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Chapter 10 Practice Paper: Statistical Data Handling — question paper

QuizQuipPractice Series
QQ/S1MATH/CH10

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 10 Practice Paper

Statistical Data Handling

Duration: 40 minutes
Total: 30 marks
Name:
Class:
Register No.:
Date:

READ THESE INSTRUCTIONS FIRST

  • Write your name, class and register number in the spaces at the top of this page.
  • Answer all questions.
  • Section A: write the letter (A, B, C or D) of the correct answer in the brackets provided.
  • Section B: write your answers in the spaces provided.
  • Show all working. Marks may be awarded for correct working even if the final answer is wrong.
  • Give units with your answers where appropriate.
  • The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Lower Secondary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 10.

For Examiner’s Use
Section A/ 10
Section B/ 20
Total/ 30

Section A: Multiple-choice questions[10 marks]

Answer all questions. For each question, write the letter (A, B, C or D) of the correct answer in the brackets provided.

  1. 1

    In the statistical investigation cycle, which step happens immediately before data is collected?

    1. AInterpret the results
    2. BPresent a report
    3. CDecide the question to investigate
    4. DDraw the graphs
    ( )
  2. 2

    The favourite fruit of 30 pupils was surveyed: Apple 12, Grape 8, Melon 6, Banana 4. How many pupils chose apple or grape?

    1. A20
    2. B12
    3. C8
    4. D18
    ( )
  3. 3

    A sunshine pictogram uses one sun symbol for 3 hours. A row shows 4½ symbols. How many hours of sunshine is that?

    1. A12 hours
    2. B13.5 hours
    3. C15 hours
    4. D7.5 hours
    ( )
  4. 4

    A pie chart shows the 40 members of a club. The sector for non-fiction books has an angle of 126°. How many members does it represent?

    1. A126
    2. B35
    3. C10
    4. D14
    ( )
  5. 5

    Which type of graph best shows how a baby’s mass changes from month to month over one year?

    1. APictogram
    2. BTally chart
    3. CLine graph
    4. DPie chart
    ( )
  6. 6

    In a histogram of grouped masses, the bars are drawn with no gaps between them because

    1. Athe classes share boundaries, as the data is continuous
    2. Bthe bars are drawn to different scales
    3. Cthe class intervals overlap
    4. Dthe frequencies are estimates
    ( )
  7. 7

    The masses of 60 parcels are grouped as: 1–2 kg: 14, 2–3 kg: 22, 3–4 kg: 16, 4–5 kg: 8. How many parcels are lighter than 3 kg?

    1. A22
    2. B14
    3. C44
    4. D36
    ( )
  8. 8

    In a pie chart, a sector of 90° represents 15 pupils. How many pupils are in the whole group?

    1. A30
    2. B60
    3. C45
    4. D90
    ( )
  9. 9

    A bar graph of the test scores of two classes has a vertical axis running from 50 to 100. What should a careful reader do first?

    1. ATrust the tallest bar
    2. BCheck the scale on the vertical axis before comparing the bars
    3. CConclude that both classes scored the same
    4. DAdd the heights of the two bars
    ( )
  10. 10

    A pictogram uses one symbol = 5 books read over a term: Adventure 3, Mystery 4, History 2, Science 1. How many more mystery books than science books were read?

    1. A20 books
    2. B5 books
    3. C15 books
    4. D10 books
    ( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show your working clearly. Give angles in degrees.

  1. 1

    A class of 40 pupils recorded their main way of staying active after school. The results are in the table.

    Ways of staying active

    ActivityFrequency
    Sport18
    Walk or cycle12
    Clubs6
    None of these4
    1. (a)

      Which activity is the most common, and how many pupils chose it?

      [1]
    2. (b)

      What fraction of the class chose walk or cycle? Give your answer in its simplest form.

      [1]
    3. (c)

      The results are to be shown in a pie chart. Calculate the angle for Sport.

      [2]
    4. (d)

      Explain why a line graph would not be a suitable graph for this data.

      [1]
  2. 2

    A pie chart shows how the 60 members of a reading club travel to meetings. The sector for travelling by bus has an angle of 150°.

    1. (a)

      Write the angle for bus travel as a fraction of a full turn in its simplest form.

      [1]
    2. (b)

      How many members travel by bus?

      [2]
    3. (c)

      Nine members walk to the meetings. Calculate the angle of the walking sector.

      [2]
  3. 3

    A hot drink cools on a bench. A pupil records its temperature every 5 minutes.

    Cooling drink

    Time (minutes)0510152025
    Temperature (°C)826858514642
    1. (a)

      By how many degrees did the temperature fall in the first 10 minutes?

      fall =[1]
    2. (b)

      Between which two recorded times did the temperature fall fastest?

      [1]
    3. (c)

      Find the average rate of fall, in degrees per minute, between 0 and 5 minutes.

      [2]
    4. (d)

      Estimate the temperature at 12 minutes, giving a reason.

      [1]
  4. 4

    A vet recorded the masses of 40 cats, grouped in classes of 1 kg.

    Masses of 40 cats

    Mass m (kg)Frequency
    2 ≤ m < 36
    3 ≤ m < 414
    4 ≤ m < 512
    5 ≤ m < 68
    1. (a)

      How many of the 40 cats weigh 4 kg or more?

      cats =[1]
    2. (b)

      Which class contains the most cats?

      [1]
    3. (c)

      Why can this table not tell you the mass of the single heaviest cat?

      [1]
    4. (d)

      The vet draws a pie chart of the data. Calculate the angle for the 3 kg up to 4 kg class.

      [2]

— End of paper —