Free maths practice by topic

Over 150 kinds of question, from grade 1 to grade 8, each generated fresh every time it is set, so a child can practise the same skill again and again without repeating a question. Most have step-by-step working or a narrated solution video. All of it is free.

Number sense and place value

• Tens and ones (Grade 1)
• Comparing numbers (<, = and >) (Grade 1)
• Hundreds, tens and ones (Grade 2)
• Odd and even numbers (Grade 2)
• Writing numbers in digits (Grade 3)
• Place value (Grade 3)
• Smallest and largest numbers (Grade 3)
• Rounding on a number line (Grade 3)
• Making numbers with 1, 2, 4 and 8 (Grade 3)
• Negative numbers on a number line (Grade 4)
• Halfway between two numbers (Grade 4)
• Nth largest and smallest numbers (Grade 5)

Addition and subtraction

• Single-digit addition and subtraction (Grade 1)
• Ten frames: making 10 and 20 (Grade 1)
• Number bonds (Grade 1)
• Jumps on a number line (Grade 1)
• Money word problems on a number line (Grade 2)
• Column addition with carrying (Grade 2)
• Column addition (Grade 3)
• Column subtraction (Grade 3)
• Subtracting with regrouping (Grade 3)
• Split the total (Grade 3)

Multiplication and division

• Multiplication as equal groups (Grade 2)
• Division by sharing and grouping (Grade 2)
• Arrays (equal rows) (Grade 2)
• Multiplying whole numbers (Grade 3)
• Short division (Grade 3)
• Matching multiplication sentences to pictures (Grade 3)
• Fact family triangles (Grade 3)
• Times table grid (Grade 3)
• Area model multiplication (Grade 3)
• Multiplying by multiples of ten (Grade 3)
• Highest common factor (HCF) (Grade 3)
• Lowest common multiple (LCM) (Grade 3)
• Missing digits in long multiplication (Grade 4)

Word problems

• Adding and subtracting stories (Grade 2)
• Toy shop shopping lists (Grade 2)
• Multi-step word problems (Grade 3)
• Multiplication word problems (Grade 3)
• Division word problems (Grade 3)
• Toy shop word problems (Grade 3)
• How many did they buy? (Grade 3)
• Bar models (two-step problems) (Grade 3)
• Swap the empties (word problems) (Grade 3)
• Fence post problems (Grade 3)
• Two groups, one total (Grade 3)

Fractions

• Equal shares (halves and quarters) (Grade 1)
• Adding fractions (Grade 3)
• Subtracting fractions (Grade 3)
• Simplifying fractions (Grade 3)
• Comparing fractions (Grade 3)
• Multiplying fractions (Grade 3)
• Dividing fractions (Grade 3)
• Fractions on a number line (Grade 3)
• Shading a fraction of a grid (Grade 3)
• Fraction word problems (Grade 3)
• Fraction wall (Grade 3)
• Pattern block fractions (Grade 3)
• Fraction of a set (Grade 3)
• What fraction is it? (Grade 4)
• Estimating fractions of large numbers (Grade 5)

Decimals

• Adding decimals (Grade 3)
• Subtracting decimals (Grade 3)
• Multiplying decimals by whole numbers (Grade 3)
• Multiplying and dividing by 10, 100 and 1000 (Grade 3)
• Decimals on a number line (Grade 4)

Ratio, rates and percentages

• Equivalent fractions, percentages and ratios (Grade 4)
• Rate tables (Grade 4)
• Calculating speed (Grade 4)
• Calculating distance (Grade 4)
• Calculating travel time (Grade 4)
• Moving walkway speed (Grade 4)
• Moving towards each other (Grade 5)
• Average speed there and back (Grade 5)
• Percentage of a grid (Grade 5)
• Work and time problems (Grade 5)

Money and profit

• Counting coins (Grade 2)
• Profit or loss (Grade 2)
• Buying and selling the same thing again (Grade 3)
• Making change from the coins you have (Grade 3)
• Keeping a running total of money (Grade 3)
• Profit and loss from a table (Grade 4)
• Best price after discount (Grade 4)
• Buying and selling problems (Grade 5)
• Selling price to reach a target (Grade 6)

