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Primary 4 Mathematics Geometry Quiz
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Questions
Primary 4 Mathematics Quiz - Geometry
Name: ___________________________
Class: Primary 4 _______
Date: _______________
Score: ______ / 40
Duration: 45 minutes
Total Marks: 40
Instructions:
- Answer all questions.
- Write your answers in the spaces provided.
- For multiple-choice questions, write the letter (A, B, C, or D) in the bracket provided.
- Show your working clearly for questions in Section B and Section C.
- Diagrams are not drawn to scale unless stated otherwise.
Section A: Multiple-Choice Questions (10 × 1 mark = 10 marks)
For each question, choose the correct answer and write its letter in the bracket provided.
1. Which of the following angles is an acute angle?
A. 90°
B. 120°
C. 45°
D. 180°
[_____]
2. How many right angles are there in a straight angle?
A. 1
B. 2
C. 3
D. 4
[_____]
3. In the figure below, which angle is an obtuse angle?
<image_placeholder> id: Q3-fig1 type: diagram linked_question: Q3 description: Four angles labelled A, B, C, D drawn from a common vertex. Angle A = 30°, Angle B = 90°, Angle C = 135°, Angle D = 180°. labels: A, B, C, D values: Angle A = 30°, Angle B = 90°, Angle C = 135°, Angle D = 180° must_show: Four rays from a common point with angle measures labelled </image_placeholder>
A. Angle A
B. Angle B
C. Angle C
D. Angle D
[_____]
4. Which of the following figures has exactly 2 lines of symmetry?
A. Equilateral triangle
B. Square
C. Rectangle
D. Circle
[_____]
5. The figure below is a net of a 3D solid. Which solid can be formed from this net?
<image_placeholder> id: Q5-fig1 type: diagram linked_question: Q5 description: Net consisting of 6 identical squares arranged in a cross shape (1 square in centre, 4 squares attached to each side, 1 square attached to the top of the upper square). labels: None values: All squares are congruent must_show: Cross-shaped net of 6 squares </image_placeholder>
A. Cube
B. Cuboid
C. Square-based pyramid
D. Triangular prism
[_____]
6. In the figure below, AB is a straight line. Find the value of ∠x.
<image_placeholder> id: Q6-fig1 type: diagram linked_question: Q6 description: A straight line AB with a ray OC meeting it at point O. Angle AOC = 65°. Angle COB = x°. labels: A, O, B, C, x values: ∠AOC = 65° must_show: Straight line AB with ray OC, angle AOC marked 65°, angle COB marked x° </image_placeholder>
A. 115°
B. 125°
C. 65°
D. 25°
[_____]
7. Which of the following letters has a vertical line of symmetry?
A. F
B. G
C. H
D. J
[_____]
8. A rectangle has a length of 12 cm and a breadth of 8 cm. How many lines of symmetry does it have?
A. 1
B. 2
C. 3
D. 4
[_____]
9. The figure below shows a protractor measuring an angle. What is the size of the angle?
<image_placeholder> id: Q9-fig1 type: diagram linked_question: Q9 description: Protractor with baseline along 0° to 180°. One ray along 0° line, second ray crossing at 75° mark. labels: 0°, 75°, 180° values: Angle measured = 75° must_show: Protractor showing angle of 75° </image_placeholder>
A. 75°
B. 105°
C. 15°
D. 165°
[_____]
10. Which of the following nets cannot form a cube?
<image_placeholder> id: Q10-fig1 type: diagram linked_question: Q10 description: Four nets shown: (A) Cross shape of 6 squares, (B) T-shape of 6 squares, (C) 6 squares in a straight line, (D) Staircase shape of 6 squares. labels: A, B, C, D values: All squares congruent must_show: Four distinct nets of 6 squares each </image_placeholder>
A. Net A
B. Net B
C. Net C
D. Net D
[_____]
Section B: Short Answer Questions (10 × 2 marks = 20 marks)
Show your working clearly in the space provided.
