Mathematics · Year 10

Lesson 1

Combine every index law in multi-step algebraic expressions with brackets, quotients and negative indices, and write clean final answers.

⏱ 18 min · 10 questions

Lesson 2

Simplify, add, subtract, multiply and divide fractions that contain pronumerals by factorising and using a lowest common denominator.

⏱ 20 min · 10 questions

Lesson 3

Clear the fractions from a linear equation by multiplying every term by the lowest common denominator, then solve and check.

⏱ 18 min · 11 questions

Lesson 4

Rearrange formulas with squares, square roots and fractions — including ones where the new subject appears twice — to make any variable the subject.

⏱ 20 min · 9 questions

Lesson 5

Factorise quadratics like 6x² + 7x − 3, where the x² coefficient is not 1, by splitting the middle term and grouping.

⏱ 20 min · 10 questions

Lesson 6

Rearrange a quadratic equation to equal zero, factorise it and use the null factor law to find both solutions.

⏱ 20 min · 10 questions

Lesson 7

Read the solutions of a quadratic equation from the x-intercepts of its parabola, and home in on non-exact solutions with a table of values.

⏱ 18 min · 10 questions

Lesson 8

Solve multi-step linear inequalities with fractions and pronumerals on both sides, and interpret the solution in real situations.

⏱ 18 min · 10 questions

Lesson 9

Solve a pair of linear equations by finding where their graphs intersect, and explain what that point means in context.

⏱ 18 min · 9 questions

Lesson 10

Solve pairs of linear equations exactly by substituting one equation into the other, then check the answer in both.

⏱ 18 min · 10 questions

Lesson 11

Add or subtract equations to eliminate a variable, multiplying one or both equations first when the coefficients do not match.

⏱ 20 min · 10 questions

Lesson 12

Turn worded situations like ticket sales, mixtures and ages into a pair of equations, solve them and answer in context.

⏱ 20 min · 9 questions