# Maths Paper 1, November 2024, question 3.1

> A circle with radius 20 cm is drawn. A second, smaller circle is drawn so that it... Marked mark by mark. Q3.1, Maths Paper 1 November 2024, 2 marks.

Canonical: https://sharpkop.co.za/maths/2024-nov-p1/q3-1/
Last updated: 2026-11-12

Subject: Maths. Source: Based on Nov 2024 · Paper 1 · Q3.1. Marks: 2. Not yet checked by a teacher.

## Question 3.1 (2 marks)

A circle with radius 20 cm is drawn. A second, smaller circle is drawn so that it passes through the centre of the first circle and touches the first circle from the inside, as shown in the diagram below. A third circle is drawn in the same way: it passes through the centre of the second circle and touches the second circle from the inside. This carries on, so that every new circle has a radius equal to half of the radius of the circle before it. Write down the radius of the 4th circle.

Figure: Three circles share a tangent point at the top. The largest has radius 20 cm with its centre marked. The second has radius 10 cm and passes through the first centre. The third has radius 5 cm and passes through the second centre. Each radius is half the previous one.

## Practise it

[Answer this question](https://sharpkop.co.za/maths/2024-nov-p1/q3-1/) and see it marked mark by mark, with the reason for every lost mark.

## Related

- [More number patterns and sequences questions](https://sharpkop.co.za/maths/number-patterns/)
- [Maths Paper 1, November 2024](https://sharpkop.co.za/maths/2024-nov-p1/)
- [Grade 12 Maths past papers](https://sharpkop.co.za/maths/)

Questions are based on National Senior Certificate papers set by the Department of Basic Education. Sharpkop is not affiliated with or endorsed by the Department.