11. Measure and write down the size of ∠ABC in the figure below.
<image_placeholder> id: Q11-fig1 type: diagram linked_question: Q11 description: Angle ABC with vertex B. Ray BA pointing up-left, ray BC pointing right. Protractor aligned with ray BC at 0°, ray BA crossing at 120°. labels: A, B, C values: ∠ABC = 120° must_show: Angle with protractor showing 120° </image_placeholder>
Answer: __________°
12. Draw an angle of 135° using the line PQ given below. Label the angle ∠RPQ.
<image_placeholder> id: Q12-fig1 type: diagram linked_question: Q12 description: Horizontal line PQ with point P on the left, Q on the right. Space above the line for drawing. labels: P, Q values: Line PQ horizontal must_show: Horizontal line PQ with space above for angle construction </image_placeholder>
13. In the figure below, AB and CD are straight lines intersecting at point O. Find ∠AOC.
<image_placeholder> id: Q13-fig1 type: diagram linked_question: Q13 description: Two intersecting lines AB and CD crossing at O. Angle BOD = 40° marked. Angle AOC is vertically opposite to BOD. labels: A, B, C, D, O values: ∠BOD = 40° must_show: Intersecting lines with ∠BOD = 40° marked </image_placeholder>
Answer: __________°
14. The figure below shows a square. Draw all its lines of symmetry.
<image_placeholder> id: Q14-fig1 type: diagram linked_question: Q14 description: Square with vertices labelled W, X, Y, Z clockwise from top-left. labels: W, X, Y, Z values: Square of side 4 cm must_show: Square with vertices labelled </image_placeholder>
15. Complete the symmetric figure below using the dotted line as the line of symmetry.
<image_placeholder> id: Q15-fig1 type: diagram linked_question: Q15 description: Half of a symmetric shape on left side of vertical dotted line. Shape: L-shape made of 3 unit squares (2 vertical, 1 horizontal at bottom). Dotted vertical line is the line of symmetry. labels: Line of symmetry values: Unit squares must_show: Half shape on left of vertical dotted line </image_placeholder>
16. Name the solid that can be formed from the net shown below.
<image_placeholder> id: Q16-fig1 type: diagram linked_question: Q16 description: Net of a square-based pyramid: 1 square in centre, 4 triangles attached to each side of the square. labels: None values: Square base, 4 congruent isosceles triangles must_show: Net of square-based pyramid </image_placeholder>
Answer: _________________________
17. How many faces, edges, and vertices does a cuboid have?
Faces: ________
Edges: ________
Vertices: ________
18. In the figure below, find the value of ∠y.
<image_placeholder> id: Q18-fig1 type: diagram linked_question: Q18 description: A straight line with two rays from a point on the line. Angles marked: 50°, y°, 70° (sum = 180° on straight line). labels: y values: 50°, 70° must_show: Straight line with three angles summing to 180° </image_placeholder>
Answer: __________°
19. The figure below shows a regular hexagon. How many lines of symmetry does it have?
<image_placeholder> id: Q19-fig1 type: diagram linked_question: Q19 description: Regular hexagon with vertices labelled. labels: Vertices A-F values: Regular hexagon must_show: Regular hexagon </image_placeholder>
Answer: __________
20. Which of the following is a net of a triangular prism? Tick (✓) the correct net.
<image_placeholder> id: Q20-fig1 type: diagram linked_question: Q20 description: Three nets shown: (A) 2 triangles + 3 rectangles, (B) 4 triangles + 1 rectangle, (C) 6 squares. labels: A, B, C values: Net A: 2 triangles, 3 rectangles; Net B: 4 triangles, 1 rectangle; Net C: 6 squares must_show: Three distinct nets labelled A, B, C </image_placeholder>
Answer: Net ________
End of Quiz
Answers
Primary 4 Mathematics Quiz - Geometry (Answer Key)
Total Marks: 40
Section A: Multiple-Choice Questions (10 × 1 mark = 10 marks)
1. C
Explanation: An acute angle is an angle less than 90°. Among the options, only 45° is less than 90°.
- 90° is a right angle.
- 120° is an obtuse angle (between 90° and 180°).
- 180° is a straight angle.
2. B
Explanation: A straight angle measures 180°. A right angle measures 90°.
180° ÷ 90° = 2 right angles.
3. C
Explanation: An obtuse angle is between 90° and 180°.
- Angle A = 30° (acute)
- Angle B = 90° (right angle)
- Angle C = 135° (obtuse) ✓
- Angle D = 180° (straight angle)
4. C
Explanation:
- Equilateral triangle: 3 lines of symmetry
- Square: 4 lines of symmetry
- Rectangle: 2 lines of symmetry (vertical and horizontal) ✓
- Circle: Infinite lines of symmetry
5. A
Explanation: A cross-shaped net of 6 identical squares forms a cube. All 6 faces are squares of the same size.
