All topics

Mathematics // Number Representation & Place Value

Read, write, order, and compare numbers up to 10,000,000 and determine the value of each digit

Mathematics // Number Representation & Place Value

Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy

Mathematics // Number Representation & Place Value

Use negative numbers in context (temperature, finance, sea level); calculate intervals across zero

Mathematics // Number Representation & Place Value

Round numbers and measures to an appropriate degree of accuracy including to a specified number of decimal places or significant figures

Mathematics // Number Representation & Place Value

Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots…

Mathematics // Number Representation & Place Value

Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper…

Mathematics // Number Representation & Place Value

Interpret and compare numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer; convert between ordinary numbers and standard form

Mathematics // Probability

Conduct simple probability experiments — flipping a coin, rolling a die, pulling coloured counters from a bag — record results, and compare experimental…

Mathematics // Probability

Calculate the probability of a simple event with equally likely outcomes using the formula: probability = number of favourable outcomes ÷ total number of…

Mathematics // Probability

Run repeated probability experiments and compare experimental (relative frequency) results with theoretical predictions; understand and demonstrate that as the…

Mathematics // Probability

Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of…

Mathematics // Probability

Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the…

Mathematics // Probability

Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes

Mathematics // Ratio & Proportion

Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison

Mathematics // Ratio & Proportion

Solve problems involving similar shapes where the scale factor is known or can be found

Mathematics // Ratio & Proportion

Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

Mathematics // Ratio & Proportion

Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

Mathematics // Ratio & Proportion

Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units

Mathematics // Ratio & Proportion

Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa

Mathematics // Ratio & Proportion

Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places…

Mathematics // Ratio & Proportion

Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction…

Mathematics // Ratio & Proportion

Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole

Mathematics // Ratio & Proportion

Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest