Cheat sheets

GA-06Cheat sheet1 pageIn a paid pack

Ratios, Percentages, Profit and Interest

The quantitative engine of GA: ratios and proportion (combining ratios, dividing in a ratio, direct and inverse proportion, partnership), percentages as multipliers, successive change, undoing a change, profit, loss, marked price and discount, simple and compound interest with the two- and three-year difference formulas, compounding periods, and the fraction-to-percent table used for estimation. Every example is original and recomputed by script.

GA-07Cheat sheet1 pageIn a paid pack

Averages, Mixtures, Work and Speed

Ratio and percentage applications that GA word problems use: averages through totals (corrections, newcomers, consecutive numbers), weighted averages, mixtures by alligation and repeated replacement, work and pipes as added rates, man-days, wages, speed, average speed, relative speed for trains and circular tracks, boats and streams, late-early problems and ages. Original examples, every number recomputed by script.

GA-08Cheat sheet1 pageIn a paid pack

Powers, Logarithms and Estimation

Exponent laws with their conditions, fractional and negative exponents, surds and rationalising, comparing large powers by a common base or exponent, solving exponential equations, logarithm laws and domain, change of base, the four logarithm values worth memorising, digit counts and leading zeros, unit-digit cycles, doubling and half-life, and estimation with a stated error. Original examples, every number recomputed by script.