YEAR 7 HOMEWORK - Highest common factor/Lowest common multiple

Examples


Find the Highest common factors of 12 and 15


Consider the numbers 12 and 15:
The factors of 12 are : 1, 2, 3, 4, 6, 12.
The factors of 15 are : 1, 3, 5, 15.
1 and 3 are the only common factors (numbers which are factors of both 12 and 15).
Therefore, the highest common factor of 12 and 15 is 3.


Find the Lowest common factors of 12 and 15 


Consider the numbers 12 and 15 again:
The multiples of 12 are : 12, 24, 36, 48, 60, 72, 84, ....
The multiples of 15 are : 15, 30, 45, 60, 75, 90, ....
60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples.
Therefore, the lowest common multiple of 12 and 15 is 60.


Questions

1. Write down the first 5 multiples of 8
2. Write down the first 5 multiples of 5
3. Write down the first 5 multiples of 7
4. Write down the first 5 multiples of 11
5. Write down the first 5 multiples of 16
6. Write down the factors of 12
7. Write down the factors of 15
8. Write down the factors of 36
9. Write down the factors of 24
10. Work out the lowest common multiple 8 and 5
11. Work out the lowest common multiple of 5 and 7
12. Work out the lowest common multiple of 8 and 7
13. Work out the highest common factor of 12 and 15
14. Work out the highest common factor of 15 and 24
15. Work out the highest common factor of 24 and 36

Year 8 - Powers of ten homework

1)
a. 12 x 10²
b. 582 x 10³
c. 0.56 x 10²
d. 78.85 x 10³
e. 0.0512 x 10²
f. 125.6 x 10²


2)
a. 56.58 ÷ 10²
b. 0.6856 ÷ 10²
c. 0.0556 ÷ 10³
d. 86 ÷ 10⁴
e. 0.66 ÷ 10⁵
f. 6 ÷ 10²

3)
a. 566 ÷ 0.1
b. 696 ÷ 0.1
c. 0.025 ÷ 0.1
d. 0.58 ÷ 0.01
e. 25 ÷ 0.01
f. 0.08 ÷ 0.001

4)
a. 566 x 0.1
b. 696 x 0.01
c. 0.025 x 0.1
d. 0.58 x 0.01
e. 15 x 0.01
f. 0.0058 x 0.001

5)
a. 0.1 x 0.1
b 0.1 ÷  0.1
c. 0.01 x 0.1
d. 0.1 ÷  0.01