IGCSE Mathematics - International (0607) — May–June 2024, Paper 22

In triangle ABC, AC = BC and BCD is a straight line. The angle at the apex region marked is 110°. Find angle ACD.

10 students each record their test scores in mathematics and in science: Mathematics 20 18 13 20 11 15 18 14 19 19 Science 20 17 16 19 10 15 20 11 20 16 Complete the scatter…

Work out 0.4 × 0.001.

From the list of numbers 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, write down a prime number.

Petra repairs cars. The cost of a repair is a fixed charge of $C plus a charge of $h per hour. Find an expression, in terms of C, h and n, for the total cost, $T, of a repair that…

Solve the inequality 7 ≤ 11x.

Simplify √98.

Solve. x + 11 = 7

Factorise completely. 2x − 6y − ax + 3ay

ABCD is a cyclic quadrilateral and the diagonals AC and BD intersect at X. The angles around X are labelled t, u, v, w. Complete the statement using two of t, u, v and w: Angle…

10 < ab < 100. Simplify (a × 10⁷) × (b × 10⁸). Give your answer in standard form.

The diagram shows the graph of y = sin x for 0° ≤ x ≤ 360°. On the diagram, sketch the graph of y = cos x for 0° ≤ x ≤ 360°.

The Venn diagram shows the number of elements in each subset (sets P, Q, R). Use set notation to complete the statement: P ∩ Q ∩ R = ......... (number of elements).

Simplify (25x¹⁶)^(3/2).

A triangle has sides of length 3 cm, 5 cm and 7 cm. Work out the largest angle in the triangle.

Describe fully the single transformation that maps shape G onto shape H (G and H drawn on a grid, both near y = 1-2 region, H to the left of G).

The diagram shows a cuboid measuring 6 cm by 3 cm by 2 cm. P is a top corner, A is the opposite bottom corner, N is the foot of the vertical below P. Find the sine of the angle…