12 original questions, 41 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
Ben wants to work out the perimeter of a square with sides of length 6 cm.
Ben writes:
perimeter = 6 × 6 = 36 cm
Explain the mistake Ben has made.
An L-shape is made by joining a rectangle 8 cm by 5 cm to a rectangle 4 cm by 3 cm. The two rectangles do not overlap.
Work out the total area of the L-shape.
An L-shape is made by removing a rectangle 3 cm by 2 cm from one corner of a rectangle 8 cm by 6 cm.
Work out the perimeter of the L-shape.
A rectangle is 12 cm long and 9 cm wide.
A rectangle 5 cm by 4 cm is removed from one corner.
Work out the area of the remaining shape.
The diagram shows a U-shape. All the corners are right angles.
A rectangle is made from three identical squares placed side by side in a row.
The perimeter of the rectangle is 48 cm.
Work out the area of the rectangle.
A rectangular garden is 9 m long and 7 m wide.
A rectangular patio 4 m by 3 m is laid inside the garden. The rest of the garden is to be covered with grass seed.
One bag of grass seed covers 15 m² and costs £9.99.
Work out the total cost of the bags of grass seed needed.
A rectangular patio is 4.5 m long and 3.6 m wide.
The patio is to be covered completely with square paving slabs. Each slab has sides of length 0.9 m and costs £7.25.
Work out the total cost of the slabs needed. You may assume no slabs are cut.
Jamal is painting one wall of his bedroom. The wall is a rectangle 4 m wide and 2.5 m high. It has a window 1.5 m wide and 1.2 m high, which is not painted.
He gives the wall two coats of paint. One litre of paint covers 6 m². Paint is sold in 2.5 litre tins costing £14 each.
Work out the cost of the paint Jamal needs to buy.
A triangle has base (x + 4) cm and perpendicular height 6 cm.
The area of the triangle is 42 cm².
A rectangle has length (2x + 3) cm and width x cm.
The perimeter of the rectangle is 36 cm.
Answer the questions above and your score appears here.
Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.