7️⃣ 7th Grade
Here you will find interactive math exercises for 7th 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.
Integers — operations
Sign rules for +, −, × and ÷ with positive and negative integers; simple multi-step expressions with the order of operations. For grade 7.
Fractions
Exercises and articles about fractions — from the basics (halves, thirds, quarters) through sixths to improper fractions and mixed numbers.
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.
Percentages — change, discount, interest
Percent change (increase and decrease), discounts, tax and tips, simple interest, percent error of measurement, and per mille.
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.
Algebraic expressions (grade 7)
Work with linear expressions: combine like terms, distributive property (expand and factor), substitution with multiple variables, and power laws for same-base exponents. For grade 7.
Linear equations (grade 7)
Solve linear equations of the form px + q = r, p · (x + q) = r, equations with the unknown on both sides, and word problems translated into equations. Plus simple one-step linear inequalities. For grade 7.
Circle measurements
Circumference and area of a circle using π ≈ 3.14: compute the circumference from the radius, the area from the radius, recover the radius from a given circumference, and solve short word problems (pool, wheel, pie).
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).
Combinatorics — introduction
A first taste of combinatorics without formulas: systematic listing of options, counting arrangements from a small set, counting combinations with a tree diagram, and counting pairs from n items.
Probability — introduction (Year 7)
A first taste of probability for Year 7: the probability of a simple event written as a fraction, experimental vs theoretical probability, compound events for a coin and a die, the sample space of two coins, and estimating a population from a random sample.
Word problems
Multi-step word problems mixing signed rational numbers, multistep percent (discount + tax, percent change), rule of three (direct and inverse proportion) and three- to four-step scenarios.