Category Archives: Patterns, Functions and Algebra

Worksheet 9: Linear Inequalities

This grade 10 technical maths worksheet on inequalities starts with some theory questions before moving on to doing set builder notation. It then has questions on number lines, before solving inequalities. Finally there are also word problems for solving inequalities.   Download here: Worksheet 9: Inequalities Worksheet 9 Memorandum: Inequalities

Worksheet 8: Solving Equations

This grade 10 technical maths worksheet looks at solving various types of algebraic equations, from linear equations, equations with fractions, quadratic equations to simultaneous linear equations. The worksheet also asks students to make a particular variable the subject of the equation. There are also exponential equations. Finally the worksheet asks students to solve word problems […]

Worksheet 11: Calculus Part 2

This grade 12 worksheet on calculus consists of finding the first and second derivatives using the short-cut method finding the point of inflection and the concavity of the graph drawing the cubic graph by finding the x and y intercepts finding the stationary or turning points finding the point of inflection and finally, optimization of […]

How to Find Factor pairs using the calculator

Factorising is hard sometimes – particularly if you cant remember the factor pairs for a certain number. Here is a trick to help you. First put the calculator in Table mode by pressing  Then press the  button. At the top of the fraction put the number you are trying to factorise in. Next press the  […]

How to Make Second Common Differences Easy

Second Common Differences can be a bit complicated. The SHARP EL-535 can be very useful to help you figure out the formula and also to check whether your answers are right. Let’s do an example: You are given the pattern 3, 7, 15… On your calculator press: 1 (For stat) and then 2 for Quad […]

How to Enter the Quadratic Formula on your Calculator

Enter the Quadratic Function using your Memory Keys For example: 0 = 2×2 + 5x – 6 Make sure you are in Normal mode by pressing  0. We know that a = 2; b = 5 and c = -6. We need to store this in the calculator. So we press 2   . Now store b so type […]

Revision Term 1

This revision worksheet for CAPS term 1 tests all the skills that should have been learnt in the first term. The worksheet tests exponents, surds, equations including inequalities, completing the square, trinomials, and exponentials. It also tests simultaneous equations skills before looking at nature of roots. Finally revision on linear and quadratic patterns is given. […]

Worksheet 9: Algebraic Equations (Term 2)

This grade 8 maths worksheet focuses on the algebraic equations learnt in term 2 of the CAPS guide. It focuses on solving equations and story sums by using the multiplicative and additive inverses, as well as substitution to find the other half of an ordered pair. Download here: Worksheet 9: Algebraic Equations (Term 2) Worksheet […]

Worksheet 17: Algebraic Equations Term 3

This grade 9 mathematics worksheet has questions on linear equations, quadratic equations (trinomials and difference of square), simple exponential equations and story sums according to the CAPS grade 9 maths syllabus for the third term. Download here: Worksheet 17: Algebraic Equations Worksheet 17 Memorandum

Worksheet 4 – Solving for x

Use this worksheet to practice factorising, completing the square, inequalities, simultaneous equations, fraction questions and exponential questions. Use the fully worked out memo to check that the answers are correct.   Download here: Worksheet 4 – Solving For x Woksheet 4 – Memo