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Learn to find discount and discount per cent from the marked price, work out a marked price that allows both a discount and a profit, combine successive discounts correctly, and add GST to a discounted price.
Read articleLearn to find profit or loss per cent from cost and selling price, work out the selling price from a required percentage, recover the cost price from the selling price, and handle overhead expenses and two-article problems.
Read articleLearn to calculate percentage increase and decrease, find the value after two successive changes, apply percentages to population growth, depreciation and marks, and solve mixture, income and savings problems.
Read articleLearn to convert between fractions, decimals, ratios and percentages in both directions, find a percentage of a quantity and express one quantity as a percentage of another, and recover the whole when only a part is known.
Read articleLearn to find the union, intersection and difference of two sets, draw and read Venn diagrams, verify De Morgan's laws and the distributive property, and solve counting problems with the union formula.
Read articleLearn to write a set in roster and set-builder form, classify sets as empty, singleton, finite, equal or equivalent, count subsets with the two-to-the-n rule, and find the complement of a set in a universal set.
Read articleLearn every divisibility test from 2 to 11 and when to use each, find the missing digit that makes a number divisible by a given number, and see why each test works using place value.
Read articleLearn to write a two-digit or three-digit number in generalised form, prove the reversal and cyclic results that follow from it, and solve cryptarithm puzzles where letters stand for digits.
Read articleLearn to test whether a number is a perfect cube, cube negative numbers, fractions and decimals, find cube roots by prime factorisation and from the last digit, and find the smallest multiplier or divisor that makes a perfect cube.
Read articleLearn to find a square root by prime factorisation and by long division, handle fractions and decimals and round to a given number of places, find the least number to add or subtract to reach a perfect square, and solve area and row problems.
Read articleLearn which unit digits a perfect square can and cannot have, square any two-digit or three-digit number using algebraic identities and the column method, and use the odd-number and Pythagorean patterns.
Read articleLearn to solve exponential equations by making the bases the same, write very large and very small numbers in standard form and back again, evaluate expressions with rational bases and reciprocals, and compare quantities with exponents.
Read articleLearn what positive, zero and negative exponents mean and how to convert between exponential and expanded form, apply all the laws of exponents to simplify expressions, and clear negative exponents from a rational base.
Read articleLearn to add and subtract rationals using the LCM, multiply and divide them with reciprocals, test the closure, commutative, associative and distributive properties, and solve word problems using the additive inverse.
Read articleLearn what makes a number rational and how to write it in standard form, place positive and negative rationals on a number line, compare and order them reliably, and insert as many rationals as you like between any two.
Read articleLearn what animal husbandry involves and how indigenous cattle breeds differ from exotic ones, how poultry is managed and what the White Revolution achieved, what pisciculture, sericulture and apiculture each produce, and how bacteria and fungi make food.
Read articleLearn to tell kharif crops from rabi ones by their season and water needs, follow the six agricultural practices in order, compare manure with chemical fertiliser, and see why crop rotation keeps soil fertile.
Read articleLearn what first aid is for and the rules that apply to every case, the correct response to bleeding, burns, fractures and snake bite, what to do about drowning and electric shock, and why tobacco, alcohol and drugs do lasting damage.
Read articleLearn what a disease is and which ones spread, match each named disease to the kind of germ that causes it, follow the five routes by which infection travels, and see how each route is blocked.
Read articleLearn the structure and functions of the spinal cord and what protects it, tell the central, peripheral and autonomic systems apart, trace an impulse round a reflex arc, and sort reflexes into natural and acquired.
Read articleLearn why the body needs coordination and which two systems provide it, label a neuron and state what each part does, tell sensory from motor and relay neurons, and place the cerebrum, cerebellum and medulla oblongata.
Read articleLearn the four chambers of the heart and where each valve sits, trace the whole path of blood through both circuits, understand heartbeat, pulse and the heart's own pacemaker, and see what tissue fluid and lymph do.
Read articleLearn what blood is made of and what each component does, follow the chain of reactions that seals a cut, understand the ABO groups and the Rh factor, and compare arteries, veins and capillaries.
Read articleLearn what adolescence and puberty mean and when each begins, trace every physical change back to testosterone or oestrogen, understand the emotional changes and what actually helps, and see why diet and hygiene matter more at this age.
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