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.
Geometry and measures worksheet — GCSE Foundation
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- 1.Write down which one of these statements about quadrilaterals is true.
- 2.Two angles lie on a straight line. One angle is 118°. Which reason correctly explains why the other angle is 62°?
- 3.Two similar shapes have lengths in the ratio 1 : 3. A side of the smaller shape is 4 cm long. Work out the length of the corresponding side of the larger shape.
- 4.In quadrilateral WXYZ, which of the following correctly names the angle at vertex Y using standard notation?
- 5.A rectangular photograph has an area of 96 cm². One of its sides is 8 cm long. Work out the length of the other side.
- 6.A window is made from a rectangle with a semicircle on top. The rectangle is 40 cm wide and 60 cm tall. The semicircle has the same width as the rectangle. Work out the total area of the window. Use π = 3.14. Give your answer to the nearest whole number.
- 7.a is the column vector with top number 3 and bottom number −2. b is the column vector with top number −1 and bottom number 5. Work out 2a + b, giving your answer as a column vector in the form (top, bottom).
- 8.A submarine travels due south. What is the three-figure bearing for this direction?
- 9.u is the column vector with top number 5 and bottom number 1. v is the column vector with top number 2 and bottom number 4. Work out u − v, giving your answer as a column vector in the form (top, bottom).
- 10.A regular polygon has 5 lines of symmetry. What is the order of rotational symmetry of this polygon?
- 11.A solid rubber ball has a radius of 3 cm. Work out the volume of the ball. Use π = 3.14.
- 12.A ladder rests against a wall, making an angle of 60° with the ground. The ladder is 2 m long. Using the exact value of sin 60°, work out how high up the wall the ladder reaches, giving your answer in centimetres.
- 13.Vector A is and vector B is . Write down how vector B compares to vector A.
- 14.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
- 15.Triangle ABC has AB = 6 cm, BC = 8 cm and angle B = 90°. Triangle XYZ has XY = 6 cm, YZ = 8 cm and angle Y = 90°. Which congruence statement correctly shows the matching vertices?
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