6. A
Explanation: AB is a straight line, so ∠AOB = 180°.
∠AOC + ∠COB = 180° (angles on a straight line)
65° + ∠x = 180°
∠x = 180° - 65° = 115°
7. C
Explanation: The letter H has a vertical line of symmetry (divides into mirror-image left and right halves).
- F: No line of symmetry
- G: No line of symmetry
- H: Vertical line of symmetry ✓
- J: No line of symmetry
8. B
Explanation: A rectangle has 2 lines of symmetry: one vertical (through midpoints of longer sides) and one horizontal (through midpoints of shorter sides). The dimensions (12 cm × 8 cm) do not change this property.
9. A
Explanation: The protractor shows one ray at 0° and the other ray at 75°. The angle measured is 75°.
Common mistake: Reading the outer scale (180° - 75° = 105°) instead of the inner scale.
10. C
Explanation: A cube net must have 6 squares that can fold into a closed cube.
- Net A (cross): Valid cube net
- Net B (T-shape): Valid cube net
- Net C (6 squares in a straight line): Cannot fold into a cube (would form an open tube) ✓
- Net D (staircase): Valid cube net
Section B: Short Answer Questions (10 × 2 marks = 20 marks)
11. 120°
Explanation: Using the protractor, align the baseline with ray BC (0°). Ray BA crosses at 120° on the inner scale. The angle ∠ABC = 120°.
Marking: 2 marks for correct answer (120°). 1 mark if answer is 60° (reading wrong scale).
12. [Diagram required]
Steps to draw:
- Place protractor centre at point P, baseline along PQ.
- Mark a point R at 135° on the protractor (using outer scale since angle opens upward from PQ).
- Remove protractor and draw ray PR.
- Label the angle ∠RPQ.
Marking: 1 mark for correct angle (135° ± 2°), 1 mark for correct labelling (∠RPQ).
13. 40°
Explanation: AB and CD are straight lines intersecting at O. ∠AOC and ∠BOD are vertically opposite angles. Vertically opposite angles are equal.
∠AOC = ∠BOD = 40°
Marking: 2 marks for correct answer with reason (vertically opposite angles). 1 mark for answer only.
14. [Diagram required]
Answer: A square has 4 lines of symmetry:
- 2 lines through midpoints of opposite sides (vertical and horizontal)
- 2 diagonals (corner to corner)
Marking: 1 mark for each correct line of symmetry drawn (max 2 marks). Lines must be straight and accurately placed.
15. [Diagram required]
Answer: Reflect the L-shape across the vertical dotted line. The completed shape will be symmetric, forming a shape like a wide "U" or a rectangle with a notch.
Marking: 2 marks for accurate reflection (all squares correctly placed). 1 mark for partially correct reflection.
16. Square-based pyramid
Explanation: The net consists of 1 square (base) and 4 triangles (lateral faces). This is the net of a square-based pyramid.
Marking: 2 marks for correct name. Accept "square pyramid".
17. Faces: 6, Edges: 12, Vertices: 8
Explanation: A cuboid has 6 rectangular faces, 12 edges, and 8 vertices. This is a standard property of cuboids (and cubes).
Marking: 1 mark each for correct faces, edges, vertices (total 2 marks for all three correct; 1 mark if two correct).
18. 60°
Explanation: The three angles lie on a straight line, so they sum to 180°.
50° + y° + 70° = 180°
120° + y° = 180°
y° = 180° - 120° = 60°
Marking: 1 mark for equation/setup, 1 mark for correct answer.
19. 6
Explanation: A regular hexagon has 6 lines of symmetry: 3 through opposite vertices and 3 through midpoints of opposite sides. For any regular polygon, the number of lines of symmetry equals the number of sides.
Marking: 2 marks for correct answer (6). 1 mark for answer 3 or 12 (common misconceptions).
20. Net A
Explanation: A triangular prism has 2 triangular faces and 3 rectangular faces.
- Net A: 2 triangles + 3 rectangles ✓ (correct)
- Net B: 4 triangles + 1 rectangle (incorrect)
- Net C: 6 squares (net of a cube)
Marking: 2 marks for correct choice (Net A).
End of Answer Key