SATS How To...
Welcome to the all new SATS How-to page. Here we will teach you valuble techniques that can be applied in your Maths, English & Science SATS exams, whatever the level. Forgotten how to convert a fraction? Unsure about how to plan an essay? Then the SATS How-to is for you!
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| how to improve your mental maths |
Counting on
Counting on is a good method for subtracting numbers mentally.
To find the difference between 37 and 63...
Picture a blank number line in your head with 37 at one end and 63 at the other. Count on from 37 to 40 and keep that 3 in your head. Now count on from 40 to 63, which is 23 Add the 3 to 23 to make 26
Adding by rounding
To add 9 to another number, add 10 and then subtract 1
36 + 9 = 36 + 10 - 1 = 45
To add 8 to another number, add 10 and then subtract 2
45 + 8 = 45 + 10 - 2 =53
To add 19 to another number, add 20 and then subtract 1
48 + 19 = 48 + 20 - 1 = 67
To add 18 to another number, add 20 and then subtract 2
53 + 18 = 53 + 20 - 2 = 71
To add 0.9 to another number, add 1 and then subtract 0.1
3.7 + 0.9 = 3.7 + 1 - 0.1 = 4.6
To add 0.8 to another number, add 1 and then subtract 0.2
4.5 + 0.8 = 4.5 + 1 - 0.2 = 5.3
Subtracting by rounding
To subtract 9 from another number, subtract 10 and then add 1
46 - 9 = 46 - 10 + 1 = 37
To subtract 8 from another number, subtract 10 and then add 2
21 - 8 = 21 - 10 + 2 = 13
To subtract 19 from another number, subtract 20 and then add 1
63 - 19 = 63 - 20 + 1 = 44
To subtract 18 from another number, subtract 20 and then add 2
63 - 18 = 63 - 20 + 2 = 45
To subtract 0.9 from another number, subtract 1 and then add 0.1
8.2 - 0.9 = 8.2 - 1 + 0.1 = 7.3
To subtract 0.8 from another number, subtract 1 and then add 0.2
7.3 - 0.8 = 7.3 - 1 + 0.2 = 6.5
Doubling
If you are adding together two numbers that are nearly the same, doubling one of them will help you.
35 + 35 = 70
35 + 36 = 35 + 35 + 1 = 2 x 35 then add 1 = 71
46 + 46 = 92
46 + 47 = 46 + 46 + 1 = 2 x 46 then add 1 = 93
2.7 + 2.7 = 5.4
2.7 + 2.8 = 2.7 + 2.7 + 0.1 = 2 x 2.7 then add 0.1 = 5.5
Inverses
Addition and subtraction are inverses (opposites).
Subtraction can be checked by adding.
82 - 37 = 45
37 + 45 = 82
Multiplication and division are also inverses.
Division can be checked by multiplying.
81 ÷ 3 = 27
27 x 3 = 81
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