CPS International Maths Wizard Olympiad Sample Question Paper : Competition Promotion Society

Name of the Organisation : Competition Promotion Society
Name of the Exam : CPS International Maths Wizard Olympiad
Class : STD I to X
Subject : Maths
Document Type : Sample Question Paper
Website : http://cpsolympiads.org/sample-question-paper/

CPS Maths Wizard Olympiad Question Paper

1. If A = 2n + 13, B = n + 7, where n is a natual number then HCF of A and B is
(A) 2
(B) 1

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(C) 3
(D) 4
(E) None of these

2. Find the least number that when divided by 16, 18 and 20 leaves a remainder 4 in each case, but is completely divisible by 7.
(A) 365
(B) 2884
(C) 2774
(D) 2974
(E) None of these

3. An AP of common multiples of 54 and 36 is
(A) 36, 90, 144, …
(B) 108, 216, 324, …
(C) 54, 108, 162, …
(D) none of these
(E) None of these

4. Graphically ax + by + c = 0 represents a line. Every solution of the equation is a point
(A) on the line representing it
(B) not on the line representing it
(C) on the x-axis
(D) on the y-axis
(E) None of these

5. The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference between the two digits of the number ?
(A) 9
(B) 6
(C) 12
(D) 3
(E) None of these

6. The positive value of k for which the equations x2 + kx + 64 = 0 and x2 ? 8x + k = 0 will both have real roots, is _________.
(A) 4
(B) 8
(C) 12
(D) 13
(E) None of these

7.If the origin is the mid-point of the line segment joined by the points (2, 3) and (x, y), then the value of (x, y) is
(A) (2, 3)
(B) (-2, 3)
(C) (-2, -3)
(D) (2, -3)
(E) None of these

8. The area of triangle whose sides are along the lines x = 0 and y = 0 and 4x + 5y = 20 is
(A) 20
(B) 10
(C) 1/10
(D) 1/20
(E) None of these

9. If the orthocentre and centroid of a triangle are (?3, 5) and (3, 3) respectively, then the circumcentre is
(A) (6, 2)
(B) (0, 8)
(C) (6, -2)
(D) (0, 4)
(E) None of these

10. The height of mountains is found out using the idea of indirect measurement which is based on the
(A) principal of congruent figures
(B) principal of similarity of figures
(C) principal of equality of figures
(D) All of these
(E) None of these

11. A line touches a circle of radius 4 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel then distance between them is
(A) 4 cm
(B) 6 cm
(C) 7 cm
(D) 8 cm
(E) None of these

12. The positive value of k for which the equations x2 + kx + 64 = 0 and x2 ? 8x + k = 0 will both have real roots, is _________.
(A) 4
(B) 8
(C) 12
(D) 13
(E) None of these

13. Let a1, a2, ….. and b1, b2, …….. be the arithmetic progressions such that a1 = 25, b1 = 75 and a100 + b100 = 100. The sum of the first one hundred terms of the progressions (a1 + b1), (a2 + b2), …. is _________.
(A) 0
(B) 100
(C) 10,000
(D) 5,05,000
(E) None of these

14. If p, q, r are three consecutive natural numbers, then what must be true for M if M = (q + r ? p) (p + r ? q) (p + q ? r) ?
(A) Positiive
(B) Negative
(C) Either positive or zero
(D) Zero
(E) None of these

15. If b1, b2, b3, ….. belongs to an A.P. such that b1 + b4 + b7 + …. + b28 = 220, then the value of b1 + b2 + b3 + ….. + b28 equals _________.
(A) 616
(B) 308
(C) 2,200
(D) 1,232
(E) None of these

Download Sample Question Paper
STD I : https://www.pdfquestion.in/uploads/8375Class-1.pdf
STD II : https://www.pdfquestion.in/uploads/8375Class-2.pdf
STD III : https://www.pdfquestion.in/uploads/8375Class-3.pdf
STD IV : https://www.pdfquestion.in/uploads/8375Class-4.pdf
STD V : https://www.pdfquestion.in/uploads/8375Class-5.pdf
STD VI : https://www.pdfquestion.in/uploads/8375Class-6.pdf
STD VII :  https://www.pdfquestion.in/uploads/8375Class-7.pdf
STD VIII : https://www.pdfquestion.in/uploads/8375Class-8.pdf
STD IX : https://www.pdfquestion.in/uploads/8375Class-9.pdf
STD X : https://www.pdfquestion.in/uploads/8375Class-10.pdf