IGCSE Mathematics - International (0607) — May–June 2023, Paper 53

7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

Start with Question 1 →
Question 1 · 2 marks

The first square has area 1. Find the area of each square in the diagram (a 1×1, a 2×2 and a 3×3 square are shown). Write your answer inside each square.

Answer this question and get it marked →
Question 2 · 4 marks

Show that the area of this triangle (a right-angled triangle with the two perpendicular sides drawn on the grid, base 2 and height 5) is 5.

Answer this question and get it marked →
Question 3 · 5 marks

Give a reason why OPQR is a rhombus.

Answer this question and get it marked →
Question 4 · 4 marks

The diagram shows another rhombus OPQR (with P at (3, 2) and Q at (5, 5)). Use the method of Question 3(b) to find its area.

Answer this question and get it marked →
Question 5 · 5 marks

On the diagram (with P at (4, 1) and R at (1, 4)), complete the rhombus OPQR.

Answer this question and get it marked →
Question 6 · 8 marks

Throughout this investigation, O is the origin, and the x-coordinate and the y-coordinate of Q are always equal. Complete the table using your answers to Question 4 and Question 5…

Answer this question and get it marked →
Question 7 · 8 marks

Use the table in Question 6 to write down the coordinates of Q in terms of a and b.

Answer this question and get it marked →

← May–June 2023 Paper 61 · May–June 2023 Paper 52 →

← All IGCSE Mathematics - International (0607) past papers