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) contains 14 questions worth 26 marks. Use it as a study reference for Mathematics topics typically tested at P4 level in Singapore schools.

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).

P4 Mathematics CA2 2023 — Pei Hwa

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