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 × 10Even target? Halve it
If the target is even, make half of it, then double. Half is often much easier to find.
246 = 123 × 2Look 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 = 4Work 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 = 223Make 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 = 18Turn 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 = 230Times 9: times 10, then take one away
Nine lots of something is ten lots, minus one lot.
9 × 24= 240 − 24 = 216Times 25: times 100, then quarter
Four 25s make 100, so multiply by 100 and divide by 4.
25 × 12= 1200 ÷ 4 = 300Double 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 = 400Break it apart
Split a tricky number into friendly parts, multiply each, then add them back together.
7 × 24= 7 × 20 + 7 × 4= 140 + 28 = 168Add 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.
Comments
No comments yet. Start the conversation!