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

Free practice quiz: Geometrical reasoning, shapes, measures (Mathematics Geometry and Measure). 42 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Geometry and Measure practice quiz has 42 multiple-choice questions on Geometrical reasoning, shapes, measures, and 42 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.

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Sample questions

  1. A single cube is viewed from the front. What shape is the front view?

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    Answer: A. a square

    All faces of a cube are squares.

  2. Which of these is a regular polygon?

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    Answer: C. square

    Only the square has equal sides and equal angles. A rectangle has equal angles only; a rhombus has equal sides only.

  3. How many square metres are in 1 hectare?

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    Answer: C. 10 000 m²

    1 hectare = 10 000 m² (a square 100 m by 100 m).

  4. A cube has side 4 cm. Find its volume.

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    Answer: D. 64 cm³

    Volume = 4 × 4 × 4 = 64.

  5. Angles around a point are 120°, 150° and x. Find x.

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    Answer: D. 90°

    Angles around a point add up to 360°. 360 − 270 = 90.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. A cuboid is 3 units wide and 2 units tall. What is its front view?
  2. What is the top view of a square-based pyramid?
  3. Find the surface area of a cube with side 3 cm.
  4. Find the surface area of a cuboid 2 cm × 3 cm × 4 cm.
  5. Find the surface area of a cube with side 2 cm.
  6. How many sides does a regular octagon have?
  7. A regular polygon has:
  8. Triangle ABC is congruent to triangle PQR, with A matching P, B matching Q and C matching R. AB = 7 cm. Which side of PQR is also 7 cm?
  9. Two shapes are congruent. Which statement is always true?
  10. A rectangle is 6 cm by 4 cm. Which rectangle is congruent to it?
  11. A straight line from the centre of a circle to its edge is called the:
  12. A chord that passes through the centre of a circle is called the:
  13. A straight line that touches a circle at exactly one point is called a:
  14. Convert 3 m² to cm².
  15. Convert 5 cm² to mm².
  16. A triangle has base 10 cm and height 6 cm. Find its area.
  17. A triangle has area 24 cm² and base 8 cm. Find its height.
  18. A rectangle 8 cm by 5 cm has a triangle on top. The triangle has base 8 cm and height 3 cm. Find the total area.
  19. Which 3D shape has 5 faces, 8 edges and 5 vertices?
  20. Which 3D shape has two circular faces and one curved surface?
  21. Which 3D shape has 6 identical square faces?
  22. A cuboid is 5 cm long, 4 cm wide and 3 cm high. Find its volume.
  23. A cuboid has volume 120 cm³, length 8 cm and width 5 cm. Find its height.
  24. How many lines of symmetry does a rectangle (that is not a square) have?
  25. What is the order of rotational symmetry of a square?
  26. Which shape has no lines of symmetry but rotational symmetry of order 2?
  27. Three angles of a quadrilateral are 100°, 110° and 70°. Find the fourth angle.
  28. The angles of a quadrilateral are x, x, 2x and 2x. Find x.
  29. The interior angles of any quadrilateral add up to:
  30. Four equal angles meet at a point. What is each angle?
  31. Angles around a point are 2a, 3a and 4a. Find a.
  32. Two straight lines cross. One angle is 50°. What is the angle next to it on a straight line?
  33. Two lines are perpendicular. What angle do they make where they meet?
  34. Two parallel lines are crossed by a transversal. An acute angle formed is 70°. What is an obtuse angle formed?
  35. To draw a rectangle accurately, each corner must be:
  36. Which tool is best for checking that a corner is a right angle?
  37. Two lines on squared paper go in the same direction and never meet. They are:

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