Sunday, October 24

Form 1 Mathematics Chapter 2

Form 1
Mathematics
Chapter 2
Number Patterns and Sequences


1. 自然数(natural numbers):1, 2, 3, 4, ...
2. 偶数(Even numbers):可被2整除(就是没有余数和小数点)
3. 奇数(Odd numbers):不能被2整除
4. 素数(Prime numbers):只能被2个号码除——自己和1,1不是,因为只能被1个号码除
5. 因素(factors):能被 N 除的号码,如:N=4, factors of 4= 1, 2, 4
6. 倍数(multiples):N 的乘法表,如:N=4, multiples of 4= 4, 8, 12, 16, 20, ...


7. LCM (lowest common multiples,最小公倍数):找x, n 的LCM


Method a. List the multiples
 if x = 3, n= 4
                     Multiples of 3= 3, 6, 9, 12, 15,...
                     Multiples of 4= 4, 8, 12, 16, ...
                     LCM of 3, 4 = 12


Method b. Algorithm
if x = 10, n= 12
                 2  )10, 12
                 5  )   5,  6
                 6  )    1, 6
                          1, 1
2*5*6= 60
60 = LCM of 10 & 12


8. HCF(highest common factor,最大公因数):找x, n 的HCF


Method a. List all tha factors
if x=10, n=5


Factors of 10 = 1, 2, 5, 10
Factors of 5  = 1, 5
HCF of 10, 5 = 5


Method b. Algorithm
if x= 20, n=12


        4)20,12
           5   , 3
HCF = 4


**转载longman Super Score Mathematics Form 1,略改