

times as wide as the 2021 picture. The area of the 2023 picture is

k

times the area of the 2021 picture. Find the value of

k

Answer[2]

The pie chart shows the favourite sports of a group of pupils. The number of pupils for Football is

23

. Find the number of pupils for Swimming.

Answer[2]

The bar graph shows the bags of rice sold at a shop. Which statement can NOT be justified from the bar graph?

Answer[2]

The line graph shows the monthly sales of a bubble tea shop. Find the increase in sales from Apr to Jun.

Answer[2]

The bar graph shows how pupils travel to school. Express the number of pupils for Bus as a percentage of the total number of pupils.

Answer%[2]

Section B

(a)The line graph shows the height of a plant. Find the percentage increase in height of the plant from Week 1 to Week 2.

Answer (a)%[2]

(b)The bar graph shows the cars passing a junction. Find how many more cars there are for 8 am than for 9 am.

Answer (b)[2]

(a)The pie chart shows the CCAs chosen by Secondary 1 pupils. There are

180

pupils altogether. Find the number of pupils for Arts.

Answer (a)[1]

(b)The prices of the same pair of shoes in four different shops are to be compared. Which statistical diagram is the most suitable?

Answer (b)[1]

(c)The pictogram shows the cars passing a junction, but its key is missing. The number of cars for 8 am is

18

. Find the number of cars for 7 am.

Answer (c)[2]

(a)The line graph shows the visitors to a museum. Find the number of visitors on Wed.

Answer (a)[1]

(b)The bar graph shows the number of cars sold in 2019 and 2023. The 2023 bar is

k

times as tall as the 2019 bar. By measuring the bars, find the value of

k

Answer (b)[2]

(c)The bar graph shows the books borrowed from a school library. Which statement can NOT be justified from the bar graph?

Answer (c)[2]

(a)The pie chart shows the drinks sold at a canteen. Express the number of drinks for Water as a percentage of the total number of drinks.

Answer (a)%[1]

(b)The pictogram shows how pupils travel to school. The number of pupils for Bus is

k

times the number for Walk. Find the value of

k

Answer (b)[2]

(c)The bar graph shows the number of cars sold in 2019 and 2023. The 2023 bar is

k

times as tall as the 2019 bar. By measuring the bars, find the value of

k

Answer (c)[2]

(d)The line graph shows the water level in a reservoir. Find the percentage increase in water level from 2023 to 2024, correct to 3 significant figures.

Answer (d)%[2]

END OF PAPER

Answers and worked solutions

Question 1

Answer: The picture looks

16

times as big, though the number is only

4

times as large.[2]

4 \times 4

= 16

The picture looks

16

times as big, though the number is only

4

times as large.

Question 2

Answer:

= 32

[2]

1^\circ \text{ stands for } \dfrac{23}{92} \text{ pupils}

\dfrac{23}{92} \times 128

= 32

Question 3

Answer: A[2]

More bags of rice will be sold in Week 5 than in Week 4. The data are only for the people and the times surveyed. Can't tell.There are 3 times as many bags of rice for Week 3 as for Week 1. Week 1

12

; Week 2

16

; Week 3

36

; Week 4

50

. True.The number of bags of rice is greatest for Week 4. Week 1

12

; Week 2

16

; Week 3

36

; Week 4

50

. True.The number of bags of rice is smallest for Week 1. Week 1

12

; Week 2

16

; Week 3

36

; Week 4

50

. True.A: More bags of rice will be sold in Week 5 than in Week 4.

Question 4

Answer:

= 4.5

thousand cups[2]

Apr:

2

thousand cups; Jun:

6.5

thousand cups

6.5 - 2

= 4.5

thousand cups

Question 5

Answer:

= 14\%

[2]

\text{Total} = 35 + 25 + 55 + 90 + 45

= 250

\dfrac{35}{250} \times 100\%

= 14\%

Question 6

(a)Answer:

= 37.5\%

[2]

\text{Increase} = 11 - 8

= 3

\dfrac{3}{8} \times 100\%

= 37.5\%

(b)Answer:

= 4

[2]

One small division stands for

1

.8 am:

23

; 9 am:

19

23 - 19

= 4

Question 7

(a)Answer:

= 65

[1]

\dfrac{130}{360} \times 180

= 65

(b)Answer: BAR[1]

The diagram has to compare amounts in separate categories.Bar graph.

(c)Answer:

= 9

[2]

1 \text{ symbol} = \dfrac{18}{3}

= 6

cars

1.5 \times 6

= 9

Question 8

(a)Answer: At Wed, the number of visitors was

140

.[1]

At Wed, the number of visitors was

140

(b)Answer: It looks

4

times as tall, but the real ratio is only

\dfrac{60}{45}

.[2]

Drawn height of the 2019 bar:

45 - 40 = 5

Drawn height of the 2023 bar:

60 - 40 = 20

\dfrac{20}{5}

= 4

It looks

4

times as tall, but the real ratio is only

\dfrac{60}{45}

(c)Answer: A[2]

There are twice as many books for Friday as for Monday. Monday

3

; Tuesday

8

; Wednesday

9

; Thursday

7

; Friday

5

. False.There are 32 books altogether. Total

= 3 + 8 + 9 + 7 + 5

= 32

. True.There are 3 times as many books for Wednesday as for Monday. Monday

3

; Tuesday

8

; Wednesday

9

; Thursday

7

; Friday

5

. True.The number of books is greatest for Wednesday. Monday

3

; Tuesday

8

; Wednesday

9

; Thursday

7

; Friday

5

. True.A: There are twice as many books for Friday as for Monday.

