# Maths: Number patterns and sequences

> 8 questions based on past NSC papers, on number patterns and sequences, 27 marks in our Paper 1 questions. Answer one and see it marked mark by mark.

Canonical: https://sharpkop.co.za/maths/number-patterns/
Last updated: 2026-11-12

## Questions

- [Nov 2024 · Paper 1 · Q1.3 (3 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q1-3/): Look at the product (1+1/3)(1+1/4)(1+1/5)…(1+1/n), where n ≥ 3 and the last factor is 1+1/n.
- [Nov 2024 · Paper 1 · Q2.1.1 (2 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q2-1-1/): An arithmetic series has a first term of 4 and a common difference of 3. The series has 30 terms. Calculate the sum of all 30 terms.
- [Nov 2024 · Paper 1 · Q2.1.2 (4 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q2-1-2/): The first term of an arithmetic series is 6 and the common difference is 4. The series has 15 terms.
- [Nov 2024 · Paper 1 · Q2.2.1 (3 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q2-2-1/): The first differences of a quadratic number pattern are 4; 6; 8; … Given that T_(60) = 3 500, calculate the value of T_(59).
- [Nov 2024 · Paper 1 · Q2.2.2 (5 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q2-2-2/): The first differences of a quadratic number pattern are: 4; 6; 8; … The third term of the pattern is 22.
- [Nov 2024 · Paper 1 · Q3.1 (2 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q3-1/): 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...
- [Nov 2024 · Paper 1 · Q3.2 (4 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q3-2/): A circle of radius 8 cm is drawn. A second, smaller circle is drawn so that it passes through the centre of the first circle and touches...
- [Nov 2024 · Paper 1 · Q3.3 (4 marks)](https://sharpkop.co.za/maths/2024-nov-p1/q3-3/): A circle of radius 20 cm is drawn. A second circle is drawn so that it passes through the centre of the first circle and touches the...

## Related

- [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.