Scotland · CfE Second–Fourth Level

Maths practice for
every BGE topic

Randomised questions with answers and worked solutions, covering the full Curriculum for Excellence. The Number & Arithmetic, Algebra and Statistics & probability strands are fully live now — Geometry is being built and will appear here when it is complete.

Filter by level:
🎉
Number, Algebra and Statistics are fully live!
Randomised questions, worked solutions and mixed practice across every Number, Algebra and Statistics topic. Statistics questions are tagged to show when a calculator is useful. Geometry is under way.

Choose a topic to practise

Ready topics expand to show focused sub-topics. Click any sub-topic to start practising.

⚔
Mixed Practice
Test yourself across topics — exam-style preparation
ready
Mixed Practice — Number & Arithmetic
All levels
ℕ
Number & Arithmetic
All number topics across 2nd, 3rd and 4th Level
Fully complete
ready
Place value & number
2nd / 3rd level
ready
Rounding
2nd / 3rd / 4th level
Decimal places → Significant figures →
ready
Multiples, factors & primes
2nd / 3rd level ready
Order of operations
2nd / 3rd level
ready
Integers & directed numbers
2nd / 3rd level
Number lines & ordering → Adding & subtracting → Multiplying → Dividing → Mixed →
ready
Fraction, decimal & % equivalents
2nd / 3rd level
Decimal → Fraction (1-2 dp) → Decimal → Fraction (3-4 dp) → Fraction → Decimal (easy) → Fraction → Decimal (harder) → Fraction → Percentage (easy) → Fraction → Percentage (harder) → Decimal ↔ Percentage →
ready
Fractions
2nd / 3rd level
Simplifying & equivalent → Improper fractions & mixed numbers → Fraction of an amount → Ordering fractions & FDP → Adding → Subtracting → Multiplying → Dividing → Mixed →
ready
Decimals
2nd / 3rd level
Adding → Subtracting → Multiplying → Dividing → Mixed →
ready
Percentages
3rd / 4th level
Without a calculator → With a calculator → Fractions to percentages → Finding a percentage → Percentage change → Reverse percentages → Mixed →
ready
Ratio & proportion
3rd / 4th level
Simplifying ratio → Finding a missing value → Sharing in a ratio →
ready
Powers & roots
3rd / 4th level
Squares & cubes → Square & cube roots → Index laws → Mixed →
ready
Standard form
4th level
Converting to standard form → Converting from standard form → Calculating in standard form → Mixed →
ready
Time & money problems
2nd / 3rd level
𝑥
Algebra
Equations · expressions · graphs · sequences
Fully complete
ready
Collecting like terms
2nd / 3rd level ready
Evaluating expressions
3rd / 4th level
ready
Expanding brackets
3rd / 4th level
Single brackets — basic → Negative factors → Expand and simplify → Brackets with powers → Higher powers → Double brackets →
ready
Factorising
3rd / 4th level
HCF warm-up → Numerical common factor → Common factor of \(x\) → Combined factor → Difference of two squares →
ready
Solving equations
3rd / 4th level
One-step equations → Two-step equations → Other equation forms → Two-step — extending → Unknowns on both sides → Equations with brackets → Forming equations — perimeters → Forming equations — areas →
ready
Inequalities
4th level
Reading number lines → Matching diagrams → Solving — one-step → Solving — two-step → Double inequalities →
ready
Formulae & substitution
3rd / 4th level
Substitution — single variable → Substitution — multiple variables → Real formulae → Changing the subject — basic → Changing the subject — multi-step →
ready
Sequences
3rd / 4th level
Spot the sequence → Linear sequences — next terms → Visual growing patterns → Finding the nth-term rule → Using the rule — substitution → Decreasing linear sequences → Using the rule — from two terms →
ready
Straight line graphs
3rd / 4th level
Tables of values → On the line? → Gradient from a graph → Gradient — plotted points → Gradient from coordinates → Special lines →

No topics match this level yet — check back soon!