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.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 2.Point A is at (2, 3). It is translated by the vector (4, −1) to give point A′. Work out the coordinates of A′.
- 3.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 4.Two angles are supplementary. One of them is twice the size of the other. Work out the size of the smaller angle.
- 5.A sector of a circle has radius 4 cm and angle 90°. Using π = 3.14, work out the area of the sector.
- 6.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 7.A photograph is 10 cm wide and 15 cm tall. It is enlarged to make a similar poster that is 40 cm wide. The poster costs £0.80 per centimetre of its height to print, based on its full height. Work out the cost of printing the poster.
- 8.A plan of a school hall uses a scale of 1 : 250. A wall is drawn 3.4 cm long on the plan. Sam wants to know the wall's real length in metres. What is it?
- 9.Work out the gradient of the line segment joining A(2, 3) and B(6, 11).
- 10.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.
- 11.A train leaves Leeds at 08:47 and arrives in London at 11:05. Work out how long the journey takes.
- 12.A sector of a circle has an angle of 90° and an arc length of 15.7 cm. Using π = 3.14, work out the radius of the circle.
- 13.Triangle ABC is similar to triangle PQR. AB corresponds to PQ, and BC corresponds to QR. AB = 5 cm, PQ = 15 cm and BC = 7 cm. Work out the length of QR.
- 14.A cylinder has a radius of 5 cm. Its volume is 471 cm³. Using π = 3.14, work out the height of the cylinder.
- 15.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
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