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Primary 5 Mathematics Weighted Assessment 3 (Term 3) Paper 1

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Questions

TUITIONGOWHERE PRIMARY SCHOOL (AI)

WEIGHTED ASSESSMENT 3 EXAMINATION 2026

PRIMARY 5 MATHEMATICS

Duration: 1 hour Total Marks: 70

INSTRUCTIONS:

  1. Do not turn over this page until you are told to do so.
  2. Answer all questions.
  3. Show your working clearly.
  4. You are not allowed to use a calculator.

Name: _________________ ( ) Class: Primary 5 ( ) Date: _________________

SectionMarks
A (MCQ)/20
B (Short Answer)/25
C (Word Problems)/25
Total/70

Section A: Multiple Choice (20 marks)

For each question, choose the correct answer and write the letter in the brackets.

  1. What is the average of 24, 36, 18, 30 and 27?

    • A) 25
    • B) 27
    • C) 29
    • D) 30

    Answer: ( )

  2. The area of a triangle with base 12 cm and height 8 cm is:

    • A) 20 cm²
    • B) 40 cm²
    • C) 48 cm²
    • D) 96 cm²

    Answer: ( )

  3. A parallelogram has base 15 cm and height 9 cm. What is its area?

    • A) 24 cm²
    • B) 48 cm²
    • C) 135 cm²
    • D) 270 cm²

    Answer: ( )

  4. Express 3/8 as a percentage.

    • A) 30%
    • B) 35%
    • C) 37.5%
    • D) 38%

    Answer: ( )

  5. If 60% of a number is 48, what is the number?

    • A) 72
    • B) 80
    • C) 85
    • D) 90

    Answer: ( )

  6. A car travels 280 km in 3.5 hours. What is its average speed?

    • A) 75 km/h
    • B) 80 km/h
    • C) 85 km/h
    • D) 90 km/h

    Answer: ( )

  7. What is the volume of a cube with side 5 cm?

    • A) 25 cm³
    • B) 75 cm³
    • C) 125 cm³
    • D) 625 cm³

    Answer: ( )

  8. Share $240 in the ratio 3:5:8. What is the largest share?

    • A) $45
    • B) $75
    • C) $105
    • D) $120

    Answer: ( )

  9. The perimeter of a square is 36 cm. What is its area?

    • A) 64 cm²
    • B) 81 cm²
    • C) 100 cm²
    • D) 144 cm²

    Answer: ( )

  10. 15% of 200 is:

    • A) 25
    • B) 30
    • C) 35
    • D) 40

    Answer: ( )

Section B: Short Answer (25 marks)

Show all your working clearly.

  1. Find the average of these test scores: 78, 85, 92, 67, 88 [3 marks] Average = _______

  2. Calculate the area of composite shapes: [6 marks] A shape consists of a rectangle (10 cm × 6 cm) with a triangle on top (base 10 cm, height 4 cm). Total area = _______ cm²

  3. Find: [4 marks] a) 45% of 160 = _______ b) What percentage of 80 is 24? _______%

  4. A tank can be filled by Pipe A in 8 hours and by Pipe B in 12 hours. [4 marks] If both pipes work together, how long will it take to fill the tank? _______ hours

  5. Calculate the volume and surface area of a cube with side 7 cm: [4 marks] a) Volume = _______ cm³ b) Surface area = _______ cm²

  6. The table shows the number of books read by students: [4 marks]

    StudentBooks
    Amy12
    Ben8
    Carol15
    David9
    Eva11

    What is the average number of books read per student? _______

Section C: Word Problems (25 marks)

Show your working clearly using any method. You may draw models to help you.

  1. Average and Data Analysis Problem [8 marks] The daily temperatures (°C) for a week were: 28, 31, 29, 33, 30, 32, 27 a) What is the average temperature for the week? b) What is the range of temperatures? c) If the temperature on the next day is 35°C, what would be the new average for the 8 days?

  2. Composite Area Problem [8 marks] A playground consists of a rectangular field (40 m × 25 m) with a semicircular area at each end. Each semicircle has a radius of 12.5 m. a) Find the area of the rectangular field. b) Find the total area of both semicircles. (Take π = 3.14) c) What is the total area of the playground?

