P4 Mathematics CA2 2023 — Pei Hwa

Q: Figures P, Q, R and S are each made up of 8 identical triangles that form 4 squares. Which of these figures has only 2 lines of symmetry?

P. Figure P has a horizontal line of symmetry and a vertical line of symmetry, totaling 2 lines of symmetry. Figures Q and R have 4 lines of symmetry (horizontal, vertical, and both diagonals). Figure S has no lines of symmetry. Therefore, only Figure P has exactly 2 lines of symmetry.

Q: Which of the following is another way to name ∠a?

∠STU. Angle 'a' is clearly marked at vertex T, formed by the line segments ST and UT. Therefore, ∠a can be named as ∠UTS or ∠STU. Option (3) ∠STU is equivalent to ∠UTS. (Note: The provided answer key indicates option (2) ∠RST, which refers to an angle at vertex S, not T. Based on the visual representation, (3) is the correct answer for ∠a.)

Q: Which of the following statements are true about a square? A. It has 4 right angles. B. It has 2 pairs of parallel lines. C. Its opposite sides are equal.

A, B and C. A square is a quadrilateral with four equal sides and four right angles. Its opposite sides are parallel. Therefore, all three statements (A, B, and C) are true.

Q: Tristan was standing at point P, facing South. He made an anti-clockwise turn and faced North-West. How many degrees did he turn?

225°. Starting from facing South, an anti-clockwise turn to East is 90°. An anti-clockwise turn from East to North is another 90° (total 180°). An anti-clockwise turn from North to North-West is 45° (half of the 90° quadrant between North and West). So, the total anti-clockwise turn is 90° + 90° + 45° = 225°.

Q: Figure AEFD is made up of rectangle P and square Q. Which side has the same length as EF?

AD. The overall figure AEFD is a rectangle. It is composed of rectangle P (ABCD) on the left and square Q (BCEF) on the right. Side EF is the rightmost vertical side of the large rectangle AEFD. In a rectangle, opposite sides are equal in length. Therefore, EF has the same length as AD (the leftmost vertical side).

Q: Four letters T, H, N, S are shown on a square grid. How many of these letters have more than 1 line of symmetry?

1. Letter T has 1 vertical line of symmetry. Letter H has 1 vertical and 1 horizontal line of symmetry (total 2 lines). Letter N has no lines of symmetry. Letter S has no lines of symmetry. Only letter H has more than 1 line of symmetry (it has 2). Therefore, the answer is 1 letter.

P4 Mathematics 2023 CA2 14 questions 26 marks

Source: Pei Hwa, 2023

This P4 Mathematics CA2 paper from Pei Hwa (2023) covers geometry and angles and measurement across 14 questions worth 26 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 MCQ 2 marks 🖼 Visual

Figures P, Q, R and S are each made up of 8 identical triangles that form 4 squares. Which of these figures has only 2 lines of symmetry?

Q2 MCQ 2 marks 🖼 Visual

Which of the following is another way to name ∠a?

Q3 MCQ 2 marks

Which of the following statements are true about a square? A. It has 4 right angles. B. It has 2 pairs of parallel lines. C. Its opposite sides are equal.

Q4 MCQ 2 marks 🖼 Visual

Tristan was standing at point P, facing South. He made an anti-clockwise turn and faced North-West. How many degrees did he turn?

Q5 MCQ 2 marks 🖼 Visual

Figure AEFD is made up of rectangle P and square Q. Which side has the same length as EF?

Q6 MCQ 2 marks 🖼 Visual

Four letters T, H, N, S are shown on a square grid. How many of these letters have more than 1 line of symmetry?

Q7 Open-ended 2 marks 🖼 Visual

Name two angles that measure 40°.

Q8 Structured 2 marks 🖼 Visual

PQRS is a rectangle. a) Measure and write down the size of ∠a. b) Find ∠b.

Q9 Open-ended 🖼 Visual

AB is the line of symmetry for a symmetric figure. Complete the symmetric figure below.

Q10 Structured 🖼 Visual

The square grid shows line CD and points E, F, G, H, I, J, K, L and M. a) Which point E, F, G or H when joined to C forms an angle of 75°? Draw the line to the correct point in the square grid above. b) Which point L, K, J, or M when joined to D forms an angle of 135°? Draw the line to the correct point in the square grid above.

Q11 Open-ended 2 marks 🖼 Visual

JN is the line of symmetry for a symmetric figure below. Complete the symmetric figure by shading 2 more squares.

Q12 Open-ended 2 marks 🖼 Visual

A rectangular piece of paper is folded twice in the exact same way as shown in the diagram below. Find ∠a.

Q13 Structured 2 marks 🖼 Visual

Some of the places in a school are shown in the square grid. In the square grid, a) ____ is north-west of Koi pond, b) Foyer is south-east of ____

Q14 Structured 4 marks 🖼 Visual

The square grid shows a figure NOPQ and line NR. a) Each of the statements below is either true or false. For each statement, put a tick (✔) to indicate your answer. - NOPQ has only 1 pair of parallel lines. - NOPQ has 4 equal sides. - NOPQ is a square. b) PS and RS are sides of a 4-sided figure PQRS. PQ = RS. QR = PS. Complete figure PQRS on Page 8 by drawing 2 more lines. Use a pencil to draw the figure and label 'S' clearly. c) From the figure drawn in (b), circle the words that describe PQRS in the statement. - PQ (is/is not) parallel to RS, - QR (is/is not) parallel to PS. - Since PS and RS are (equal / not equal) sides, PQRS is a (square / rectangle).

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