Get the app

Foundations

Pythagoras laying the first row of stone blocks of a foundation on a sunny building site

The basics every Arithmetic Reasoning and Math Knowledge question is built on: place value, working by hand, negative numbers, fractions, decimals, percents, factors and units. If any of these feels shaky, start here: there is no calculator on the test.

Part 1 of the course · 11 topics · 165 practice questions · Free

  1. 1Place value, rounding and comparingWhat each digit is worth, how to round, and how to tell which number is bigger.14 min · 15 questions · 12 cards
  2. 2Multiplying and dividing by handMulti-digit multiplication and long division with pencil and paper, and how to check them.15 min · 15 questions · 12 cards
  3. 3Negative numbersThe number line, adding and subtracting negatives, the sign rules and absolute value.13 min · 15 questions · 12 cards
  4. 4Mental math and estimatingTricks to add and multiply in your head, and estimating to rule out answer choices.13 min · 15 questions · 12 cards
  5. 5What a fraction is: simplify, compare, orderWhat the two numbers mean, equal fractions, simplest form, comparing, and mixed numbers.15 min · 15 questions · 12 cards
  6. 6Adding and subtracting fractionsSame denominators, the least common denominator, mixed numbers, borrowing and word problems.14 min · 15 questions · 12 cards
  7. 7Multiplying and dividing fractionsMultiply straight across, cancel first, and divide with keep, change, flip.14 min · 15 questions · 12 cards
  8. 8DecimalsLine up the point, count the places, move both points: decimals without a calculator.14 min · 15 questions · 12 cards
  9. 9Fractions, decimals and percentsSwitch between fractions, decimals and percents both ways, and pick the easiest form.15 min · 15 questions · 12 cards
  10. 10Primes, factors, GCF and LCMDivisibility rules, primes, factor trees, and when a word problem needs the GCF or the LCM.17 min · 15 questions · 12 cards
  11. 11Units and measurementLearn the facts, then multiply to a smaller unit and divide to a bigger one.15 min · 15 questions · 12 cards
Part testFoundations test20 questions at test level. Take it when you finish the lessons.