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 straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 3.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 4.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 5.a is the column vector with top number 3 and bottom number −2. b is the column vector with top number −1 and bottom number 5. Work out 2a + b, giving your answer as a column vector in the form (top, bottom).
- 6.p is the column vector with top number 5 and bottom number 2. q is the column vector with top number 1 and bottom number 6. Work out p + q, giving your answer as a column vector in the form (top, bottom).
- 7.Two straight roads cross at a junction. The angle between them, measured with a protractor, is 118°. What is the size of the angle vertically opposite to it?
- 8.A tangent to a circle touches the circle at exactly one point, P. Work out the size of the angle between the tangent and the radius drawn to P.
- 9.A tangent touches a circle with centre O at the point P. Q is a point on the tangent. Write down the circle fact that tells you the size of angle OPQ.
- 10.A postcard measuring 10 cm by 15 cm is enlarged by a scale factor of 2 to make a poster. Work out the area of the poster, in cm².
- 11.A hiker starts by walking on a bearing of 245°. She turns clockwise through 50°, then turns clockwise through a further 15°, and continues walking in a straight line. What bearing is she now walking on?
- 12.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 13.A train leaves Leeds at 08:47 and arrives in London at 11:05. Work out how long the journey takes.
- 14.A hiker walks due west. What is the three-figure bearing for this direction?
- 15.Work out the exact value of cos 0° − sin 30°.
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