GCSE Maths Foundation: Geometry practice questions

Ten free GCSE Maths Foundation tier questions on angles, area, volume, circles, Pythagoras, polygons and bearings, each with a worked solution. Suitable for AQA, Edexcel and OCR.

Preguntas originales escritas por profesores de Studoli al estilo del examen GCSE. No son exámenes oficiales.

Timed mode

10 questions in 15 minutes, one question at a time. Your answers are marked when you submit or when the time runs out.

Tema: Angles in a triangle
1. Two angles in a triangle are 50° and 75°. Find the third angle.
Solución
C. 55°
- Angles in a triangle add up to 180°.
- 180 − 50 − 75 = 55°.
Tema: Area
2. Find the area of a rectangle 8 cm long and 5 cm wide.
Solución
B. 40 cm²
- Area of a rectangle = length × width.
- 8 × 5 = 40 cm².
Tema: Area
3. Find the area of a triangle with base 10 cm and perpendicular height 6 cm.
Solución
A. 30 cm²
- Area of a triangle = ½ × base × height.
- ½ × 10 × 6 = 30 cm².
Tema: Polygons
4. What is the sum of the interior angles of a pentagon?
Solución
D. 540°
- Sum of interior angles = (n − 2) × 180°.
- For a pentagon, n = 5: 3 × 180 = 540°.
Tema: Circles
5. Find the circumference of a circle with radius 5 cm. Use π = 3.14.
Solución
C. 31.4 cm
- Circumference = 2πr.
- 2 × 3.14 × 5 = 31.4 cm.
Tema: Pythagoras
6. The two shorter sides of a right-angled triangle are 6 cm and 8 cm. Find the longest side.
Solución
B. 10 cm
- Pythagoras: c² = a² + b².
- c² = 36 + 64 = 100, so c = 10 cm.
Tema: Volume
7. Find the volume of a cuboid 4 cm by 3 cm by 2 cm.
Solución
A. 24 cm³
- Volume of a cuboid = length × width × height.
- 4 × 3 × 2 = 24 cm³.
Tema: Angles on a line
8. Two angles lie on a straight line. One is 112°. Find the other.
Solución
D. 68°
- Angles on a straight line add up to 180°.
- 180 − 112 = 68°.
Tema: Polygons
9. Find the exterior angle of a regular hexagon.
Solución
C. 60°
- Exterior angles of any polygon add up to 360°.
- 360 ÷ 6 = 60°.
Tema: Bearings
10. What is the bearing of due east?
Solución
B. 090°
- Bearings are measured clockwise from north and written with three figures.
- East is a quarter turn clockwise from north: 090°.

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GCSE Maths Foundation: Geometry practice questions

1. Two angles in a triangle are 50° and 75°. Find the third angle.

2. Find the area of a rectangle 8 cm long and 5 cm wide.

3. Find the area of a triangle with base 10 cm and perpendicular height 6 cm.

4. What is the sum of the interior angles of a pentagon?

5. Find the circumference of a circle with radius 5 cm. Use π = 3.14.

6. The two shorter sides of a right-angled triangle are 6 cm and 8 cm. Find the longest side.

7. Find the volume of a cuboid 4 cm by 3 cm by 2 cm.

8. Two angles lie on a straight line. One is 112°. Find the other.

9. Find the exterior angle of a regular hexagon.

10. What is the bearing of due east?

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