Mental-maths lessons from everyday basics through Olympiad theory - each with the method, worked examples, the mistakes to avoid, and free adaptive practice.
Learn how to add numbers to 10 with the count-on method, worked examples, common mistakes to avoid, and practice for Gra
BasicsLearn every pair of numbers that make 10, with a simple count-up method, worked examples, and the three slips that trip
BasicsLearn to order numbers to 20 from smallest to greatest, name neighbours, and fill gaps — with worked examples, tricky te
BasicsLearn subtraction within 10 the easy way: count back for small take-aways, count up when numbers are close. Worked examp
OlympiadMaster the laws of indices: product, quotient, power-of-a-power, zero and negative index rules, with worked examples, cl
OlympiadMaster multi-step percentage problems: successive changes, layered bases and reverse percentages, using the multiplier m
OlympiadLearn to find the nth-term rule of linear and quadratic number sequences using first and second differences — with worke
OlympiadSolve two-step algebra equations by undoing operations in reverse order. Grade 10 worked examples, sign-trap fixes, and
BasicsLearn to add two-digit numbers within 100: line up ones and tens, add each column, and carry a ten the moment the ones r
BasicsCount coins and notes, add money amounts, and dodge the classic dollars-and-cents mix-ups. Grade 2 money denominations w
BasicsLearn to double numbers in grade 2 — add a number to itself, double two-digit numbers with carrying, dodge common mistak
BasicsLearn to skip count by 2s, 5s and 10s with clear steps, worked examples, and a ones-digit trick to check every answer. G
BasicsLearn two-digit subtraction within 100, including when and how to borrow a ten. Clear steps, worked examples, and the mi
SchoolLearn addition with regrouping (carrying) for grade 3: step-by-step method, worked examples, and the common carry mistak
SchoolLearn grade 3 division facts the fast way: read each one as a backwards times table, spot fact families, and dodge the o
SchoolLearn subtraction with regrouping (borrowing) for grade 3: when to regroup, how to borrow across zeros, worked examples,
SchoolLearn the 2, 3, 4, 5 and 10 times tables the mental-maths way — the pattern behind each one, worked examples, the mistak
SchoolDivide by 12 with confidence. Learn the split-the-12 trick, the past-100 facts (108, 120, 132, 144), worked examples, an
SchoolFactors divide a number exactly; multiples are its times-table. Learn to find every factor using pairs and dodge four co
SchoolLearn to multiply by 10, 100 and 1000 by shifting digits, not just adding zeros. Grade 4 method, worked examples, common
SchoolMaster the times tables to 12, including the tricky 6, 7, 8, 9, 11 and 12 tables, with a split-and-add method, worked ex
SchoolLearn division with remainders for Grade 5: find the quotient, work out the leftover, and check the remainder is smaller
SchoolLearn long multiplication for multi-digit numbers: the shifting-zero trick, four worked examples, and the four slips tha
SchoolLearn order of operations for Grade 5: brackets, then × and ÷, then + and −. Clear steps, worked examples, and the mista
SchoolLearn to round whole numbers to the nearest 10, 100 and 1000 with a simple one-digit rule, worked examples, and the tric
SchoolLearn how to find the mean (average): add the values, divide by how many there are, and check your answer. Grade 5 worke
SchoolMaster the Grade 5 unitary method: divide to find the value of one, then multiply to scale up. Worked examples, common m
SchoolLearn how to find equivalent fractions and simplify to lowest terms using the GCF, with grade-6 worked examples, tricky
SchoolLearn to add decimals the reliable way: line up the decimal point, pad with placeholder zeros, carry, and check by round
SchoolAdd fractions with like and unlike denominators the right way: find a common denominator, add the numerators, simplify.
SchoolLearn to share an amount in a given ratio: add the parts, find one part, then scale up. Worked examples, common mistakes
SchoolLearn speed = distance ÷ time and its two rearrangements, with grade-6 worked examples, unit-conversion tricks, and the
SchoolFind any percentage of a number fast with 10% and 1% building blocks. Master reverse percentages and percent-of-a-percen
SchoolLearn to multiply decimals the reliable way: multiply the digits, then count decimal places. Worked examples, percentage
SchoolLearn to multiply fractions: go straight across, cancel first, turn percentages into fractions, and use one sanity check
SchoolMaster integers and negative numbers for Grade 7: subtracting negatives, ordering negatives, and MMO-style word problems
SchoolLearn grade-7 profit and loss: cost price, selling price, and why profit percent is always calculated on the cost price.
SchoolLearn simple interest for grade 7: the SI = PRT/100 formula, converting time to years, amount vs interest, worked exampl
SchoolMaster BODMAS for Grade 8: precedence over left-to-right reading, powers and brackets, plus discount, sales tax and perc
SchoolGrade 8 guide to discounts and marked price: find the selling price, reverse-calculate the marked price, and see why 20%
SchoolMaster integer operations for Grade 8: double-negative and sign-precedence traps, BODMAS with negatives, and discount, t
SchoolMaster percentage increase and decrease with the multiplier method: compound changes, discounts, VAT, reversing a change
SchoolMaster direct vs inverse proportion for Grade 8: scale ratios and products the right way, and apply discounts, sales tax
SchoolMaster Grade 8 tax and sales tax calculations: added vs inclusive tax, discount-then-sales tax, and finding the rate — w
OlympiadLearn compound interest the grade-9 way: apply the (1+r) growth factor each year, tell amount from interest, and dodge t
OlympiadLearn to evaluate algebraic expressions: substitute values, apply BODMAS, and beat the -3² vs (-3)² sign trap with worke
OlympiadMaster HCF and LCM: prime factorisation, the HCF x LCM product law, and how to pick the right one in word problems (buse
OlympiadMaster multi-step word problems: find the hidden step, order operations correctly, and avoid the tempting shortcuts on i
OlympiadSolve linear equations step by step: clear fractions, collect terms, isolate x. See why the sign flips when a term cross