Q.1 |
If a cuboids is 3.2 cm high, 8.9 cm long and 4.7 cm wide then total surface area is: |
a) |
160.7 cm² |
b) | 180.0 cm² |
c) | 205.7 cm² |
d) | 170.7 cm² |
Q.2 |
Find x in the following figure: |
a) | 142⁰ |
b) | 60⁰ |
c) | 120⁰ |
d) | 125⁰ |
Q.3 |
It takes Riaz 30 minutes to mark a paper. Razi only need 25 minutes to mark a paper. If they both start marking paper at 11:00 AM, What is the first time they will finish marking a paper at the same time? |
a) | 12:30 |
b) | 12:45 |
c) | 1:30 |
d) | 12:25 |
Q.4 |
Find the mean of first five odd natural numbers. |
a) | 3 |
b) | 5 |
c) | 7 |
d) | 9 |
Q.5 |
Find the equation of the straight line joining the points of intersection of 2x + y = 4 with x - y + 1 = 0 and 2x - y - 1 = 0 with x + y - 8 = 0. |
a) | x + 2y = 3 |
b) | x + 2y + 3 = 0 |
c) | x - 2y + 3 = 0 |
d) | 3x - 2y + 1 = 0 |
Q.6 |
If from the well shuffled pack of cards all the aces are removed, find the probability of getting red card. |
a) | 1 |
b) | 0.5 |
c) | 1.5 |
d) | 2 |
Q.7 |
If α and β are the roots of the quadratic equation 2x2 + 6x + k = 0, where k < 0, then what is the maximum value of α/β + β/α? |
a) |
2 |
b) | -2 |
c) | 9 |
d) | -9 |
Q.8 |
Total surface area of cylinder is 151 cm². If its radius is 4 cm, find its height. |
a) |
1 cm |
b) | 2 cm |
c) | 3 cm |
d) | 4 cm |
Q.9 |
From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of 20 m high building are 45⁰ and 60⁰ respectively. Find the height of the tower? |
a) |
20√3 m |
b) | 60 m |
c) | 20(√3 -1 ) m |
d) | 40√3 m |
Q.10 |
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 |
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Sample PDF of Unified Council - Unified International Mathematics Olympiad (UIMO) PDF Sample Papers for Class 9:
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : c | Q.3 : c | Q.4 : b | Q.5 : d | Q.6 : b | Q.7 : d | Q.8 : b | Q.9 : c | Q.10 : c