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One question, answered directly, with the method worked underneath.
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Sixteen topics from across our Grade 1–10, GCSE and SAT teaching, each written as a single question with a direct answer and a worked method. They are the explanations our tutors give in lessons, written down.
- How to Learn Times TablesMathematicsStart with the 2, 5 and 10 tables, use the swap rule to halve the work, build hard facts from near ones, then drill only the ten or so that stay slow.
- How to Do Long DivisionMathematicsDivide, multiply, subtract, bring down — the four-step cycle repeated once per digit. A full worked example of 4728 ÷ 12, plus how to handle remainders.
- How to Convert Between Fractions, Decimals and PercentagesMathematicsDivide top by bottom for a decimal, multiply by 100 for a percentage, and reverse both to go back. Worked conversions for 3/8, 0.375, 37.5%, 45% and 9/20.
- How to Solve Basic Algebra EquationsMathematicsClear brackets, gather letters on one side and numbers on the other, then divide. A full worked solution of 3(2x + 1) = x + 18, with the check that proves it.
- How to Solve Simultaneous EquationsMathematicsScale the equations until one letter's coefficients match, add or subtract to remove it, then substitute back. Full worked solution of 3x + 2y = 19 and 4x − 5y = 10.
- How to Solve Quadratic EquationsGCSE MathematicsRearrange to ax² + bx + c = 0, factorise into two brackets, or use the quadratic formula. Worked examples of x² + 5x = 24 and 3x² + 5x − 1 = 0, both checked.
- How to Use Pythagoras' TheoremMathematicsAdd the squares to find the hypotenuse, subtract to find a shorter side. Worked examples with a 5-12-13 triangle and a hypotenuse of 10, plus the converse test.
- How to Use SOHCAHTOAGCSE MathematicsLabel opposite, adjacent and hypotenuse, tick the two sides that matter, then pick the ratio that uses both. Worked examples finding a side and finding an angle.
- What Is Probability and How Do You Calculate It?MathematicsProbability runs from 0 to 1. Count favourable outcomes over the total, use 1 − P(A) for the opposite, multiply for "and", add for "or", adjust without replacement.
- What Is Photosynthesis?SciencePlants use light energy to build glucose from carbon dioxide and water, releasing oxygen. The equation, the two stages, and the factors that limit the rate.
- What Are the Parts of a Cell and What Do They Do?ScienceNucleus, mitochondria, ribosomes, membrane — what each organelle does, how prokaryotic and eukaryotic cells differ, and what plant cells have that animal cells lack.
- How to Read the Periodic TableScienceSeven periods, eighteen groups, ordered by atomic number. What each box tells you, why a group shares its chemistry, and where the metals and non-metals sit.
- What Are Newton's Three Laws of Motion?ScienceAn object keeps its velocity unless a resultant force acts; that force equals mass times acceleration; and forces come in equal, opposite pairs on two objects.
- How to Structure an EssayEnglishWrite the thesis first, order the reasons, build each paragraph on one idea with evidence and explanation, and close by readdressing the argument you made.
- How to Improve Reading ComprehensionEnglishPreview the text, read in short chunks and retell each one, notice where understanding stops, and answer questions by returning to the line that proves it.
- What Is on the Digital SAT Math Section?SAT PreparationTwo 35-minute modules, 44 questions, calculator throughout. Algebra and Advanced Math are 35% each; Problem-Solving and Data Analysis and Geometry 15% each.