Year 9 Maths (Stage 5)

Very large and very small measurements, and rounding to a given number of significant figures.

Multiplying, dividing and raising powers — and the zero index.

What a negative index means, and the index laws with negative-integer indices.

Order-of-magnitude answers without a calculator, in scientific notation.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Wages, commission and the simple interest formula, forwards and backwards.

Increase, decrease, and finding the original amount.

Unit prices, and why 20% off then 10% off is not 30% off.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

The distributive law with negatives and indices.

Expanding (a + b)(c + d) by area model and by habit.

Perfect squares and the difference of two squares — and using them for mental arithmetic.

Taking out the highest common factor; factorising four terms in pairs.

Adding, subtracting and simplifying.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Brackets and unknowns on both sides.

Clearing denominators safely.

Solving, graphing on a number line, and flipping the sign.

Changing the subject in one and several steps.

Naming the unknown, writing the equation, checking the answer makes sense.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Three measurements from two points.

Reading and sketching y = mx + c.

From a point and a gradient, or from two points.

Equal gradients, and gradients that multiply to −1.

Pythagoras on the Cartesian plane.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Two numbers that multiply to c and add to b.

If a product is zero, a factor is zero.

Areas and consecutive numbers — and rejecting the root that cannot be.

Cube roots, positive and negative.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Opposite, adjacent, hypotenuse — and why the ratio depends only on the angle.

Choosing the ratio that links what you know to what you want.

Inverse ratios, and exact angles from 30°-60°-90° and 45° triangles.

Drawing the diagram before anything else.

Three-figure bearings, back bearings and two-leg journeys.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Nets and the faces you must not forget.

Curved surfaces, and the faces that disappear when solids join.

Area of cross-section times length.

Adding and subtracting prisms and cylinders.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Matching sides and finding the missing one.

Ratios of the form 1 : n in both directions.

Scale factor k gives area k² and volume k³.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Multiply along the branches, add across them.

When the second draw depends on the first.

And, or, not — and counting the overlap once.

Probability given that something has happened: shrink the sample space.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.

Quartiles, interquartile range and outliers.

Centre and spread side by side.

y = kx: find k, then use it.

y = k/x, and reading speed from a distance–time graph.

Fifteen test-level questions on this chapter — four options, two to four steps each, no calculator, about 17 minutes.