6️⃣ 6th Grade
Here you will find interactive math exercises for 6th grade. Every topic has auto-generated problems with instant feedback and the option to create your own test. Pick a topic and start practising.
Topics
Negative numbers — introduction
Place negative numbers on a number line, compare and order integers, count back through zero, absolute value, and solve temperature word problems.
Introduction to decimals
Tenths and hundredths — what 0.5 and 1.25 mean. Decimal point, reading, comparing and rounding, plus adding, subtracting, multiplying and dividing decimals.
Percentages — introduction
Read percentages from a 100-grid, convert friendly fractions and decimals to percents, and find common percentages of a whole number.
Ratios and direct proportion
Write ratios in their simplest form, fill in the missing term of an equivalent ratio, compute unit rates, and solve direct-proportion problems.
Coordinates in the first quadrant
Plot and read points (x, y) on a coordinate grid. Describe positions and translations on a grid.
Expressions and one-step equations
Write expressions with a variable, evaluate expressions by substituting a value, solve one-step equations (x + a = b and a · x = b), and rewrite using the distributive property.
Angles and their sums
Classify angles by size, read an angle from a protractor, work out a missing angle in a triangle or quadrilateral, and identify vertical and supplementary angles.
Parallelogram and trapezoid
Compute the perimeter and area of a parallelogram (A = b·h) and a trapezoid (A = ((a+c)/2)·h). Classify a quadrilateral as a square, rectangle, rhombus, parallelogram or trapezoid.
Surface area and volume of a prism
Compute the surface area and volume of a cuboid (SA = 2(ab+bc+ac), V = a·b·c) and a cube (SA = 6a², V = a³), the volume of a general prism (V = base area × height), and convert volume units (m³, dm³, cm³, L).
Statistics
Mean, median, mode and range of a small data set. Reading a histogram, pie chart and dot plot.
Word problems — Year 6
Multi-step word problems combining fractions, decimals, percentages and ratios into real-world contexts — shopping, recipes, savings and comparisons.