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Squaring Numbers
Multiplying Numbers
Dividing Numbers
Adding Numbers
- even numbers 2 through selected 2-digit evens
- digits of square of repeating ones
- consecutive odds
- consecutive between 2 numbers
- sequence from 1 to selected 2-digit number
- sequence from 1 to selected 1-digit number and back
- sequences in the 10's
- sequences in the 20's
- sequences in the 30's
- sequences in the 40's
- sequences in the 50's
- sequences in the 60's
- sequences in the 70's
- sequences in the 80's
- series of doubles
- series of quadruples
- series of 10 numbers
Subtracting Numbers
- 1's repeating, divide by 9, subtract 21
- 8's repeating, divide by 9, subtract 10
- squares of two numbers
- reversing/adding/subtracting 3-digit numbers
Percents
- finding 2.5 percent
- finding 5 percent
- finding 15 percent
- finding 20 percent
- finding 25 percent
- finding 33 1/3 percent
- finding 40 percent
- finding 45 percent
- finding 55 percent
- finding 60 percent
- finding 70 percent
- finding 75 percent
Calculation
Practice Exercises
Full List
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Add sequences of numbers in the 80's
- Choose a 2-digit number in the 80's. To add all the80's
from 80 up through this number and down from it:
- Square the 2nd digit of the number
(keep the carry) _ _ X
- The number of terms is 2 × the 2nd digit + 1
- Multiply the number of terms by 8 (add the carry)
X X _
Example:
- If the 2-digit number in the 80's selected is 83:
(80 + 81 + 82 + 83 + 82 + 81 + 80)
- Square the 2nd digit of the number: 3 × 3 = 9
_ _ 9
- No. of terms = 2 × 2nd digit + 1: 2 × 3 + 1 = 7
- 8 × no. of terms: 8 × 7 = 56
5 6 _
- So the sum of the sequence is 569.
See the pattern?
- If the 2-digit number in the 80's selected is 88:
(80 + 81 + 82 ... + 88 + 87 + ... 83 + 82 + 81 + 80)
- Square the 2nd digit of the number: 8 × 8 = 64
(keep carry 6) _ _ 4
- No. of terms = 2 × 2nd digit + 1: 2 × 8 + 1
= 17
- 8 × no. of terms (+ carry): 8 × 17 + 6
= 80 + 56 + 6 = 136 + 6 = 42 4 2 _
- So the sum of the sequence is 1424.
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