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.How many vertices does a cuboid have?
- 2.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 3.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
- 4.Work out the distance between the points (−3, 4) and (5, −2).
- 5.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 6.A gardener wants to plant a tree so that it is the same distance from two straight garden walls that meet at a corner, and also the same distance from two ornamental posts standing 4 m apart. Which construction locates this point?
- 7.Quadrilateral PQRS has angle P = 92°, angle Q = 84° and angle R = 106°. Work out the size of angle S.
- 8.A quadrilateral has two pairs of parallel sides. All four of its interior angles are right angles, but its sides are not all the same length. Which quadrilateral is this?
- 9.In a kite, one pair of opposite angles are equal in size. In kite WXYZ, angle X = 40° and angle Z = 100° are the two angles that are NOT equal to each other. The other two angles, W and Y, are equal to each other. Work out the size of angle W.
- 10.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 11.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.
- 12.A bearing is described as being exactly halfway between north and east, measured clockwise. What is the three-figure bearing?
- 13.A garden flower bed is in the shape of a trapezium. Its two parallel edges are 3.5 m and 6.5 m long, and the perpendicular distance between them is 4 m. Bedding plants cost £2.50 per square metre to cover the bed. Work out the total cost of the bedding plants.
- 14.The diagram shows the plan, front elevation and side elevation of a solid. Which solid could this be?
- 15.Work out the exact value of (sin 30°)² + (cos 30°)².
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