Find mean of the following table.
Difference in ages(in years) | No. of couples (𝑓𝑖) |
0 – 2 | 1 |
2 – 4 | 2 |
4– 6 | 8 |
6 – 8 | 5 |
8 – 10 | 3 |
10 – 12 | 1 |
Question types
Question Bank - P1 question types
265 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
265
Questions
7
Question groups
5
Question types
01
2 Marks Questions
44 Q→02Complete the following activities and rewrite it ( 3 marks)
3 Q→033 Marks Question
67 Q→044 Marks Questions
33 Q→051 Marks Question
34 Q→06Solve the following sub questions( 3 Marks ):
31 Q→07Select The Correct Option (MCQ)
53 Q→Sample Questions
Question Bank - P1 questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
View full solution →
Find the mode for the following frequency distribution.
View full solution →Class | 1 – 10 | 11 – 20 | 21 – 30 | 31 – 40 | 41 – 50 |
Frequency | 2 | 3 | 5 | 7 | 1 |
Use formula: Mode =𝐿 =$\frac{f_0-f_1}{2 f_0-f_1-f_2} \times h$
For the table given below find cumulative frequency table.
If the mean of the frequency distribution is 8.1 and ∑𝑓𝑖𝑥𝑖 = 132 + 5k, ∑ 𝑓𝑖= 20 then find K.
The table given below gives the marks of 160 students In the school.
Marks | 20 - 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 | 80 -90 | 90-100 |
No. of students | 8 | 10 | 15 | 25 | 30 | 38 | 24 | 10 |
How many students are getting above 80 marks.
The sum of the two-digit number and the number obtained by interchanging the digits is 132. The digit in the ten’s place is 2 more than the digit in the unit’s place. Complete the activity to find the original number.
Activity: Let the digit in the unit’s place is y and the digit in the ten’s place is 𝑥.
∴ The number = 10 𝑥 + y
∴ The number obtained by interchanging the digits =_______
∴ The sum of the number and the number obtained by interchanging the digits = 132
∴ 10 𝑥 + 𝑦 + 10 𝑦 + 𝑥 =_____
∴ x + y =______(i)
, By second condition,
Digit in the ten’s place = digit in the unit’s place + 2
∴ x - y = 2 (ii)
Solving equation (i) and (ii)
∴ x =____ y =____
Activity: Let the digit in the unit’s place is y and the digit in the ten’s place is 𝑥.
∴ The number = 10 𝑥 + y
∴ The number obtained by interchanging the digits =_______
∴ The sum of the number and the number obtained by interchanging the digits = 132
∴ 10 𝑥 + 𝑦 + 10 𝑦 + 𝑥 =_____
∴ x + y =______(i)
, By second condition,
Digit in the ten’s place = digit in the unit’s place + 2
∴ x - y = 2 (ii)
Solving equation (i) and (ii)
∴ x =____ y =____
Complete the following table to draw the graph of 3 𝑥 − 2 𝑦 = 18
X | 0 | 4 | 2 | -1 |
Y | -9 | ------ | ------- | ------ |
x, y | (0,-9) | (--,--) | (--,--) | ------ |
Draw frequency polygon of the following distribution
Weight of packet | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 |
Number of packets | 3 | 5 | 8 | 5 | 4 |
In a school the weekly pocket money of 50 students is as follows. Find mode of pocket money.
Pocket money (in ₹) | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 | 80 – 90 | 90 – 100 |
No. of students | 2 | 8 | 12 | 14 | 8 | 6 |
Draw the histogram.
Wages (in ₹) | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 | 80 – 90 |
No. of workers | 3 | 8 | 12 | 6 | 4 |
The table below gives the ages of 120 drivers of cars involved in accidents during a certain year. Complete the table and draw a pie diagram.
Age of driver (in years) | Number of drivers | Central angle |
Under 20 | 25 | 75° |
20 – 40 | 50 | _____ |
40 – 60 | 35 | 105° |
Over 60 | 10 | 30° |
Complete the following activity to find median marks of the students
Draw histogram and frequency polygon.
Calculate the missing frequency from the following distribution, if the median of distribution is 24.
Age in years | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
No. of persons | 5 | 25 |
| 18 | 7 |
Find the mode for the following distribution.
Ages (in years) | 1 – 10 | 11 – 20 | 21 – 30 | 31 – 40 | 41 – 50 |
No. of children | 2 | 3 | 5 | 7 | 1 |
If the mean of the weight of packet is 12.9 gm. Find the value of b
Weight of packet | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 |
Number of packets | 3 | b | 8 | 5 | 4 |
Find the mean by step deviation method.
Class | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |
Frequency | 5 | 6 | 8 | 12 | 6 | 3 |
write the event in the set form for the following random experiment. ‘ If one die is thrown, the number obtained on the upper face is even.’
A two digit number is formed with digits 2, 3, 5 without repetition, Write the sample space?
In a set of 25 cards, each card bears only one number from 1 to 25. One card is drawn randomly. Write the sample space for this random experiment?
Write a sample space when a die is thrown.
Write a sample space if two coins are tossed simultaneously.
Observe the frequency polygon given alongside
Prepare frequency table and find mean of the net asset value.
Prepare frequency table and find mean of the net asset value.
120 students of standard 10 were asked which game they
like and from this information pie chart is prepared, observe
the pie diagram and answer the questions.
a) How many students like to play Tennis?
b) What will be central angle for Kho-Kho?
c) How many students like Kabaddi?
like and from this information pie chart is prepared, observe
the pie diagram and answer the questions.
a) How many students like to play Tennis?
b) What will be central angle for Kho-Kho?
c) How many students like Kabaddi?
The angles of a triangle ABC are in the ratio 1:2:3, show this information in pie diagram.
A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets,
(i) a red balloon
(ii) a blue balloon.
(i) a red balloon
(ii) a blue balloon.
If One coin and one die are thrown simultaneously, find the probability of the following events.
i) Event A : To get a tail and an even number.
ii) Event B: To get head and an odd number.
i) Event A : To get a tail and an even number.
ii) Event B: To get head and an odd number.
Class marks in a grouped frequency table are useful to find . . .
- AMean
- ✓Median
- CMode
- DAll of these
Answer: B.
View full solution →Look at the pie diagram showing number of skilled workers in different fields the number of workers in the production is ---------- if total number of workers is 10,000
- ✓2000
- B1500
- C2500
- D3500
Answer: A.
View full solution →A box contains nails of different lengths as shown below, the median class will be -----
| Length ( in cm) | 2.0 – 2.5 | 2.5 – 3.0 | 3.0 – 3.5 | 3.5 – 4.0 | 4.0 – 4.5 |
| No. of nails | 5 | 18 | 7 | 11 | 9 |
- ✓2.5 – 3.0
- B3.0 – 3.5
- C3.5 – 4.0
- D4.0 – 4.5
Answer: A.
View full solution →If the mean of frequency distribution is 34.9, ∑ ???? = 1000 + a, ∑ ?? = 30 then the value of a = ------
- ✓47
- B48
- C42
- D45
Answer: A.
View full solution →Which of the following is not a measure of central tendency?
- AMedian
- ✓Standard deviation
- CMode
- DMean
Answer: B.
View full solution →Generate a Question Bank - P1 paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.