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Primary 6 PSLE Mathematics Geometry Quiz

Free P6 PSLE Maths Geometry quiz, Ox AI version, with questions, answers, and PSLE-focused practice for Singapore students.

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Primary 6 PSLE Mathematics AI Generated Generated by Ox Alpha Updated 2026-08-27

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Questions

Primary 6 PSLE Mathematics Quiz - Geometry

TuitionGoWhere Practice Quiz (AI) - Version 1 of 5

Name: ______________________ Class: ____________ Date: ____________ Score: ________ / 53

Duration: 70 minutes | Total Marks: 53

Instructions:

Answer all 20 questions. Show your working clearly in the space provided.
Include units in your final answers.
Take $\pi = 3.14$ throughout this quiz.
Marks for each question are shown in brackets ( ).
Note: This is syllabus-aligned practice material for revision. It is not extracted from any actual past-year examination paper.

Section A: Short Answer (Questions 1-5) - 1 mark each

Question 1.

A circle has a radius of $7$ cm. Using $\pi = 3.14$ , find its circumference. [1]

Ans: ______________________

Question 2.

A circle has a diameter of $12$ cm. Using $\pi = 3.14$ , find its area. [1]

Ans: ______________________

Question 3.

Find the volume of a cube of edge $5$ cm. [1]

Ans: ______________________

Question 4.

PQRS is a parallelogram with $\angle P = 75^\circ$ . Find $\angle Q$ . [1]

Ans: ______________________

Question 5.

A cuboid has a volume of $240 \text{ cm}^3$ . Its length is $8$ cm and its breadth is $5$ cm. Find its height. [1]

Ans: ______________________

Section B: Short Answer (Questions 6-15) - 2 marks each

Question 6.

A semicircle has a diameter of $14$ cm. Using $\pi = 3.14$ , find its perimeter. [2]

Ans: ______________________

Question 7.

A quadrant of a circle has a radius of $10$ cm. Using $\pi = 3.14$ , find its area. [2]

Ans: ______________________

Question 8.

Two angles of a triangle are $42^\circ$ and $67^\circ$ . Find the third angle. [2]

Ans: ______________________

Question 9.

Two concentric circles have radii $6$ cm and $3$ cm. Using $\pi = 3.14$ , find the area of the ring between them. [2]

Ans: ______________________

Question 10.

An empty rectangular tank measures $30$ cm by $20$ cm by $15$ cm. Find its capacity in litres. ( $1000 \text{ cm}^3 = 1 \ell$ ) [2]

Ans: ______________________

Question 11.

A parallelogram has a base of $12$ cm and a perpendicular height of $7$ cm. Find its area. [2]

Ans: ______________________

Question 12.

An isosceles triangle has an apex angle of $40^\circ$ . Find each of its base angles. [2]

Ans: ______________________

Question 13.

Find the total surface area of a cube of edge $4$ cm. [2]

Ans: ______________________

Question 14.

The circumference of a circle is $62.8$ cm. Using $\pi = 3.14$ , find its radius. [2]

Ans: ______________________

Question 15.

A rectangle measures $20$ cm by $12$ cm. A semicircle of diameter $12$ cm is cut out from it. Using $\pi = 3.14$ , find the area of the remaining figure. [2]

Ans: ______________________

Section C: Word Problems (Questions 16-20) - 28 marks

Question 16.

A circular garden has a radius of $15$ m. A fence is built around it at a cost of $\$ 12 $per metre. Using$ \pi = 3.14$, find the total cost of the fence. [4]

Ans: ______________________

Question 17.

An open rectangular tank measures $40$ cm by $30$ cm by $25$ cm. (a) Find the volume of the tank in $\text{cm}^3$ . [2] (b) The tank is filled with water to $60\%$ of its capacity. How many litres of water are in the tank? ( $1000 \text{ cm}^3 = 1 \ell$ ) [3]

Ans: ______________________

Question 18.

Square ABCD has sides of $14$ cm. A semicircle with diameter equal to one side of the square is drawn inside the square. Using $\pi = 3.14$ , find the area of the shaded region outside the semicircle but inside the square. [5]

Ans: ______________________

Question 19.

A rectangular tank measuring $50$ cm by $40$ cm by $45$ cm contains water to a depth of $18$ cm. A metal cube of edge $20$ cm is placed into the tank and sinks completely. Find the new depth of the water in the tank. [7]

Ans: ______________________

Question 20.

A running track is formed from a rectangle $100$ m long and $60$ m wide, with a semicircle attached to each of the two shorter ends. (a) Using $\pi = 3.14$ , find the perimeter of the track. [3] (b) Find the total area enclosed by the track. [4]

Ans: ______________________

End of Quiz

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Answers

Primary 6 PSLE Mathematics Quiz - Geometry: Answer Key

Total Marks: 53

Answer 1.

Circumference $= 2 \times 3.14 \times 7 = \mathbf{43.96 \text{ cm}}$ [1]

Answer 2.

Radius $= 12 \div 2 = 6$ cm; Area $= 3.14 \times 6 \times 6 = \mathbf{113.04 \text{ cm}^2}$ [1]

Answer 3.

Volume $= 5 \times 5 \times 5 = \mathbf{125 \text{ cm}^3}$ [1]

Answer 4.

