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**Q. 4 4 Marks Each**

**A) Name all the angles formed in the figure given below**

1) /_BAC

2) /_ABC

3) /_ACB

4) /_BDC

5) /_BOD

6)/_COD

7) /_BDO

8) /_CDO

9)/_OCD

10)/_OBD

This example is a simple multiplication of a whole number with fraction:

5/6 x 84 = 5 x 14 = 60 Answer

Method 1:

2| 30

3| 15

5| 5

| 1

Therefore factor of 30 are: 1, 2, 3, 5, 6, 15 and 30

See course material of 6 th standard where i have shown how to find factors of a given number.

Second method could be prime factorization method but in that method you only get prime numbers as factors.

2| 64 80

2| 32 40

2| 16 20

2| 8 10

| 4 5

Thus HCF = 2 x 2 x 2 x 2 = 16 is the Answer

There is other method to determine HCF using Prime factorization Method

Solve 64 and 80 separately

2| 64

2 | 32

2| 16

2 | 8

2|4

2|2

| 1

So prime factors are: 2 x 2 x 2 x 2 x 2 x 2

Solve 80:

2| 80

2 | 40

2 | 20

2| 10

5| 5

| 1

So prime factors are 2 x 2 x 2 x 2 x 5

Here common factors in two numbers are 4 2's i.e. 2 x 2 x 2 x 2 = 16. This answer matches the answer obtained above.

E) Write in ascending order

2/3, 2/5, 2/7, 2/1

Since the numerator is constant; the fraction is greater if the denominator is smaller.

Therefore 2/7 is smallest, 2/5 is greater, 2/3 is still greater, 2/1 is the greatest hence the ascending order