Geometry - Properties of Shapes
30 free practice questions with explanations
PassNova has 30 free KS2 SATs Maths practice questions on Geometry - Properties of Shapes, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Geometry - Properties of Shapes: example questions & answers
30 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
How many sides does a pentagon have?
- A4
- B5✓
- C6
- D8
Answer: A pentagon is a shape with 5 sides.
What is the sum of the angles in a triangle?
- A180°✓
- B90°
- C270°
- D360°
Answer: The sum of all angles in a triangle is always 180°.
How many sides does an octagon have?
- A6
- B7
- C8✓
- D9
Answer: An octagon is a shape with 8 sides.
What is the sum of the angles in a quadrilateral?
- A360°✓
- B540°
- C180°
- D270°
Answer: The sum of all angles in a quadrilateral is always 360°.
Which of these is a regular polygon?
- AA hexagon with sides of different lengths
- BA rectangle with sides 4cm and 6cm
- CA triangle with sides 3cm, 4cm, and 5cm
- DA square with all sides 5cm✓
Answer: A regular polygon has all sides and all angles equal. A square with all sides 5cm is regular.
How many lines of symmetry does the rectangle shown have?
- A1
- B2✓
- C3
- D4
Answer: This rectangle is longer than it is wide, so it has 2 lines of symmetry: one horizontal and one vertical through its centre. (A square is a special rectangle, and that has 4.)
How many lines of symmetry does a square have?
- A2
- B3
- C4✓
- D5
Answer: A square has 4 lines of symmetry: 2 diagonal, 1 horizontal, and 1 vertical.
What is the name of a 3D shape with 6 square faces?
- ACube✓
- BCylinder
- CPyramid
- DSphere
Answer: A cube has 6 square faces, 12 edges, and 8 vertices.
How many vertices does a triangular pyramid have?
- A3
- B4✓
- C5
- D6
Answer: A triangular pyramid (tetrahedron) has 4 vertices.
What angle is in the corner of a square?
- A60°
- B90°✓
- C45°
- D120°
Answer: Each angle in a square is 90° (a right angle).
How many lines of symmetry does an equilateral triangle have?
- A1
- B2
- C3✓
- D4
Answer: An equilateral triangle has 3 lines of symmetry.
What is the name of a quadrilateral with exactly one pair of parallel sides?
- ATrapezium✓
- BParallelogram
- CRectangle
- DRhombus
Answer: A trapezium has exactly one pair of parallel sides.
How many edges does a cube have?
- A8
- B10
- C12✓
- D14
Answer: A cube has 12 edges.
How many faces does a triangular prism have?
- A4
- B5✓
- C6
- D7
Answer: A triangular prism has 5 faces: 2 triangular faces and 3 rectangular faces.
What type of triangle has all three sides of different lengths?
- AEquilateral
- BIsosceles
- CRight-angled
- DScalene✓
Answer: A scalene triangle has all three sides of different lengths.
How many sides does a hexagon have?
- A4
- B5
- C6✓
- D8
Answer: A hexagon is a six-sided polygon.
How many vertices does a square have?
- A2
- B3
- C4✓
- D5
Answer: A square has 4 vertices (corners).
What is the sum of angles in a triangle?
- A180°✓
- B270°
- C360°
- D90°
Answer: The sum of angles in any triangle is always 180°.
How many edges does a cube have?
- A8
- B12✓
- C16
- D24
Answer: A cube has 12 edges (lines where faces meet).
What type of triangle has all sides of equal length?
- ARight-angled
- BScalene
- CIsosceles
- DEquilateral✓
Answer: An equilateral triangle has all three sides of equal length.
What is the sum of angles in a quadrilateral?
- A180°
- B450°
- C360°✓
- D270°
Answer: The sum of angles in any quadrilateral is 360°.
A circle has how many lines of symmetry?
- A1
- B2
- CInfinite✓
- D0
Answer: A circle has infinite lines of symmetry (any line through the centre is a line of symmetry).
Which shape has 5 sides?
- APentagon✓
- BHexagon
- CQuadrilateral
- DOctagon
Answer: A pentagon is a five-sided polygon.
How many faces does a cube have?
- A4
- B6✓
- C8
- D12
Answer: A cube has 6 faces (all squares).
A rectangle is 8 cm long and 5 cm wide. How many lines of symmetry does it have?
- A1
- B2✓
- C3
- D4
Answer: Because the length and the width are different, this rectangle has 2 lines of symmetry: one vertical and one horizontal. (A square is a special rectangle, and that has 4.)
What is the name of a three-sided polygon?
- AHexagon
- BTriangle✓
- CPentagon
- DQuadrilateral
Answer: A triangle is a three-sided polygon.
How many faces does a triangular prism have?
- A3
- B4
- C5✓
- D6
Answer: A triangular prism has 5 faces (2 triangular faces and 3 rectangular faces).
What type of angle is less than 90°?
- AAcute angle✓
- BRight angle
- CObtuse angle
- DReflex angle
Answer: An acute angle is any angle less than 90°.
A square has how many lines of symmetry?
- A1
- B2
- C3
- D4✓
Answer: A square has 4 lines of symmetry (2 diagonal and 2 through the midpoints of opposite sides).
What type of triangle has one angle of 90°?
- AObtuse triangle
- BIsosceles triangle
- CRight-angled triangle✓
- DAcute triangle
Answer: A right-angled triangle has one angle of exactly 90°.