1
ST. CLARET SCHOOL
STD-VIII Subject : MATHEMATICS
Chapter 1
Unit - 1 - Playing with numbers
I. Fill in the blanks 1 Mark(s)
1) An integer a is divisible by 3 if and only _____________ is divisible by 3.
2) An integer a is divisible by 9 if and only if _______________ is divisible by 9.
3) An integer a is divisible by 5 if and only if it ends with ______________ or ____________.
4) Every even number greater than 2 can be represented as a sum of two ______________
5) A number is divisible by 4 if and only if the number formed by ______________ is divisible by 4.
6) Magic sum = ____________ the number is the central cell.
7) The generalised form of ̅̅̅̅̅̅̅ is ___________________
8) ______________ use base 2 representations.
9) The system of representing a number using base 10 was invented by _______________
10) The normal form of (7×100) + (5×10) + (8×1) is _______________
11) ̅̅̅̅̅ ̅̅̅̅̅is equal to _______________
12) 3 + B = 7, then the value of B is equal to ______________
13) 2A A = 12A then A is equal to _______________
14) The generalised form of 359 is _________________
15) Base - 16 representation is known as _________________
16) If ̅̅̅ ̅̅̅ is divided by 11, the remainder is equal to ______________
II. Choose the correct answer
17)
1 Mark(s)
The generalised form of ̅̅̅̅̅̅̅ is
a) a×1000+b×100+c×1+d
c) a×1000+b×100+c×10+d ×1
b) a×100+b×10+c×1+d×0
d) a×10,000+b×100+c×10+d×1
18) (6×1000) + (5×10) + (8×1) is equal to
a) 658
b) 6058
c) 6580
19) Computers use
a) Decimal system
b) Binary system
c) base 5 system
20) K1 1K = K2K then the letter K Stands for
a) 1
b) 2
c) 11
d) 4
21) The normal form of (7×1000) + (6×1) is
a) 7006
b) 76
c) 760
22) The generalised form of 7000 is
a) 7×100
b) 7 ×1
c) 7 ×1000
23) ̅̅̅
24) ̅̅̅̅̅
d) 60,058
d) 706
d) 7×10,000
̅̅̅ is equal to which of the following?
a) a×b+b×a
b) (10a + 1b) + (10a+1b)
(b×10 +a1)
̅̅̅̅̅ ̅̅̅̅̅̅is divisible by
a) 15
b) 37
c) 25
d) 17
d) base - 6 system
c) 11(a+b)
d) (a×1+b×10) +
2
25) If ̅̅̅̅̅ is a 3 digit number then the number n = ̅̅̅̅̅
divisible by
a) 8
b) 7
c) 6
̅̅̅̅̅
̅̅̅̅̅
̅̅̅̅̅
28) The number 444445 is divisible by
a) 2
b) 3
c) 4
̅̅̅̅̅+̅̅̅̅̅
̅̅̅̅̅
̅̅̅̅̅
̅̅̅̅̅ is always
d) 21
d) 3
d) 5
29) In the magic square
3
8
5
7
9
6
11
4
Magic sum is _____________
a) 21
b) 27
c) 49
d) 35
30) In the magic square
15 1
11
5
9
13
7
17 31
Magic sum is ___________
a) 27
b) 81
31) Example for a 'twin prime' as
a) (3,7)
b) (5, 7)
c) 15
d) 45
c) (7, 9)
d) (9, 11)
32) Which of the following is a perfect number
a) 4
b) 6
c) 9
d) 8
33) Which of the following is divisible by 3?
a) 212
b) 414
c) 515
d) 313
34) Which of the following is divisible by 4
a) 4818
b) 5156
c) 8434
d) 4738
35) Which of the following is divisible by 9?
a) 8955
b) 8945
c) 8935
d) 8925
III. Do as directed 2 Mark(s)
36) Represent 555 in base 5
37) Represent 1024 in base 2
̅̅̅̅̅is always
d) 5
26)
If̅̅̅̅̅ is a 3 digit number, then n = ̅̅̅̅̅
divisible by
a) 12
b) 15
c) 18
27) The number 345111 is divisible by
a) 15
b) 12
c) 9
10
̅̅̅̅̅
3
38) Find the digits A & C if 3A ×12 = C84
39) Find the digits P & Q
41P
+ Q15
526
40) Find A if
1A
× 1A
1BA
41) Find A & B if 1 B
+2A
B1
42) Find A & B if 3 A
× A
2BA
43) Is the number 23456 divisible by 11?
