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Mental Maths Tips and Tricks

Some of these are for Rigid Digit, but most are just good mental maths: the kind of shortcuts that make numbers feel friendlier wherever you meet them. Pick one or two to try today.

Start with the target

  • Break the target into pieces

    Split the target into numbers that multiply together, then look for tiles that make those pieces.

    220 = 2 × 11 × 10
  • Even target? Halve it

    If the target is even, make half of it, then double. Half is often much easier to find.

    246 = 123 × 2
  • Look for a near miss

    Find a round number close to the target, then make the small difference with what's left.

    54 = 50 + 475 − 25 = 508 ÷ 2 = 4
  • Work backwards

    Ask what divides into the target, or what sits one small hop from it, then see if your numbers can build that.

    54 = 2 × 2754 = 3 × 1854 = 6 × 9

Make the most of your numbers

  • Big numbers get you close

    Use the big numbers to get into range, and save the small ones for fine-tuning.

    75 × 3 = 225225 − 2 = 223
  • Make tens

    Pairs that add to ten, like 7 and 3 or 6 and 4, turn awkward sums into easy ones.

    7 + 8 + 3= (7 + 3) + 8 = 18
  • Turn spare numbers into 1s and 2s

    Two leftover numbers can often make a handy 1 or 2 for nudging a total into place.

    6 ÷ 6 = 110 − 8 = 2

Everyday shortcuts

  • Times 5: times 10, then halve

    Multiplying by 10 is easy, and halving is easy. Together they make 5.

    46 × 5= 460 ÷ 2 = 230
  • Times 9: times 10, then take one away

    Nine lots of something is ten lots, minus one lot.

    9 × 24= 240 − 24 = 216
  • Times 25: times 100, then quarter

    Four 25s make 100, so multiply by 100 and divide by 4.

    25 × 12= 1200 ÷ 4 = 300
  • Double one, halve the other

    The answer doesn't change, and you can keep going until the sum is easy.

    16 × 25= 8 × 50= 4 × 100 = 400
  • Break it apart

    Split a tricky number into friendly parts, multiply each, then add them back together.

    7 × 24= 7 × 20 + 7 × 4= 140 + 28 = 168
  • Add from the left

    Add the tens first, then the ones. It's how most quick mental adders do it.

    47 + 38= 70 + 15 = 85

These are classic mental maths strategies, the kind good maths teachers have been sharing for years. For lots more, maths educator Greg Tang's Tang Math Games videos are full of clever ways to see numbers differently. Well worth a follow.

Got a favourite trick we've missed? Share it in the comments below.

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