Maths 3 Marks Question

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

The following table shows the funds collected by 50 students for flood affected people. Find the mean of the funds

A bag contains 8 red balls and some blue balls. If one ball is drawn randomly the probability of drawing a red ball to a blue ball are in the ratio 5 : 2, determine the probability of drawing a blue ball from the bag.

Three horses A ,B and C are in a race. A is twice as likely to win as B and B is twice as likely to win as C What is their individual probability of winning?

A missing helicopter is reported to have crashed somewhere in the rectangular region shown in the figure .What is the probability that it crashed inside the lake shown in the figure ?

The faces of a die bear numbers 0, 1, 2, 3, 4, 5. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.

A bag contains 5 white balls and some blue balls. If the probability of drawing a blue ball is double that of a white ball, determine the number of blue balls in the bag .

Prepare Business to consumer (B2C) tax invoice using given information. Write the name
of the supplier, address, state, date of invoice number, GSTIN etc. as per your choice.
Perform the following activities:
Supplier: M/s. ........................... Address: ......................................
State : ............... Date : ............. Invoice No.: .......................GSTIN: ...........................
Particulars : (i) Rate of mobile battery – Rs. 300, Rate of GST 12%, HSN 8507,
(ii) Rate of Headphone – Rs. 700, Rate of GST 18%, HSN 8518, 1.

Pushpmala has invested Rs.24000 and purchased shares FV Rs.20 at a premium of Rs.4 Find the number of shares she purchased. Complete the given activity.

Fill in the blanks given in the contract note of sale-purchase of shares. (B - buy S - sell)

No.of shares	M.V.of shares	Total Value	Brokerage 0.2%	18% GST on Brokerage	Total Value of shares
75 B	Rs.200
100S	Rs.45

From the information, prepare the tax invoice for business to customer. (B2C)Write
any name, address, date, etc.
Supplier: M/s .............. Address.............Date .........
Invoice No. ............................... GSTIN………..............
Name of products:
(i) Pickle bottle Rs.75, 1 piece, Rate of GST 12%, HSN1509
(ii) Tea powder pouch Rs. 60, 1 piece, Rate of GST 5% , HSN4807
(iii) Perfume bottle Rs.225, 1 piece, Rate of GST 18%, HSN8519

Form a quadratic equation such that one of its roots is 5. Form a quadratic equation for it and write. ( For the formation of word problem you can use quantities like age, rupees or natural numbers.) (sample solution for the above example is given below students can take another number to form another example)

For the equation 3 ? − 2 ? = 17 find the value of x when y = −1 and find the value of y when x = 3.

A person starts a job with some fixed salary and yearly increment. After 4 years his salary is Rs.15000 and after 10 years it becomes Rs.18000. Then find his monthly salary and increment.

The solution of the equation ? ? + b y + 5 = 0 and ? ? − ? ? − 12 = 0 is (2, -3) Find the values of a and b.

The graph of the equations 2 ? − ? − 4 = 0 and ? + ? + 1 = 0 intersect each other in point P (a, b) then find the coordinates of P?

The length of the rectangle is 5 more than twice its breadth. The perimeter of a rectangle is 52 cm then find the length of the rectangle.

Solve: 99x + 101y = 499; 101x + 99y = 501

Solve: 4m – 2n = - 4; 4m + 3n =16

Difference between two numbers is 3, the sum of three times the bigger number and two times the smaller number is 19. Then find the numbers.

Solve by Cramer’s rule, 3x – 4y = 10; 4x + 3y = 5

Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years, what is the age of Ajay.

Solve the given simultaneous equations graphically ? + ? = 5 and ? = 5,

The angles of a triangle ABC are in the ratio 1:2:3, show this information in pie diagram.

Observe the frequency polygon given alongside
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? 

If two dice are rolled simultaneously, find the probability of the following events.
i) Event A : The sum of the digits on the upper faces is at least 10.
ii) Event B : The sum of the digits on the upper faces is 33.

If Three coins are tossed simultaneously, find the probability of the
following events.
i) Event A : To get no heads.
ii) Event B : To get at least two heads.

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. 

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. 

Mr. Trivedi invested Rs.45,000 in shares of face value Rs.100 at market value Rs.125. If the company declared 30% dividend at the end of the year, what was the income from dividend?

Mr. Hariram investment in shares is given below. Find his total investment in shares.
Company A: 200 shares, face value = Rs.100 Premium = Rs. 25
Company B: 500 shares, face value = Rs.100 Market Value = Rs. 200
Company C: 50 shares, face value =Rs 100 Discount =Rs.20 

If 50 shares of FV Rs.20 were purchased for MV of Rs.30. Company declared 30% dividend on the shares then find (i) Sum invested (ii) Dividend received (ii) Rate of return

Hamid purchased some educational stationary and paid GST of Rs.1800. He sold all educational stationary Nishaben and collected GST of Rs.2100. Find the GST CGST and SGST to be paid

A share of the value Rs. 100 was purchased for Rs.150. The company declared a dividend of 60%. What is the rate of return on investment?

What is the sum of an odd numbers between 1 to 50