44) Is the number 444445 divisible by 3.
45) Is the number 123456 divisible by 4
46) How many numbers from 101 to 200 are divisible by 5?
47) How many numbers from 201 to 250 are divisible by 5 but not by 3?
48) Define perfect number & give 2 examples.
49) Define twin prime & give 2 examples.
50) Define Mersenne primes.
51) Write 4 and 8 using 3 and 5 each at least once, using addition and subtraction.
52) Find A,B,C in the adjacent multiplication table.
A B C
× AA
AC6C
53) Prove that the sum of a two digits number and its revered form is divisible by 11.
IV. Solve the following
3 Mark(s)
54) Prove that 12456 is divisible by 36 without actually dividing it.
55) Prove that 4 digit palindrome is always divisible by 11.
56) If ̅̅̅̅̅̅̅is divisible by 11. Find all possible values of a + b.
57) Is the number 12345 divisible by 15?
58) Using the digits 4, 5,6,7,8 each once, construct a 5-digit number which is divisible by 132.
59) Construct a 3×3 magic square using all odd numbers from 1 to 17.
60) Construct a 3 ×3 magic square starting from 1.
61) Construct a 3 ×3 magic square using all even numbers from 6 to 22.
62) Construct a 3 ×3 magic square using the numbers from 9 to 17.
V Simplify 4 Mark(s)
63) In the adjacent sum, A, B,C are consecutive digits. In the third row A, B, C appear in some
order. FindA,B,C
A B C
+C B A
_ _ _
4
________
12 4 2
64) Construct a 5 ×5 magic square using all even numbers from 1 to 50.
65) Construct a 5 ×5 magic square using all odd numbers from 1 to 50.
66) Using the numbers from 5 to 13, Construct a 3×3 magic square. What is the magic sum here? What relation
is there between the magic sum and the number in the central cell?
67) The page numbers of a book written in a row gives a 216 digit number. How many pages are there in
the book?
Chapter 1
Unit - 2 - Square, Square roots, Cube & Cube roots
I. Fill in the blanks 1 Mark(s)
1) A perfect square number is the product of two ______________________
2) The Square root of 625 is ____________________
3) The symbol for square root is _________________
4)
Every perfect square number has _______________ roots
5) Square numbers are integers raised to the power ________________
6) The cube of 11 is ______________
7) If a perfect square has 'n' digits where n is even, its square root has _____________ digits.
8) If a perfect square has 'n' digits where 'n' is Odd, its square root has _____________ digits.
9) The square of
is ____________________
II Choose the correct answer
1 Mark(s)
10) A number which can be expressed as the product of two equal integral factor is called as __________.
a) Natural number
b) Even number
c) Perfect square number
11) Square of an even number is always ________________
a) Odd
12)
c) Prime
d) Zero
If 'n' is a non -zero integer, its square is
a) n
13)
b) Even
b)
c) 1
d) 0
The square of 35 is _________________________________
a) 225
b) 325
c) 725
14) Square of 0.17 is ___________
a) 28.9
b) 2.89
c) 0.0289
d) 1225
d) 0.289
15) 0.00000081 can be written as ___________________
)
)
)
a. (
b) (
c) (
d) (
16) The symbol of square root is ________________
a)
b) √
c) 111
d)
)
d) Cube number
5
17) A 7 digit numeral has __________ digits in its square root.
a. 7
(b) 2
(c) 4
(d) 3
18) The Square root of 1000 lies between:
a. 30 and 31.
b) 31 and 32
19) The valueof(
a) 23
)
(
a) √
√
b) 23
a) 420
c) 45
√
b) 450
d) 54
is ________________
c) 43
21) The Value of √
d) 29 and 30.
