Maths 4 Marks Questions

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

A box contains 36 cards, bearing only one number from 1 to 36 on each. If one card is
drawn at random, find the probability of an event that the card drawn bears,
(i) a complete square number.
(ii) a prime number.
(iii)a number divisible by 3.

What is the probability that a leap year has 53 Sundays?

What is the probability that an ordinary year has 53 Sundays?

M/s Atharv traders sold a computer printer to Shraddha Electronics for taxable price of Rs. 10,000. Shraddha Electronics sold it to Mr.Omkarnath at Rs.12,500 taxable price and retailer sold it to customer at Rs.14,500 taxable price. The rate of GST is 18%, then find the CGST and SGST applicable at every transaction.

Mr. Purushottam invested Rs. 1,20,354 in shares of face value Rs. 100 each at Rs.120 market value. He gave brokerage of 0.25% and GST of 18% on brokerage then how many shares are purchased by him?

Mr.Jitendra invested an equal amount in two companies by purchasing equity shares with market price Rs. 160 and Rs.175 each. At the end of the year, both the companies declared the dividend of 15% and 20% each. In which company was her investment profitable?

M/S Sing Trader purchased refrigerator for Rs.10,000 taxable amount. They sold it to Amrutbhai for Rs. 12,000 taxable amount. The rate of GST is 28%, then find the CGST and SGST to be paid by M/S Sing Trader

If Rs.3900 will have to repay In 12 monthly instalments such that each instalment being more than the preceding one by Rs.10, then find the amount of the first and last instalment.

A merchant borrows Rs.1000 and agrees to repay its interest Rs.140 with principal in 12 monthly instalments. Each instalment being less than the preceding one by Rs.10. Find the amount of the first first instalment.

Shubhankar invested in a national savings certificate scheme. In the first year he invested Rs.500, in the second year Rs.700, in the third year Rs.900 and so on. Find the total amount that he invested in 12 years.

Find the sum of odd natural numbers from 1 to 101.

In a ‘Mahila Bachat Gat’, Sharvari invested Rs.2 on first day, Rs.4 on second day and Rs.6 on third day. If She saves like this, then what would be her total savings in the month of February 2010?

Find the sum of numbers between 1 to 140, divisible by 4.

Sum of first 55 terms of an A.P. is 3300. Then find its 28th term.

Sum of the roots of the quadratic equation is 5 and sum of their cubes is 35 then find the quadratic equation.

In an orchard there are total 200 trees. If the number of trees in each column is more by 10 than the number of trees in each row then find the number of trees in each row.

Present age of mother of Manish is 1 year more than 5 times the present age of Manish. Four years before If the product of their ages was 22 then find the present age of Manish and his mother

The semi perimeter of a rectangular shape garden is 36 m. The length of the garden is 4 m more than its breadth. Find the length and the breadth of the garden.

Solve, 0.4 𝑥 + 0.3 𝑦 = 1.7; 0.7 𝑥 − 0.2 𝑦 = 0.8

A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And ,if the train was slower by 6 km/h it would have taken 6 hours more than the scheduled time. Find the length of the journey.

For an A.P, t 17 = 54 and t 9 = 30 find the first term(a) and common difference(d).

Solve the following equations by graphical method, 𝑥 − 𝑦 = 1; 2 𝑥 + 𝑦 = 8