1-Find the smallest number by which 2475 must be multiplied to get a perfect square .
2-4096 soldiers are arranged in an auditorium in such a manner that there are as many
soldiers in a row as there are rows in the auditorium.How many rows are there in the
auditorium?
3-Find the least square number exactly divisible by each one of the numbers 6, 9, 10, 15 and
20 .
4-The area of the square field is 8464m2
. A man takes 3 rounds of this field. Find the
distance covered by him.
5-Express 81 as the sum of 9 odd numbers
6-Find the smallest five digit number which is a perfect square
.
7-Check, is ( 12 , 35, 37 ) a Pythagorean triplet?
8- What is the probability that a number selected from the numbers 1, 2, 3, …………., 25 is
a prime number , when each of the given numbers is equally likely to selected .
9-Tickets numbered from 1 to 20 are mixed up together and then a ticket is drown at
random. What is the probability that the ticket has a number which is a multiple of 3 or 7.
10- 17 cards numbered 1,2,3 …… 17 are put in a box and mixed thoroughly . One person
draws a card from the box. Find the probability that the number on the card is
(a) odd (b) a prime (c) divisible by 3 (d) divisible by 3 and 2 both
11- A bag contains 5 red balls , 8 white balls, 4 green balls and 7 black balls. If one ball is
drawn at random. Find the probability that it is
(a) Black (b) red (c) not green
12- The heights of 10 girls were measured in cm and the results were as follows :
143, 148, 135, 150, 128, 139, 149, 146, 151, 132
(i) What is the height of the tallest girl?
(ii) What is the height of the shortest girl ?
(iii) What is the range of the data ?
(iv) Find the mean height.
(v) How many girls are there whose heights are less than the mean height ?
13-Draw a bar graph to represent Ajay’s score, out of 100, in five subjects
in an examination. Subject English, Hindi, Maths, Science, Social St.
Marks : 78, 72, 96, 88, 80 respectively.
14- The population of 40 villages (in thousands) is given below :
6, 12, 8, 9, 14, 4, 4, 3, 6, 10, 9, 16, 4, 5, 7, 8, 11, 16, 20, 17, 3,
8, 10, 12, 7, 6, 4, 9, 12, 11, 15, 17, 13, 12, 22, 6, 12, 5, 9, 13.
Construct a frequency distribution table using class intervals 0-5,
5-10, --------
15-. Draw a Histogram to represent the above data.
16-. Plot the following points on a Cartesian System.
A (-3, 2), B(2, -5), C(0, 7), D(-4, -6), E(-5, 0),
F(0, -4), P(6, 0), O(0, 0) M(3, 7), N(5, -2),
Q(7, 3), R(-5, 7)
17-Construct a quadrilateral ABCD where AB=7.2cm, BC=6.5cm, CD=5.9cm,
AD=6.1cm, and AC=8.4cm.
18- Construct a quadrilateral FINE where FI =3.8cm, IN=3.4cm, NE=4.2cm and <I=75
19- Construct a quadrilateral ABCD where AB=5.2cm, BC=6cm, <A=120
20- Construct a rectangle with sides 5.2cm and 4.8cm.
21- Find the smallest number by which 12500 must be multiplied so that the product is a perfect cube.
22- Find the cube root of 140 * 2450.
.
