Logic Masters · Ages 11 to 12

All Logic Masters games

Mental Strategy Speed Vault

Compensation, halving and adjusting — the mental methods that beat the written one. For ages 11 to 12.

SpeedMental strategies: compensation, halving and adjusting~6 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.

  1. Play(you are here)Learn the idea in a game
  2. PractiseLock it in on paper
  3. ReviewCome back and keep it sharp
  4. MasterTake on a harder challenge
  5. AchieveEarn a certificate

About Mental Strategy Speed Vault

Mental Strategy Speed Vault is not a drill, and the distinction matters. Every question in it is chosen so that a mental strategy is dramatically faster than the written method, and the prompt names the strategy rather than leaving it to be discovered. Adding thirty-nine is adding forty and taking one back. Twenty-five times sixteen is fifty times eight. Dividing by four is halving twice. None of these are tricks in the sense of shortcuts that only work sometimes; they are the ordinary properties of arithmetic used deliberately, and a student who has them is not merely faster but is thinking about the numbers rather than about the procedure. Students taught only written methods carry those methods into questions where they are absurdly slow, spend a minute on something that takes five seconds, and then conclude they are bad at mental maths. What they lack is not speed or talent but any strategy at all, which is a completely different problem with a completely different fix. The prompt states the method for a specific reason: a student who grinds out the written method and arrives at the right answer has learned nothing this game exists to teach, and there is no way to tell from a correct answer that this is what happened. The wrong option offered is always the halfway value — what you get by making the first move of the strategy and stopping, such as adding the forty and forgetting to take the one back. Free, no sign-up, no advertising to children.

Chosen by the skills this activity practises.

A hand for grown-ups

Before you start
Have something countable nearby. Being able to check "3 and 2 really is 5" by counting builds trust in the maths.
While they work
If a sum is hard, suggest counting on from the bigger number rather than counting both from one. It is a real strategy, not a crutch.
Afterwards
Try one together out loud, talking through how you worked it out. Hearing an adult think aloud is genuinely useful.
Watch out for
Counting both numbers from one every time. Nudge gently towards "start at the bigger one and count on".
Away from the screen
Add up small shopping items, or dots on two dice. Board games with dice are addition practice in disguise.

How to play

  1. A question appears on screen

    An equation with a missing answer — for example "4 + 1 = ?" — is shown in large text. A timer bar starts counting down from 45 seconds.

  2. Tap or press the correct answer

    Four answer options are shown as large buttons. Tap an answer, or press keys 1–4 on the keyboard.

  3. Build your streak

    Each consecutive correct answer increases your streak counter. A streak of 5 or more turns the flame icon orange and awards a streak bonus to your XP for that level.

  4. Complete the level to finish

    Each level has 8 questions. Complete them correctly to earn the full level XP (+10 XP, plus up to +10 XP perfect bonus). Your progress is saved automatically between sessions.

🎓 Curriculum

Curriculum alignment

Mapped to national curriculum frameworks so teachers and parents can match practice to school standards.

  • United StatesCommon Core State Standards for Mathematics · fluency, addition, multiplicationAligned to fluency, addition, multiplication number and operations objectives.
  • United KingdomNational Curriculum for England — Maths · fluency, addition, multiplicationAligned to fluency, addition, multiplication number and operations objectives.
  • AustraliaAustralian Curriculum v9.0 — Mathematics · fluency, addition, multiplicationAligned to fluency, addition, multiplication number and operations objectives.
  • CanadaPan-Canadian Provincial Standards · fluency, addition, multiplicationAligned to fluency, addition, multiplication number and operations objectives.
❓ FAQ

Common questions from parents & teachers

Everything you need to know before your child starts playing.

  • Every question is picked so a strategy beats the written method, and the prompt names the strategy. A drill just asks for answers.

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