VITON13 SCHOOL · Maths
Multiplication chart
Point at any cell to see the fact, a picture of it and its twin. Learn one number at a time, train with instant feedback and print a clean chart.
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100 cells, 55 different facts: a × b = b × a.
The 9 times table
- 1 × 9 =9
- 2 × 9 =18
- 3 × 9 =27
- 4 × 9 =36
- 5 × 9 =45
- 6 × 9 =54
- 7 × 9 =63
- 8 × 9 =72
- 9 × 9 =81
- 10 × 9 =90
Tips for ×9
- From 9 × 1 to 9 × 10 the digits of the answer add up to 9: 9 × 7 = 63, and 6 + 3 = 9.
- 9 × 7 is 10 × 7 minus 7: 70 − 7 = 63.
- Order does not matter: 9 × 3 = 3 × 9 = 27. Every fact you learn gives you its twin.
- 9 × 9 = 81 is a square number: it sits on the chart's diagonal.
Every fact of the chosen numbers once; a wrong one comes back until it is right.
How to use the multiplication table
- Explore the chartChoose 10 × 10, 12 × 12 or 20 × 20. Point at or tap a cell to light up its row and column and see the fact in large type, a picture of the groups and its twin.
- Learn one numberIn “Column”, pick a number from 1 to 20 to see its whole times table in large type with tips that work for it. Hide the answers to test yourself.
- Train and printChoose the numbers, then Practice or a 60-second sprint. Wrong facts come back until they are right; the result shows your score, time per answer and a heat map. Print a clean A4 chart for the wall.
What the chart shows
Each cell is its row number times its column number. The diagonal from the top-left corner holds the square numbers 1, 4, 9, 16 and so on, because there the row and the column are the same number.
The chart is symmetrical across that diagonal, because a × b = b × a. So a 10 × 10 chart has 100 cells but only 55 different facts, and a 12 × 12 chart has 78.
The pattern highlights make other rules visible: multiples of 5 end in 0 or 5, and a product is odd only when both numbers are odd.
Questions about the times tables
How can I learn the times tables fast?
Start with the easy columns — ×1, ×2, ×5 and ×10 — and use the fact that a × b = b × a: a 10 × 10 chart has 100 cells but only 55 different facts. Learn one number at a time with its tip, then practise it in the trainer in short sessions. The trainer brings every wrong answer back two questions later until you get it right, and the heat map at the end shows which facts to practise next.
What are the tricks for the 9 times table?
From 9 × 1 to 9 × 10 the tens digit is one less than the number you multiply by, and the two digits add up to 9: 9 × 7 = 63, and 6 + 3 = 9. Another way: 9 × n = 10 × n − n, so 9 × 7 = 70 − 7 = 63. With fingers: hold up ten fingers and fold down the seventh; the six fingers to its left are the tens and the three to its right are the ones, 63.
Why is a × b the same as b × a?
Picture a rows of b dots. Turn the picture a quarter turn and you see b rows of a dots: the same dots, so the same total. This is the commutative property of multiplication. On the chart it shows as a mirror: the half above the diagonal repeats the half below it.
What is 0 × n?
Zero. 0 × n means no groups of n, and n × 0 means n groups with nothing in each; either way there is nothing to count, so 0 × n = n × 0 = 0 for every number n. The chart starts at 1 because a row or column for 0 would be all zeros.
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