Grade 5 (Year 5) maths practice: solving linear equations, including ones with fractions, simultaneous equation word problems, order of operations with brackets, percentages, average speed and work-rate problems, the area of irregular polygons, volume by counting cubes, 3D shape puzzles, and probability. Every question is new each time it is set.
Nth largest and smallest numbers: Practise ordering numbers made from digits: what is the third largest 4-digit number from 7, 4, 3 and 2? New digits every time, with a solution video.
Estimating fractions of large numbers: Practise estimation: which number is closest to three-quarters of a million? A new fraction and a new set of choices every time.
Moving towards each other: Practise speed problems where two people move towards each other and a dog runs between them: find the time first. With a narrated solution video.
Average speed there and back: Practise average speed for a round trip at two speeds: whole distance over whole time, not the two speeds halved. With a narrated solution video.
Percentage of a grid: Practise percentages with shaded grids of 100, 50, 25 and 20 squares: what percentage is shaded, or left blank? A new grid every time.
Work and time problems: Practise work and time problems: if 25 artists draw 2 portraits in 5 hours, how long for 8? New workers and tasks every time, with a solution video.
Buying and selling problems: Practise reverse profit problems: given the selling price, number sold and profit, find the buying price. New stories and prices every time.
Cook it faster: A pan holds 3 pancakes: what is the shortest time to cook 4 on both sides? Keep the pan full and beat cooking in batches. With a video.
Order of operations: brackets: Practise the order of operations with brackets: 5 × (11 − 7), (28 + 2) ÷ 6. A new expression every time, with a narrated solution video.
Solving linear equations: Practise solving one-variable linear equations like 9x − 30 = 12x − 9, with the unknown on both sides. New equations every time, with a video.
Linear equations with fractions: Practise solving one-variable equations with fraction coefficients, collecting the terms over a common denominator. New equations every time.
Consecutive number problems: Practise consecutive number problems: three numbers 3 apart add up to 294 - what are they? New numbers every time, with a narrated solution video.
Simultaneous equation word problems: Practise word problems with two unknowns: prices of two items, two heights, two ages. Solve them together. New stories every time, with a video.
Balance: same on both sides: Practise 'do the same to both sides' with balance puzzles: one cone has the same mass as how many cubes? New puzzles every time.
Area of an irregular polygon: Practise finding the area of an irregular polygon drawn on a grid by splitting it into rectangles and triangles. With a narrated solution video.
Missing triangle in a square: A point inside a square is joined to its corners, making four triangles. Find the missing area. New numbers every time, with a narrated video.
Volume by counting cubes: Practise volume by counting unit cubes in a 3D solid, including the ones you can't see. A new solid every time.
3D shapes: side view: Practise visualising 3D objects: from the front and top views of a cube stack, which side view could it have? A new object every time.
Rectangle in a quarter circle: A geometry puzzle: a rectangle's diagonal inside a quarter circle is just the radius. Spot the shortcut, new numbers every time, with a video.
Painted cube puzzle: A big cube is painted and taken apart: how many small cubes have paint on 3, 2, 1 or no faces? Layer-by-layer working and a video.
Rope around the Earth: Make a tight string round a coin or the Earth a little longer: how big is the gap? Distance round is about 3 times across. With a video.
Can dominoes cover the board?: Two squares are cut from a board: can dominoes still cover it? Colour it like a chessboard and count. Yes or no, with a narrated video.
Probability of picking two: Practise probability by listing pairs: pick 2 of 5 boxes, 1 with a prize. Tick the pairs that fit, count them, and write the chance as a fraction. With a video.
True, false or no information: Practise reading survey tables critically: is each claim true, false, or not something the data can tell you? New surveys every time.