## Maths Trick

**Some Tips and Tricks**

**It is best to put the whole table into your memory using Math Trainer - Multiplication, but here are some tricks that may help you remember your times tables.**

**Everyone thinks differently, so just ignore any tricks that don't make sense to you.**

**The Best Trick**

**Every multiplication has a twin, which may be easier to remember.**

**For example if you forget 8×5, you might remember 5×8. This way, you only have to remember half the table.**

**Tricks by Number**

**to multiply by**

**Trick**

**2**

**add the number to itself (example 2×9 = 9+9)**

**5**

**the last digit goes 5, 0, 5, 0, ...**

**is always half of 10× (Example: 5x6 = half of 10x6 = half of 60 = 30)**

**is half the number times 10 (Example: 5x6 = 10x3 = 30)**

**6**

**if you multiply 6 by an even number, they both end in the same digit.**

**Example: 6×2=12, 6×4=24, 6×6=36, etc**

**9**

**the last digit goes 9,8,7,6, ...**

**your hands can help! Example: to multiply 9 by 8,**

**hold your 8th finger down, and count "7" and "2",**

**the answer is 72**

**is 10× the number minus the number.**

**Example: 9×6 = 10×6 - 6 = 60-6 = 54**

**if you add the answer's digits together, you get 9.**

**Example: 9×5=45 and 4+5=9. (But not with 9×11=99)**

**10**

**put a zero after it**

**11**

**up to 9x11: just repeat the digit (Example: 4x11 = 44)**

**for 10x11 to 18x11: write the sum of the digits between the digits**

**(Example: 15x11 = 1(1+5)5 = 165)**

**Note: this works for any two-digit number, but if the**

**sum of the digits is more than 9, you will have to**

**"carry the one" (Example: 75x11 = 7(7+5)5 = 7(12)5 = 825).**

**12**

**is 10× plus 2×**

**Remembering Squares Can Help**

**This may not work for you, but it worked for me. I like remembering the squares (where you multiply a number by itself):**

**1×1=1 2×2=4 3×3=9 4×4=16 5×5=25 6×6=36**

**7×7=49 8×8=64 9×9=81 10×10=100 11×11=121 12×12=144**

**And this gives me one more trick. if the numbers you are multiplying are separated by 2 (example 7 and 5), then multiply the number in the middle by itself and subtract one. See this:**

**5×5 = 25 is just one bigger than 6×4 = 24**

**6×6 = 36 is just one bigger than 7×5 = 35**

**7×7 = 49 is just one bigger than 8×6 = 48**

**8×8 = 64 is just one bigger than 9×7 = 63**

**etc ...**

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