Question 9

(a)Answer:

= 10\%

[1]

\dfrac{36}{360} \times 100\%

= 10\%

(b)Answer:

= 2.5

[2]

Bus:

5

; Walk:

2

\dfrac{5}{2}

= 2.5

(c)Answer: It looks

3

times as tall, but the real ratio is only

\dfrac{32}{24}

.[2]

Drawn height of the 2019 bar:

24 - 20 = 4

Drawn height of the 2023 bar:

32 - 20 = 12

\dfrac{12}{4}

= 3

It looks

3

times as tall, but the real ratio is only

\dfrac{32}{24}

(d)Answer:

= 6.90\%

(3 s.f.)[2]

\text{Increase} = 15.5 - 14.5

= 1

\dfrac{1}{14.5} \times 100\%

= 6.8965\ldots

= 6.90\%

(3 s.f.)

Sec 1 G2 Maths Statistics worksheet with answers

In the print window, choose Save as PDF to download it.

Or practise it online with step-by-step help when you get one wrong.

Section A

The number of sales went up from

20

in 2021 to

80

in 2023, which is

4

times as many. The artist drew the 2023 picture

4

times as tall and

4

times as wide as the 2021 picture. The area of the 2023 picture is

k

times the area of the 2021 picture. Find the value of

k

Answer[2]

Section B

(a)The line graph shows the height of a plant. Find the percentage increase in height of the plant from Week 1 to Week 2.

Answer (a)%[2]

(b)The bar graph shows the cars passing a junction. Find how many more cars there are for 8 am than for 9 am.

Answer (b)[2]

Answers and worked solutions

Question 1

Answer: The picture looks

16

times as big, though the number is only

4

times as large.[2]

4 \times 4

= 16

The picture looks

16

times as big, though the number is only

4

times as large.

Question 2

Answer:

= 32

[2]

1^\circ \text{ stands for } \dfrac{23}{92} \text{ pupils}

\dfrac{23}{92} \times 128

= 32

Question 3

Answer: A[2]

More bags of rice will be sold in Week 5 than in Week 4. The data are only for the people and the times surveyed. Can't tell.There are 3 times as many bags of rice for Week 3 as for Week 1. Week 1

12

; Week 2

16

; Week 3

36

; Week 4

50

. True.The number of bags of rice is greatest for Week 4. Week 1

12

; Week 2

16

; Week 3

36

; Week 4

50

. True.The number of bags of rice is smallest for Week 1. Week 1

12

; Week 2

16

; Week 3

36

; Week 4

50

. True.A: More bags of rice will be sold in Week 5 than in Week 4.

Question 4

Answer:

= 4.5

thousand cups[2]

Apr:

2

thousand cups; Jun:

6.5

thousand cups

6.5 - 2

= 4.5

thousand cups

Question 5

Answer:

= 14\%

[2]

\text{Total} = 35 + 25 + 55 + 90 + 45

= 250

\dfrac{35}{250} \times 100\%

= 14\%

Question 6

(a)Answer:

= 37.5\%

[2]

\text{Increase} = 11 - 8

= 3

\dfrac{3}{8} \times 100\%

= 37.5\%

(b)Answer:

= 4

[2]

One small division stands for

1

.8 am:

23

; 9 am:

19

23 - 19

= 4

Question 7

(a)Answer:

= 65

[1]

\dfrac{130}{360} \times 180

= 65

(b)Answer: BAR[1]

The diagram has to compare amounts in separate categories.Bar graph.

(c)Answer:

= 9

[2]

1 \text{ symbol} = \dfrac{18}{3}

= 6

cars

1.5 \times 6

= 9

Question 8

(a)Answer: At Wed, the number of visitors was

140

.[1]

At Wed, the number of visitors was

140

(b)Answer: It looks

4

times as tall, but the real ratio is only

\dfrac{60}{45}

.[2]

Drawn height of the 2019 bar:

45 - 40 = 5

Drawn height of the 2023 bar:

60 - 40 = 20

\dfrac{20}{5}

= 4

It looks

4

times as tall, but the real ratio is only

\dfrac{60}{45}

(c)Answer: A[2]

There are twice as many books for Friday as for Monday. Monday

3

; Tuesday

8

; Wednesday

9

; Thursday

7

; Friday

5

. False.There are 32 books altogether. Total

= 3 + 8 + 9 + 7 + 5

= 32

. True.There are 3 times as many books for Wednesday as for Monday. Monday

3

; Tuesday

8

; Wednesday

9

; Thursday

7

; Friday

5

. True.The number of books is greatest for Wednesday. Monday

3

; Tuesday

8

; Wednesday

9

; Thursday

7

; Friday

5

. True.A: There are twice as many books for Friday as for Monday.

Question 9

(a)Answer:

= 10\%

[1]

\dfrac{36}{360} \times 100\%

= 10\%

(b)Answer:

= 2.5

[2]

Bus:

5

; Walk:

2

\dfrac{5}{2}

= 2.5

(c)Answer: It looks

3

times as tall, but the real ratio is only

\dfrac{32}{24}

.[2]

Drawn height of the 2019 bar:

24 - 20 = 4

Drawn height of the 2023 bar:

32 - 20 = 12

\dfrac{12}{4}

= 3

It looks

3

times as tall, but the real ratio is only

\dfrac{32}{24}

(d)Answer:

= 6.90\%

(3 s.f.)[2]

\text{Increase} = 15.5 - 14.5

= 1

\dfrac{1}{14.5} \times 100\%

= 6.8965\ldots

= 6.90\%

(3 s.f.)