Geometry and measures worksheet — GCSE Foundation

1.A polygon has 9 sides. What is the name of this polygon?

2.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.

3.Each of these has an exact value. Write down the one whose value is the greatest.

4.p is the column vector with top number 4 and bottom number −3. Work out 2p, giving your answer as a column vector in the form (top, bottom).

5.Triangle ABC has a right angle at B and hypotenuse AC = 17 cm, with AB = 8 cm. Triangle DEF has a right angle at E and hypotenuse DF = 17 cm. Which extra fact about DEF would complete the RHS condition for proving that ABC ≅ DEF, with the vertices matching in that order?

6.A sector of a circle has radius 7 cm and angle 90°. Using π = 3.14, work out the arc length of the sector, to 1 decimal place.

7.How many vertices does a square-based pyramid have?

8.Work out the exact value of sin 45° × cos 45°.

9.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.

10.Two similar hexagonal tiles have lengths in the ratio 4 : 7. A side of the smaller tile is 8.4 cm long. Work out the length of the corresponding side of the larger tile.

11.A sector of a circle is bounded by two straight edges and one curved edge. Write down the mathematical term for each of the two straight edges.

12.A trapezium has parallel sides of 5 cm and 11 cm, and a perpendicular height of 4 cm. Work out the area of the trapezium.

13.Write down the term for the distance all the way around the edge of a circle.

14.A market stall sells apples at £2.40 per kilogram. Which of these expressions gives the cost, in pounds, of buying m kilograms of apples?

15.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.