IGCSE Mathematics - International (0607) — October–November 2024, Paper 22

Complete the statement. The common factors of 24 and 45 are 1 and .................

Work out 2 ÷ 0.04.

Expand. x³(x − 2)

Alex invests $200 at a rate of 2% per year simple interest. Work out the total interest earned at the end of 4 years.

Didi buys 2 books at $b each and p magazines at $m each. Find an expression, in terms of b, p and m, for the total amount Didi pays.

Rodrigo runs at an average speed of 10 km/h. Work out the number of minutes he takes to run 5 km.

Each of 100 students records the time taken to walk one kilometre. The cumulative frequency curve shows the results (cumulative frequency 0–100, Time 10–30 minutes). Find the…

Work out (3/11) ÷ (1/2).

The interior angle of a regular polygon is 160°. Work out the number of sides for this polygon.

The mean of five numbers is 7. The five numbers are 3, 5, 10, 11 and x. Find the value of x.

Simplify (64x¹⁸)^(2/3).

A, B and C lie on the circle centre O (NOT TO SCALE). The reflex angle AOC = 260°. Angle x° is marked at B (angle ABC). Work out the value of x.

Simplify fully. √20 + √45 + √80

The triangles ABC and PQR are similar (NOT TO SCALE). The area of triangle ABC is 24 cm². PQ/AB = 1/2. Work out the area of triangle PQR.

x² + 18x + 2 = (x + p)² + t Find the value of p and the value of t.

y varies inversely as √x. When x = 4, y = 8. Find y in terms of x.

cos x = −√3/2 and 0° ⩽ x ⩽ 360°. Find the values of x.

log 4 + 2 log x = 2 Find the value of x.