Geometrical reasoning, shapes, measures Quiz - Mathematics Geometry and Measure

Free practice quiz: Geometrical reasoning, shapes, measures (Mathematics Geometry and Measure). 28 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Geometry and Measure practice quiz has 28 multiple-choice questions on Geometrical reasoning, shapes, measures, and 28 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Which quadrilateral has all sides equal but angles not all 90°?

   1. square
   2. rectangle
   3. rhombus
   4. kite
   Show answer

   Answer: C. rhombus

   Equal sides, no right angles needed.

2. π is the ratio of the circumference of a circle to its:

   1. radius
   2. area
   3. arc
   4. diameter
   Show answer

   Answer: D. diameter

   π = C/d.

3. A trapezium has parallel sides 3 cm and 7 cm and height 5 cm. Find its area.

   1. 15 cm²
   2. 25 cm²
   3. 35 cm²
   4. 50 cm²
   Show answer

   Answer: B. 25 cm²

   ½ (3 + 7) × 5 = 25.

4. A triangular prism has cross-section area 15 cm² and length 4 cm. Find its volume.

   1. 19 cm³
   2. 30 cm³
   3. 60 cm³
   4. 15 cm³
   Show answer

   Answer: C. 60 cm³

   Volume = area of cross-section × length = 15 × 4.

5. Exterior angle 95°. Opposite interior angles are 40° and x. Find x.

   1. 135°
   2. 45°
   3. 95°
   4. 55°
   Show answer

   Answer: D. 55°

   x = 95 − 40 = 55°.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Which quadrilateral is always a rectangle?
2. Which quadrilateral has exactly one pair of parallel sides?
3. A circle has diameter 7 cm. Find its circumference (π = 22/7).
4. A circle has radius 5 cm. Find its circumference (π ≈ 3.14).
5. Approximately how many km is 10 miles?
6. Approximately how many miles is 80 km?
7. Convert 25 miles to km (1 mile ≈ 1.6 km)
8. A parallelogram has base 8 cm and height 5 cm. Find its area.
9. A trapezium has parallel sides 6 cm and 10 cm and height 4 cm. Find its area.
10. A cube has 8 vertices and 12 edges. How many faces does it have?
11. A triangular prism has 6 vertices and 5 faces. How many edges?
12. A square-based pyramid has 5 faces and 8 edges. How many vertices?
13. A triangular prism has triangle base 4 cm, height 3 cm and length 10 cm. Find its volume.
14. Right-angled triangle legs 6 cm and 8 cm, prism length 5 cm. Find the volume.
15. How many lines of symmetry does a regular hexagon have?
16. What is the order of rotational symmetry of a regular pentagon?
17. A triangle has interior angles 50° and 70°. Find the exterior angle at the third vertex.
18. Exterior angle of a triangle is 110°. One opposite interior angle is 45°. Find the other.
19. Two parallel lines are crossed by a transversal. An alternate angle to 65° is:
20. A corresponding angle to 120° on parallel lines is:
21. What is the vertically opposite angle to 70°?
22. Which tools are needed to construct a triangle with sides 4 cm, 5 cm and 6 cm?
23. Which step constructs the perpendicular bisector of a line segment?

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