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Rudrani Rooj
Math Test
Feb 23, 2024
Total Marks: 160
Time: 3 hours
Instructions: Show all the steps clearly

Question
1) The marks scored by 20 students in a test are given below:
84, 57, 53, 89, 41, 57, 47, 64, 58, 44, 53, 72, 51, 78, 71, 62, 56, 68, 54, 42
Complete the following frequency table:

Marks
3+2+2=
7

i) Construct a frequency distribution table with a lower limit of 40 and an upper
limit of 90
...

ii) Using the table, find how many students scored less than 72 marks
...

2) The number of workshops organized by a school in different areas during the
last six years are as follows:

2

Draw a bar graph representing the data
...

ii)
Find the range
...

iv)
Find the median
...

vi)
How many players have their height less than the mean height?
4) Theja studies 8 hours, 6 hours, and 2 hours on three consecutive days
...
One slip is chosen from the box without looking into it
...
Answer the following questions:
(i) How many hours did the maximum number of students watch T
...
?
(ii) How many students have watched T
...
for less than 4 hours?
(iii) How many students have spent more than 5 hours watching T
...
?
(iv) What scale has been chosen?

8) Consider the following data collected by a sports survey:
Favourite Sport

3+2+2=
7

Cricket

Basket
Football1
Hocket
Swimming
ball
Watching
1240
470
510
423
250
Participating
620
320
320
2502
105
i)
Draw a double-bar graph using the appropriate scale
...
Irfan has
37 marbles
...
How many marble Permit has?

20

Rudrani Rooj
Math Test
Feb 23, 2024
Total Marks: 160
Time: 3 hours
Instructions: Show all the steps clearly

ii) Laxmi’s father is 49 years old
...
Find
Laxmi’s age
...
The highest score is 87
...

iv) In the isosceles triangle, the vertex angle is twice the base angle
...

v) Which of the following equations can be formed starting with x=0?
a) 2x+1= -1;
𝑥

b) 2+5=7
c) 3x – 1 = -1
d) 3x – 1 = 1
vi) Which of the following equations cannot be formed using the equation x=7?
a) 2x+1=5
b) 7x-1=50
c) x-3=4
𝑥
d) 7 – 1=0
vii)
viii)
ix)

x)

My younger sister’s age today is 3 times what it will be 3 years from now
minus 3 times what her age was 3 years ago
...

If 45 is added to half of a number, the result is triple the number
...

A man travelled two-fifths of his journey by train, one-third by bus, and onefourth by car, and the remaining 3 km on foot
...


Rudrani Rooj
Math Test
Feb 23, 2024
Total Marks: 160
Time: 3 hours
Instructions: Show all the steps clearly

2

10)
11) In the figure below, POR is a line
...
Then the values of a and b are 2
respectively?

13) In the figure below, angle ROS is a right angle, and angle POR and angle QOS are in 2
the ratio 1:5
...


14) In the figure below, POQ is a line, then find a

2

Rudrani Rooj
Math Test
Feb 23, 2024
Total Marks: 160
Time: 3 hours
Instructions: Show all the steps clearly

15) Three lines AB, CD, and EF intersect each other at point O
...


16) Which one is true and why?

2

17)

3

18)

3

Rudrani Rooj
Math Test
Feb 23, 2024
Total Marks: 160
Time: 3 hours
Instructions: Show all the steps clearly

3
19) In the figure below, find the values of x and y:

2

20)

3

21)

3

22) Points A and B on the opposite edges of the pond are shown in the diagram below
...
Find the distance AB
...
Each box of the larger type contains
4 more mangoes than the number of mangoes contained in 8 boxes of the smaller type
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Find the number of mangoes contained in the smaller box
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Find the original height of the tree
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What is the percent
increase?
26) Arun bought a car at INR 25000 and spent INR 3000 on its repair and 500 on other
expenses
...
Find the gain or loss percent
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28) There are 90 calories in 20 gms of cheese
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How many
calories of cheese did Vijay intake?
29) Determine the simple interest payable on an investment of INR 100,000 at 12% p
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from April 20th to July 10th
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Draw the graph and
find the area of the remaining sheet
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5 m
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32) From a circular card sheet of radius 14 cm, two circles of radius 3
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Find the area of the remaining sheet
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Find the area of
the road
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Give the answer in
hectares
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Sunlight takes about 8 mins to reach the
earth
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i) Express in the standard form:
1) The mean distance between Earth and Moon is 384,000,000 m
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3) In galaxy, there are in an average 100,000,000,000 stars
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36) Find the median of first 10 prime numbers
...
If the mean of first 13 observation is 32 and last 13
is 39
...

38) A container has 5 black and 9 red balls
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Find the probability
of getting a red ball
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b) What type of probability have you found out?
c) How can you make P(H) and P(T) closer to ½ each

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