Year 7 Maths Worksheets

Lines and rays; parallel/perpendicular lines; classify angles; missing angles in triangles; polygon angle sum; transversal relationships.

Estimate and convert metric length/mass/capacity; square and cubic units; m²↔hectares; m³↔litres; precision.

Perimeter; area of polygons including parallelograms and triangles; composite figures; surface area and volume of prisms; circumference.

Solve problems involving the volume and capacity of right prisms, including rectangular and triangular cross-sections; use appropriate units.

Measurement

Solve problems involving the volume and capacity of right prisms.

Use the relationships between π, radius, diameter and circumference.

Find the interior angle sum of triangles and polygons using (n−2) × 180°.

Apply ratio reasoning to real-world situations including scaling, maps and recipes.

Compare coupons; unit prices; GST and discounts; find discount/markup %; original prices; multi-step problems; modelling.

Understand exponents; evaluate powers; powers of ten; fractional bases; square roots of perfect squares; estimate square roots.

Prime/composite; prime factorisation with exponents; divisibility rules; HCF; LCM; classify number sets.

Understand, place, compare and order positive and negative integers on a number line.

Add, subtract, multiply and divide integers using counters, number lines and rules.

Decimal place value; compare and order; number lines; round to specified accuracy.

Add/subtract/multiply/divide decimals; estimation; evaluate expressions.

Equivalent fractions; lowest terms; LCD; compare; convert; round mixed numbers.

Estimate to solve; multi-step word problems; use Venn diagrams.

Add and subtract fractions and mixed numbers with like and unlike denominators.

Multiply and divide fractions and mixed numbers; reciprocals.

Rational numbers on number lines; convert; compare; order; all four operations.

Write and simplify ratios; equivalent ratios; unit rates; compare rates; solve proportions by cross multiplication.

Percent models; convert between %, fractions, decimals; estimate and find % of numbers; what % is one of another; word problems.

Order of Operations

Percentages

Compare and order integers; add and subtract negative numbers on a number line.

Apply number skills to multi-step real-world contexts: money, rates, percentages, and mixed operations.

Represent natural numbers in expanded notation using place value and powers of 10; evaluate and write powers of 10.

Discrete vs continuous data; interpret stem-and-leaf plots; create stem-and-leaf; dot plots; circle graphs with central angles; line graphs; choose best graph type.

Calculate mean, median, mode, range; find statistics from charts; find missing value given mean; identify outliers; justify choice of centre measure.

Design statistical investigations and report findings.

Sample space; simple probability P = favourable/total; mutually exclusive and overlapping events; experimental vs theoretical; predictions.

Conduct repeated chance experiments and run simulations.

Four-quadrant coordinate plane; graph and read points; identify quadrants; follow directional moves.

Classify polygons; triangles by angles and sides; parallelograms, trapeziums, rectangles, rhombuses; full quadrilateral taxonomy; classification algorithms.

Lines of symmetry; rotational symmetry; identify reflections, rotations, translations; graph transformed images; sequences of transformations.

Bases and faces of prisms and pyramids; nets; orthographic views; cross-sections; 2D representations of 3D objects.

Use decision-tree algorithms to sort and classify two-dimensional shapes by their properties.

Identify arithmetic and geometric sequences; find next term, common difference/ratio; nth term formula; word problems.

Write, evaluate and simplify variable expressions; like terms; distributive property; equivalent expressions; substitute into formulas.

Check solutions; write equations from words; model with tiles; solve one-step and two-step equations; word problems.

Test ordered pairs; complete tables from rules; match rule to graph; interpret line graphs in context.

Substitute values into everyday formulas (P = 2l+2w, A = lw, V = lwh) and evaluate.

Rearrange formulas with several variables to make a different variable the subject.