Organisation : Dream Scholars League – DSL
Exam : Mathematics Scholarship Exam
Document Type : Sample Question Paper
Year : 2015
Category I: Class IX
Website : dreamscholarsleague.com
Download Model Question Paper Class IX : https://www.pdfquestion.in/uploads/9123-Class-IX.pdf
Mathematics Scholarship Exam Class IX Sample Question Paper :
General Instructions :
1. There are 60 questions. All questions are compulsory.
2. Shade the right answer in the OMR sheet provided A) B) C) D)
3. Time allotted is 60 minutes. Total Marks = 60 Marks
Related : DSL Mathematics Scholarship Exam Class VIII Sample Question Paper : www.pdfquestion.in/9118.html
Q.1) If the sides of a triangle are 150 cm, 120 cm and 200 cm, then its area is ____ cm2.
Q.2) If two sides of triangle are 8 cm and 11 cm and its perimeter is 64 cm, then its area is ____cm2.
Q.3) If two sides of a triangle are and the perimeter is 42 cm, then its area is ____cm2.
Q.4) If (x/y)x-5=(x/y)x-3then _____.
Q.5) In the third quadrant, the nature of the x and y coordinates is ____.
A) x > 0 and y > 0
B) x < 0 and y < 0
C) x < 0 and y > 0
D) x > 0 and y < 0
Q.6) In a right triangle ABC, right angled at B, M is the midpoint of the hypotenuse AC. If the length of the hypotenuse is 12 cm, then the length of BM is ____.
A) 6 cm
B) 12 cm
C) 4 cm
D) 3 cm
Q.7) ABCD is a trapezium in which AB is parallel to CD. BD is a diagonal and E is the midpoint of AD. A line parallel to AB is drawn through E intersecting BC at F. If BC is 6 cm, then the length of BF is ____.
A) 6 cm
B) 2 cm
C) 3 cm
D) 9 cm
Q.8) If the area of an equilateral triangle 36 is then the perimeter is ____.
A) 36 cm
B) 37 cm
C) 37.2 cm
D) 36.2 cm
Q.9) If a point Q lies between two points P and R such that PQ = QR, then PQ = ____.
Q.10) If the height of an equilateral triangle is 8 cm, then its area is ____.
A) 42.8 cm2
B) 36.9 cm2
C) 92.2 cm2
D) 34.8 cm2
Q.11) If a cuboid of dimensions 20 cm, 10 cm and 5 cm is melted and cast into a cube, then the length of the edge of the cube so formed will be ____.
A) 5 cm
B) 10 cm
C) 15 cm
D) 25 cm
Q.12) Which of the following graphs represents the line x – 2y = 3?
Q.13) The measure of an angle is 24o less than its complement, then the angle is ____.
A) 66o
B) 156o
C) 33o
D) 78o
Q.14) In the figure below, ?AOC and ?BOC form a linear pair. If x = 75o, then the value of y is
A) 105o
B) 115o
C) 90o
D) 60o
Q.15) Following table shows the marks scored by a group of 90 students in a mathematics test of 100 marks.
Q.16) The below are the temperature details that were recorded in Alaska in 11 days: -21oC, 0oC, 2oC, -15oC, 0oC, 5oC, -18oC, 7oC, 0oC, -32oC and 21oC. The mode temperature of the data is ____.
A) 2oC
B) 21oC
C) -18oC
D) 0oC
Q.17) The diameter of base and the height of a conical house are 14 m and 18 m respectively and the capacity of a rice bag is The number of such rice bags required to fill the conical house is ____.
A) 14
B) 24
C) 28
D) 25
Q.18) A pineapple is priced at cost Rs 7 and a watermelon cost Rs 5. Stella spends Rs 40 on these fruits. The linear equation which satisfies the given data is ____.
A) 7x + y = 40
B) x + 5y = 40
C) 7x – 5y = 40
D) 7x + 5y = 40
Q.19) An angle is 14o more than its complement, then the angle is ____.
A) 62o
B) 72o
C) 52o
D) 42o
Q.20) In the figure below, AB is a line segment and P is its midpoint, D and E are points on the same side of AB such that ?BAD = ?ABE and ?EPA = ?DPB. If AD = 4.7 cm, then BE = ____.
A) 4 cm
B) 7 cm
C) 4.7 cm
D) 2.7 cm
Q.21) A coin is tossed 1000 times with the following frequencies : Head : 455 and Tail : 545 Then the probability of getting a head is ____.
A) 0.455
B) 0.055
C) 0.545
D) 0.0455
Q.22) The marks scored by 20 students is 2, 50, 4, 50, 6, 20, 50, 13, 15, 60, 50, 69, 43, 12, 50, 39, 65, 50, 13, 40 The frequency of 50 in the above data is ____.
A) 3
B) 4
C) 6
D) 1
Q.23) The ratio of the slant heights of two cones is 5 : 4. If the radius and curved surface area of the first cone are 7 cm and 4070 respectively, then the curved surface area of the second cone whose radius is 14 cm is ____.
A) 6512
B) 6412
C) 6262
D) 3451
Q.24) If both the abscissa and ordinate of a point are negatives, then the point lies in the ____ quadrant.
A) first
B) second
C) third
D) fourth
Q.25) A man’s age is three times the sum of the ages of his two sons, one of whom is twice as old as the other. In 4 years the sum of the son’s age will be half of their father’s age. The age of younger son, elder son and father are ____.
A) 5 years, 10 years and 45 years
B) 4 years, 8 years and 36 years
C) 3 years, 6 years and 27 years
D) 6 years, 12 years and 54 years