Corbettmaths Selected Questions
Indices – Laws of Indices
1. 1. Simplify m² × m³ as a single power of m.
2. 2. Write n⁵ ÷ n² as a single power of n.
Circles – Circumference & Area
3. 3. A circular table‑top has a diameter of 85 cm. Calculate its circumference, giving your
answer to 1 decimal place.
4. 4. A circle has an area of 200 cm². Find its radius (give your answer to 2 dp).
Polygons – Interior & Exterior Angles
5. 5. A regular polygon has 12 sides. Work out the size of each interior angle.
6. 6. Each exterior angle of a regular polygon is 20°. How many sides does the polygon
have?
Triangles – Angle Facts
7. 7. The three angles of a triangle are in the ratio 1 : 2 : 3. Find the size of every angle.
8. 8. An isosceles triangle has one angle of 52°. List the two possible pairs of sizes for the
remaining angles.