School maths
The topics covered around ages ten to twelve, with the working shown.
These are the topics that come up between about years five and seven: place value, rounding, long division, prime factors, Roman numerals, the unitary method, and simple interest. What they have in common is that the method is the point. Nobody is marked on knowing that 9,452 divided by 7 is 1,350 remainder 2; they are marked on the working that gets there.
So every page here sets out the steps a teacher would expect to see, in the order they would expect to see them, rather than only reporting an answer. Use them to check a piece of homework, or to see where a method went wrong when the answer came out close but not right.
- Divisibility Which numbers divide in exactly, and the rule that tells you without dividing.
- Long division The quotient, the remainder, and every step of the working in between.
- Number in words Any number written out, in both the international and Indian systems.
- Place value What each digit of a number is worth, and where it sits.
- Prime factors Break a number into the primes it is made of, in index form as well.
- Profit & loss Profit or loss from cost and selling price, as an amount and as a percentage.
- Roman numerals Numbers to Roman numerals and back, with the pieces it was built from.
- Rounding Round to any place, and see which digit decided it.
- Simple interest Interest on the original sum only, with compound shown beside it for comparison.
- Times table The full table for any number, as far up as you need it.
- Unitary method Find what one costs, then find what any number costs.