( And maybe you )
DO I HAVE TO BE REALLY
GOOD AT
MATHS TO SURVIVE THIS
CLASS ???
If you
• understand your times tables
• can add and subtract one digit numbers
•
Basic knowledge of fractions
•
Can use a calculator
(to check if you are really correct and smarter than you think)
•
Want to learn
•
Are willing to approach things positively
Solve the answers
•
Think of a number
•
Double it
•
Add 14
•
Halve your answer
•
Subtract the original answer
Your answer is 7
Solve the answers
•
Write down a 3 digit number with digits decreasing, eg. 861
•
Reverse this number and subtract it from the first number
•
Take this answer and add it to the reverse of the number
Your answer is 1089
Solve the answers
•
Using 1089 from before multiply this by ANY 3 digit number
•
How many digits in your answer ?
•
Tell me any 5 of your digits
Solve the answers
•
Write down any 2 1 digit number underneath each other and add them 8 times.
Eg 1. 6
2. 5
3. 11
•
When you have done this add the
10 numbers up
•
I need someone to write their number on the board Without the total.
•
I will Guess the total before finish they are finished writing all the number up.
Solve the answers
•
Write down any number from each of the 3 number sets
A B
8573 5646
2966 4179
C
2565
4581
4586 8544
4874 9624
7655 2595
2673
5625
7236
•
Select any digit from each of the select numbers and enter under
Columns headed A, B or C
•
Repeat this till all digits are used.
•
Add up the new 4 3-digit numbers
Answer for this total is 2528
Multiplying 2 digit Numbers
Eg. 11 13 x 12 x 13
13 2
ADD 11 plus 2 ( = 13 )
Multiply 1 x 2 ( = 2 )
Multiplying 2 digit Numbers
Eg. 17 x 13
21
20
221
ADD 17 plus 3 ( = 20 )
Multiply 7 x 3 ( = 21 )
19 x 19
81
Squaring a number ending in 5
Eg. 75 2 = 7 x 8 and 5 2
= 56 and 25
= 56 25
(N5) 2 = n x (n+1) and 5 2
= n x (n+1) and 25
= n(n+1)25
Squaring a number between 30 and 70
Eg. 52 2 = 27 and 2 2
= 27 04
[27 : 25+2] [04:2places for 4]
59 2 = ?
63 2 = ?
59 2 = 34 and 9 2 [34 : 25+9] [81:2places for 81]
= 34 81
63 2 = 38 and 13 2 [38 : 25+13] [169:2places for 169]
169
= 38
= 3 9 69
Squaring a number between 30 and 70
Eg. 48 2 = 23 and 2 2
= 23 04
[23 : 25-2] [04:2places for 4]
47 2
47 2
39 2
= ?
39 2 = ?
= 22 and 3 2 [22 : 25-3] [04:2places for 9]
= 22 09
= 14 and 11 2 [14: 25-11] [121:2places for 121]
121
= 14
= 1 5 21
Squaring a number between 80 and 120
Eg. 1 03 2 = 1 06 and 3 2
= 1 06 09
[ 06 : two x 3 ] [ 09:2places for 9 ]
1 07 2 = 1 14 49 [
ANSWER
]
1 09 2 = 1
ANSWER
1 12 2 144
= 1 24
= 1 25
ANS
WER
Multiplying 2 numbers between 80 and 120
97 x 98 = 98
( -2 : less than 100)
97
( -3 : less than 100)
= 95 06
[ 95 : 97- 3 : 98 - 2 ] [ 06 :2places for 6]
91 x 97 = 91
( -9 : less than 100)
97
( -3 : less than 100)
= 88 27
[ 88 : 91- 3 : 97 - 9 ] [ 27 :2places for 6]
Multiplying 2 numbers between 80 and 120
107 x 112 = 1 07
( 7 : morethan 100)
1 12
( 12 : more than 100)
= 1 19 84
[ 19 : 7+12 : 12 + 7 ] [ 84 : 7 x 12]
103 x 115 = 1 03
( 3 : more than 100)
1 15
( 15 : more than 100)
= 1 18 45
[ 18 : 3 + 15 : 15 + 3 ] [ 45 : 3 x 15]
Squaring a number between 80 and 120
Eg. 1 03 2 = 1 06 and 3 2
= 1 06 09
[ 06 : two x 3 ] [ 09:2places for 9 ]
1 07 2 = 1 14 49 [
ANSWER
]
1 09 2 = 1
ANSWER
1 12 2 144
= 1 24
= 1 25
ANS
WER
55 times 55 = ???
55 2 = 5 x 6 and 5 2
= 30 and 25
= 30 25
55 times 75 = ???
55 x 75 = 5 x 7 + 6 and 5 2
= 41 and 25
= 41 25
Multiplying 2 mixed numbers with the same units and fractions adding to 1
ANSWER
Multiplying a number ending in digits that add to 10
Eg 7 5 x 7 5 = 7 x 8 and 5 x 5
= 56 and 25
= 56 25 (as before)
84 x 86 = ?
8 4 x 8 6 = 8 x 9 and 4 x 6
= 72 and 24
= 72 24
Squaring 2 digit numbers
Eg 73 2 = 76 x 70 + 3 2
= 5320 + 9
= 5329
or 73 2 = 70 2 +2(70 x 3) + 3 2
= 4900 + 2(210) + 9
= 5329
(ab) 2 = (a+b)(a-b) + b 2 or
(ab) 2 = a 2 + 2(a+b) + b 2