Apprenticeship & Trade Entrance Test Math: Mental Arithmetic, Fractions, Percentages, Units, Areas & Volumes and Word Problems

What you'll build

What you will be able to do

Each lab ends with a concrete result that you build yourself and the checker confirms, cell by cell.

• Apply the order of operations to two classic test traps, estimate a workshop order with rounded prices and measure how far the estimate is from the exact total.
• Convert fractions to decimals, write fractions in simplest form with a given GCD helper column, add two fractions over a common denominator and take a fraction of an amount.
• Solve the four percentage question types that appear in almost every entrance test: a percent of an amount, a percent change, a discount followed by a surcharge and the original price before a discount.
• Solve a direct and an inverse proportion, split a mix by its ratio and combine two work rates – the four rule-of-three patterns behind most practical test questions.
• Convert lengths, masses, areas, volumes and times with one lookup formula on a unit table, write minutes as hours and minutes and cut a rope given in metres into pieces given in centimetres.
• Calculate a composite L-shaped floor, a triangular gable, a round tabletop and the volume of a cylindrical tank in litres – the shapes that appear again and again in trade test questions.
• Turn four typical word problems into formulas: an order with a discount, an arrival time from distance and speed, the price of a mixture and the number of tile boxes for a floor with waste.
• Score two timed mock tests, compare the scores of both sets, build a weak-topic report with the share of correct answers per topic and highlight the questions that took longer than the target time.