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.A right-angled triangle has a hypotenuse of 14 cm. One of the other angles is 30°. Work out the exact length of the side opposite the 30° angle.
- 2.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 3.The diagram shows the plan, front elevation and side elevation of a solid. Which solid could this be?
- 4.The diagram shows a solid resting on its side on a table. Work out which shape is its plan view, the view looking straight down from above.
- 5.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 6.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.
- 7.In triangle ABC, angle A is 2x°, angle B is 3x° and angle C is 4x°. Work out the size of angle B.
- 8.A sector has an angle of 45°. Priti says: 'The area of the sector is one eighth of the area of the full circle, whatever the radius is.' Is Priti correct?
- 9.A scale drawing of a rectangular lawn uses a scale of 1 : 125. On the drawing, the lawn measures 4 cm by 2.4 cm. Work out the perimeter of the real lawn, in metres.
- 10.Rectangle ABCD has vertices A(−1, 2), B(4, 2), C(4, 5) and D(−1, 5). The rectangle is translated so that C moves to (0, −1). Write down the coordinates of the image of A.
- 11.Write down the exact value of cos 45°.
- 12.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 13.Each of these has an exact value. Write down the one whose value is the greatest.
- 14.Triangle ABC has a right angle at B. Triangle DEF has a right angle at E. The hypotenuse of triangle ABC equals the hypotenuse of triangle DEF, and side AB equals side DE. Which condition proves that the two triangles are congruent?
- 15.A square tile has sides of length 6 cm. Work out the area of the tile.
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