IGCSE Mathematics - International (0607) — May–June 2023, Paper 63

Find the area of the rectangle (a 2 by 2 rectangle drawn on the grid). Write your answer inside the rectangle.

Find the area of each right-angled triangle (two right-angled triangles drawn on the grid). Write your answer inside each triangle.

Throughout the rest of this task vertices are labelled anticlockwise starting at O(0, 0). A method to find the area of parallelogram OPQR: Step 1 draw a rectangle around the…

Use the method of Question 3 to find the area of parallelogram OPQR (with P(3, 4), Q(-1, 3) and R(-4, -1)).

On the diagram (with P(5, 2) and R(-2, 2)), complete parallelogram OPQR.

Complete the table using your answers to Question 4 and Question 5 and any patterns you notice. Columns: P(a,b), Q, R(c,d), ad, bc, Area of parallelogram OPQR. Given: Q3 row…

In parallelogram OPQR, O is (0, 0) and P is (5, 2). The coordinates of Q and R are positive integers. The area of the parallelogram is 12. Use your answers to Question 6(b) to…

Draw a sketch showing that two congruent triangles make a parallelogram.

Complete the retention at the end of day d as a power of 2. The retention is 1 at the start, 1/2 at end of day 1, 1/4 at day 2, 1/8 at day 3, 1/16 at day 4. Retention at the end…

On the grid sketch the graphs of R for p = 1 and p = 5.

At the start, p = 1. Write down why p = 5 after 4 days.

Complete the table by changing the time to hours. (The missing value is the time for point T, 20 minutes, in hours.)