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 gamesDistributive Property Split Drag
Sort the splits that really equal 7 times 34 from the ones that only look like it. For ages 11 to 12.
Drag dropDistributive property: splitting a product~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 Distributive Property Split Drag
Distributive Property Split Drag names the rule that has been quietly running underneath every written multiplication method on this site. The grid method splits a number by place value and multiplies each part; partial products writes the same splits down the page; the area model draws them as rectangles; long multiplication compresses them until they are almost invisible. All four are the distributive property, and a student who meets the property by name at this point can suddenly see four techniques they have been taught separately as one idea with four costumes. That reframing is worth a great deal at exactly this age, because the property is about to reappear in algebra as expanding brackets, where a student who recognises it has almost nothing new to learn and a student who does not has to start from scratch. Cards on the board show possible ways of splitting a product and the child sorts the genuine equalities from the impostors. The wrong cards are the errors that actually happen rather than obvious nonsense: multiplying the tens and then simply adding the ones without multiplying them, which is the single most common slip and produces an answer close enough to look right, and splitting the product into two multiplications that get multiplied together rather than added. Both look structurally plausible, which is precisely why they need meeting head on. Cards can be dragged or placed by tap or keyboard. 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
- Think of it as groups: "4 × 3" is four groups of three. Have something you can arrange into equal groups.
- While they work
- Skip-counting (3, 6, 9, 12…) is a solid way in before facts are memorised. Let them use it — speed comes later.
- Afterwards
- Spot arrays in real life together — eggs in a box, tiles on a floor. Rows-and-columns is multiplication you can see.
- Watch out for
- Treating it as harder addition and losing track. Grouping objects physically keeps the "equal groups" idea in view.
- Away from the screen
- Lay out objects in rows and columns and count them two ways. Cooking with doubled recipes is multiplication too.
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 110 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 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 · multiplication, place-valueAligned to multiplication, place-value number and operations objectives.
- United KingdomNational Curriculum for England — Maths · multiplication, place-valueAligned to multiplication, place-value number and operations objectives.
- AustraliaAustralian Curriculum v9.0 — Mathematics · multiplication, place-valueAligned to multiplication, place-value number and operations objectives.
- CanadaPan-Canadian Provincial Standards · multiplication, place-valueAligned to multiplication, place-value number and operations objectives.
Common questions from parents & teachers
Everything you need to know before your child starts playing.
- That multiplying a sum is the same as multiplying each part and adding. 7 times 34 equals 7 times 30 plus 7 times 4.
- In the grid method, partial products, the area model and long multiplication. All four are the same property wearing different costumes.
- Expanding brackets is the same property with letters. A student who recognises it has almost nothing new to learn.
- Real errors, not nonsense — multiplying the tens then adding the ones without multiplying them, and multiplying the two parts together rather than adding them.
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