Answer the following questions
Section-A
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CBSE 8th Mathematics- Square and Square root
1. Show that 500 is not a perfect square.
2. Express 81 as the sum of first nine consecutive odd numbers.
3. Using prime factorisation, find the square roots of (a) 11025 (b) 4761
4. Find the square root of the following by long division method.
(a) 1369 (b) 5625
5. Find the square root of the following by long division method. :
2. Express 81 as the sum of first nine consecutive odd numbers.
3. Using prime factorisation, find the square roots of (a) 11025 (b) 4761
4. Find the square root of the following by long division method.
(a) 1369 (b) 5625
5. Find the square root of the following by long division method. :
(a) 27.04 (b) 1.44
6. What is the least number, that should be subtracted from 1385 to get a perfect square?
7. What is the least number that should be added to 6200 to make it a perfect square?
8. Find the least number of four digits that is a perfect square.
9. Find the least square, number, which is exactly divisible by 3, 4, 5, 6 and 8
10. A decimal number is multiplied by itself. If the product is 51.84, then find the number.
7. What is the least number that should be added to 6200 to make it a perfect square?
8. Find the least number of four digits that is a perfect square.
9. Find the least square, number, which is exactly divisible by 3, 4, 5, 6 and 8
10. A decimal number is multiplied by itself. If the product is 51.84, then find the number.
11. A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?
12. Find three numbers in the ratio 2 : 3 : 5, the sum of whose squares is 608.
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12. Find three numbers in the ratio 2 : 3 : 5, the sum of whose squares is 608.
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CBSE 8th Mathematics Worksheet - Exponents and Powers
Answer the following
1. Simplify:
a)
b)
c)
d)
e)
f)
g)
2. Find the value of x
a)
b)
3.
4. Write in the standard form.
a) 39,00,00,000 b) 0.000005678 c)73,500,000,000,000,000,000,000
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CBSE 8th Mathematics Worksheet - Data Handling & Probability
Answer the following
1. Tally marks are used to find
(a) Class intervals (b) Range (c) Frequency (d) Upper limit
2. The weekly wages (in Rs.) of 30 workers in a factory are
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.
Using tally marks, make a frequency distribution table with class intervals 800 – 810, 810 – 820 and so on
3. The pie chart gives the marks scored in an examination by a student in different subjects. If the total marks obtained were 540, answer the following questions–
(i) In which subject did the student score 105 marks?
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
4. Draw a pie chart for the given data.
5. The top speeds of thirty different land animals have been organized into a frequency table. Draw a histogram for the given data.
6. A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is ____________
7. A glass jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of same size. Hansik takes out a marble from the jar at random. What is the probability that the chosen marble is of red colour?
8. A dice is rolled once. What is the probability that the number on top will be
(a) Odd
(b) Greater than 5
(c) A multiple of 3
(d) Less than 1
(e) A factor of 36
(f) A factor of 6
9. Reem draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is 2/9. If the total number of balls in the bag is 36, find the number of yellow balls.
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CBSE 8th Mathematics Worksheet - Important Questions-Linear Equations & Understanding Quadrilaterals
Answer the following
1. Solve
a)
b)
c)
d)
e)
2. Simplify
a) 0.4(3x –1) = 0.5x + 1
b) 5(x – 1) – 2(x + 8) = 0
c) 3 (5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
3. Solve : 5x – 3 = 3x + 7
4. The sum of three consecutive numbers is 156. Find the numbers.
5. Fifteen added to thrice a whole number gives 93. The number is __________.
6. After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age
7. The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
8. Find x
2. Simplify
a) 0.4(3x –1) = 0.5x + 1
b) 5(x – 1) – 2(x + 8) = 0
c) 3 (5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
3. Solve : 5x – 3 = 3x + 7
4. The sum of three consecutive numbers is 156. Find the numbers.
5. Fifteen added to thrice a whole number gives 93. The number is __________.
6. After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age
7. The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
8. Find x
9. Find the values of x and y
10. Each interior angle of a polygon is 108°. Find the number of sides of the polygon.
11. If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, find the ratio of these angles.
12. The angles of a quadrilateral are in the ratio 3 : 7 : 6 : 4. Find the angles.
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CBSE 8th Mathematics Worksheet - Cube-Cube root
Answer the following
1. The cube of 0.3 is ___________
2. The cube root of 729 is __________
3. Check whether 1728 is a perfect cube by using prime factorisation.
4. Using prime factorisation, find the cube root of 5832.
5. Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.
6. By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also find the cube root of the quotient.
7. If one side of a cube is 15m in length, find its volume.
8. Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.
9. Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.
10. Evaluate :
a)
b)
1. The cube of 0.3 is ___________
2. The cube root of 729 is __________
3. Check whether 1728 is a perfect cube by using prime factorisation.
4. Using prime factorisation, find the cube root of 5832.
5. Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.
6. By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also find the cube root of the quotient.
7. If one side of a cube is 15m in length, find its volume.
8. Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.
9. Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.
