Logic Masters · Ages 11 to 12
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Logic Masters · Ages 11 to 12
All Logic Masters gamesRatio Divide Share Sim
Share an amount in a given ratio by finding what one share is worth first. For ages 11 to 12.
SimulationDivide an amount in a given ratio~11 min per level5 levelsAll devices
- Free · no account required
- COPPA compliant
- +10 XP per level
- 5 levels
- Plays on all devices
- Curriculum-aligned
The learning journey
Every activity is one step. Here is where this one fits.
- Play(you are here)Learn the idea in a game
- PractiseLock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Ratio Divide Share Sim
Ratio Divide Share Sim walks the standard method for sharing an amount in a ratio, one step at a time. Add the parts of the ratio to find how many shares there are altogether, divide the total by that to find what a single share is worth, then multiply back up for whichever part the question asks for. Laid out like that it is three short steps, and the reason this topic causes so much trouble is that students skip the first one. Asked to share sixty in the ratio two to three, a very large number of them divide sixty by two, or by three, and produce thirty or twenty — numbers that are the right sort of size, arrive quickly, and are completely wrong. Nothing about the answer signals the mistake, which is why it survives so long. This game therefore shows the number of shares as its own line in the table, and offers the divide-by-a-ratio-number answer as one of the options every single time, so a student making that error lands on it deliberately rather than being marked down for something nobody has named for them. Sharing in a ratio is a staple of UK exam papers and is almost entirely unserved by interactive material, which is why the plan flags it. Questions alternate between asking for the larger and the smaller part, so the answer can never be found by taking whichever number looks bigger. Free, no sign-up, no advertising to children.
Where to go next
Chosen by the skills this activity practises.
Next — more of the same skill
Printable worksheets for this skill
A hand for grown-ups
- Before you start
- Something you can cut or fold helps enormously — paper, fruit, a sandwich. A half you can see beats a half you are told about.
- While they work
- Keep coming back to "equal parts". A shape split into unequal bits is the classic fractions trap.
- Afterwards
- Fold a piece of paper into halves, then quarters, together. Watching the pieces double is a lightbulb moment for many children.
- Watch out for
- Thinking a bigger bottom number means a bigger fraction (that 1/8 > 1/4). Cutting a real thing into 8 vs 4 pieces settles it fast.
- Away from the screen
- Cut food into equal parts at mealtimes. Fold paper. Talk about "half" and "quarter" of everyday things.
How to play
A question appears on screen
A maths question is shown in large text at the centre of the play area. A timer bar begins counting down from 130 seconds.
Choose the correct answer
Answer options are shown as large buttons. Tap or click the correct option. Any input method works — touch, mouse or keyboard.
Build your streak
Each consecutive correct answer increases your streak. A longer streak lights up the flame icon and adds a bonus multiplier to the XP you earn for the level.
Finish the level
Each level has 5 questions. Complete them to earn the full level reward (+10 XP, plus up to +10 XP for a perfect run). Progress is saved locally and shown on the Parent Dashboard.
Curriculum alignment
Mapped to national curriculum frameworks so teachers and parents can match practice to school standards.
- United StatesCommon Core State Standards for Mathematics · ratio, divisionAligned to ratio, division number and operations objectives.
- United KingdomNational Curriculum for England — Maths · ratio, divisionAligned to ratio, division number and operations objectives.
- AustraliaAustralian Curriculum v9.0 — Mathematics · ratio, divisionAligned to ratio, division number and operations objectives.
- CanadaPan-Canadian Provincial Standards · ratio, divisionAligned to ratio, division number and operations objectives.
Common questions from parents & teachers
Everything you need to know before your child starts playing.
- Add the ratio parts to find the number of shares, divide the total by that to get one share, then multiply up for the part you need.
- Skipping the first step and dividing the total by one of the ratio numbers. The answer is the right sort of size and completely wrong, so nothing signals the error.
- So a student making the error lands on it deliberately, rather than losing a mark for something nobody has named for them.
- No. It alternates between the larger and the smaller part, so the answer cannot be found by picking whichever looks bigger.
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