Comprehensive assessment covering all 20 lessons. Mixed practice from units to symmetry.
Question 16 3 marks
(a) Convert 4.2 km to metres. 1 mark
(b) Convert 2500 cm² to m². 1 mark
(c) A rectangular prism has dimensions 5 cm × 4 cm × 3 cm. Find its volume in cm³. 1 mark
(a) 4200 m [1]
(b) 0.25 m² [1]
(c) 60 cm³ [1]
Question 17 4 marks
(a) Find the area of a triangle with base 16 cm and height 5 cm. 2 marks
(b) Find the area of a parallelogram with base 9 m and perpendicular height 7 m. 2 marks
(a) (16 × 5) ÷ 2 = 40 cm² [2]
(b) 9 × 7 = 63 m² [2]
Question 18 4 marks
(a) Two angles on a straight line are 72° and $x$. Find $x$. 1 mark
(b) Three angles around a point are 80°, 120° and $y$. Find $y$. 1 mark
(c) Two angles in a triangle are 45° and 55°. Find the third angle. 1 mark
(d) A regular polygon has exterior angle 40°. How many sides does it have? 1 mark
(a) x = 108° [1]
(b) y = 160° [1]
(c) 80° [1]
(d) 360 ÷ 40 = 9 sides [1]
Question 19 4 marks
(a) Name a quadrilateral with exactly one pair of parallel sides. 1 mark
(b) A triangle has sides 6 cm, 6 cm, 6 cm. Classify it by sides and angles. 2 marks
(c) How many lines of symmetry does a square have? 1 mark
(a) Trapezium [1]
(b) Equilateral by sides, acute by angles [2]
(c) 4 [1]
Question 20 5 marks
A rectangular room measures 8 m by 5 m with a ceiling height of 3 m.
(a) Find the floor area. 1 mark
(b) Find the volume of the room. 1 mark
(c) Find the total area of the four walls. 2 marks
(d) Explain why the surface area of the room (including floor and ceiling) is different from the area of the four walls. 1 mark
(a) 40 m² [1]
(b) 120 m³ [1]
(c) 2(8 × 3) + 2(5 × 3) = 48 + 30 = 78 m² [2]
(d) Surface area includes floor and ceiling; wall area only includes vertical walls [1]