$\angle Q = 180^\circ - 75^\circ = \mathbf{105^\circ}$ (adjacent angles of a parallelogram are supplementary) [1]

Answer 5.

Height $= 240 \div (8 \times 5) = 240 \div 40 = \mathbf{6 \text{ cm}}$ [1]

Answer 6.

Perimeter $= (3.14 \times 14 \div 2) + 14 = 21.98 + 14 = \mathbf{35.98 \text{ cm}}$ [2]

M1: half-circumference plus diameter
A1: $35.98$ cm

Answer 7.

Area $= \frac{1}{4} \times 3.14 \times 10 \times 10 = \mathbf{78.5 \text{ cm}^2}$ [2]

M1: quarter of circle area
A1: $78.5 \text{ cm}^2$

Answer 8.

Third angle $= 180^\circ - 42^\circ - 67^\circ = \mathbf{71^\circ}$ [2]

M1: angle sum of triangle is $180^\circ$
A1: $71^\circ$

Answer 9.

Area $= 3.14 \times (6^2 - 3^2) = 3.14 \times 27 = \mathbf{84.78 \text{ cm}^2}$ [2]

M1: subtract inner area from outer area
A1: $84.78 \text{ cm}^2$

Answer 10.

Volume $= 30 \times 20 \times 15 = 9000 \text{ cm}^3 = \mathbf{9 \text{ litres}}$ [2]

M1: volume in $\text{cm}^3$
A1: $9 \ell$

Answer 11.

Area $= 12 \times 7 = \mathbf{84 \text{ cm}^2}$ [2]

M1: base times perpendicular height
A1: $84 \text{ cm}^2$

Answer 12.

Each base angle $= (180^\circ - 40^\circ) \div 2 = \mathbf{70^\circ}$ [2]

M1: subtract apex angle, divide by two equal base angles
A1: $70^\circ$ each

Answer 13.

Surface area $= 6 \times 4 \times 4 = \mathbf{96 \text{ cm}^2}$ [2]

M1: six equal square faces
A1: $96 \text{ cm}^2$

Answer 14.

Radius $= 62.8 \div (2 \times 3.14) = 62.8 \div 6.28 = \mathbf{10 \text{ cm}}$ [2]

M1: rearrange circumference formula
A1: $10$ cm

Answer 15.

Rectangle $= 20 \times 12 = 240$ ; Semicircle $= \frac{1}{2} \times 3.14 \times 6 \times 6 = 56.52$ ; Remaining area $= 240 - 56.52 = \mathbf{183.48 \text{ cm}^2}$ [2]

M1: rectangle minus semicircle
A1: $183.48 \text{ cm}^2$

Answer 16.

Circumference $= 2 \times 3.14 \times 15 = 94.2$ m; Cost $= 94.2 \times 12 = \mathbf{\$ 1130.40}$ [4]

M1: correct circumference formula
A1: $94.2$ m
M1: multiply by rate
A1: $\$ 1130.40$

Answer 17.

(a) Volume $= 40 \times 30 \times 25 = \mathbf{30000 \text{ cm}^3}$ [2] (b) $60\%$ of $30000 = 18000 \text{ cm}^3 = \mathbf{18 \text{ litres}}$ [3]

(a) M1: multiply dimensions; A1: $30000 \text{ cm}^3$
(b) M1: find $60\%$ ; M1: convert using $1000 \text{ cm}^3 = 1 \ell$ ; A1: $18 \ell$

Answer 18.

Area of square $= 14 \times 14 = 196 \text{ cm}^2$ ; Radius of semicircle $= 7$ cm; Area of semicircle $= \frac{1}{2} \times 3.14 \times 7 \times 7 = 76.93 \text{ cm}^2$ ; Shaded area $= 196 - 76.93 = \mathbf{119.07 \text{ cm}^2}$ [5]

M1: area of square
M1: identify radius as half the side
M1: area of semicircle
A1: $76.93 \text{ cm}^2$
A1: $119.07 \text{ cm}^2$

Answer 19.

Base area of tank $= 50 \times 40 = 2000 \text{ cm}^2$ ; Volume of cube $= 20 \times 20 \times 20 = 8000 \text{ cm}^3$ ; Water level rise $= 8000 \div 2000 = 4$ cm; New depth $= 18 + 4 = \mathbf{22 \text{ cm}}$ [7]

M1: base area
M1: cube volume
M1: divide to find rise
A1: rise $= 4$ cm
M1: add original depth
A1: $22$ cm
A1: correct units throughout

Answer 20.

(a) Two straight sections $= 2 \times 100 = 200$ m; Two semicircles $=$ one full circle of diameter $60$ m: $3.14 \times 60 = 188.4$ m; Perimeter $= 200 + 188.4 = \mathbf{388.4 \text{ m}}$ [3] (b) Rectangle $= 100 \times 60 = 6000 \text{ m}^2$ ; Circle $= 3.14 \times 30 \times 30 = 2826 \text{ m}^2$ ; Total area $= 6000 + 2826 = \mathbf{8826 \text{ m}^2}$ [4]

(a) M1: recognise two semicircles form one circle; A1: $188.4$ m; A1: $388.4$ m
(b) M1: rectangle area; M1: circle area with radius $30$ m; A1: $2826 \text{ m}^2$ ; A1: $8826 \text{ m}^2$

End of Answer Key