Build 60% of 60 marbles on the board, then work out 60% of 40 without it.
This engine’s own main skill is Finding a Percentage of a Quantity. It practises find a percentage of a quantity alongside it.
Per cent means "out of a hundred", so 60% is . Both numbers divide by 20, which leaves - the same share, with far fewer groups to cut. The bottom number is how many equal groups the whole pile is cut into and the top number is how many of those groups you keep. , so one group holds 8 marbles, and 3 groups hold . The groups add straight back up to 40 with nothing left over.
Step 1. Cut it up. Cut 60 marbles into 5 equal groups.
Step 2. Take your share. Now light up 3 of those 5 groups.
Step 3. A new pile. The board is covered. What is 60% of 40 marbles?
What to say if they get stuck
60% cancels: both numbers divide by 20, leaving . Cut the pile into 5 groups, not 100.
How find a percentage of a quantity 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 familiar percentage of a quantity, and it stops where excludes percentage change.
Questions parents ask about find a percentage of a quantity
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 familiar percentage of a quantity. It is one of 55 named maths skills in the 11+, in the fractions, decimals and percentages strand, and this page carries 1 interactive exercise that practises it.
The percentage number is not the answer on its own. 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. Turn 25% into a fraction of the whole first, then apply that fraction to 180.
The skill map draws the line here: Excludes percentage change. 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 fractions, decimals and percentages strand holds 9 skills that are tested together, and the pages next to find a percentage of a quantity are identify a represented fraction, locate an equivalent value and multiply fractions. Each has its own exercise and its own link, and none of them needs an account.
Use Quantity Split, embedded on this page. It is the exercise the skill map attaches to find a percentage of a quantity, it runs in the browser with no account to make, nothing is scored, and nothing a child does here is recorded or sent anywhere. It also has its own link, so you can send it 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.
