Mixed Number & Algebra drill (TSA style)

2026-10-31Exam & Challenge Mr Chan

A timed-style mixed set: primes, percentage change, expansion, factorisation and a linear equation.

Key formulas

\text{Use the method of the topic asked}

\text{Show brief working even in short questions}

How to use this lesson

Treat each practice item like a short assessment question. Aim for accuracy first, then speed. The multiple-choice block mirrors Section A style; the written list mirrors Sections B/C.

Topic switching

Real papers jump topics. After a percentage item you may meet indices — reset your method; do not force the previous technique.

Presentation

Even when working “need not be shown”, jotting one line reduces careless errors. For long questions, write expressions, then the answer sentence.

Exam habit

Skip and return: mark hard items, bank easy marks first.

Worked example

Linear equation check

Problem. Solve 3(x − 2) − 4 = 2 − 5x.

Solution. 3x − 6 − 4 = 2 − 5x ⇒ 3x − 10 = 2 − 5x ⇒ 8x = 12 ⇒ x = 1.5.

Review quiz

1 / 4

HCF of 2²×3×5 and 2×3²×7 is

Practice questions

Find the HCF of 2²×3×5 and 2×3²×7.
A mass rises from 50 kg to 56 kg. Find the percentage increase.
Expand (x − 4)(x + 2).
Factorise x² − 9x + 20.
Solve 3(x − 2) − 4 = 2 − 5x.

Study notes

Should I use a calculator?

Follow your paper rules. Many junior items are designed for clean integer arithmetic.

How many lessons before this drill?

Complete the core Number, Percentage, Algebra and Equations sets first.