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# ebalbharati.in Maths Class X Practice Question Paper 2019

Organisation : eBalbharati
Exam : Maths Practice Test
Document Type : Question Paper
Subject : Maths
Class : X Std
Website : http://ebalbharati.in/qbank/

## ebalbharati Maths Practice Question Paper

Balbharati is publishing practice question sets for the students appearing for the March 2020 Exam. Syllabus of Standard 10th has changed form Academic Year 2018-19. Accordingly the Textbooks for Standard 10th have changed.

Related : eBalbharati Geography Class X Practice Question Paper 2019 : www.pdfquestion.in/34128.html

## Practice Question Paper – 1

Time – 2 Hours
Total Marks – 40 Note :
1) All questions are compulsory.
2) Draw neat diagrams/graphs wherever necessary.
3) Amswers should be written in blue or black ink.
4) Use pencil. Don’t use color pencils.

Q. 1 (A) Solve any four of the following. 4
(1) Observe the adjacent Venn diagram and write the complement of A.
(2) Multiply : 212 × 3
(3) Find the geometric mean of 4 and 25.
(4) Find x if x + y = 5, and x – y = 7
(5) The estimated tax on the income of Shreemati Hinduja is Rs. 8000. How much education cess has she to pay at 3% ?
(6) Find the class-mark of 80-90.

Paper – I :
Paper – II :
Paper – III :

(B) Solve any two of the following. 4
(1) Factorise : m2 + 5x + 6.
(2) The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
(3) In ?PQRS, ? R = 60°. Find the ratio ? R : ? Q Q. 2
(A) Choose the correct alternative answer and write. 4
(1) For a simultaneous equation in x and y, if Dx = 25, Dy = 50 and D = 5, What is the value of x ?
(A) -5
(B) 1 5
(C) 10
(D) 5
(2) Which of the following is a quadratic equation ?
(A) 6×2 = 20 – x3 (B) x212x = 72
(C) 3x – 3 = 4×2 (D) 5x + 7 = 3x
(3) If in an A. P., d = 10, find t6 – t2.

(4) The rate of GST on stainless steel is 18%, of which the share of a state government is ……………
(A) 18%
(B) 9% (C) 36%
(B) Solve any two of the following. 4
(1) Two coins are tossed simultaneously. Find the probability of getting at least one head.
(2) If the roots of 2×2 – 6x + k = 0 are real and equal, find k.
(3) Solve the following simultaneous equations. 101x + 99y = 501, 99x + 101y = 499

Q. 3 (A) Solve any two of the following. 4
(1) The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.
(2) Complete the following activity to solve the simultaneous equations 3x + 2y = 6 and 2x + 4y = 12 by cramer’s method.

(3) The six faces of a die are marked The event M is getting a vowel on the upper face of the die when it is tossed. Complete the following activity and find the probability of the event.

(B) Solve any two of the following. 4
(1) The following table shows the percentages of vehicles passing a signal. Find out the measures of central angle to show the information by a pie diagram and hence draw the pie diagram.
(2) Mr. Mahajan purchased 100 shares, each of face value Rs. 100, when the market price was Rs. 45 per share, paying 2% brokerage. If the rate of GST on the brokerage is 18%, find the total amount he spent.
(3) There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats, and so on. How many chairs are there in the 21st row ?

Q 4. Solve any three of the following. 9
(1) Solve : 7y = -3y2 – 4
(2) In a game of chance, the spinning arrow rests at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probabilities of the following events.
(A) The arrow rests at an odd number.
(B) It rests at a prime number.
(C) It rests at a multiple of 2.

(3) Find out the sum of all natural numbers between 1 and 145 which are divisible by 4.
(4) The following frequency distribution table shows the number of mango trees in a grove and their yield of mangoes, and also the cumulative frequencies. Find the median of the data.

Q 5. Solve any three of the following. 4
(1) Six year before, the age of mother was equal to the square of her son’s age. Three year hence, her age will be thrice the age of her son then. Find the present ages of the mother and son.
(2) Draw a frequency polygon from the information given in the following table.

Q 6. Solve any one of the following. 3
(1) Draw the graph of x + y = 6 which intersects the X-axis and the Y-axis at A and B respectively. Find the length of seg AB. Also, find the area of ? AOB where point O is the origin.
(2) The market value of a mutual fund is 400 crore rupees. Which is divided into 8 crore units.

(a) Suppose you invest Rs. 10,000 in the units, how many units will you get ?
(b) While selling the units if their market value is increased by 10%, how much amount will you get by selling them ?

## Practice Question Paper – 2

Q 1. (A) Solve any four of the following. 4
(1) A = {1, 2, 3,4, 5}, B = {5, 6, 7} write AUB .
(2) Simplify 50
(3) Write a trinomial of degree 7.
(4) Convert 15 : 20 into percentage.
(5) If 3x + 5y = 9 and 5x + 3y = 7 find the value of x + y.
(6) Write the lower and the uppper class limit of 35 to 40
(B) Solve any two of the following. 4
(1) The yield of soyabean per acre in the farm of Mukund for 7 years was 10,7,5,3,9,6,9 quintal. Find the mean of yield per acre.
(2) Alka spends 90 % of the amount sent to her and saves Rs. 120 per month. Find the amount sent to her per month.
(3) If P(y) = y² – 2y + 5, find P(2) .

Q. 2 (A) Select the correct alternative answer and write it. 4
(1) If the roots of x² + kx + k = 0 are real and equal, what is the value of k?
(A) 0
(B) 4
(C) 0 or 4
(D) 2

(2) What is the sum of first 10 terms of the A. P. 15,10,5,……..?
(A) -75
(B) -125
(C) 75
(D) 125

(3) How many alpha numerals are there in the GSTIN of a registered dealer ?
(A)15
(B) 10
(C) 16
(D) 9

(4) What is the value of D if the equations x + y =3 ; 3x -2y =4 are solved by Cramer’s method.
(A)5
(B) 1
(C) -5
(D) -1

(B) Solve any two of the following. 4
(1) A card is drawn at random from a well shuffled pack of 52 playing cards.
Find the probability that the card drawn is a spade. (2) The age groups and the number of persons in the age groups, who donated blood in blood donation camp is given below. Find the measures of central angles to show the information by a pie diagram.

(3) The market price of share is Rs. 200 and the rate of brokerage is 0.3%. Find the cost of one such share.
Q. 3 (A) Carry out any two of the following activities. 4
(1) Complete the following table to draw the graph of the equation x – y = 1
(2) Fill up the boxes and find out the number of terms in the A.P. 1,3,5,….,149 .

(3) In a class of 42 students in Model High School, 3 students use spectacles. Fill in the following boxes to find the probability of a students selected at random is wearing sepctacles. The total number of students in the class is 42.

Q. 3 (B) Solve any two of the following. 4
(1) Solve : 5m² – 22m-15 = 0
(2) 3x – 4y = 10 , 4x + 3y = 5 find the values of Dx and Dy to solve the simultaneous equations by Cramer’s method
(3) The first term and the common difference of an A. P. is 10,000 and 2000 resectively. Find the sum of first 12 terms of the A.P.

Q. 4 Solve any three of the following. 9
(1) If a and ß are the roots of the quadratice equation x²- 2x – 7= 0, find the value a² + ß².
(2) How many of the three digit natural numbers are divisible by 5?
(3) The following table shows the investment made by some families. Show the information by a histogran.