Route to a 4

Stage 1 · Strong foundations

Get these solid first. Everything else is built on them.

• Negative numbers ▶ video ready
• Order of operations (BIDMAS)
• Rounding and estimation
• Fractions, decimals and percentages ▶ videos: fractions
• Fraction arithmetic (+ − × ÷) ▶ videos: fractions
• Prime factors, HCF and LCM ▶ videos: HCF, LCM
• Powers and roots

• Algebra notation (3x means 3 times x)
• Substitution
• Coordinates

Stage 2 · The grade 4 core

These topics carry most of the grade 4 marks on the paper.

• Percentage change ▶ video ready
• Simple interest and money
• Standard form
• Index laws

• Dividing in a ratio
• Direct and inverse proportion
• Scale factors and maps
• Money and best buys
• Speed and density (compound measures)

• Solving linear equations
• Expanding and factorising
• Sequences and the nth term
• Straight-line graphs
• Rearranging formulae

• Angle facts
• Perimeter, area and volume
• Circles
• Units and conversions (incl. time)
• Transformations

• Averages and range
• Charts and graphs
• Frequency tables
• The probability scale
• Sample spaces and Venn diagrams

Stage 3 · Push to a 5

Secure on Stages 1 and 2? These take you past the pass line.

• Pythagoras' theorem
• Simultaneous equations
• Quadratic graphs
• Right-angled trigonometry
• Compound interest
• Relative frequency
• Tree diagrams