) is ________________
b) 22
20) The value of√
c) 32 and 33
d) 39
is ________________
c) 430
d) 480
22) The cube of 17 is _____________
a) 4913
b) 3813
c) 4713
23) The cube of 2.1 is __________________
a. 4.881
b) 9.441
24) The symbol to represent Cube Root is
a.
b)
c) ( )3
d) 4313
c) 8.361
d) 9.261
d)
25) The cube having same value as its cube root is _______________________
a. 4
b) 8
c) 27
d)1
26) The number which is a perfect square as well as perfect cube is ______________
a) 256
b) 576
c) 729
d) 343
III Do as directed 2 Mark(s)
30.Make a list of square numbers from 1 to 500.
31.Find numbers from 100 to 400 that end with 0, 1, 4, 5, which are perfect squares.
32. Find the sum of 1+3+5+__________________+21.
33.Find the squares of (i) 72
(ii) 55
34.Find the square root 256 by factorisation.
35. Simplify √
√
36. Simplify √
√
37. Simplify √
√
38. Find the nearest integer to the square root of √
39.Find the square root of 1156 by factorisation.
40.Find the largest perfect square factor of 729.
41.Find the largest perfect square factor of 48
42.What are the remainders of a perfect square when divided by 5.
IV Solve the following
3 Mark(s)
43.Find the square of 1468 by writing this as 1465 + 3
6
44.Find the square root of 13225 by factorisation.
46.Simplifyi) √
ii) √
√
√
√
47. A square yard has area 1764 m2. From a corner, another square part of area 784m2 is taken out. The
remaining portion is divided into 5 equal square parts. What is the perimeter of each equal part?
48. A student was asked to find√
. He read it wrongly and found √
to the nearest integer.
How much small was the number from the correct answer?
49. How many perfect cubes are there from 1 to 500? How many are perfect square from the cubes?
50.Find the cube root of -17576 using factorisation.
V Simplify 4 Mark(s)
51. Find the square root by factorisation.
(i) 10404
(ii) 6724
52.Find the cube root of 91125 by looking at the last digit and using estimations.
53. Find the cube root of 166375 by looking at the last digit and using estimations.
54. Find the cube root by prime factorisation.
(i) 46656
(ii) 10648
55. Find the smallest positive integer with which one has to multiply the following to get a perfect
square.
(i) 1445
(ii) 1352
56. Find the smallest positive integer with which one has to divide each of the following to get a perfect
square.
(i) 4800
(ii) 2475
57.Find the largest perfect square factor of the following
(i) 729
(ii) 11280
58.A piece of land is in the shape of a square and its area is 1000m2. This has to be fenced using barbed
wire. The barbed wire is available only in integral lengths. What is the minimum length of the barbed
wire that has to be bought for this purpose.
Lesson : Unit - 3 Rational Numbers
I.Fill in the blanks1 Mark(s)
1. The number '0' is not in the set of ________________.
2. The least number in the set of all whole number is _____________.
3. The successors of 18 in the set of natural number is _______________.
4. The additive inverse of '0' is __________________.
5. The multiplicative inverse of 1 is ________________.
6. The additive inverse of is ____________.
7. The multiplicative inverse of 9 is _______________.
8. The integer reciprocal to itself is ________________.
9. The value of + is _____________.
7
10. -21
______ = -21. The missing number is ____________.
11. 78 __ = 21 78. The missing number is ___________.
12. 48 + ____ = 0, the missing number is __________.
13. The large number among 8, -8, -16, 2, -3 is ______________.
14. The value of (+9) ( -7) (-1) (0) = ______________.
II Choose the correct answer
1 Mark(s)
15. The set of rational numbers is denoted by
a) W
b) Z
c) N
d) Q
16. Sum and product of any two natural numbers is a natural numbers. This property is called
__________ property.
a) Commutative
b) Associative
c) Distributive
d) Closure.
17. Commutative property of natural number is represented by
a) a+b = b+a
b) a+b = a+b
c) a-b = b-a
d) a+b = a-b
18.The set of whole numbers contains.
a) {1, 2, 3, 4}
b) {-1, -2, -3........} c) {0,1,2,.........} d) { ..........-3, -2, -1, 0, 2....}
19. 1 10 = 10 1. Here "1" is called as
a) Identity
b) Inverse
c) Positive
d) Negative.