Patterns, sequences and logic

• Skip counting (Grade 1)
• Repeating patterns (Grade 1)
• Hundred chart: 10 more and 10 less (Grade 1)
• Number sequences (Grade 2)
• Number machines (Grade 2)
• Multiples on a hundred chart (Grade 3)
• Ordering from clues (logic) (Grade 3)
• How many to be sure? (logic) (Grade 3)
• Truth-tellers and fibbers (logic) (Grade 3)
• Logic grid puzzles (Grade 3)
• Take-away game (logic) (Grade 4)
• Cook it faster (Grade 5)
• Growing patterns (Grade 4)
• Doubling every day (Grade 4)
• Bigger start or bigger raise? (Grade 4)

Algebra and order of operations

• Balancing number sentences (Grade 2)
• Order of operations: multiply first (Grade 3)
• Multiplication shortcuts (distributive law) (Grade 3)
• Order of operations: × and ÷ first (Grade 4)
• Balance beam problems (Grade 4)
• Order of operations: brackets (Grade 5)
• Solving linear equations (Grade 5)
• Linear equations with fractions (Grade 5)
• Consecutive number problems (Grade 5)
• Simultaneous equation word problems (Grade 5)
• Balance: same on both sides (Grade 5)
• Order of operations: multi-step (Grade 6)
• Solving quadratic equations (Grade 7)
• Solving cubic equations (Grade 8)

Time and calendars

• Telling the time: o'clock and half past (Grade 1)
• Elapsed time on a clock (Grade 3)
• Reading a calendar (Grade 3)
• Setting a clock to the minute (Grade 3)
• Counting days forward and back (Grade 3)
• Adding and subtracting hours and minutes (Grade 3)
• Elapsed time across noon (Grade 3)
• Ordering activities by duration (Grade 3)
• Birth year and age (Grade 3)

Measurement

• Ordering by length (Grade 1)
• Measuring with a ruler (Grade 2)
• Converting units (Grade 3)
• How much is left? (mixed units) (Grade 3)
• Reading a measuring jug (Grade 3)
• Reading a kitchen scale (Grade 3)
• Distances along a line (Grade 4)

Area, perimeter and volume

• Area by counting squares (Grade 2)
• Area and perimeter of a square (Grade 3)
• Area and perimeter of a rectangle (Grade 3)
• Area with half squares (Grade 3)
• Area of an L-shape (Grade 3)
• Perimeter of an L-shape (Grade 3)
• Draw a rectangle with a given area and perimeter (Grade 3)
• Missing side of a rectangle (Grade 4)
• Rectangle sides from a ratio (Grade 4)
• Area of a right triangle (Grade 4)
• Area of an isosceles triangle (Grade 4)
• Area of a scalene triangle (Grade 4)
• Area of an irregular polygon (Grade 5)
• Missing triangle in a square (Grade 5)
• Volume by counting cubes (Grade 5)

Shapes and angles

• Sides and corners of 2D shapes (Grade 2)
• Faces, edges and vertices (Grade 3)
• Sorting quadrilaterals (Grade 3)
• Turning and flipping letters (Grade 3)
• Counting squares of every size (Grade 3)
• Inside or outside the loop (Grade 3)
• Which piece fills the gap? (Grade 3)
• Symmetry on a grid (Grade 4)
• Rotations and reflections (Grade 4)
• Reading a protractor (Grade 4)
• Parallel and perpendicular lines (Grade 4)
• Parts of a circle (Grade 4)
• Draw without lifting your pencil (Grade 4)
• Can these sticks make a triangle? (Grade 4)
• 3D shapes: side view (Grade 5)
• Rectangle in a quarter circle (Grade 5)
• Painted cube puzzle (Grade 5)
• Rope around the Earth (Grade 5)
• Can dominoes cover the board? (Grade 5)
• Angles in a circle (Grade 6)
• Inscribed circle in a right triangle (Grade 8)

Coordinates and maps

• Circles on a coordinate grid (Grade 4)
• Rectangle corners from coordinates (Grade 4)
• Compass directions on a map (Grade 4)
• Compass turns (Grade 4)
• Map distances on a grid (Grade 4)
• Map scale and Pythagoras (Grade 8)
• Graphing linear inequalities (Grade 8)

Data, graphs and probability

• Sort and count (Grade 1)
• Bar graphs (Grade 2)
• Reading pictographs (Grade 3)
• Line plots (Grade 3)
• Averages from a bar chart (Grade 3)
• Pie charts with percentages (Grade 4)
• Pie charts with numbers (Grade 4)
• Venn diagram problems (Grade 4)
• Probability with coins and dice (Grade 4)
• Does the coin remember? (Grade 4)
• Probability of picking two (Grade 5)
• True, false or no information (Grade 5)