Lesson T4.4.2

T4.4.2 Properties of triangles, quadrilaterals and circles Quiz: KS3 Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T4.4.2, Properties of triangles, quadrilaterals and circles: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. An equilateral triangle has how many equal sides?

    • None
    • Two
    • One
    • Three

  2. An isosceles triangle has what features?

    • Two equal sides and two equal angles
    • Four equal sides with four right angles
    • Three equal sides and three equal angles
    • No equal sides and no equal angles at all

  3. A parallelogram has which property?

    • Only one pair of parallel sides
    • Four equal sides and right angles only
    • All angles 90 degrees
    • Opposite sides parallel and equal

  4. A rhombus has which property?

    • All four sides are equal in length
    • Exactly one pair of equal sides
    • Diagonals of equal length
    • Four right angles

  5. A kite has which property?

    • Four equal sides
    • Two pairs of adjacent equal sides
    • Two pairs of opposite parallel sides
    • No equal sides

  6. How many pairs of parallel sides does a trapezium have?

    • None
    • One
    • Two
    • Four

  7. What is the relationship between the diameter and radius of a circle?

    • The diameter is half the radius
    • The diameter is twice the radius
    • The diameter equals the radius
    • The diameter is four times the radius

  8. A tangent to a circle meets the radius at the point of contact at what angle?

    • 45 degrees
    • 180 degrees
    • 60 degrees
    • 90 degrees

  9. An isosceles triangle has base angles of 40 degrees. What is the apex angle?

    • 140 degrees
    • 80 degrees
    • 100 degrees
    • 40 degrees

  10. In a parallelogram, which angles are equal?

    • All four angles always add to 180 degrees
    • Adjacent angles only
    • Opposite angles
    • All four angles are right angles

  11. A circle has a radius of 6 cm. What is its circumference, using pi?

    • 12π cm (about 37.7 cm)
    • 6π cm (about 18.8 cm)
    • 36π cm (about 113 cm)
    • 3π cm (about 9.4 cm)

  12. A circle has a radius of 5 cm. Using pi as 3.14, what is its area?

    • 157 cm²
    • 78.5 cm²
    • 31.4 cm²
    • 15.7 cm²

  13. Which quadrilateral has all four angles equal to 90 degrees?

    • Kite
    • Rectangle
    • Trapezium
    • Rhombus

  14. In a triangle, the longest side is opposite which angle?

    • The middle angle
    • The right angle only
    • The largest angle
    • The smallest angle

  15. The perpendicular bisector of a chord of a circle passes through which point?

    • An endpoint of the chord
    • The circumference only
    • The centre of the circle
    • The point of contact of a tangent

  16. Which property do a square and a rhombus share?

    • Reflex angles
    • Exactly one pair of parallel sides
    • Angles of 60 degrees
    • All four sides are equal

  17. A rectangle is 8 cm long and 5 cm wide. What is its perimeter?

    • 13 cm
    • 26 cm
    • 40 cm
    • 80 cm

  18. In a parallelogram, one angle is 65 degrees. What is the angle next to it?

    • 65 degrees
    • 115 degrees
    • 25 degrees
    • 245 degrees

  19. An isosceles triangle has an apex angle of 50 degrees. What is each base angle?

    • 130 degrees
    • 65 degrees
    • 50 degrees
    • 40 degrees

  20. A triangle has sides of 6 cm, 8 cm and 10 cm. What type of triangle is it?

    • Right-angled
    • Equilateral
    • Isosceles
    • Obtuse-angled

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