Q.1 |
Identify the identical figures from the following options. |
a) |
(1,7,9), (2,5,6), (3,4,8) |
b) | (1,5,9), (2,6,7), (3,4,8) |
c) | (1,7,8), (2,5,6), (3,4,9) |
d) | (1,2,9), (5,6,7), 3,4,8 |
Q.2 |
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.3 |
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.4 |
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.5 |
If diameter of a cylinder is 5cm and volume of cylinder is 650 cm3 then height of cylinder is: |
a) |
40 cm |
b) | 25 cm |
c) | 33 cm |
d) | 45 cm |
Q.6 |
The number of children of 10 families of a locality is 2, 4, 3, 4, 2, 0, 3, 5, 1 and 1. What is the mean number of children per family? |
a) |
1.5 |
b) | 2 |
c) | 2.5 |
d) | 3 |
Q.7 |
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.8 |
If BAD is written as YZW and SAME as HZNV, then LOVE will be coded as: |
a) |
ROWN |
b) | OJUC |
c) | OLEV |
d) | NOPL |
Q.9 |
What is the length of the largest rod that can be put in a box of inner dimensions 30 cm, 24 cm and 18 cm? |
a) |
20 √2 cm |
b) | 50 cm |
c) | 60 cm |
d) | 30 √2 cm |
Q.10 |
Find the area of cardboard needed to make a rectangular box 14 cm long, 9 cm wide and 7 cm high. |
a) |
574 m² |
b) | 504 m² |
c) | 520 m² |
d) | 584 m² |
Your Score: 0/10
Sample PDF of Unified Council - Unified International Mathematics Olympiad (UIMO) PDF Sample Papers for Class 9:
If your web browser doesn't have a PDF Plugin, you can Click here to download the PDF
Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : c | Q.3 : d | Q.4 : d | Q.5 : c | Q.6 : c | Q.7 : a | Q.8 : c | Q.9 : d | Q.10 : a