Printable · GCSE Foundation · ages 14-16
Geometry and measures worksheet — GCSE Foundation
Fifteen questions across the geometry and measures statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Non-calculator
Geometry and measures worksheet — GCSE Foundation
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- 1.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 2.A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the length of the other shorter side.
- 3.A postcard measuring 10 cm by 15 cm is enlarged by a scale factor of 2 to make a poster. Work out the area of the poster, in cm².
- 4.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
- 5.A tent's sloping side makes an angle of 45° with the ground. The sloping side is 3√2 m long. Using the exact value of sin 45°, work out the exact height of the tent.
- 6.A chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.
- 7.A tank holds 3.2 m³ of water. Work out this volume in litres.
- 8.In a phone game, a character starts at the point (−5, 2) on a grid. It moves by the vector to collect a coin. The player now wants the character's next single move to finish at the point (3, 0). Write down the column vector of that second move.
- 9.A plan of a car park is drawn to a scale of 1 : 500. A parking bay is drawn as a rectangle measuring 1.2 cm by 0.6 cm. The real width of the bay corresponds to the 0.6 cm side. What is the real width of the bay, in metres?
- 10.Write down the number of lines of symmetry a rhombus has.
- 11.Compasses are opened to exactly half the length of AB, and arcs are drawn centred at A and at B, to construct the perpendicular bisector of AB. Why does this fail?
- 12.A recipe uses 0.75 kg of sugar. Work out how many grams of sugar this is.
- 13.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 14.A square-based pyramid has a square base and four identical triangular sloping faces, with its apex directly above the centre of the base. How many planes of symmetry does it have?
- 15.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
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