Pop every multiple of 7. Leave the impostors floating.
Multiples of 7 have no neat digit trick, unlike 2, 5 or 10, so this one is pure recall plus a check. Run up the table in steps of 7 and see whether your number appears: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70. If it does not appear, it is not a multiple, however close it looks. The traps here were 27 (just under 28), 40 (between 35 and 42), 44 (between 42 and 49) and 54 (between 49 and 56). When you are unsure, find the nearest multiple you do know and count on in sevens from there.
What to say if they get stuck
Say the seven times table under your breath: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
A number is a multiple of 7 only if 7 divides into it with nothing left over.
Watch out for the near misses. 27, 40, 44 and 54 all sit between two multiples of 7 without being one.
Work the expression out one operation at a time. Tap the operation that has to happen next.
This engine’s own main skill is Order of operations. It practises calculate a whole-number operation alongside it.
Brackets come first, so before anything else happens. That leaves the rest of the line to finish, and comes to 81. Reading it straight from left to right gives 144 instead, which is why the order is the whole question.
What to say if they get stuck
Anything inside brackets is a parcel. It has to be opened before the rest of the line can move.
Multiplying and dividing happen before adding and subtracting, however far along the line they sit.
Reading straight from left to right gives 144, which is not the same thing.
Build the answer one step at a time. Choose an operation, then choose the two numbers it works on.
This engine’s own main skill is Solving a problem in more than one step. It practises calculate a whole-number operation alongside it.
Step 1 works out the pens that arrived: 60. Step 2 works out the pens left once the broken ones go: 56. Step 3 works out the pens one class gets: 7. So the answer is 7 pens. Doing the steps the other way round does not work, because the second step needs the first one's answer before it can start.
What to say if they get stuck
You cannot get there in one go. What can you work out first, from two numbers the story already gives you?
Once a step is done, its answer sits on the bench and can be used by the next step.
This problem takes 3 steps. The last one ends with pens.
How calculate a whole-number operation differs from the skills beside it
The same exercise practises several skills, and telling them apart is often the difficulty rather than the exercise itself. On this page the skill is: calculate one stated addition, subtraction, multiplication, or division, and it stops where excludes choosing the operation from a multi-step context.
Questions parents ask about calculate a whole-number operation
Answered from what the skill map records about this skill, not from a template. Every answer here is on the page, and the same questions are the page's FAQ structured data.
Calculate one stated addition, subtraction, multiplication, or division. It is one of 55 named maths skills in the 11+, in the number strand, and this page carries 3 interactive exercises that practise it.
Calculate with the numbers the bars show, not with the number of bars on the chart. The wrong answers on this skill are built out of that, not out of random numbers, so it is worth naming out loud before your child meets it under time pressure.
Point at the next move rather than explaining the whole rule. Read the Draughts bar off the scale first, then split that number into 5 equal groups.
The skill map draws the line here: Excludes choosing the operation from a multi-step context. A question past that line is testing a different named maths skill, which is worth knowing before you spend a week practising the wrong one.
The number strand holds 13 skills that are tested together, and the pages next to calculate a whole-number operation are compare and order numbers, continue a number sequence and divide whole numbers or decimals. Each has its own exercise and its own link, and none of them needs an account.
Use Pop the Number, BIDMAS Machine and Step Builder, embedded on this page. They are the exercises the skill map attaches to calculate a whole-number operation, they run in the browser with no account to make, nothing is scored, and nothing a child does here is recorded or sent anywhere. Each also has its own link, so you can send one to a child without sending them anywhere else first.
Knowing which maths topic to practise is most of the work
A free diagnostic covers arithmetic, fractions, geometry, measure and data handling, and comes back with the topics to spend the next few weeks on.
