Units
All 8 units of Math 8. Each one has a concepts page to learn from, practice questions marked as you go, and quizzes built at random.
Unit 1
Unit 1: Square roots and the Pythagorean theorem
Perfect squares as the areas of squares, square roots as their sides, and pinning √50 between two whole numbers without a calculator. Then the Pythagorean theorem: finding a missing side of a right triangle, and checking whether a corner is really square.
Unit 2
Unit 2: Multiplying and dividing integers
Why a negative times a negative is positive, shown with patterns and repeated addition; dividing integers as multiplying run backwards; and the order of operations when some of the numbers are negative.
Unit 3
Unit 3: Multiplying and dividing fractions
Multiplying and dividing fractions and mixed numbers, why dividing by a fraction less than 1 gives a bigger answer, and working out which operation a word problem is really asking for.
Unit 4
Unit 4: Percents, ratios and rates
Percents over 100% and under 1%, percent increase, and a discount followed by GST; part-to-part and part-to-whole ratios, proportions and map scales; and unit rates for finding the better buy.
Unit 5
Unit 5: Linear equations and graphs
Solving equations such as −6x = 42, x/4 − 3 = 2 and 3(x + 4) = 27, and checking every answer; writing the equation for a word problem; and reading a linear relation from its table and graph, inside the data and beyond it.
Unit 6
Unit 6: Nets, surface area and volume
Nets that fold into prisms and cylinders, surface area as the total area of every face, and volume as the area of the base times the height, for rectangular prisms, triangular prisms and cylinders.
Unit 7
Unit 7: Views and congruence
Top, front and side views of objects built from cubes, and working out an object from its views. Then congruent polygons: matching corresponding sides and angles, and why equal sides alone do not always fix a shape.
Unit 8
Unit 8: Data and probability
How a graph can mislead without a single wrong number — a cut-off scale, uneven intervals, a 3-D tilt, a hand-picked time range — and which graph suits which data. Then the probability of two independent events, found with a table, a tree diagram or by multiplying.
Studying for the exam?
Mix every unit together
Build a random quiz drawn from all 96 questions across every unit, at the level you choose. It is the closest thing here to a real exam.