20.The set containing positive numbers, negative numbers and zero is called:
a) Set of natural numbers
b) Set of integers
c) Set of whole numbers
d) Set of
rational numbers.
21.The sum of negative integer is
a) Negative
b) Positive
c) Neutral
22. The sum of -108 - (-28) is
a) 136
b) 80
c) -136
d) -80
d) Zero.
23. In negative integer divided by a negative integer, the quotient is
A)Positive
b) Negative
c) Both positive and negative
negative.)
24. The value of (3) (-2) (-20) 0 is __________________.
a) 25
b) -19
c)0
d) -120
25.The set of integers is closed under the operations.
a) Additions
b) Subtraction
c) Multiplication
d) Neither positive not
d) all of these.
26. For every rational numbers there exists ___________ inverse
a) Additive
b) Multiplicative
c) both ( a and b)
27. The additive inverse of -8 is
a) -8
b) 8
c) -
d)
28. The multiplicative inverse of
a)
b) -
c) -
is
d)
29. The numbers which has no multiplicative inverse is
d) neither (a nor b)
8
a) 0
b) 1
c) -1
d)2
30. The set of integers is a subset of __________
a) N
b) W
c) Q
d) R
31. The property used in the statement 2 + (3+5) = (3+5) + 2 is
a) Commutative
b) Closure
c) Associative
32.The property used in the statement
a) Commutative
d) Distributive.
a (b+c) = ab + ac is __________
b) Closure
d) Associative
d) Distributive
III Do as directed 2 Mark(s)
32. Find the integer m in the following:
a) m+25= 15
b) 2m-5 = 11
34. Find the integer m in the following.
a) m +28 = -19
b) - 2 = 4
35. Write the following in increasing order.
a) 21, -8, -26, 85, 33, -333, -210, 0, 2011
b) 70, 85, -125, -515, 84, 270, -910, 6
36. Write the following in decreasing order.
a) 18, -17, 80, -115, -1, 312, 1050, -777
b) 20, 35, -105, -760, 904, 84, -5, 6, 16
37. Identify the property in the following statement.
a) 2+(3+4) = (2+3) +4
b) 8
2=2
8
c) 8
d) 10 + 2 = 2 +10
38. Write the additive inverse of the following integers.
a) 6
b) -76
c) 1000
d) -123
39. Name the property indicated in the following.
a)
=
b)
+
= 0
c)
40. Write the multiplicative inverse of each of the following.
a)
b)
c) 4
d)
d)
(6+5) = (8
6) + (8
5)
9
41.Write the additive inverse of each of the following.
a)
b)
c)
d)
42. Simplify:
43. Write down 4 rational numbers which are equivalent to
and the denominator not exceeding 80.
44. Write down 4 positive rational numbers such that numerator - denominator for each of them is -2.
IV Simplify 3 Mark(s)
43.
Check commutative property of addition.
,
44.
Check commutative property of multiplications
,
45. Write 5 rational number between and
having the same denominator.
45. Write 5 rational number between and
46.
having the same denominator
47. a) Write down 5 positive rational numbers such that the sum of the numerator and the denominator of
each is 15. Write them in decreasing order.
b) Write down 5 positive numbers such that the sum of the numerator and the denominator of each is
8. Write them in increasing order.
48. Simplify:
a)
( )
49. Simplify
50. Simplify
b)
(
(
)
)
Lesson : Unit - 4 Commercial arithmetic
I. Fill in the Blanks: 1 Mark
1. The amount paid to purchase the article is ______________
a) Selling Price b) Cost Price c) Retail Price d) Wholesale price.
2. There are 6 pineapples out of 20 fruits. The percentage of pineapples is __________
a) 6% b) 20% c) 30%
d) 14%
3. What percent of 50 meters is 12 meters?
a) 20% b) 60% c) 24% d) 32%
4. 12% means ________________.
a) 12 b) 12X100 c) 12/100 d) None.
5. Shankar purchased an article for Rs. 10,000 and sold it for Rs.9000 The loss percentage is
a) 20% b) 15% c) 25% d) 10%
6. Selling Price = ______________
10
(100  gain %)
(100  gain %)
(100  gain %)
X C.P
b)
X C.P
c)
X 100
100
100
C.P
(100  gain %)
d)
X 100
C.P
7. An article marked Rs. 450 was allowed a discount of 20%. The discount is __________
a) Rs. 45 b) Rs. 60 c) Rs. 90 d) Rs. 120.
