IGCSE Mathematics - International (0607) — May–June 2023, Paper 21

Insert one pair of brackets to make the statement correct. 3 × 7 + 2 + 9 = 36

Solve the equation. 7 − 5x = −3

Work out (1, 2)ᵀ − (−5, 3)ᵀ (subtract the column vector with entries −5, 3 from the column vector with entries 1, 2).

Factorise. 2p² − pq

Work out 11/12 + 3/4. Give your answer as a mixed number in its simplest form.

Triangle T is drawn on a coordinate grid. Rotate triangle T 90° clockwise about the point (2, 1).

The interior angle of a regular polygon is 140°. Find the number of sides of this polygon.

Rearrange this equation to make x the subject. y = 7x + 2

Simplify (3w³)³.

A triangle is inscribed in a circle with one vertex at P, where the line APB is a tangent to the circle. The angle at the left vertex of the inscribed triangle is 62°, the angle…

Simplify √27 + √12 − √108.

f(x) = 3 sin(4x°) Find the amplitude and period of f(x).

y varies inversely as √x. When x = 9, y = 2. Find y in terms of x.

f(x) = x^(1/7) Find f⁻¹(x).

Simplify. 3/(x + 2) − 2/(x − 1)