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Class 10
Sample Questions
Syllabus & Sample Questions
Class 10
Syllabus
Real Numbers, Polynomials, Linear Equation in Two Variables, Quadratic Equation, Coordinate Geometry,
Binomial Theorem, Statistics, Trigonometry and Its Application, Circles, Triangles, Statistics and Probability,
Mensuration, Mathematical Reasoning, Logical Reasoning, Applied Mathematics.
1.


(A) 27.71 sq unit
(C) 26.58 sq unit
(E) None of these
2.


(B) 24.36 sq unit
(D) 18.36 sq unit

In a PQR each side is divided into three equal parts as shown in the figure given below. Find the ratio
of area of the triangle to the regular hexagon STUVWX so formed by joining the sides of the triangle.
(A) 2 : 3
(C) 3 : 2
(E) None of these
3.

In a quadrilateral ABCD, the diagonal AC and BD intersect each other at the point O. The area of AOB =
32 square unit and area of COD = 24 square unit. If the area of AOD and BOC are equal then find
the area of the AOD.
(B) 1 : 4
(D) 4 : 1
 PQR is an acute angled triangled and PM is perpendicular to QR. If QR = 9cm, PQ= 8cm and PR = 10 cm,
then find the length of MR–MQ.
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Erudite Olympiad Foundation
IIOM'12
(A) 4 cm
(C) 12 cm
(E) None of these
4.
(B) 8 cm
(D) 16 cm
The following bar graph shows the marks scored by the different number of students in a quiz competition.
Find the total number of students scoring 7 and 10 marks exactly.
(A) 100
(C) 350
(E) None of these
5.
(B) 250
(D) 400
A locker has a lock code of four digits which consists of nine and zero only. A bank manager give four bags
to a customer which consists of ten coins each numbered from zero to nine and asks him to draw four
coins one from each bag. If his coin number matches with the code he can open the locker and take away
the money in it. The probability that customer wins the money in the locker is:
(A)
1
625
(B)
2
625
(C)
8
625
(D)
18
625
(E) None of these
6.
What type of solution does the system of linear equation shown in the following figure has?
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Class 10
Sample Questions
(A) No solution
(C) Infinitely many Solution
(E) None of these
(B) Unique solution
(D) All of these
7.
If the volume of an ice cube is equal to the total surface area of the ice cube then find the sides of the ice
cube.
(A) 4 unit
(B) 6 unit
(C) 8 unit
(D) 10 unit
(E) None of these
8.
In PQR as shown below, PW = PV, QW = QU and RU = RV. Also V = 75° and U = 65°. Find the measure of P in
the figure.
(A) 55°
(B) 45°
(C) 50°
(D) 70°
(E) None of these
9.
A leather industry announces a bonus of Rs.6,500 for its workers. If there would have been 15 more
workers in the industry each would have got Rs.30 less than what they have got right now. Find the
number of workers in the industry.
(A) 45
(B) 50
(C) 54
(D) 58
(E) None of these
10. The toys are arranged on the self in a shop in an AP in a well defined manner in the order of one, two,
three, —. If the 21 toys is 43 in number then find the sum of its first 41 number of toys on the self.
(A) 1245
(B) 1150
(C) 1454
(D) 1763
(E) None of these
Answer
1. (A)
6. (A)
2. (C)
7. (B)
3.
8.
(A)
(C)
4.
9.
(C)
(B)
5. (A)
10. (D)
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