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.

Originale Aufgaben von Studoli-Lehrkräften im Stil der Prüfung GCSE. Es sind keine offiziellen Prüfungsaufgaben.

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.

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