8. Bank is a _______________ institution.
a) Educational
b) Medical
c) Financial
d) Engineering.
II. Fill in the Blanks: 1 Mark
1. The amount at which an article is sold is _____________
2. The amount at which an article is bought is ________________
3. 20% of a number is 80. The number is ______________
4. Cost price – Selling price = _______________
5. Selling price – cost price = _________________
6. _______________ is the excess money gained over cost price.
7. Formula to find simple interest (I) is _______________
8. The money that the broker receives for the deal is called _____________
a)
III. Solve the following: 2 Marks
1. A man spends 78% of his monthly income and saves Rs. 1100. What is his monthly income?
2. The salary of Ramu is Rs. 12,500 per month. He gets an increment of 5% of his salary. What is his
salary after the increment?
3. In a school function Rs. 360 remained after spending 82% of the money. How much money was
there in the beginning?
4. Akshay’s income is 20% less than that of Ajay. What percent of Ajay’s income more than that of
Akshay?
5. An article marked Rs. 800 and sold for Rs. 704. Find the discount and rate of discount.
6. Find the Simple Interest on Rs. 2500 for 4 years at 6 % per annum.
7. What some of money will yield an interest of Rs. 225 at 10% p.a in 3 years?
8. Find simple interest if Principal = Rs. 3,750=00, Rate of interest = 8% p.a and time = 2 years.
III. Do as Directed: 3 Marks
1. Suraj bought a table marked at Rs. 2225 for Rs. 2113.75. Find the rate of discount.
2. Sindhu sells her scooty for Rs. 28,000.00 through a broker. The rate of brokerage is 2 ⁄ %. Find
the commission the agent gets and net amount Sindhu gets.
3. A sum of money triples itself in 8 years. Find the rate of interest.
4. A person purchases electronic goods worth Rs. 2,580 and the sales tax is 10%. And medicines worth
Rs. 200 with the sales tax of 6%. Find the total tax amount he pays.
5. Ramya borrowed a loan from a bank. After 4 years she paid Rs. 26,640 and settled the accounts. If
the rate of interest is 12% per annum, what was the sum she borrowed?
IV. Solve the following: 4 Marks
1. By selling a watch for Rs.720, Ravi loses 10%. At what price should he sell in order to gain 15%?
2. The C.P of 12 pens is equal to the S.P of 10 pens. Find the profit percentage.
3. If the C.P of 21 cell phones is equal to S.P of 18 cell phones, find the profit percentage.
11
4. A person buys electrical items worth Rs. 5,000.00 for which sales tax is 3% and other material worth
Rs. 12,000.00 for which sales tax is 12%. He manufactures a gadget wing all these and sells it a
profit of 20%. What is the selling price?
5. A trader purchases 70KG of tea at the rate of Rs. 200 / kg and another 30 kg at the rate of Rs. 250 /kg.
He pays a sales tax of 4% on the transaction. He mixes both of them and sells the product at the rate of
Rs. 240/kg. What is the percentage gain or loss (Find approximate Value).
Lesson : Unit - 1 Statistics
I
Fill in the blanks
1 Mark(s)
1. ______________________ is considered to be a mathematical science pertaining to the collection,
analysis and interpretation and presentation of data.
2.
3.
4.
5.
A collection of numerical facts with particular information is called _____________________.
The difference between the highest and the lowest score is called___________________.
The representation of raw data in tabular form is called ____________________.
The method in which the scores do not overlap in any group while grouping the data is called
_________________ method.
6. The number of scores in the class interval is called________________.
7. The midpoint of a class is called its ___________________________
8. The method in which the scores overlap in two groups while grouping is called _________ method.
9. A ___________________ is a two dimensional graphical representation of data.
10. Sum is denoted by _________________________
11. Mean is denoted by ______________________
12. _____________________ is the midpoint of the data after being arranged in ascending or descending
order.
