1. Evaluate (3.2 × 6y3) × (2.1x2y2) when x = 1 and y = 0.5.
2. Express the product of (-xy3) × (yx3) × (xy) as a monomials and verify the
result for x = 1, y = 2
3. Find the volume in cubic meter (cu .m ) of the cuboid
whose dimensions are : Length = 12 m, Breadth = 10 m ,
height = 4.5 m
4. Find the volume in cubic decimeter of the cube whose side is 75 cm.
5. How much clay is dug out in digging a well measuring 4 m by 2 m by 5 m?
6. How many bricks will each of size 25 cm x 10 cm x 8 cm be required to
build a wall 5 m long, 3 m high & 16 cm thick, assuming that the volume of
sand and cement used in the construction is negligible?
7. Four-fifth of a number is more than three-fourth of the same number by 4.
Find the number.
8. The difference between the squares of two consecutive numbers is 31. Find
the numbers.
9. Sunita is twice as old as Ashima. If six years is subtracted from Ashima’s
age and four years added to Sunita’s age, then Sunita will be four times
Ashima’s age. How old were they two years ago?
10.A coolie deposits Rs.150 per month in his post office savings bank
account. If this is 15% of this monthly income, find his monthly income.
11. Sita can finish typing work of 100 page document in 9 hours, Mita in 6
hours and Rita in 12 hours. How long will they take to type a 100 page
document, if they work together?
12. Factorize : - 40 + 3x – x2
13. By what number should (5/3)-2 be multiplied so that the product will be
(7/3)-1?
14. Find the value of x for which 52x ÷ 5-3 = 55.
15.Given below is the frequency distribution of the heights of 50 students of a
class:
Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.
Answers
1. Evaluate (3.2 × 6y3) × (2.1x2y2) when x = 1 and y = 0.5.
2. Express the product of (-xy3) × (yx3) × (xy) as a monomials and verify the
result for x = 1, y = 2
3. Find the volume in cubic meter (cu .m ) of the cuboid
whose dimensions are : Length = 12 m, Breadth = 10 m ,
height = 4.5 m
4. Find the volume in cubic decimeter of the cube whose side is 75 cm.
5. How much clay is dug out in digging a well measuring 4 m by 2 m by 5 m?
6. How many bricks will each of size 25 cm x 10 cm x 8 cm be required to
build a wall 5 m long, 3 m high & 16 cm thick, assuming that the volume of
sand and cement used in the construction is negligible?
7. Four-fifth of a number is more than three-fourth of the same number by 4.
Find the number.
8. The difference between the squares of two consecutive numbers is 31. Find
the numbers.
9. Sunita is twice as old as Ashima. If six years is subtracted from Ashima’s
age and four years added to Sunita’s age, then Sunita will be four times
Ashima’s age. How old were they two years ago?
10.A coolie deposits Rs.150 per month in his post office savings bank
account. If this is 15% of this monthly income, find his monthly income.
11. Sita can finish typing work of 100 page document in 9 hours, Mita in 6
hours and Rita in 12 hours. How long will they take to type a 100 page
document, if they work together?
12. Factorize : - 40 + 3x – x2
13. By what number should (5/3)-2 be multiplied so that the product will be
(7/3)-1?
14. Find the value of x for which 52x ÷ 5-3 = 55.
15.Given below is the frequency distribution of the heights of 50 students of a
class:
Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.
Answer:
2. Express the product of (-xy3) × (yx3) × (xy) as a monomials and verify the
result for x = 1, y = 2
3. Find the volume in cubic meter (cu .m ) of the cuboid
whose dimensions are : Length = 12 m, Breadth = 10 m ,
height = 4.5 m
4. Find the volume in cubic decimeter of the cube whose side is 75 cm.
5. How much clay is dug out in digging a well measuring 4 m by 2 m by 5 m?
6. How many bricks will each of size 25 cm x 10 cm x 8 cm be required to
build a wall 5 m long, 3 m high & 16 cm thick, assuming that the volume of
sand and cement used in the construction is negligible?
7. Four-fifth of a number is more than three-fourth of the same number by 4.
Find the number.
8. The difference between the squares of two consecutive numbers is 31. Find
the numbers.
9. Sunita is twice as old as Ashima. If six years is subtracted from Ashima’s
age and four years added to Sunita’s age, then Sunita will be four times
Ashima’s age. How old were they two years ago?
10.A coolie deposits Rs.150 per month in his post office savings bank
account. If this is 15% of this monthly income, find his monthly income.
11. Sita can finish typing work of 100 page document in 9 hours, Mita in 6
hours and Rita in 12 hours. How long will they take to type a 100 page
document, if they work together?
12. Factorize : - 40 + 3x – x2
13. By what number should (5/3)-2 be multiplied so that the product will be
(7/3)-1?
14. Find the value of x for which 52x ÷ 5-3 = 55.
15.Given below is the frequency distribution of the heights of 50 students of a
class:
Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.