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 tank holds 3.2 m³ of water. Work out this volume in litres.
- 2.A hiker walks due west. What is the three-figure bearing for this direction?
- 3.An angle measures 108°. Write down the name given to an angle of this size.
- 4.Triangle JKL and triangle MNP are similar, with JK ÷ MN = JL ÷ MP = 2. A student says triangle JKL must be congruent to triangle MNP. Write down why the student is wrong.
- 5.How many vertices does a cuboid have?
- 6.Write down the exact value of sin 45°.
- 7.Which of these correctly compares a 'line' with a 'line segment'?
- 8.Point C is at (5, 2). It is reflected in the x-axis. Work out the coordinates of the image of point C.
- 9.Two similar triangular tiles have lengths in the ratio 3 : 5. The longest side of the smaller tile is 9 cm. Work out the length of the longest side of the larger tile.
- 10.In kite WXYZ, WX = WZ and XY = ZY (so at each of X and Z, one side from each of the two unequal pairs meets). Angle X = 100°. Work out angle Z.
- 11.The point A(3, 2) is translated by the vector (−5, 4) to give point B. Work out the coordinates of B.
- 12.A circle has centre O. Radii OA and OB are drawn, together with the arc AB, enclosing a sector. The straight chord AB is also drawn. Write down the name of the region enclosed between the chord AB and the arc AB.
- 13.Triangle DEF is isosceles, with DE = DF. Angle E = 58°. Give a reason why angle F = 58°.
- 14.A solid is built from centimetre cubes: a base layer of 2 rows of 3 cubes each (a 3 by 2 rectangle of cubes), with one extra cube placed on top of one corner cube of that base. Looking down from directly above (the plan view), how many squares are visible?
- 15.A circular plate has a diameter of 20 cm. Work out the area of the plate. Use π = 3.14.
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