Sec 1 G1 Maths Data handling worksheet with answers
A free Sec 1 G1 Maths worksheet on data handling: 11 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 diagram is an example of a pie chart. Which statement about pie charts is true?
Answer[1]
2
The numbers of goals scored last season by six football teams are to be compared. Which statistical diagram is the most suitable?
Answer[1]
3
The bar graph shows the cars passing a junction. Find how many more cars there are for 10 am than for 8 am.
Answer[2]
4
The pie chart shows how a family spends its monthly budget. The total budget is $3000. Find the amount, in dollars, spent on Housing.
Answer[2]
5
The pictogram shows how pupils travel to school. Find the total number of pupils.
Answer[2]
6
Item
Apples
Oranges
Durians
Mangoes
Number of fruits
12
5
4
9
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°[2]
7
(a)Mei records her time for a 2.4 km run every week for 10 weeks and wants to show the trend in her times. Which statistical diagram is the most suitable?
Answer (a)[1]
(b)A class of 40 pupils each chooses a favourite CCA. The teacher wants to show what fraction of the class chose each CCA. Which statistical diagram is the most suitable?
Answer (b)[1]
8
The bar graph shows how pupils travel to school. Find how many more pupils there are for Car than for MRT.
Answer[2]
9
The line graph shows the visitors to a museum. Between which two consecutive times on the graph was the increase in the number of visitors the greatest?
Answer[3]
Section B
10
(a)The pie chart shows the favourite sports of a group of pupils. There are 120 pupils altogether. Find the number of pupils for Football.
Answer (a)[2]
(b)The pictogram shows how pupils travel to school. Find the total number of pupils.
Answer (b)[2]
(c)The line graph shows the height of a plant. Between which two consecutive times on the graph was the increase in height of the plant the greatest?
Answer (c)[2]
11
(a)The diagram is an example of a bar graph. Which statement about bar graphs is true?
Answer (a)[1]
(b)The pie chart shows the favourite sports of a group of pupils. There are 90 pupils altogether. Find the number of pupils for Football.
Answer (b)[2]
(c)The line graph shows the height of a plant. Find the increase in height of the plant from Week 1 to Week 4.
Answer (c)[2]
(d)The pictogram shows the favourite hawker food of a class. Find the number of pupils for Nasi lemak.
Answer (d)[2]
END OF PAPER
Answers and worked solutions
Question 1
Answer: B[1]
It shows how a value changes over time. False.It does not show the actual numbers unless they are written on it. True.It can show data that do not make a whole such as the heights of five buildings. False.The angles of the sectors add up to 100°. False.B: It does not show the actual numbers unless they are written on it.
Question 2
Answer: BAR[1]
The diagram has to compare amounts in separate categories.Bar graph.
Question 3
Answer: =11[2]
One small division stands for 1.10 am: 18; 8 am: 718−7=11
Question 4
Answer: =600[2]
x=360−108−96−48−36x=7236072×3000=600
Question 5
Answer: =180[2]
1+4+6.5+4.5+2=18 symbols18×10=180
Question 6
Answer: =144∘ °[2]
Total=12+5+4+9=30Angle=3012×360∘=144∘
Question 7
(a)Answer: LINE[1]
The diagram has to show how something changes over time.Line graph.
(b)Answer: PIE[1]
The diagram has to show each part as a share of a whole.Pie chart.
Question 8
Answer: =15[2]
One small division stands for 5.Car: 95; MRT: 8095−80=15
Question 9
Answer: D[3]
Mon to Tue: 70−80=−10Tue to Wed: 100−70=30Wed to Thu: 100−100=0Thu to Fri: 140−100=40Fri to Sat: 120−140=−20Sat to Sun: 150−120=30The greatest increase was from Thu to Fri.
Question 10
(a)Answer: =15[2]
x=360−105−84−69−57x=4536045×120=15
(b)Answer: =135[2]
1+6.5+3.5+5.5+6=22.5 symbols22.5×6=135
(c)Answer: A[2]
Week 0 to Week 1: 15−11=4Week 1 to Week 2: 12−15=−3Week 2 to Week 3: 10−12=−2Week 3 to Week 4: 9−10=−1Week 4 to Week 5: 6−9=−3The greatest increase was from Week 0 to Week 1.
Question 11
(a)Answer: C[1]
The widths of the bars show the values. False.It can only show one set of data. False.Exact values can be read from the scale. True.It shows each category's share of the whole better than a pie chart. False.C: Exact values can be read from the scale.