Grade 4 (Year 4) maths practice: negative numbers, decimals on a number line, fractions, percentages and ratios, speed, distance and time, discounts and profit, order of operations, growing patterns, the area of triangles, symmetry, reflections and rotations, reading a protractor, coordinates and compass directions, pie charts, Venn diagrams and probability. Every question is new each time it is set.
Negative numbers on a number line: Practise negative numbers with a number line story: how far behind the start line did the ball land? New players and distances every time.
Halfway between two numbers: Practise finding the number exactly halfway between two others, including across zero, with a number line to count on. New numbers every time.
Missing digits in long multiplication: Practise reasoning with long multiplication: find the digits P and Q in PQ × QP from the working shown. A new puzzle every time, with a solution video.
What fraction is it?: Write a part of a whole as a simplest fraction: the vowels on a sign, $2.50 of $20, 40 minutes of an hour. New every time, with a narrated solution video.
Decimals on a number line: Practise reading decimals on a number line labelled only at its ends, in tenths, quarters and hundredths. A new line every time.
Equivalent fractions, percentages and ratios: Practise matching a fraction to its equivalent percentage, ratio and 'out of' forms: choose all the correct ones. New values every time, with a video.
Rate tables: Practise turning a word problem into a table: saving $15 a month, using 16 boxes a week. Fill the blank cells. New stories every time.
Calculating speed: Practise calculating average speed from distance and time, with supercars, cheetahs, lions and whales. New numbers every time, with a solution video.
Calculating distance: Practise calculating distance from speed and time, with supercars and fast animals. New numbers every time, with a narrated solution video.
Calculating travel time: Practise calculating how long a journey takes from distance and speed, with supercars and fast animals. With a narrated solution video.
Moving walkway speed: Practise relative speed: walking with a moving walkway the speeds add, against it they take away. Speeds and times, new every time, with a video.
Profit and loss from a table: Practise profit and loss with a shop's stock table: cost price, selling price and quantity. Profit, loss or break-even, and how much? With a video.
Best price after discount: Practise percentage discounts: four stores, four marked prices, four discounts. Which is cheapest and which is dearest? With a solution video.
Take-away game (logic): Practise a winning strategy: players take turns to take a few things, and taking the last one wins (or loses). Find the move that is sure to win, with a video.
Growing patterns: Practise patterns where each jump grows: 4, 10, 18, 28 goes up by 6, 8, 10. Carry it on to find a later step. New every time, with a narrated solution video.
Doubling every day: Practise doubling: 60¢ a day, or 2¢ that doubles every day? Fill the table day by day to see which plan wins. New every time, with a narrated solution video.
Bigger start or bigger raise?: Practise comparing two growing plans: $17 a week going up $1, or $11 going up $5? Find when the bigger raise catches up. With a narrated solution video.
Order of operations: × and ÷ first: 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.
Balance beam problems: 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.
Distances along a line: Practise reasoning with lengths: A, B, C and D are on a line, three distances are given - find the distance from B to D. With a solution video.
Missing side of a rectangle: Practise finding a rectangle's missing length or breadth from its perimeter or area. New sizes every time, with a narrated solution video.
Rectangle sides from a ratio: Practise finding a rectangle's length and breadth when they're in a ratio like 6 : 4 and the area is known. A new rectangle every time, with a video.
Area of a right triangle: Practise the area of a right-angled triangle drawn on a grid: half the base times the height. A new triangle every time, with a solution video.
Area of an isosceles triangle: Practise the area of an isosceles triangle drawn on a grid: half the base times the height. A new triangle every time, with a solution video.
Area of a scalene triangle: Practise the area of a scalene triangle on a grid, using half base times height or the surrounding rectangle. With a narrated solution video.
Symmetry on a grid: Practise line symmetry: tap squares on a grid to make a pattern symmetrical about the x-axis, the y-axis, or both. With a narrated solution video.
Rotations and reflections: Practise transformations: a pattern is rotated 180° then 90° anticlockwise - which picture shows the result? One or two steps each time.
Reading a protractor: Practise measuring angles with a protractor: read acute and obtuse angles, and the angle between two arms. A new angle every time.
Parallel and perpendicular lines: Practise spotting parallel and perpendicular lines at any angle: which of the four lines is parallel to the green one? A new picture every time.
Parts of a circle: Practise naming the parts of a circle: radius, diameter, chord, arc, sector, segment and circumference. A new picture every time.
Draw without lifting your pencil: Can this shape be drawn in one go? Count the lines at each corner: 0 or 2 odd corners means yes. Tap to trace it. With a narrated video.
Can these sticks make a triangle?: Three sticks: do they make a triangle? The two shorter ones must add up to more than the longest. Free practice with a narrated video.
Circles on a coordinate grid: Practise coordinates with circles: find the centre, radius and diameter of a circle drawn on a grid with four quadrants. With a solution video.
Rectangle corners from coordinates: Practise coordinates and area: two corners of a rectangle and its area are given - find the other two corners. A new rectangle every time.
Compass directions on a map: Practise eight-point compass directions on a town map: which place is north-west of the fire station? A new map every time.
Compass turns: Practise turning on an eight-point compass: a robot faces south-east and turns 90° clockwise. Which way now? New every time, with a narrated solution video.
Map distances on a grid: Practise map scale without a printed scale: 24 km is four squares, so how far is the next town? New maps and distances every time.
Pie charts with percentages: Practise reading pie charts labelled in percentages: how many prefer soccer out of 1,200 students? New surveys every time, with a solution video.
Pie charts with numbers: Practise reading pie charts labelled with counts: what percentage chose an option, and how many didn't? New surveys every time, with a solution video.
Venn diagram problems: Practise two-circle Venn diagrams: in a class of 30, 18 have a pet, 15 a bike and 3 neither, so how many have both? With a narrated solution video.
Probability with coins and dice: Practise probability: what is the chance of at least 1 five when 2 dice are tossed? Coins and dice, answered as a fraction.
Does the coin remember?: Eight tails in a row: is heads due? Practise chance with coins, dice and spinners after a streak. Free, a new question every time, with a video.