13. If the data has only one mode, we say it has ________________
II
Choose the correct answer
15. The Size or width of the class interval (0-4) is
a) 4
b) 5
c) 3
1 Mark(s)
d) 0
16. The midpoint of class interval (10-19) is
a) 10
b) 14
c) 15
d) 14.5
17. The difference between highest and lowest score of a distribution gives
a) Class Interval
b) Class Width
c) Range
d) Class Limit
18. The number of times a particular observation occurs in a data is called
a) Frequency
b) Range
c) Class Interval
d) Class Limit
19. In inclusive form, the actual upper limit and lower limit of class interval (0-4) are
a) -0.5 & 3.5
b) - 0.5 & 4.5
c) -1 & 5
20. The heights of a rectangle in a histogram represent.
a) Class Interval
b) Mid Point
d) 1 & 5
c) Frequency Density
d) Frequency
12
21. In a histogram the width of the rectangle indicates.
a) Class Interval
b) Mid Point
c) Frequency density
d) frequency
22. The mean of scores 10, 15, 12, 15, 15 is.
a) 15
b) 13
c) 13.4
d) 14.3
23. Class interval grouping of data is done when.
a) the range of data is small
b) the range of data is large
small
d) Class intervals are large
c) the class intervals are
24. The mean of 6, -4, 7, x and 10 is 8, the value of x is
a)10
b) 21
c) 14
d) 13
26. The mean of the first three multiples of 5 is.
a) 5
b) 10
c) 15
d)30
27. The median on 37, 83, 70, 29, 32, 42, 40 is.
a) 29
b) 30
c) 40
d) 42
28. In an inclusive class interval (10-14) the lower real limit is
a) 9.5
b) 10.5
c) 13.5
d) 14.5
29. In an exclusive class interval (10-20) the lower real limit is
a) 20
b) -10
c) 10.5
d) 20.5
30. The mode of 2, 3, 3, 5, 3, 5, 7, 3, 5 is.
a) 3
b) 5
c) 3 & 5
d) 3,5,7
31. For given two numbers 16, 18, the frequencies are respectively 12 and 20. Then the mode is
a) 16
b) 18
c) 12
d) 20
32. A collection of data having more than 3 modes is said to be.
a) Uni-mode
b) Bi - mode
c) Tri - mode
d) Multi - mode.
III Do as directed
2 Mark(s)
33. The mark scored by 20 students in a unit test out of 25 marks are given below. Prepare a frequency
distribution table.
12, 10, 08, 12, 04, 15, 18, 23, 18, 16, 16, 12, 23, 18, 12, 05, 16, 16, 12, 26
34. Find the mean of first six even natural numbers.
35. Marks scored by Hari in 5 tests are given. 24, 22, 23, 23, 25. Find the average score.
36. Find the median of the data 26, 31, 33, 37, 43, 8, 26, 33.
13
37. Find the median of the data 32, 30, 28, 31, 22, 26, 27, 21.
38. Find the mode for the data. 15, 20, 22, 25, 30, 20, 15, 20, 12, 20.
39. Find the mode of the data 5, 3, 3, 5, 7, 6, 3, 4 3, 5, 8, 5
40. Find the mode for the following data.
Number 12 13 14 15 16 17
Freq
7 9 6 22 20 19
41. Runs scored by 10 batsmen in a one day cricket match are given.
Find the average run scored.
23, 54, 08, 94, 60, 18, 29, 44, 05, 86
42. Find the median of the data
15, 22, 9, 20, 6, 18, 11, 25, 14
43. Find the median of the data.
22. 28, 34, 49, 44, 57, 18, 10, 33, 41, 66, 59
44. Find the mode for the following data
a) 4, 3, 1, 5, 3, 7, 9, 6.
b) 22, 36, 18, 22, 20, 34, 22, 42, 46, 42
45. Find the mode of the following data.
x 5 10 12 15 20 30 40
f 4 8 11 13 16 12 9
IV Solve the following
3 Mark(s)
46. Consider the following marks scored in Mathematics by 50 students of 8th std class. Prepare frequency
distribution table.
