MSB algebra board question paper
Answers
(i) Find next two terms of an A.P.
4, 9, 14,.......
(ii) State whether the given equation is quadratic or not. Give reason
5m2+704
(iii) If Dx = 25, D = 5 are the values of the determinants for certain
equations in x and y, find x.
(iv) If S = {2, 4, 6, 8, 10, 12} and A = {4, 8 , 12}. Find A’.
(v) Write any one solution of equation x + 2y = 7.
(vi) If S5= 15 and S6
= 21 find t6
(i) Find ‘n’ if the nth term of the following A.P. is 64:
1, 4, 7 , 10, ......
(ii) If one of the roots of the quadratic equation x2
– 10x + k = 0 is 2, then
find the value of k.
(iii) A box contains 20 cards marked with the numbers 1 to 20. One card
is drawn at random, where the event A is such that the number on the
card is multiple of 3. Write S, n(s), A and n(A).
(iv) Find the value of x – y if 6x + 5y = 17, 5x + 6y = 13.
If the roots of quadratic equation are 5 and –6, form the quadratic equation.
(vi) For a certain frequency distribution mean is 72 and median is 78,
find the mode.
3. Attempt any three of the following sub questions: 9
(i) For an A.P., find S 9 if a = 4 and d = 2.
(ii) Solve the following quadratic equation by formula method:
3x2+ 2x = 1
(iii) Solve the following simultaneous equations by using Cramer’s rule:
4x + 3y = 4
3x + 5y = 8
(iv) A die is thrown, find the probability of the event of getting a square number.
(v) The marks obtained by a student in an examination out of 100 are
given below. The total marks obtained in various subjects are as follows:
Subject Marks
Marathi 80
English 80
Science 100
Mathematics 100
Total 360
Represent the above data using pie diagram.
(i) If α + β = 5 and α3
+ β3
= 35, find the quadratic equation whose roots
(ii) Two dice are thrown. Find the probability of getting:
(a) The sum of the numbers on their upper faces is at least 9.
(b) The sum of the numbers on their upper faces is 15.
(c) The number on the upper face of the second die is greater than
the number on the upper face of the first die.
are α and β.
(iii) Frequency distribution of daily commission received by 100 salesman
is given below :
Daily commission
(in Rs.)
No. of
Salesmen
100 – 120 20
120 – 140 45
140 – 160 22
160 – 180 09
180- 200 04
Find mean daily commission received by salesman, by assumed mean method.
5. Attempt any two of the following sub questions : 10
(i) A boat takes 10 hours to travel 30 km upstream and 44 km downstream,
but it takes 13 hours to travel 40 km upstream and 55 km downstream.
Find the speed of the boat in still water and the speed of the stream.
(ii) If the 9th
term of an A.P. is zero, then prove that 29th
term is double of 19th
term.
(iii) Draw histogram and frequency polygon on the same graph paper for
the following frequency distribution :
Class Frequency
15 – 20 20
20 – 25 30
25 – 30 50
30 – 35 40
35 – 40 25
40 – 45 25
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