This is the sheet that makes everything after it possible. A child who can see that 3/4 and 6/8 are one number, written twice, can add unlike fractions, simplify an answer and compare two fractions without a calculator; a child who cannot is doing all three by a rule they will forget over a summer.
Whatever you do to the top you do to the bottom — but only multiplying and dividing, never adding. That is worth saying while the sheet is being worked, because 3/4 and 4/5 look convincingly like the same fraction with one added to each half, and every child tries it once.
The answers were worked out when the problems were, so the key is the same page with the answers drawn in rather than a second attempt at the same questions — there is no way for the two to disagree. The number in the footer is the seed the sheet was built from: it is printed so that the identical sheet can be had again next week, rather than one that merely looks like it.
Change what is on it
This page is one sheet out of a family that can print thousands, and the settings behind it — how many problems, how big the numbers get, how they are laid out, whether there is room to work — are all switches. The builder link at the top of the page carries this sheet’s own settings, so the bench opens on exactly the sheet here rather than on a blank one.
The configuration travels in the address bar rather than on a server, so the link can be bookmarked or sent to somebody as it stands — and what they open is this sheet, down to the seed, rather than another one like it.
The same facts, on screen
Not in the games. The nearest thing on screen is the times tables in The Grid, which is what the scaling on this sheet is made of.