Q.1 |
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.2 |
Look at the image given below and find BP. ![]() |
a) |
4 √10 cm |
b) | 5√10 cm |
c) | 6√10 cm |
d) | 7√10 cm |
Q.3 |
In a two digit number, the unit's digit exceeds the ten's digit by 2 and the product of the number and the sum of its digits is 144. Find the number. |
a) |
24 |
b) | 26 |
c) | 42 |
d) | 46 |
Q.4 |
Find the value of y if the points A(5, y), B(1, 5), C(2, 1) and D(6, 2) are the vertices of the square. |
a) |
5 |
b) | 3 |
c) | 6 |
d) | 4 |
Q.5 |
The length of tangents drawn from an external point to a circle are ______. |
a) | equal |
b) | unequal |
c) | always 3 times the other |
d) | always 9 times the other |
Q.6 |
The value of x such that AB = BC where A = (6, -1), B = (1, 3) and C = (x, 8) is: |
a) |
5 or 0 |
b) | 4 or -2 |
c) | 5 or -3 |
d) | None of the above |
Q.7 |
Find the distance of the intercept at the point of X-axis and the line 5x + 9y = 45 origin: |
a) |
5 units |
b) | 9 units |
c) | 5/9 units |
d) | 9/5 units |
Q.8 |
From the top of a light house 60⁰ metre high, with its base at the sea level, the angle of depression of a boat is 30⁰. The distance of the boat from the foot of the light-house is: |
a) |
60√3 metres |
b) | 60/√3 metres |
c) | 60 metres |
d) | 30√2 metres |
Q.9 |
If a circular metal sheet is 0.65 cm thick and of 50 cm in diameter is melted and recast into cylindrical bar with 8 cm diameter then length of bar will be: |
a) |
25.41 cm |
b) | 35.41 cm |
c) | 40.41 cm |
d) | 25.39 cm |
Q.10 |
Look at the image given below and find OP. ![]() |
a) |
5 cm |
b) | 6 cm |
c) | 7 cm |
d) | 4 cm |
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Sample PDF of Indian Talent Olympiad - International Maths Olympiad (IMO) PDF Sample Papers for Class 9:
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Answers to Sample Questions from Olympiad Success:
Q.1 : b | Q.2 : a | Q.3 : a | Q.4 : c | Q.5 : a | Q.6 : c | Q.7 : b | Q.8 : a | Q.9 : d | Q.10 : c