IGCSE Mathematics - International (0607) — October–November 2024, Paper 41

Solve the equation. 6x + 5 = −19

Younous wants to calculate 78.8/2.46² + (153 + 9.81²)/√9.47. He finds an estimate for the answer by rounding each number correct to 1 significant figure. Find this estimate. You…

Paulo compares the fuel consumption of his car and the average speed of his car for ten journeys. The results are shown in the table. Average speed (x kilometres per hour) 48 56…

Alan, Beth and Imran share an amount of money in the ratio 3x : 2x : (x + 1) where x is an integer. Find the amount Beth receives when x = 4 and they share $400 in total.

The diagram shows triangle ABC. AB = 26.3 cm and angle BAC = 115°. The area of triangle ABC is 262 cm². Show that AC = 22.0 cm, correct to 1 decimal place.

The diagram shows triangle A on a grid. Draw the image of triangle A after a reflection in the line y = −x. Label the image B.

There are 49 students in a year group. Each student studies at least one of the sciences, biology (B), chemistry (C) and physics (P). x students study all 3 sciences. y students…

Find the next term and the nth term. 16, 9, 2, −5, −12, …

f(x) = 1/((2x − 3)(2x + 1)) On the diagram, sketch the graph of y = f(x) for values of x between −2 and 4.

In this question all lengths are in centimetres. A solid cone has radius r and vertical height h. A solid hemisphere also has radius r. The curved surface area of the cone is the…

Solve the equation. 2 log 5 − 5 log 2 = 3 log 4 − 2 log x Give your answer in the form a√b/c, where a, b and c are integers.