Maths by topic

Every question in the bank, filed by what it drills. 168 of them, across 23 topics.

• number53

  • Place value 11What a digit is worth because of where it sits — and the difference between naming the place and giving the value.
  • The four operations 21Add, subtract, multiply, divide — usually two or three of them in one question, in the right order.
  • Factors and multiples 8What divides into a number, and what a number divides into. The common ones are where the questions live.
  • Remainders 3What is left over, and what that leftover tells you about the number.
  • Number patterns 10Find the rule, then use it — usually for a term far enough along that counting is not an option.

• fraction23

  • Equivalent fractions 4The same amount written two ways, and how to see which two are the same.
  • Adding and subtracting fractions 2Same denominator first, then the ones that need making the same.
  • A fraction of an amount 17Three eighths of forty — and the trap of answering the part given away when the question asks what is left.

• decimal4

  • Comparing decimals 1Which is bigger, and why the number of digits after the point does not decide it.
  • Adding and subtracting decimals 3Line up the points, not the ends.

• measurement29

  • Length 2Millimetres to kilometres, and the conversions that hide inside a longer question.
  • Mass 2Grams and kilograms, usually as one step of a problem about something else.
  • Volume 1Millilitres and litres, and cubes counted rather than measured.
  • Time 7Durations, start and end times, and the twenty-four-hour clock that makes them easy.
  • Rate 1How much per one — the step that turns a total into a price, a speed or a share.
  • Money 16Dollars and cents in a word problem, which is where almost every one of these lives.

• geometry41

  • Angles 11Right angles, turns, and the ones that add to a straight line or a full turn.
  • Area and perimeter 26The space inside and the distance round — and the shared edge that is counted twice by mistake.
  • Symmetry 4Lines of symmetry, and folding a figure to see what lands on what.

• data11

  • Tables and graphs 11Reading a number off a chart, then doing something with it — the second half is the question.

• word-problem36

  • The bar model 36Drawing the sentence before solving it. When someone gives someone else something, this is the method.

• logic34

  • Counting without losing count 18How many rectangles, how many routes — counting something easier that gives the same answer.
  • Reasoning it out 16No formula to reach for: work out what must be true, then what follows.