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SingaporeMaths

Number and Algebra

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we expand, factorise and simplify algebraic expressions reliably?

Expand products, factorise expressions including quadratics and the difference of two squares, and simplify algebraic fractions
A focused answer to the O-Level E-Maths outcome on algebraic manipulation. Expanding brackets, factorising by common factor, grouping, the difference of two squares and quadratics, and simplifying algebraic fractions.
9 min answer →

How do the laws of indices work, and how do we write very large or small numbers in standard form?

Apply the laws of indices including zero, negative and fractional powers, and express and calculate with numbers in standard form
A focused answer to the O-Level E-Maths outcome on indices and standard form. The laws of indices, zero, negative and fractional powers, and writing and calculating with numbers in standard form.
8 min answer →

How do we work confidently with integers, fractions, decimals and the order of operations?

Carry out the four operations on integers, fractions and decimals, apply the order of operations, and use approximation and estimation
A focused answer to the O-Level E-Maths outcome on numbers and the four operations. Integers, fractions and decimals, the order of operations, rounding to significant figures and decimal places, and sensible estimation.
8 min answer →

How do we calculate with percentages and apply them to money problems?

Calculate percentages, percentage change and reverse percentages, and apply them to profit, loss, discount, taxation and simple and compound interest
A focused answer to the O-Level E-Maths outcome on percentages and money. Percentage change, reverse percentages, profit and loss, discount and tax, and simple and compound interest.
9 min answer →

How do we compare quantities using ratio, and handle direct and inverse proportion?

Use ratio to share and compare quantities, work with rates, and solve problems involving direct and inverse proportion
A focused answer to the O-Level E-Maths outcome on ratio, rate and proportion. Simplifying and dividing in a ratio, working with rates such as speed, and solving direct and inverse proportion problems.
8 min answer →