Twelve expressions with three operations in each — parentheses, then multiplying and dividing, then adding and taking away — with space to work down the page a step at a time.
Work out each answer. Parentheses first, then × and ÷, then + and −.
1.(1 + 7) × 12 − 12 =
2.8 + 9 × 6 − 12 =
3.6 + 2 × 5 − 3 =
4.6 × 1 + 5 × 10 =
5.3 + 1 × 6 − 8 =
6.3 + (9 − 6) × 10 =
7.3 + (10 − 2) × 4 =
8.3 + 2 × 9 − 7 =
9.4 × 1 + 8 × 11 =
10.12 × 9 + 5 × 4 =
11.(12 + 12) × 9 − 12 =
12.12 + (2 − 1) × 11 =
Order of operations
NameDate/ 12
Work out each answer. Parentheses first, then × and ÷, then + and −.
1.(1 + 7) × 12 − 12 =84
2.8 + 9 × 6 − 12 =50
3.6 + 2 × 5 − 3 =13
4.6 × 1 + 5 × 10 =56
5.3 + 1 × 6 − 8 =1
6.3 + (9 − 6) × 10 =33
7.3 + (10 − 2) × 4 =35
8.3 + 2 × 9 − 7 =14
9.4 × 1 + 8 × 11 =92
10.12 × 9 + 5 × 4 =128
11.(12 + 12) × 9 − 12 =204
12.12 + (2 − 1) × 11 =23
What is on this sheet
Every number on this sheet is positive and none of them is squared, on purpose. Order of operations, negative numbers and powers are three lessons, and a page that asked for more than one of them at a time would tell you a child had got it wrong without telling you which of the three they had got wrong. The integers sheet is where the signs come in, and squares and cubes are a setting of their own in the builder.
The rule is not really a rule about left and right; it is about which operations bind their neighbors tightest. Writing each line out underneath the last — one operation resolved per line — is slower and it is what turns this from a page of tricks into a page of arithmetic. That is why there is room under each expression rather than a slot beside it.
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. Each individual step on this page is a fact The Grid deals.