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.Point B is at (3, 5). It is reflected in the line y = 2. Work out the coordinates of the image of point B.
- 2.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
- 3.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 4.Work out the length of the straight line segment joining the points (2, −4) and (−3, −4).
- 5.Point B is at (1, 6). It is reflected in the x-axis. Work out the coordinates of the image of point B.
- 6.In triangle ABC and triangle DEF, AB = DE, AC = DF, and the angle at A equals the angle at D. Write down the congruence condition that proves the two triangles are congruent.
- 7.A rectangular photograph is 12 cm long and 5 cm wide. Work out the perimeter of the photograph.
- 8.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 9.A textbook contains the instruction 'Draw AB' and, on the next line, the statement 'AB = 5 cm'. Which statement about the notation AB is correct?
- 10.How many vertices does a cylinder have?
- 11.How many vertices does a cuboid have?
- 12.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.
- 13.A shop stacks tins in a display block. The front elevation of the block is 4 tins wide and 3 tins high. The side elevation shows the block is 2 tins deep. Every position in the block is filled. How many tins are used in total?
- 14.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 15.A solid is built from five centimetre cubes, standing side by side on a table in a single straight row. Looking down from directly above (the plan view), how many squares are visible?
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