Complex numbers
Powers of i, modulus and conjugate: the reflexes that save time on any complex-number calculation.
Click a card to see its answer. Series no. 771101 — this page’s address gives these exact cards again.
Other series
Areas and perimeters
Working out the area or the perimeter of the usual shapes — square, rectangle, triangle, disc — without opening the formula sheet.
Arithmetic with signed numbers
Adding, subtracting and multiplying signed numbers, where the signs trip up the reflexes.
Decimal form of simple fractions
Going from a simple fraction to its decimal form and back to the fraction, in your head, without long division.
Discriminant and roots
Discriminant, sum and product of the roots of a quadratic, read straight off the coefficients.
Fractions in lowest terms
Reducing a fraction to its lowest terms by spotting the common divisor at a single glance.
GCD and LCM
Finding the greatest common divisor and the least common multiple of two whole numbers, without writing out the factorisation.