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.
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Geometry and measures worksheet — GCSE Foundation
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- 1.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 2.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?
- 3.Write down the exact value of sin 60°.
- 4.A rhombus has all four sides equal in length, but it is not a square — its angles are not all 90°. How many lines of symmetry does this rhombus have?
- 5.A recipe uses 1.25 kg of flour. Work out how many grams of flour this is.
- 6.Quadrilateral PQRS has angle P = 92°, angle Q = 84° and angle R = 106°. Work out the size of angle S.
- 7.Triangle LMN has a right angle at M, with hypotenuse LN = 15 cm and LM = 9 cm. Triangle PQR has a right angle at Q, with hypotenuse PR = 15 cm and PQ = 9 cm. Which condition proves the two triangles are congruent?
- 8.m is the column vector with top number 3 and bottom number −4. Which of these column vectors is a scalar multiple of m?
- 9.Triangle A has a vertex at (1, 2). Triangle A is enlarged, centre (1, 1), to give triangle B, whose corresponding vertex is at (1, 5). Work out the scale factor of the enlargement.
- 10.Work out the distance between the point (0, 0) and the point (5, 12).
- 11.A quadrilateral has vertices A(1, 1), B(5, 1), C(6, 4) and D(2, 4). By comparing the y-coordinates of A, B and of D, C, write down whether the sides AB and DC are parallel, and give a reason for your answer.
- 12.A line segment is measured with a ruler and found to be 6.5 cm long. What is this length in millimetres?
- 13.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 14.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 15.In a right-angled triangle, θ is one of the acute angles. Write down the trigonometric ratio, in terms of the opposite and adjacent sides, that is used to find θ.
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