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Organisation : State Council of Educational Research and Training
Exam : SSLC Mathematics Model Paper
Document Type : Model Question Paper

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Download Sample Question Paper :  https://www.pdfquestion.in/uploads/7495-10thMathsQuestion.pdf

SSLC Mathematics Model Paper :

Section – I : 7* 1 = 7 marks
Note:
1. Answer all the questions. Each question carries 1 mark.
2. Choose the correct anwer from the four alternatives given for each question and write capital letters A, B, C or D in the brackets.

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1. The prime factorisation form of 156 ( )
A) 2 ´ 3´ 13 B) 22 ´ 32 ´ 13 C) 22 ´ 3 ´ 13 D) 2 ´ 32 ´ 13
2. The logarithemic form of 8x = 2 ( )
A) logx 8 = 2 B) log8 2 = x C) logx 2 = 8 D) log2 x = 8
3. The q/p form of the decimal 0.875
A) 23 /7 B) 16/ 7 C) 8/ 3 D) 22/7
4. Which of the following integers does 4 /3 lies between ( )
A) 0 and 1 B) 1 and 2 C) 3 and 4 D) -1 and 1
5. A = {x / x is a boy} B = {x / x is a girl} them ( )
A) AÈ B = f B) AÇ B ¹q C) A – B = A D) A- B = f
6. The zero of the polynomial 2x-3 ( )
A) 3 /2 B) 2/3 C) 3/- 2 D) 2/- 3

Section – II : 5 * 2 = 10 marks
Note:
1. Answer all the questions.
2. Each question carries 2 marks.
8. Write the following rationals as decimals without actual division
i) 25 /13
ii) 110/143
10. If A = {1, 2, 3}, B = {2, 3, 4, 5} find AÈ B and AÇ B
11. Write the following sets in roster form
(i) A = The set of natural numbers less than 7
(ii) B = {x : x is a letter in the word ‘School’}
12. Draw the graph of P(x) = x-2 and find where it interesects X-axis.

Section – III : 2 * 4 = 8 marks
Note:
1. Answer all the questions, choosing one from each question.
2. Each question carries 4 marks.
13. Prove that 2 is irrational by the method of contradiction
(or)
Prove that 3 – 2 5 is irrational.
14. Find the zeros of the quadratic polynomial x2+5x+6 and verify the relationship between the zeroes and coefficients.
Divide 3×3 + x2 + 2x+5 by 3x-1 and verify the result with division algorithm.

Group – A :
(Real numbers, sets, polynomials, Quadratic Equations)
1. Find H.C.F. and L.C.M. of 220 and 284 by Prime factorisation method.
2. Check whether A {x: x2 = 25 and 6x = 15} is an empty set or not? Justify your answer.
3. The sum of zeroes of a quadratic polynomial Kx2 –3x +1is 1, find the value of K.
4. Find two numbers where sum is 27 and product is 182

Group – B
(Lineor Equations in two variables, Progressions, Co-ordinate Geometry)
5. Formulate a pair of linear equations in two variables “3 pens and 4 books together cost
Rs.50 where as 5 pens and 3 books together cost Rs. 54”.
6. In a nursary, there are 17 rose plants in the first row, 14 in the second row, 11 in the
third row and so on. It there are 2 rose plants in the last two, find how many rows of
rose plants are there in the nursary.
7. Find the point on the X-axis which is equidistant from (2 – 5) and (– 2, 9).
8. Verify that the points (1, 5), (2, 3) and (– 2, – 1) are colinear are not?

Section – II : Marks: 4 * 1 = 4
Note:
1. Answer any four of the following six questions.
2. Each question carries 1 mark.
9. Determine the value of log3 243
10. Let A = {1, 3, 5, 7}, B = {1, 2, 3, 4, 6} find A – B and B – A.
11. Give any two examples of disjoint sets from your daily life.
12. Find the zeroes of the polynomial P(y) = y2–1.
13. Do the irrational numbers 2 , 8 , 18 , 32 …………. from an A.P.? If so, find common difference.
14. What do you mean by “slope” of a straight line?

Section – IV : (Polynomials, Linear Equations in two variables) Marks: 5 * 2 = 10
Note:
1. Answer any one question from the following.
2. This question carries 5 marks.
23. Draw the graph of P(x) = x2 – 6x + 9 and find zeroes. Verif the zeroes of the polynomial.
24. Solve the pair of linear equations graphically
2x – y = 5
3x + 2y = 11

Part – B :
I. Write the Capital letters of the correct answer in the brackets provided against
each question. 10´ ½ = 5 marks
1. One of the following is an irrational number. ( )
A) 3/2
B) 25/16
C) 8 D) 0.04
2. The product of zeroes of the cubic polynomial 2 x3–5 x2–14 x+8 is ( )
A) – 4 B) 4 C) –7 D) 2
3. A pair of Linear equations which satisfies dependent system ( )
A) 2x + y – 5 = 0 ; 3x – 2y – 4 = 0
B) 3x + 4y = 2 ; 6x + 8y = 4
C) x + 2y = 3 ; 2x + 4y = 5
D) x + 2y – 30 = 0 ; 3x + 6y + 60 = 0
4. The n term of G.P. is an = arn-1 where ‘r’ represents ( )
A) Firs terms B) Common difference C) Common ratio D) Radius