From balancing number sentences in grade 2 to the order of operations, equations with one and two unknowns, and quadratic and cubic equations.
Practise the equals sign as 'the same as': pick the number that makes both sides of a balance level, like ? − 4 = 3 + 5. With a solution video.
Practise the order of operations: multiply before you add or subtract, as in 3 + 5 × 9. A new expression every time, with a narrated solution video.
Practise spotting shortcuts like 749 × 215 + 215 × 9251 = 215 × 10,000. A new expression every time, with step-by-step working and a video.
Practise the order of operations with all four operations: 60 − 42 ÷ 7, 4 × 4 + 7 × 4. A new expression every time, with a solution video.
Practise early algebra with a balance: 6 cylinders balance 2 cones; one cone is 9 kg - what does a cylinder weigh? New objects and masses every time.
Practise the order of operations with brackets: 5 × (11 − 7), (28 + 2) ÷ 6. A new expression every time, with a narrated solution video.
Practise solving one-variable linear equations like 9x − 30 = 12x − 9, with the unknown on both sides. New equations every time, with a video.
Practise solving one-variable equations with fraction coefficients, collecting the terms over a common denominator. New equations every time.
Practise consecutive number problems: three numbers 3 apart add up to 294 - what are they? New numbers every time, with a narrated solution video.
Practise word problems with two unknowns: prices of two items, two heights, two ages. Solve them together. New stories every time, with a video.
Practise 'do the same to both sides' with balance puzzles: one cone has the same mass as how many cubes? New puzzles every time.
Practise three-step order of operations (BODMAS/PEMDAS): (4 + 6) × 7 − 9, 30 − 12 ÷ 4 × 3. New expressions every time, with a solution video.
Practise solving quadratic equations x² + px + q = 0 with whole-number roots by factoring. A new equation every time.
Practise solving cubic equations with whole-number roots: find every value that makes it zero. A new equation every time.