COMPILED BY: MOAKAMEDI MOJAKI CHARLES
(FOUNDER OF ARDEN TUTORIAL)
1
,TABLE OF CONTENT(S)
1. NUMBERS………………………………………………………………………page 3
2. BASIC MATHEMATICS………………………………………………….page 4
3. SIMPLIFY……………………………….……………………………………….page 5
4. SOLVE FOR X………………………..……………………………………….page 10
5. COMPLETING THE SQUARE….……………………………………page 15
6. SIMULTANEOUS EQUATION……………………………………….page 18
7. WORD PROBLEMS………………………………………………………..page 22
8. SEQUENCE AND SERIES……………………………………………….page 27
2
,1. NUMBERS
3
, 2. Basic MATHEMATICS
Sum –the results of addition.
2+3 =5
Difference- the result of subtraction
7-3=4
Product-result of multiplication
4 7=28
Quotient-result of division
72/3=24
Prime numbers- the number that has only two factors, one and itself.
1; 2; 3; 5; 7; 11; 13; 17; 19; 23; long as the number is not repetition of previous numbers.
Factors-number that divides exactly into a whole number with no remainder.
18 =9 2 or 18=3 6 or 18=18 1 the numbers 9,2,3, 1 are factors of 18 if they are arranged as
indicated.
Divisible- no remainder after the division between numbers.
9/3 =3 or 10/5=2 quotient is whole number then 9 is divisible by 3 or 10 is divisible by 5.
Highest common factor- Highest factor that can be divisible in two different numbers.
24=2 2 2 3
28=2 2 7 the number 28 is not divisible by 3 while 24 is not divisible by 7.
2 2 2 =8 where 28 is not divisible by 8, but 2 2=4. 28 and 24 are both divisible by 4,
Their HCF is 4.
Lowest common multiple- a number that appears first and common when expanding a two or
more numbers.
9 =9; 18; 36; 72; 144; ..
6 =6; 12; 18; 24; 30; …. The lowest common factor of 9 and 6 is 18.
Lowest common denominator – On fractions is the lowest single number that can represent all
the denominators.
Constant ratio- comparison of two consecutive numbers.
1; 2; 4; 8
Constant difference- common result that appears as result of difference between current and
previous terms.
1; 3; 5; 7…. Constant difference =7-5 =5-3 =3-1 =2
Multiplicative inverse- a number that multiplies the whole number or fraction resulting in
One as the product. can be multiplied by to obtain 1 or 2 can be multiplied by .
4
(FOUNDER OF ARDEN TUTORIAL)
1
,TABLE OF CONTENT(S)
1. NUMBERS………………………………………………………………………page 3
2. BASIC MATHEMATICS………………………………………………….page 4
3. SIMPLIFY……………………………….……………………………………….page 5
4. SOLVE FOR X………………………..……………………………………….page 10
5. COMPLETING THE SQUARE….……………………………………page 15
6. SIMULTANEOUS EQUATION……………………………………….page 18
7. WORD PROBLEMS………………………………………………………..page 22
8. SEQUENCE AND SERIES……………………………………………….page 27
2
,1. NUMBERS
3
, 2. Basic MATHEMATICS
Sum –the results of addition.
2+3 =5
Difference- the result of subtraction
7-3=4
Product-result of multiplication
4 7=28
Quotient-result of division
72/3=24
Prime numbers- the number that has only two factors, one and itself.
1; 2; 3; 5; 7; 11; 13; 17; 19; 23; long as the number is not repetition of previous numbers.
Factors-number that divides exactly into a whole number with no remainder.
18 =9 2 or 18=3 6 or 18=18 1 the numbers 9,2,3, 1 are factors of 18 if they are arranged as
indicated.
Divisible- no remainder after the division between numbers.
9/3 =3 or 10/5=2 quotient is whole number then 9 is divisible by 3 or 10 is divisible by 5.
Highest common factor- Highest factor that can be divisible in two different numbers.
24=2 2 2 3
28=2 2 7 the number 28 is not divisible by 3 while 24 is not divisible by 7.
2 2 2 =8 where 28 is not divisible by 8, but 2 2=4. 28 and 24 are both divisible by 4,
Their HCF is 4.
Lowest common multiple- a number that appears first and common when expanding a two or
more numbers.
9 =9; 18; 36; 72; 144; ..
6 =6; 12; 18; 24; 30; …. The lowest common factor of 9 and 6 is 18.
Lowest common denominator – On fractions is the lowest single number that can represent all
the denominators.
Constant ratio- comparison of two consecutive numbers.
1; 2; 4; 8
Constant difference- common result that appears as result of difference between current and
previous terms.
1; 3; 5; 7…. Constant difference =7-5 =5-3 =3-1 =2
Multiplicative inverse- a number that multiplies the whole number or fraction resulting in
One as the product. can be multiplied by to obtain 1 or 2 can be multiplied by .
4
