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
***
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.
***
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
**
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
= 350 x 0.016666666666667
= 5.8333333333333 min
Q No 6. Convert 3 1/8 to decimal.(2marks)
= 3 1/8
= 25/8
= (25 × 25) / (8 × 25)
= 625/200
= 312.5 / 100
= 3.125
Q No 7. The perimeter of a square-shaped room is 8m. find the area of the room.
A = a^2
P = 4a
Solving for
A
A = 1/16 P^2
A = 1/16 x 8^2