10. Evaluate :
a)
b)
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CBSE 8th Mathematics Worksheet - Rational Numbers
Answer the following
1. Find the three rational numbers lying between -3/4and 1/2
2. Find 4/7 x 14/3 ÷2/3
3. Using appropriate properties, find -2/3 x -5/7+ 7/3+ 2/3 x-2/7
4. The reciprocal of 2/5 x -4/9 is _____________
5. Arrange the numbers 1/4, 13/16, 5/8 in the descending order.
6. Write any 5 rational numbers between -5/6 and 7/8
7. Let a, b, c be the three rational numbers where a = 2/3, b= 4/5,c= -5/6
Verify:
(i) a+ (b + c) = (a + b) +c (Associative property of addition)
(ii) a × (b × c) = (a × b) × c (Associative property of multiplication)
8. The product of two rational numbers is -14/27. If one of the numbers be 7/9, find the other.
9. A farmer has a field of area 49 4/5 hectares. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share.
10. On a winter day the temperature at a place in Himachal Pradesh was –16°C. Convert it in degree Fahrenheit (৹F) by using the formula.
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CBSE 8th-Mathematics Worksheet- Comparing Quantities/Percentages-2
Answer the following:
1. A man sold two articles at Rs 25920 each. These were sold at 8% gain and 4% loss respectively. Find the gain or loss present in the whole transaction.
2. The discount per cent is calculated on the _________ price of an article.
3. A shirt with marked price Rs 1500 was sold to a customer for Rs 1080. Find the rate of discount allowed on the shirt.
4. If M.P = Rs 650 and discount = 10% Find Sale Price
5. Reena offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs 280?
6. What price should a shopkeeper mark on an article that costs him Rs 600 to gain 20%, after allowing a discount of 10%
7. Sana bought a product for Rs 3,155 including 4.5% sales tax. Find the price before tax was added.
8. Priya purchased a toy for Rs 660 including sales tax. If the rate of sales tax is 10%, find the selling price of the toy
9. Arun buys a book costing Rs 600. If the rate of sales tax is 7%, then what is the total amount payable by him?
10. Shreya bought medicines from a medical store as prescribed by her doctor for Rs 36.40 including 4% VAT. Find the price before VAT was added.
11. Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.
12. Find the compound interest on Rs 48,000 for one year at 8% per annum when compounded half yearly.
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CBSE 8th-Mathematics worksheet-Comparing Quantities/Percentages-1
Answer the following:
1. 70% of
students in a school are boys and the number of girls in the school is 504.
Find the number of boys.
2. Alena
spends 40% of her salary on food, 25%on house rent, 15% on entertainment
and 5% on conveyance. Her savings at the end of the month is Rs. 1200. Find the
salary per month.
3. If 60%
people speak Spanish, 30% speak English and the remaining speak other language,
then what percent of the people speak other languages? If the total population
is 50 Lakhs, find the exact number of people who speak each type of language?
4. The
human body is made up mostly of water. In fact, about 67% of a person’s total
body weight is water. If Diya weights 56 kg, how much of her weight is water?
5. The
annual rate of growth of population of a certain city is 8%. If its present
population is 1,96,830, what was the population year ago.
6. The
enrollment in a school increases from 1200 to 1254. Determine the percent
increase in student enrollment.
7. The
bacteria in our hands grow at the rate of 20% every hour. What will be their
count after 3 hrs if their initial count is 5 lakhs.
8. A
number is increased by 20% and then it is decreased by 20%. Find the net
increase or decrease per cent.
9. Lemons
were bought at Rs 48 per dozen and sold at the rate of Rs 40 per 10. Find the
gain or loss per cent.
10. Raj
bought a watch for Rs. 800 and sold it for Rs. 1000. Anu bought a car for Rs.
4,00,000 and sold it for Rs. 4,20,000. Who made a better sale, Raj or Anu?
11. A real
estate agent receives Rs 50,000 as commission, which is 4% of the selling
price. At what price does the agent sell the property?
12. A watch
worth Rs 5400 is offered for sale at Rs 4,500. What per cent discount is
offered during the sale?
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CBSE 8th Mathematics Worksheet - Understanding Quadrilaterals
Answer the following
1. Find x
2. Two adjacent angles of a parallelogram are in the ratio 4:5. Find their measures.
3. The angles of a quadrilateral are in the ratio 3 : 7 : 6 : 4. Find the angles.
4. Three angles of a quadrilateral are 50°, 40° and 123°. Find its fourth angle.
5. Each interior angle of a polygon is 108°. Find the number of sides of the polygon.
6. What is the sum of all the angles of a pentagon?
7. How many diagonals does a hexagon have?
8. A nonagon has __________ sides.
9. Find the values of x and y
10. PQRS is a parallelogram such that m∠R = 110°, then find m∠P and ∠S.
11. Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.
12. The perimeter of a parallelogram is 150 cm. One of its side is greater than the other by 25 cm. Find length of all sides of the parallelogram.
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CBSE 8th Mathematics Important Questions/Worksheet- Square and Square roots
Answer the following
- Find the square root of 1764
- Find the square root of 3136 by long division method.
- Find the side of a square whose area is 1024 m2
- 2025 students are made to stand in a field in such a way that each row contains as many students as the number of rows. Find the number of rows and the number of students in each row
- Find the square root of 363609 by long division method
- Find the value of √3249- √2209 / √361- √81
- Which least number should be subtracted from 629 so as to get perfect square?(Hint: Long division method)
- Find the least number that must be added to 1300 so as to get perfect square? Also find the square root of the perfect square. (Hint: Long division method)
- Find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square. Also, find the square root of the perfect square.(Hint: Prime factorization method)
- Find the least number by which 384 must be divided to make it a perfect square.(Hint: Prime factorization method)
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