Practice
Question sets with every step of the working shown, not just the answer.
The short answer
Practice sets across Grade 1–10 mathematics and science, GCSE and IGCSE mathematics and the Digital SAT. Each set works from foundation questions up to stretch, shows every line of the method, and names the specific mistakes the questions are built to expose.
Mathematics
- Times Tables Practice Questions and AnswersGrades 3–5Twelve mixed questions covering multiplication and division, aimed at the facts that actually stall, with the build-from-a-near-fact route shown for each one.
- Column Multiplication Practice Questions, Laid Out in FullGrades 3–6Twelve column multiplications from 34 × 6 to 486 × 37, each answer showing both partial products and the placeholder zero, so a misaligned digit can be traced.
- Roman Numerals Practice Questions, Both Ways to 1,000Grades 3–6Twelve questions converting both ways to 1,000, covering IV, IX, XL, XC, CD and CM, plus years, ordering, and the clock dial that prints IIII rather than IV.
- Equivalent Fractions Practice Questions, Naming the Factor Every TimeGrades 3–6Eleven questions on missing numerators, simplifying to lowest terms and ordering unlike fractions, each answer naming the factor or denominator it used.
- Long Division Practice Questions with Worked AnswersGrades 4–6Ten divisions from 96 ÷ 4 up to 9013 ÷ 24, set out line by line, with every remainder written three ways: as a remainder, a fraction and a decimal.
- Converting Fractions, Decimals and Percentages: Practice QuestionsGrades 4–7Twelve conversion questions worked in all three directions, including 1/3 and 1/6, where the decimal recurs and the rounding is stated rather than hidden.
- Estimation Practice Questions: Is Your Estimate Too Big or Too Small?Grades 4–7Twelve estimation questions rounded to one significant figure, each worked against the exact value so you can see whether the estimate lands high or low.
- Adding and Subtracting Fractions, Up to Borrowing in Mixed NumbersGrades 4–7Twelve questions from same-denominator sums to mixed numbers needing borrowing, each answer showing the common denominator chosen and the final simplification.
- Negative Numbers Practice Questions, From Ordering to Two Minus SignsGrades 5–8Twelve questions on ordering, temperature change and all four operations, with the two-minus-signs rule shown on a number line before it turns into a shortcut.
- BIDMAS Practice Questions Where Left to Right Gives the Wrong AnswerGrades 5–8Twelve expressions chosen so working left to right fails, each solved one operation per line, including division before multiplication and a nested bracket.
- Prime Factorisation Practice Questions, With the Square-Root Stopping RuleGrades 5–8Twelve questions on factor pairs, primality testing and factor trees in index form, including why testing whether 97 is prime stops at 9 rather than at 96.
- Multiplying Fractions Practice Questions, Cancelling Before You MultiplyGrades 5–8Twelve questions on fraction times fraction, fraction times whole number and mixed numbers, with cross-cancelling done before the multiplication, not after.
- Basic Algebra Practice Questions with Worked AnswersGrades 6–8Twelve questions on collecting like terms, substitution and one- and two-step equations. Every solution shows the inverse operation and ends with a check.
- Probability Practice Questions with AnswersGrades 6–8Twelve questions built on written-out sample spaces: single events, complements, two coins, two dice and a bag drawn with and without replacement.
- HCF and LCM Practice Questions, By Prime Factors and By VennGrades 6–9Twelve questions worked two ways, by prime factorisation and by Venn diagram, ending with bus and tiling problems where you must decide which one is wanted.
GCSE Mathematics
- Pythagoras' Theorem Practice Questions and AnswersGrades 8–10Twelve questions finding the hypotenuse, a shorter side, a ladder height, a rectangle diagonal and a cuboid space diagonal, each naming the hypotenuse first.
- Simultaneous Equations Practice Questions and SolutionsGrades 9–10Ten pairs solved by elimination and substitution, including a line meeting a curve, each checked in the equation that was not used to find the second value.
- Quadratic Equations Practice Questions with Worked SolutionsGrades 9–10Twelve quadratics with the route chosen for each: factorising, completing the square or the formula, plus one where a negative discriminant ends the question.
- SOHCAHTOA Practice Questions with Worked AnswersGrades 9–10Twelve right-angled triangle questions, missing sides and angles, each labelling opposite, adjacent and hypotenuse first and showing the calculator keystrokes.
Science
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