IGCSE Mathematics (0580) — May–June 2024, Paper 43

In 2023 a football club had 50 adult members and 70 child members. The membership fee for an adult was $40 and the membership fee for a child was $15. Calculate the total of the…

The nth term of a sequence is 120 - n^3. Find the 4th term of this sequence.

Rahul rolls a dice 60 times. The results are shown in the table. Score 1 2 3 4 5 6 --- --- --- --- --- --- --- Frequency 10 6 11 13 14 6 Find the mode, the median and the mean.

In this question all the measurements are in centimetres. The diagram shows a triangle with sides (r + 2) and (r + 5) and an included angle of 30°, and a square of side (r + 1)…

The diagram shows the graph of y = f(x) for values of x from -3 to 3. Use the graph to find f(2).

The diagram shows a ladder, GH, on horizontal ground, leaning against a vertical wall, HF (NOT TO SCALE). GF = 1.5 m and HF = 4 m. Calculate the length of the ladder, GH.

A car travels 50 km at an average speed of 75 km/h. Find the time taken. Give your answer in minutes.

The diagram shows a solid made from a cylinder and a cone (NOT TO SCALE). The height of the cylinder is 16 cm and the height of the cone is 1.5 cm. The radius of the cylinder and…

The diagram shows 7 cards spelling N A M I B I A. Amir picks a card at random. Find the probability that the card shows the letter H.

y = x^7 - 7x^6. Find the derivative of y with respect to x.

In the circle, centre O, the length of the minor arc PQ is 3/7 of the length of the major arc PQ (NOT TO SCALE). The angle of the minor sector at O is x°. Show that x = 108.