Here you will find exercises for the seventh grade.
Exercises and articles about fractions — from the basics (halves, thirds, quarters) through sixths to improper fractions and mixed numbers.
Tenths and hundredths — what 0.5 and 1.25 mean. Decimal point, reading and comparing decimals.
Read percentages from a 100-grid, convert friendly fractions and decimals to percents, and find common percentages of a whole number.
Percent change (increase and decrease), discounts, tax and tips, simple interest, percent error of measurement, and per mille. For grade 7.
Place negative numbers on a number line, compare and order integers, count back through zero, absolute value, and solve temperature word problems.
Sign rules for +, −, × and ÷ with positive and negative integers; simple multi-step expressions with the order of operations. For 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.
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.
Write ratios in their simplest form, fill in the missing term of an equivalent ratio, compute unit rates, and solve direct-proportion problems.
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.
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).
Mean, median, mode and range of a small data set. Reading a histogram, pie chart and dot plot.
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.
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.