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.Lines GH and JK are parallel. A straight line crosses GH at point M and crosses JK at point N. Angle HMN = 71°. Angle HMN and angle MNK are alternate angles. Work out angle MNK.
- 2.The diagram shows the plan, front elevation and side elevation of a solid. Which of these solids matches all three views?
- 3.A student draws a net using 5 identical squares arranged in a row of four with one extra square attached to the side of one of them. Can this net be folded to make a closed cube?
- 4.A wooden cube has edges of length 4 cm. Work out the total surface area of the cube.
- 5.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 6.Work out the exact value of cos 0° − sin 30°.
- 7.Triangle T has a vertex at (2, 1). It is enlarged by a scale factor of 3, centre (0, 0). Work out the coordinates of the image of this vertex.
- 8.A bottle holds 2 litres of water. A glass holds 250 ml. Work out how many of these glasses can be filled from one full bottle.
- 9.Each of these has an exact value. Write down the one whose value is the greatest.
- 10.Two of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 11.A solid cylinder is lying on its curved side on a table, with its circular ends facing left and right. What shape is its plan view, looking down from above?
- 12.A surveyor is marking out field ABCD for a new crop. The plan states that side AB is parallel to side DC, but AB and DC are not equal in length, and sides BC and AD are not parallel to each other. Which term correctly describes the shape of field ABCD?
- 13.A scale drawing of a bridge uses a scale of 1 : 25. A support beam on the drawing measures 4.4 cm. What is the real length of the beam, in metres?
- 14.A hiker walks due west. What is the three-figure bearing for this direction?
- 15.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
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