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Published on: 31/10/2025
Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test

1.
Your friend found the median and the mode of a given data. Describe and correct your friends' error, if any: 35, 32, 35, 42, 38, 32, 34 Median = 42 and Mode = 32
2.
Following table shows the points of each player scored in four games
| Players | Game | Game | Game | Game |
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| A | 14 | 16 | 10 | 10 |
| B | 0 | 8 | 6 | 4 |
| C | 8 | 11 | Did not play | 13 |
To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?
3.
How would you find the average of your study hours for the whole week?
4.
The median of the following observations arranged in ascending order is 24. Find the value of x. 11,12,14,18,(x+2),(x+4),30,32,35,41
5.
The heights of 10 girls were measured (in cm) and the results are as follows: 135, 150,139, 128, 151, 132, 146, 149, 143, 141 - What is the height of the tallest girl?
6.
Find the range of heights of any ten students of your class.
7.
If a die is thrown, then the probability of getting a number greater than 6 is 1
8.
When a coin is tossed, there are 2 possible outcomes.
9.
The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9
10.
The mode is always one of the numbers in a data
11.
Think of some situations, at least 3 examples of each, that are certain to happen, some that are impossible and some that may or may not happen i.e. situations that have some chance of happening.
12.
A bag is having 4 red balls and 6 yellow balls. If a ball is pulled out without seeing them, then find the probability of getting a red ball.
\(\frac { 2 }{ 5 } \)
\(\frac { 3 }{ 5 } \)
\(\frac { 9 }{ 12 } \)
\(\frac { 2 }{ 3 } \)
13.
The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be the heighest possible number of remaining two numbers?
81
40
100
71
14.
The mode of the data 22,29, 27, 23, 43, 41, 27 is
23 and 27
27
23 and 43
22
15.
When a die is thrown, the probability of getting a number less than 7 is _____
16.
The mode of the following data 62,61,49,37, 91,61,47, 53, 54, 97, 98, 99 is
17.
The representation of data with bars of uniform width is called _____
1.
On arranging the data in ascending order, we get 32,32,34,35,35,38,42 Now, arrange the data in tabular form:
| Number | Tally Marks | occurring Time |
| 32 | II | 2 |
| 34 | I | 1 |
| 35 | II | 2 |
| 38 | I | 1 |
| 42 | I | 1 |
It is clear from the above table, that 32 and 35 occur two times
\(\therefore\) Mode = 32 and 35
In the ascending order, the middle value of data is 35
\(\therefore\) Median = 35
Hence, currect mode is 32 and 35 and median is 35
2.
To find the mean number of points per game for C, we divide the total points by 3, because C did not play 3rd game.
3.
We know that, there are seven days in a week. Let the study hours for different days of the week are as follows
| Days | Hours |
|---|---|
| Monday | 6 h |
| Tuesday | 5 h |
| Wednesday | 6 h |
| Thursday | 7 h |
| Friday | 6 h |
| Saturday | 5 h |
| Sunday | 7 h |
Total number of study hours = 6+5+6+7+6+5+7=42h
Number of days in a week = 7
\(\therefore\) \(Average=\frac { Total\ study\ hours }{ total\ number\ of\ days } =\frac { 42 }{ 7 } =6h\)
Hence, average study hours is 6 h per day
4.
x = 21
5.
On arranging the data in ascending order, we get 128,132,135,139,141,143,146,149,150,151
We can observe from the ascending order of heights that last term is maximum. Thus, height of the tallest girl = 151 cm
6.
Let the heights (in cm) of 10 students of your Class VII be
150,151,147,149,150,152,149,143,146 and 152.
Rearranging the heights in ascending order, we get
143,146,147,149,149,150,150,151,152,152
Now, range of the height of students
= Highest observation - Lowest observation
= 152 -143 = 9 cm
Hence, range of height of 10 students is 9 cm.
7.
(a)
8.
(b)
9.
(b)
10.
(a)
11.
(a) Possible situations to happen are as follows:
(i) On tossing a coin, getting either a head or a tail
(ii) On drawing one card from a pack of 52 cards one side will appear.
(iii) Getting a number from 1 to 6 by throwing a die.
(b) Impossible to happen are as follows:
(i) A girl in the boy's school.
(ii) Getting a number 8 by throwing a die.
(iii) A person of height 3 m.
(c) Mayor may not happen situations are as follows:
(i) To toss a coin and get tail.
(ii) Probably it may rain.
(iii) An ant rising to 4 m height
12.
(a)
\(\frac { 2 }{ 5 } \)
13.
(a)
81
14.
(b)
27
15.
We know that on a die, there are six faces with numbers from 1 to 6. Clearly, all the numbers are less than 7. Hence, whatever number appears on throwing a die, it will be less than 7. In other words, we can say that it is certain to get a number less than 7 on throwing a die. Hence, its probability is 1
16.
Mode = maximum occuring observation = 67 (occurs 2 times)
17.
The representation of data with bars of uniform width is called bar graph
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