GCD and LCM

Sixteen questions with unlike denominators, answered as fractions in lowest terms. Answer key on its own sheet.

Eight products and eight quotients of fractions, answered in lowest terms. Answer key on its own sheet.

Eighteen questions of three kinds: the share as a percentage, the change in percent and the price after a discount. Calculator allowed.

Twelve right triangles, mixed: sometimes the hypotenuse is asked for, sometimes a leg. The key works the first question step by step.

Eighteen questions on four figures. Sometimes the area is asked for, sometimes a side or the height when the area is given. Quantities carry name and letter.

Eight areas and eight circumferences. Answers round to one decimal, so a calculator is allowed and the sheet says so.

Twenty questions on four solids. The volume is asked for in most; in some the volume is given and an edge or the height is asked for instead.

Ten equations of the form ax + b = c and six with x on both sides. The answers are whole numbers, some of them negative. Writing space under each question, and the first one worked in the key.

Six questions of each kind: favourable outcomes over possible ones, the chance that something does not happen, and two independent events both happening.

Twelve questions on one relation, but what is asked for changes: sometimes the speed, sometimes the distance, sometimes the time. The key works the first one.

Eight questions on density and eight on pressure. Each is one quantity divided by another, and in both the one asked for changes. Calculator allowed.

Eight questions on Ohm's law, six on power and four on energy. Voltage, current, resistance and power take turns being asked for. Calculator allowed.

Twelve questions where drawing, reality and scale swap places: sometimes the scale is asked for, sometimes the real length, sometimes the length on the drawing.

Sixteen questions on the perimeter of rectangles, squares, triangles and regular polygons. Sometimes a side is asked for when the perimeter is given.

Sixteen questions on the angle sum of triangles, quadrilaterals and polygons, and on vertical angles. Mostly a missing angle is asked for.

Six questions on similar triangles and ten on how area and volume change when the lengths change.

Sixteen questions with negative numbers: adding, subtracting, multiplying and dividing. The sign rules are what is practised.

Sixteen questions on converting between fractions, decimals and percent, and on mixed numbers.

Six questions on direct proportion, six on sharing in a given ratio and four on equal fractions.

Sixteen questions on the surface area of cubes, cuboids and prisms.

Eight questions on the volume of a pyramid, four on a sphere and four on a cube. Sometimes the height or the radius is asked for.

Six questions on what electricity costs, five on power and five on energy. The units change in every question. Calculator allowed.

Sixteen lists of numbers: six means, five medians and five modes. No calculator. The first one is worked.

Six questions per rule. The formulas are hidden on the sheet, so it tests whether the rules are known; the key prints them.

Twenty questions across five laws, no calculator. The answer is a number rather than a power, so the laws have to be used to get there.

Five questions per law, no calculator: the numbers are chosen so the logarithms come out exact and the laws are the only way to the answer.

Eight equations of the form x² + px + q = 0, four discriminants and four with the abc formula. Writing space under each question, and the first one worked in the key.

Six questions per definition. An angle and a side are given and the side beside them is asked for, to one decimal. Calculator allowed.

Eight questions on the equation of a line, asking for x, y or the intercept, and eight on the slope between two points, sometimes asking for a coordinate.

Six questions on the multiplier, six on the change as a percentage and six where one change follows another. Calculator allowed.

Six questions on simple interest and six on compound interest. Sometimes the interest is asked for, sometimes the capital you started with. Calculator allowed.

Ten questions with the power rule and six with the derivative of eˣ. Each asks for the derivative at a point, so the answer can be checked as a number.

Seventeen questions on force: F = ma, weight, friction and Hooke's law.

Sixteen questions on work, kinetic energy, potential energy and mechanical power.

Ten questions on terms of arithmetic and geometric sequences and six on their sums.

Six questions on exponential growth, six on half-life and four exponential equations. Calculator allowed.

Six questions with the sine rule, six with the cosine rule and four on the area of a triangle with sine. Calculator allowed.

Ten questions on converting between degrees and radians, three on arc length and three on sector area. Calculator allowed.

Six questions on the distance between two points, six on the midpoint and four on the slopes of perpendicular lines.

Eight questions on the moment of a force and eight on moment equilibrium, where a force or a lever arm is asked for.

Eight questions on how much a material expands when the temperature changes and four on converting between celsius and kelvin.

Six questions on the relation between pH and pOH, six on the pH of a weak acid and four on buffers. Calculator allowed.

Six questions on sound level from intensity, six from sound pressure and four on intensity as power per area. Calculator allowed.

Eight questions on frequency and period, six on wave speed and four on the period of a pendulum. The first one is worked as an example. Calculator allowed.

Sixteen questions: angular velocity, angular velocity from frequency, speed along the circle and centripetal acceleration. The first one is worked as an example. Calculator allowed.

Six questions on concentration c = n/V, four on amount of substance, three on dilution and three on mass percent. The first one is worked. Calculator allowed.

Eight questions on the factorial n!, four on the mean and four on the variance of a binomial distribution. The first one is worked. Calculator allowed.

Eight questions with efficiency worked from useful and supplied energy, and eight from power. The first one is worked. Calculator allowed.

Four questions on the relation between pKa and pKb, six on the pH of a weak acid and six on buffers. The first one is worked. Calculator allowed.

Sixteen questions on the length of a vector, addition, multiplication by a scalar and the dot product. The first one is worked. Calculator allowed.

Sixteen questions on acceleration, v² = v₀² + 2as, distance at constant acceleration and free fall. The first one is worked. Calculator allowed.

Eight questions on the vertex form and eight on the vertex and axis of symmetry from the coefficients. No calculator. The first one is worked.

Fifteen questions on the relations in the unit circle: sin(90° − v), cos(180° − v), sin(−v), tangent as a quotient and the Pythagorean identity. Exact values, no calculator. The first one is worked.

Four questions on momentum, four on impulse and eight on collisions where momentum is conserved. The first one is worked. Calculator allowed.

Sixteen questions on the surface area of the cylinder and the volume, lateral area and surface area of the cone. The first one is worked. Calculator allowed.

Four questions on each: the sum rule, the product rule, the quotient rule and the chain rule. No calculator. The first one is worked.

Sixteen lists of numbers: four ranges, six variances and six standard deviations. Calculator allowed. The first one is worked.