41, 31, 33, 32, 28, 31, 21, 10, 30, 22, 33, 37, 12, 05, 08
15, 39, 26, 41, 46, 34, 22, 09, 11, 16, 22, 25, 29, 25, 31
39, 23, 31, 21, 45, 47, 30, 22, 17, 36, 18, 20, 23, 44, 16
24, 10, 27, 39, 28, 17
47. Draw the histogram of the following frequency distribution.
C.I
0-9
10-19
20-29
30-39
40-49
50-59
Frequency
5
8
12
18
22
10
14
48. Draw the histogram for the following frequency distribution.
C.I
Frequency
0-5
5
5-10
8
15-20
15
20-25
4
49. Draw a histogram to represent the following frequency distribution.
C.I
Frequency
20-25
5
25-30
10
30-35
18
35-40
14
40-45
12
50. Draw a histogram to represent the following.
C. I
Frequency
10-19
7
20-29
10
30-39
20
40-49
5
50-59
15
51. The number of goals scored by a hockey team in 20 matches is given here. Find the mean.
4, 6, 3, 2, 2, 4, 1, 5, 3, 0, 4, 5, 4, 5, 4, 0, 4, 3, 6, 4.
52. Find the mean for the given frequency distribution table.
C. I
Frequency
0-4
3
5-9
5
10-14
7
15-19
4
20-24
6
53. Find the mean weight from the following table.
Weight(KG) 29 30 31 32 33
No. of
02 01 04 03 05
children
54. Calculate the mean for the following frequency distribution
15
Marks 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Freq 3
7
10
6
8
2
55. Calculate the mean for the frequency distribution.
4
Marks
15-19
20-24
25-29
30-34
35-39
40-44
Freq
6
5
9
12
6
2
V
Simplify
4 Mark(s)
56. Forty candidates from 10th class of a school appear for a test. The number of questions attended by
them in forty five minutes are given here.
Prepare a frequency distribution table with the class size 10 and answers the following.
52, 42, 40, 36, 12, 28, 18, 37, 35, 22, 39, 50, 54, 39, 21, 34, 46, 31, 10
09, 13, 24, 29, 31, 49, 58, 40, 44, 37, 28, 13, 16, 29, 36, 39, 41, 47, 55, 52, 09
i) Which class has the highest frequency?
ii) which class has the lowest frequency
iii) Write the upper and lower limit of the class (20-29)
iv) Which two classes have the same frequency.
57. The heights of 25 children in centimetre are given below:
Prepare a frequency distribution table taking the size of the class interval as 20, and answer the
following:
174, 168, 110, 142, 156, 119, 110, 101, 190, 102, 190, 111, 172, 140
136, 174, 128, 124, 136, 147, 168, 192, 101, 129, 114.
i) Mention the class intervals of highest and lowest frequency.
ii) What does the frequency 6 corresponding
iii) Find out the class mark ( or midpoint) of (140-160)
iv) What is the range of heights?
58. The marks scored by 40 candidates in an examination (out of 100) is given below.
Prepare a frequency distribution table with the class size 10. Take the class intervals as (30-39), (40-49)
and answer the following questions.
75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61, 42
46, 68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45, 51, 47, 41, 43
i) Which class intervals have highest and lowest frequency.
ii) Write the upper and lower limits of the class interval 30-39
iii) What is the range of the given distribution.
59. Prepare the frequency distribution table for the given set of scores. Take class intervals as (1-20), (2030) and answer the following.
39, 16, 30, 17, 53, 15, 16, 60, 58, 26, 28, 19, 20, 12, 14, 24, 59, 21, 57, 38, 25, 36,
16
34, 15, 25, 41, 42, 45, 60, 63, 18, 26, 43, 36, 18, 27, 49, 63, 46, 48, 25, 33, 46, 27,
46, 42, 48, 35, 64 24
i) What does the frequency corresponding to the third class interval meals?
ii) What is the size of each class interval?. Find the midpoint of the class interval 30-40
iii) What is the range of the given set of scores.
60. Find the median for the following grouped data.
Class Interval
1-5
6-10
11-15
16-20
21-25
Frequency
4
3
6
2
5
N=20
61. Calculate the median for an exclusive(continuous distribution given below)
Class Interval
10-20
20-30
30-40
40-50
50-60
Frequency
11
13
13
9
4