Mathematics Paper 1 November 2025

About this video

Grade 10 Mathematics Paper 1, November 2025 (Nelson Mandela Metro, Eastern Cape) worked through in full: surds and recurring decimals, factorising and simplifying, equations and inequalities, simultaneous equations, number patterns, finance and exchange rates, functions and graphs, and probability.

What it covers

• Between which integers a root lies; a recurring decimal as a fraction
• Factorising, exponents with mixed bases, algebraic fractions
• Equations: zero product rule, exponential, making x the subject, inequalities
• Simultaneous equations by substitution
• Linear patterns: the general term, the first negative term, a sum
• Finance: present value, hire purchase, exchange rates
• Hyperbola, parabola and exponential graphs; probability and Venn diagrams

Exercises to try

Work each one out, then click to reveal the answer.

1. 1

   Between which two consecutive integers does √90 lie?

   Show answer ▾Hide answer ▴

   81 < 90 < 100, so 9 < √90 < 10
2. 2

   A linear pattern is 50; 46; 42; … Find the general term and the first negative term.

   Show answer ▾Hide answer ▴

   T_n = −4n + 54; −4n + 54 < 0 → n > 13,5, so T₁₄ = −2 is the first negative term
3. 3

   Solve simultaneously: y = 2x − 1 and 3x + y = 9.

   Show answer ▾Hide answer ▴

   Substitute: 3x + (2x − 1) = 9 → 5x = 10 → x = 2 and y = 3
4. 4

   How much must be invested now at 7% per year, compounded annually, to have R30 000 in 4 years?

   Show answer ▾Hide answer ▴

   P = (30 000)/(1 + 7/100)⁴ = R22 886,86
5. 5

   P(A) = 0,4, P(B) = 0,5 and P(A and B) = 0,1. Find P(A or B).

   Show answer ▾Hide answer ▴

   P(A or B) = 0,4 + 0,5 − 0,1 = 0,8