Home Past papers Mathematics P4 Mathematics CA2 2023 — Anglo Chinese
P4 Mathematics CA2 2023 — Anglo Chinese
P4
Mathematics
2023
CA2
13 questions
25 marks
Source: Anglo Chinese, 2023
This P4 Mathematics CA2 paper from Anglo Chinese (2023) covers geometry and angles, money and measurement across 13 questions worth 25 marks. Practise Mathematics the way it's tested at P4 level in Singapore, with step-by-step answers on LearnBuddy.
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Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13
Q1
MCQ
1 mark
🖼 Visual
Visual context
A quadrilateral ABCD with vertices labelled A on the left, D at the top, C on the right, and B at the bottom. Small arcs mark the interior angle at each vertex. Angle DCB at vertex C is visibly the largest and appears obtuse.
In the figure below, which angle is greater than a right angle?
A. ∠ABC
B. ∠BAD
C. ∠CDA
D. ∠DCB
Explanation
In the quadrilateral ABCD shown, angle DCB at vertex C appears clearly obtuse (greater than 90°), while ABC, BAD and CDA are acute or right. The answer key marks option 4 (∠DCB) as correct.
Q2
MCQ
1 mark
🖼 Visual
Visual context
Four figures shown as MCQ options: (1) a chevron/arrow-like polygon pointing right, (2) a regular pentagon, (3) a wavy flag-shaped figure with curved top and bottom edges, (4) an irregular quadrilateral resembling a slanted rectangle/trapezium.
Which of the following figures is a symmetric figure?
A. An arrow-shaped/chevron polygon
B. A regular pentagon
C. A wavy flag-shaped figure
D. An irregular quadrilateral (trapezium-like)
Explanation
A regular pentagon has 5 lines of symmetry. The other figures shown (chevron arrow, wavy flag, irregular quadrilateral) have no line of symmetry. The answer key marks option 2 as correct.
Q3
MCQ
1 mark
🖼 Visual
Visual context
A square KLMN with K at top-left, L at top-right, M at bottom-right, N at bottom-left. From vertex M, two straight lines go up into the square dividing the 90° corner angle into three parts: 31° next to NM, ∠e in the middle, and 23° next to ML.
The figure below is not drawn to scale. KLMN is a square. Find ∠e.
A. 36°
B. 46°
C. 59°
D. 67°
Explanation
Inside square KLMN, the angle at vertex M (∠NML) is 90°. Two lines from M divide this 90° angle into three parts: 31° (closest to NM), ∠e (middle), and 23° (closest to ML). So ∠e = 90° − 31° − 23° = 36°.
Q4
MCQ
2 marks
🖼 Visual
Visual context
A compass rose showing the four cardinal directions with N (north) labelled at the top of a vertical arrow and a horizontal cross-arm indicating E and W.
John is facing south-west. When he turns through an angle of ____ in an anti-clockwise direction, he will be facing east.
A. 45°
B. 90°
C. 135°
D. 225°
Explanation
Starting from south-west, turning anti-clockwise: 45° reaches south, 90° reaches south-east, 135° reaches east. So John turns 135° anti-clockwise.
Q5
MCQ
2 marks
🖼 Visual
Visual context
A composite figure: on the top row, square B (5 cm by 5 cm) sits on the left next to rectangle A (5 cm tall). The combined top-row length from the left edge of B to the right edge of A is 14 cm. Below the right end of A are two identical squares each 4 cm by 4 cm, side by side. Vertical labels indicate 5 cm for the top row height and 4 cm for the bottom squares.
The figure below is made up of 2 identical squares of side 4 cm, a rectangle A with breadth 5 cm and a square B. Find the length of rectangle A.
A. 9 cm
B. 17 cm
C. 18 cm
D. 22 cm
Explanation
Total horizontal length along the top (B + A) = 14 cm. Square B has side 5 cm (equal to breadth of A). Length of rectangle A = 14 − 5 = 9 cm.
Q6
Open-ended
1 mark
🖼 Visual
Visual context
An angle formed by two line segments meeting at vertex Y at the top. Segment YX extends down-left to point X, and segment YZ extends down-right to point Z, with the angle XYZ marked at vertex Y.
Use a protractor to measure ∠XYZ.
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Q7
Open-ended
1 mark
🖼 Visual
Visual context
A 5-by-5 grid with a dashed diagonal line AB running from the top-left corner A down to the bottom-right corner B. Several cells are shaded black on either side of the diagonal in an asymmetric pattern.
In the figure below, what is the least number of squares that must be added so that AB is the line of symmetry for the figure.
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Q8
Open-ended
1 mark
🖼 Visual
Visual context
A square dotted grid with two sides of a rectangle already drawn: one long line slanting from a point near the middle-left of the grid up to a point near the top, and a shorter line from that middle-left point going down to the right. The two remaining sides need to be drawn to complete the rectangle.
In the square grid below, two sides of a rectangle have been drawn. Complete the drawing of the rectangle within the grid with the given lines.
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Q9
Open-ended
2 marks
🖼 Visual
Visual context
At vertex F, three rays emanate to form a right angle EFG (E upward, G to the right). The right angle is divided into three parts by two interior rays: ∠p closest to FE at the top, a middle angle marked 48°, and ∠q closest to FG at the bottom.
The figure below is not drawn to scale. EF is perpendicular FG and ∠p = ∠q. Find ∠p.
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Q10
Open-ended
2 marks
🖼 Visual
Visual context
A 5-by-5 square grid with a compass marker showing N pointing up to the right of the grid. Five labelled points on grid intersections: V near top-middle, T on the left side, W on the right side, Y in the middle, and X near the bottom-left. Scale shown as '1 step' for both horizontal and vertical grid spacing.
Study the diagram below. Perry was at a certain position. He walked 2 steps due north, 1 step due east, 4 steps due south and then 3 steps due west. He ended at Position X. What was his starting position?
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Q11
Structured
3 marks
Mr Lim had 528 mangoes. He sold all the mangoes at 6 for $14. How much money did he receive?
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Q12
Structured
4 marks
Mrs Tan baked three times as many banana muffins as chocolate muffins. After she gave away 16 chocolate muffins, there were 5 times as many banana muffins as chocolate muffins. How many chocolate muffins did she bake at first?
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Q13
Structured
4 marks
Rina had 5 times as many red beads as blue beads at first. She then gave away 36 red beads and bought another 36 blue beads. She had the same number of red beads and blue beads in the end. How many red beads did she have in the end?
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