7 resources.
Quick tests to check whether a number is divisible by 2 through 12, with worked examples.
Squares from 1 to 30 and cubes from 1 to 20, with last-digit patterns, mental squaring shortcuts, and how to find square and cube roots of perfect powers.
Practice questions on adding fractions and mixed numbers, with worked solutions.
Percentages: combining scores correctly, mental shortcuts, increase and decrease, successive changes, reverse percentages, percentage points, worked examples and common mistakes.
Simplifying ratios, dividing in a given ratio, combining ratios, testing a proportion, mean and fourth proportionals, and direct vs inverse proportion, with worked examples.
Simple and compound interest: the formulas, year-by-year compounding, and solved examples on part-year interest, finding the principal or time, quarterly compounding, changing rates and population growth.
Five worked Math Olympiad-style problems for grade 7: a Fibonacci-like sequence, an exponent equation, percentages with overlap, consecutive integers, and clock arithmetic.