Explanation

Q No 1. Encircle the Correct choice. (4 marks)

1. When we add '1' in the greatest 9-digit number, we get '_______'

A. 100,000.00
B. 10,000,000
C. 1,000,000,000
D. 11,000,000

2. Subtract 83214-74325=

A. 8888
B. 8872
C. 8889
D. 8989

3. Divide: 721098 / 126

A. 5623
B. 5723
C. 5724
D. 5643

4. HFC of 24 and 40 is _______.

A. 10
B. 8
C. 15
D. 6

5. The price of a mobile is Rs. 13500. The price of 10 such mobiles be?

A. 13000
B. 35000
C. 135000
D. 145000

6. Aslam obtained 400 marks in 8 subjects. The average marks obtained in each subject is:

A. 60
B. 65
C. 59
D. 50

7. 24m has _______ centimeters in it:

A. 2400
B. 24000
C. 240
D. 24

8. Dividing 983.6 by 100

A. 9.836
B. 98360
C. 98.36
D. 9836

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Q No 2. Fill in the Blanks.  (4 marks)

1. The smallest prime number is 2

2. LCM stands for Least Common Multiple

3. The name of a Muslim Mathematician is Al Khwarizmi

4. A triangle in which any two sides are equal in length is called an isosceles triangle 

5. 3 hours and 46 minutes = 226 minutes

6. In BODAMS rule 'A' stands for Addition

7. 1/3 - 1/4 = 0.0833

8. 4.2 x 0.0004 = 0.00168

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Q No 2. Find the LCM and HCF of 24 and 36. (2marks)

LCM:

Multiples of 24: 24, 48, 72, 96, ...

Multiples of 36: 36, 72, 108, ...

We can see that the smallest common multiple is 72.

Therefore, the LCM of 24 and 36 is 72.

HCF:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The largest common factor is 12.

Therefore, the HCF of 24 and 36 is 12.

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Q No 4. Find the area of a triangle whose height is 6 cm and the base is 3cm. (2marks)

 formula:

Area = (base x height) / 2

Given :

height is 6 cm 

the base is 3 cm

Area = (3 cm x 6 cm) / 2

First, we multiply the base and the height:

Area = 18 cm² / 2

Then, we divide the result by 2:

Area = 9 cm²

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Q No 5. Solve the following (1/2 - 1/50) / ( 3/3 x 1/2). (2marks)

To solve (1/2 - 1/50) / (3/3 x 1/2)

1. Simplify the numerator (1/2 - 1/50):

The least common multiple (LCM) of 2 and 50 is 100. 

(1/2) = (50/100)

(1/50) = (2/100)

Now, we can subtract the fractions:

(50/100) - (2/100) = (48/100)

2. Simplify the denominator (3/3 x 1/2):

(3/3) x (1/2) = (3/6)

(3/6) ÷ 3 = (1/2)

3. Divide the numerator by the denominator:

(48/100) ÷ (1/2) = (48/100) x (2/1)

Multiply the numerators and denominators:

(48/100) x (2/1) = (96/100)

4. Simplify the fraction:

(96/100) ÷ 4 = (24/25)

Therefore, (1/2 - 1/50) / (3/3 x 1/2) simplifies to 24/25.

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Q No 6. Convert 350 seconds into minutes. (2marks)

1 s = 0.016666666666667 min