IGCSE Mathematics (0980) — October–November 2023, Paper 21

22 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

Start with Question 1 →
Question 1 · 2 marks

The diagram shows an isosceles triangle with two equal base angles of 41° and apex angle x°. Find the value of x.

Answer this question and get it marked →
Question 2 · 3 marks

The stem-and-leaf diagram shows the time, in minutes, for 15 people to complete a race. 1 6 6 7 ; 2 1 3 3 4 5 6 7 7 7 ; 3 0 1 1. Key: 1 6 represents 16 minutes. Find the mode.

Answer this question and get it marked →
Question 3 · 2 marks

Complete this statement: When x = ......... , x + 3 = 8.

Answer this question and get it marked →
Question 4 · 3 marks

The table shows information about Amir's shopping. Complete the table. Fruit Cost per kilogram Number of kilograms Amir buys Cost --- --- --- --- Oranges $2.35 3.2 $.........…

Answer this question and get it marked →
Question 5 · 3 marks

Factorise completely. 42mk − 35m

Answer this question and get it marked →
Question 6 · 3 marks

For each of 10 office workers, the scatter diagram shows salary and value of car. One person has a salary of $28 000. Find the value of their car.

Answer this question and get it marked →
Question 7 · 1 mark

The exchange rate is 1 Singapore dollar = 0.62 euros. Find the value of 161.20 euros in Singapore dollars.

Answer this question and get it marked →
Question 8 · 1 mark

Calculate. (3/7) × (11/3) × (10/3) [i.e. 3 3/7 × 7? — calculate 3 3/7 × ... ]. The calculation evaluates to 24.

Answer this question and get it marked →
Question 9 · 2 marks

Find the highest common factor (HCF) of 140 and 126.

Answer this question and get it marked →
Question 10 · 5 marks

Simplify. n × n^5

Answer this question and get it marked →
Question 11 · 3 marks

Solve. 4(2x − 3) ≥ 4(3 + 3x) [the inequality is 4(2x − 3) ≥ 43 + 3x]. Solve for x.

Answer this question and get it marked →
Question 12 · 3 marks

Write 0.4 with 2 recurring (0.4̇2̇, i.e. 0.4242...) as a fraction in its simplest form. You must show all your working.

Answer this question and get it marked →
Question 13 · 3 marks

At the end of 2021 there were 27 000 rhinos living in the wild. The number is expected to decrease exponentially by 3% each year. Work out the number expected to be living in the…

Answer this question and get it marked →
Question 14 · 4 marks

The Venn diagram shows the number of elements in sets A, B and the universal set. Region only-A = 5x + 5, intersection A∩B = x, only-B = 12 − x, outside = 15. n(ℰ) = 52. Find n(A…

Answer this question and get it marked →
Question 15 · 5 marks

By shading the unwanted regions of the grid, draw and label the region R which satisfies these inequalities: y 1, x ≤ 2, y ≥ x + 2. [The grid has x from −5 to 7 and y from −3 to…

Answer this question and get it marked →
Question 16 · 3 marks

P = 2w + 2h. w = 11 and h = 9.5, both correct to 2 significant figures. Find the lower bound and the upper bound for P.

Answer this question and get it marked →
Question 17 · 3 marks

A, B and C are points on the circumference of a circle, centre O. Tangent DE touches the circle at C. Angle BCE = 53° and angle ACO = 20°. Find the value of x (angle x is at the…

Answer this question and get it marked →
Question 18 · 3 marks

A triangle has sides 8.3 cm and 16.2 cm with an angle of 105° opposite the 16.2 cm side, and angle y° opposite the 8.3 cm side. Calculate the value of y.

Answer this question and get it marked →
Question 19 · 4 marks

Sketch the graph of y = cos x for 0° ≤ x ≤ 360°.

Answer this question and get it marked →
Question 20 · 6 marks

Write as a single fraction in its simplest form. (x^2 − 10x − 60? ) ... [the expression is (10x − 60)/(x^2 − 30x) — write (10x^2 − 60x)/(x^2 − x − 30) as a single simplified…

Answer this question and get it marked →
Question 21 · 4 marks

The diagram shows a cuboid ABCDEFGH. AB = 15.1 cm, BC = 4.5 cm and CG = 9.2 cm. Calculate the angle that the diagonal BH makes with the face ADHE.

Answer this question and get it marked →
Question 22 · 4 marks

ABCD is a rhombus with side length 13.6 cm. Angle ABC = 41°. BAC is a sector of a circle with centre B. DAC is a sector of a circle with centre D. Calculate the shaded area.

Answer this question and get it marked →

← October–November 2023 Paper 31 · October–November 2023 Paper 11 →

← All IGCSE Mathematics (0980) past papers