Geometry — IGCSE Mathematics (0980) questions by topic
Drawing a cuboid's net on a centimetre grid, shading a square to complete a symmetrical pattern, naming a quadrilateral from its diagonal and rotational properties, and marking a point from a bearing on a scale drawing structure this geometry page's 14 questions, drawn from 2025 papers and worth between 1 and 6 marks. Find, state, draw, complete and write test precise construction as much as calculation.
Scale drawings and bearings punish small measuring errors, so submit your diagram-based answers for instant marking to check whether your angle or distance is accurate enough to match the mark scheme's tolerance.
May–June 2025, Paper 12
The diagram shows a line AB and a point P. The line slopes gently downwards from A (upper left) to B (lower right), with point P marked on the line nearer to B. Measure the length…
Answer this question and get it marked →A cuboid has length 5 cm, width 2 cm and height 3 cm. Draw a net of the cuboid on the 1 cm^2 grid.
Answer this question and get it marked →A quadrilateral has the geometrical properties: - 4 equal length sides - 2 lines of symmetry - rotational symmetry of order 2. Write down the mathematical name of this…
Answer this question and get it marked →May–June 2025, Paper 22
The diagram shows a 4 by 4 grid of small squares. Three squares are shaded: the top row has shaded squares in the 2nd and 4th columns, and the bottom-left square is also shaded.…
Answer this question and get it marked →The scale drawing shows the positions of two villages, P and Q. The scale is 1 cm represents 0.5 km. Find the actual distance between village P and village Q.
Answer this question and get it marked →The diagram shows two straight lines intersecting two parallel lines (not to scale). The two parallel lines are horizontal. The upper parallel line is crossed by two transversals;…
Answer this question and get it marked →The diagram (not to scale) shows a circle with points P, Q and R on the circle. R is at the upper left, P is at the right and Q is at the lower right. QR is a diameter of the…
Answer this question and get it marked →May–June 2025, Paper 32
A, B and C are points on a circle, centre O, diameter AC. Complete these statements, giving geometrical reasons. The value of x is ......................... because…
Answer this question and get it marked →The scale drawing shows the position of a hospital, H. The scale is 1 centimetre represents 6 kilometres. A school, S, is 33 km from H on a bearing of 155°. Mark the position of S…
Answer this question and get it marked →May–June 2025, Paper 42
A quadrilateral has these properties - the diagonals are the only lines of symmetry - it has rotational symmetry of order 2. Write down the mathematical name of this quadrilateral.
Answer this question and get it marked →The diagram shows the net of a solid. The net consists of a central rectangle with a smaller rectangle attached above it and another below it, and a triangle attached to each of…
Answer this question and get it marked →Triangle ABC and triangle PQR are mathematically similar (NOT TO SCALE). In triangle ABC: AB = 9 cm, AC = 12 cm, BC = 16 cm, with the angles at B and C marked. In triangle PQR…
Answer this question and get it marked →The interior angle of a regular polygon is 172 degrees. Find the number of sides of this polygon.
Answer this question and get it marked →A, B, C, D and E lie on a circle (NOT TO SCALE). Chords are drawn joining these points. The angle at D in triangle/region marked z is z degrees. At E the angle marked x is x…
Answer this question and get it marked →Other IGCSE Mathematics topics
- Number (36)
- Algebra and graphs (21)
- Mensuration (7)