Drills
10-question drills for all 40 types, with instant feedback — the correct answer and a one-line trick after each question. Drill scores are for the session only; they are not saved. Fresh variants are dealt every time.
Early paper
DigitsPlace values, digit products and digit sums.
Order of operationsMixed + − × ÷ in one line.
Quick add & subtractTwo- and three-term addition and subtraction.
Quick multiply & divideMultiplication, division, and triple products.
RemaindersDivision with a remainder.
Roman numeralsConvert Roman numerals to Arabic.
Squares & cubesSquares (early) and cubes (mid) of small bases.
Middle paper
Arithmetic sequencesnth term, term count, and sums.
Base conversionsDecimal, binary, and octal conversions.
Counting multiplesHow many multiples of k lie in a range.
DecimalsDecimal multiply, divide, and powers of ten.
Decimals to fractionsTerminating and repeating decimals as fractions.
Estimation (±5%)Estimate a product, quotient, or sum within 5%.
Exact rootsSquare roots, cube roots, and root products.
Fractions: add & subtractAdd and subtract fractions, incl. three unit fractions.
Fractions: compare & reduceWhich fraction is greater; reduce to lowest terms.
Greatest common divisorGCD of a pair.
Least common multipleLCM of a pair.
Mean, median & modeMean, median, or mode of a short list.
Mixed-number multiplicationMixed numbers times fractions.
Multiplication tricksDifference of squares and near-round-number products.
Percent as a fractionFractional percents, e.g. 16⅔% of a number.
Percent of a numberx% of N.
Rectangles & squaresArea and perimeter, incl. squares from perimeter.
Unit conversionsYards, hours, ounces, days, feet.
Units digitUnits digit of a power or a product.
Late paper
Advanced exponentsFractional exponents, exponent equations, exponent juggling.
CirclesArea and radius, incl. π-cancelling cases.
CombinationsChoose k from n.
Counting outcomesCoin flips and subsets.
Dice probabilityProbability of a sum, product, or event on two dice.
DivisorsHow many divisors; sum of distinct prime divisors.
Geometric sequencesnth term and infinite sums.
Polygon anglesInterior sums, exterior angles, side from perimeter.
PrimesNext prime, previous prime, sums of primes.
Root estimationEstimate square and cube roots, incl. roots of products.
SolidsPrism and cube surface area; sphere radius and diameter.
Solve, then evaluateSolve for x, then evaluate an expression in x.
Trapezoids & rhombusesTrapezoid area; rhombus perimeter from diagonals.
TrianglesArea, perimeter from leg + area, isosceles-right triangles.