Q.1 |
If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k. |
a) | 9/8 |
b) | 9/4 |
c) | 9/5 |
d) | 9/3 |
Q.2 |
Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. |
a) | B |
b) | D |
c) | C |
d) | A |
Q.3 |
Fill in the blank: The value of Polynomial P(x) =2x3 + 6x2 + 5x - 3 at x = -1 is _____. |
a) |
-1 |
b) | -2 |
c) | -3 |
d) | -4 |
Q.4 |
If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers? |
a) | 340 |
b) | 350 |
c) | 360 |
d) | 370 |
Q.5 |
If A, B, D are 3 points in a ground. A is to the West of B, B is to the North of D, and D is to the South-East of A, what angles does BAD make? |
a) | 180 |
b) | 125 |
c) | 90 |
d) | 45 |
Q.6 |
Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. |
a) | A |
b) | B |
c) | C |
d) | D |
Q.7 |
If f(x) = x² – 5x – 14, find the value of f(7). |
a) |
-1 |
b) | 1 |
c) | 0 |
d) | 3 |
Q.8 |
A sum of ₹ 24,000 is divided into two parts P1 and P2, such that the simple interest calculated on P1 for 3 year and on P2 for 4 years are equal. If the rates of interest on P1 and P2 are 4% and 5% respectively, then find the smaller of the parts P1 and P2. |
a) |
₹ 10,000 |
b) | ₹ 12,000 |
c) | ₹ 8000 |
d) | ₹ 9000 |
Q.9 |
Every number on the number line represents a ________ number which is either _________ or _________. |
a) |
Real, Rational, Irrational |
b) | Complex, Rational, Irrational |
c) | System, Rational, Irrational |
d) | None of these |
Q.10 |
A batsman played three matches in a tournament. The ratio of the score of 1st to 2nd match was 8: 9 and that of the score of 2nd to 3rd match was 3: 2. The difference between the 1st and the 3rd match was 16 runs. What was the batsman's average score in all three matches? |
a) |
40 |
b) | 58 |
c) | 45 1/5 |
d) | 61 1/3 |
Your Score: 0/10
Sample PDF of SilverZone - International Olympiad of Mathematics (IOM) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : b | Q.2 : a | Q.3 : d | Q.4 : a | Q.5 : d | Q.6 : d | Q.7 : c | Q.8 : d | Q.9 : a | Q.10 : d