A free Sec 1 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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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
1
The pie chart shows the CCAs chosen by Secondary 1 pupils. There are 72 pupils altogether. Find the number of pupils for Uniformed.
Answer[1]
2
(a)Ali's 24-hour day is split into sleep, school, homework, play and meals. He wants to show what fraction of the day each activity takes. Which statistical diagram is the most suitable?
Answer (a)[1]
(b)A pupil measures the height of a bean plant at the end of each week for 8 weeks and wants to show how its height changes as it grows. Which statistical diagram is the most suitable?
Answer (b)[1]
3
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[2]
4
The pictogram shows the cars passing a junction. Find the number of cars for 10 am.
Answer[2]
5
The line graph shows the monthly sales of a bubble tea shop. Find the increase in sales from Apr to Jun.
Answer[2]
Section B
6
(a)The line graph shows the water level in a reservoir. Find the water level in 2023.
Answer (a)[1]
(b)The graph was drawn to show the cars sold by a dealer. Which feature makes the graph misleading?
Answer (b)[1]
(c)The pictogram shows how pupils travel to school, but its key is missing. The number of pupils for Car is 20. Find the number of pupils for Bus.
Answer (c)[2]
7
(a)The bar graph shows the bags of rice sold at a shop. Which statement can NOT be justified from the bar graph?
Answer (a)[2]
Item
Uniformed
Sports
Arts
Clubs
Number of pupils
5
6
3
10
(b)The table shows the CCAs chosen by Secondary 1 pupils. The information is to be shown in a pie chart. Calculate the angle of the sector for Arts.
Answer (b)°[2]
8
(a)The pie chart shows the CCAs chosen by Secondary 1 pupils. The number of pupils for Uniformed is k times the number for Clubs. Find the value of k.
Answer (a)[2]
(b)The pictogram shows the cars passing a junction. Find the number of cars for 9 am.
Answer (b)[2]
(c)The pie chart shows the fruit sold at a stall. There are 60 fruits altogether. Find the number of fruits for Durians.
Answer (c)[2]
9
(a)The graph was drawn to show the books sold at a book fair. Which feature makes the graph misleading?
Answer (a)[1]
Item
Apples
Oranges
Durians
Mangoes
Number of fruits
8
14
10
4
(b)The table shows the fruit sold at a stall. The information is to be shown in a pie chart. Calculate the angle of the sector for Apples.
Answer (b)°[2]
(c)The line graph shows the water level in a reservoir. Find the rise in water level from 2023 to 2024.
Answer (c)[2]
(d)The bar graph shows how pupils travel to school. Express the number of pupils for Walk as a percentage of the total number of pupils.
Answer (d)%[2]
END OF PAPER
Answers and worked solutions
Question 1
Answer: =22[1]
360110×72=22
Question 2
(a)Answer: PIE[1]
The diagram has to show each part as a share of a whole.Pie chart.
(b)Answer: LINE[1]
The diagram has to show how something changes over time.Line graph.
Question 3
Answer: It looks 4 times as tall, but the real ratio is only 520580.[2]
Drawn height of the 2019 bar: 520−500=20Drawn height of the 2023 bar: 580−500=802080=4It looks 4 times as tall, but the real ratio is only 520580.
(a)Answer: At 2023, the water level was 15.5 m.[1]
At 2023, the water level was 15.5 m.
(b)Answer: INTERVALS[1]
The time intervals are not equal. The years are equally spaced on the axis but the gaps are 5 years, then 1 year, so the trend looks wrong.
(c)Answer: =15[2]
1 symbol=220=10 pupils1.5×10=15
Question 7
(a)Answer: D[2]
There are 26 bags of rice altogether. Total =10+2+5+9=26. True.The number of bags of rice is greatest for Week 1. Week 1 10; Week 2 2; Week 3 5; Week 4 9. True.There are twice as many bags of rice for Week 1 as for Week 3. Week 1 10; Week 2 2; Week 3 5; Week 4 9. True.More bags of rice will be sold in Week 5 than in Week 1. The data are only for the people and the times surveyed. Can't tell.D: More bags of rice will be sold in Week 5 than in Week 1.
(b)Answer: =45∘ °[2]
Total=5+6+3+10=24Angle=243×360∘=45∘
Question 8
(a)Answer: =3[2]
Uniformed: 135; Clubs: 4545135=3
(b)Answer: =16[2]
There are 4 symbols for 9 am.4×4=16
(c)Answer: =24[2]
x=360−84−60−72x=144360144×60=24
Question 9
(a)Answer: WIDTHS[1]
The bars are of different widths. Wider bars have more area, so the eye sees them as bigger than their heights say.