  3. Rate, Percentage and Average Problem [9 marks] A factory produces toys at the following rates:

    • Monday to Wednesday: 150 toys per day
    • Thursday to Friday: 180 toys per day
    • Saturday: 200 toys

    a) How many toys were produced during the week? b) What is the average daily production? c) If the factory increased production by 20% next week, how many toys would be produced next week?

END OF PAPER

Answers

TUITIONGOWHERE PRIMARY SCHOOL (AI)

WEIGHTED ASSESSMENT 3 EXAMINATION 2026 - ANSWERS

PRIMARY 5 MATHEMATICS

Duration: 1 hour Total Marks: 70

Section A: Multiple Choice (20 marks)

[2 marks each]

  1. B) 27

    • Average = (24 + 36 + 18 + 30 + 27) ÷ 5 = 135 ÷ 5 = 27

  2. C) 48 cm²

    • Area of triangle = ½ × base × height = ½ × 12 × 8 = 48 cm²

  3. C) 135 cm²

    • Area of parallelogram = base × height = 15 × 9 = 135 cm²

  4. C) 37.5%

    • 3/8 = 0.375 = 37.5%

  5. B) 80

    • 60% of number = 48, so number = 48 ÷ 0.6 = 80

  6. B) 80 km/h

    • Speed = Distance ÷ Time = 280 ÷ 3.5 = 80 km/h

  7. C) 125 cm³

    • Volume of cube = side³ = 5³ = 125 cm³

  8. D) $120

    • Ratio = 3:5:8, Total = 16 parts = $240
    • 1 part = 15,Largestshare=8×15, Largest share = 8 × 15 = $120

  9. B) 81 cm²

    • Perimeter = 36 cm, so side = 36 ÷ 4 = 9 cm
    • Area = 9² = 81 cm²

  10. B) 30

    • 15% of 200 = 15/100 × 200 = 30

Section B: Short Answer (25 marks)

  1. Average = 82 [3 marks] Working: (78 + 85 + 92 + 67 + 88) ÷ 5 = 410 ÷ 5 = 82

  2. Total area = 80 cm² [6 marks] Working:

    • Rectangle area = 10 × 6 = 60 cm²
    • Triangle area = ½ × 10 × 4 = 20 cm²
    • Total = 60 + 20 = 80 cm²

  3. Percentage calculations: [4 marks] a) 45% of 160 = 72 b) 24 is 30% of 80

  4. Combined rate = 4.8 hours [4 marks] Working:

    • Pipe A rate: 1/8 tank per hour
    • Pipe B rate: 1/12 tank per hour
    • Combined rate: 1/8 + 1/12 = 3/24 + 2/24 = 5/24 tank per hour
    • Time = 1 ÷ (5/24) = 24/5 = 4.8 hours

  5. Cube calculations: [4 marks] a) Volume = 7³ = 343 cm³ b) Surface area = 6 × 7² = 294 cm²

  6. Average books = 11 [4 marks] Working: (12 + 8 + 15 + 9 + 11) ÷ 5 = 55 ÷ 5 = 11

Section C: Word Problems (25 marks)

  1. Temperature analysis: [8 marks] a) Average = (28 + 31 + 29 + 33 + 30 + 32 + 27) ÷ 7 = 210 ÷ 7 = 30°C b) Range = 33 - 27 = 6°C c) New average = (210 + 35) ÷ 8 = 245 ÷ 8 = 30.6°C

  2. Playground area: [8 marks] a) Rectangular field = 40 × 25 = 1,000 m² b) Two semicircles = π × 12.5² = 3.14 × 156.25 = 490.625 m² c) Total area = 1,000 + 490.625 = 1,490.625 m²

  3. Factory production: [9 marks] a) Weekly production:

    • Mon-Wed: 3 × 150 = 450 toys
    • Thu-Fri: 2 × 180 = 360 toys
    • Saturday: 200 toys
    • Total = 1,010 toys

    b) Average daily = 1,010 ÷ 6 = 168.33 toys per day

    c) Next week (20% increase) = 1,010 × 1.2 = 1,212 toys

END OF ANSWERS