Logic Masters · Ages 11 to 12
Two-Step Equation Blitz
Solve two-step equations against a friendly timer in a quantum reactor control center, for ages 11 to 12.
5 levels+40 XP
ProgressNot started
5 levels · BeginnerPlay
Logic Masters · Ages 11 to 12
All Logic Masters gamesInteger Multiply Divide Grid
Fill a grid of positive and negative products to see the sign rules as a pattern. For ages 11 to 12.
PuzzleInteger multiply and divide: the sign rules~9 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 Integer Multiply Divide Grid
Integer Multiply Divide Grid puts a positive and a negative number at the head of each axis, so all four sign combinations appear in one small grid and the child fills every result. Seeing them together rather than one at a time is the entire design. The sign rules are usually delivered as four separate facts to be memorised, and children who learn them that way come away with a slogan rather than an idea — two negatives make a positive — which they then apply enthusiastically to the wrong operation. Negative three plus negative four becomes seven with complete confidence, because the slogan says nothing about which operation it belongs to. Laid out as a grid, the pattern is visibly about multiplying: the two same-sign corners are positive, the two mixed corners are negative, and there is nothing here that says anything at all about addition. Division grids appear from the fourth level and behave identically, which is worth a child noticing for themselves rather than being told, since it is the first hint that multiplication and division share their structure all the way down. Every cell carries a clue naming the calculation and a hint stating the rule, and the wrong answers offered are the same magnitudes with the signs flipped, so a slip in sign reasoning is caught rather than hidden behind correct arithmetic. This pairs with our Integer Add Subtract Vault, which handles the addition and subtraction cases the slogan gets wrong. 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
- Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
- While they work
- Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
- Afterwards
- Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
- Watch out for
- Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
- Away from the screen
- Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.
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 and drag, or use the mouse on desktop. 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 4 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 · integers, multiplication, divisionAligned to integers, multiplication, division number and operations objectives.
- United KingdomNational Curriculum for England — Maths · integers, multiplication, divisionAligned to integers, multiplication, division number and operations objectives.
- AustraliaAustralian Curriculum v9.0 — Mathematics · integers, multiplication, divisionAligned to integers, multiplication, division number and operations objectives.
- CanadaPan-Canadian Provincial Standards · integers, multiplication, divisionAligned to integers, multiplication, division number and operations objectives.
Common questions from parents & teachers
Everything you need to know before your child starts playing.
- Multiplying or dividing two numbers with the same sign gives a positive result; two different signs give a negative one.
- Because as a grid the pattern is visibly about multiplying. Learned one at a time, it becomes a slogan that children then misapply to addition.
- Applying "two negatives make a positive" to addition, so negative three plus negative four is answered as seven.
- Yes, identically — which is why division grids appear from the fourth level rather than being stated as a separate rule.
More Logic Masters games
View allSpeed Builder Logic Masters · Ages 11 to 12
3D Volume Builder
Read cube and cuboid models, toggle their nets, and calculate volume and surface area on a space colony build site, for ages 11 to 12.
4 levels+38 XPProgressNot started4 levels · BeginnerPlaySpinner Logic Masters · Ages 11 to 12
Experimental Probability Spinner
Spin a weighted wheel, track outcomes, and compare experimental with theoretical probability at a research institute, for ages 11 to 12.
3 levels+36 XPProgressNot started3 levels · BeginnerPlayPuzzle Logic Masters · Ages 11 to 12
Pythagoras Logic Grid
Complete Pythagorean triples on a grid in an ancient geometry archive, finding each missing side, for ages 11 to 12.
4 levels+38 XPProgressNot started4 levels · BeginnerPlay