Unified Council - UIMO PDF Sample Papers for Class 10
Class 10 sample paper & practice questions for Unified International Mathematics Olympiad (UIMO) level 1 are given below. Syllabus for level 1 is also mentioned for these exams. You can refer these sample paper & quiz for preparing for the UIMO exam.
Q.1 |
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.2 |
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.3 |
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.4 |
Find the perimeter of ΔPQR.  |
| a) |
16 cm |
| b) | 26 cm |
| c) | 28 cm |
| d) | 65 cm |
Q.5 |
At Bilal’s Discount Hardware everything is sold for 30% less than the market price. If Bilal’s buys tool bits for Rs. 96, what price should he marked them if he wants to make a 20% profit on his cost? |
| a) |
117 |
| b) | 127 |
| c) | 146 |
| d) | 164 |
Q.6 |
Which prime numbers will be repeatedly multiplied in prime factorization of 3200? |
| a) |
2 and 5 |
| b) | 4 and 2 |
| c) | 2 and 6 |
| d) | 5 and 8 |
Q.7 |
6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are: |
| a) |
Intersecting at exactly one point |
| b) | Intersecting at exactly two points |
| c) | Coincident |
| d) | Parallel |
Q.8 |
The median of the triangle ABC meets at point G, which of these is not true? |
| a) |
Area of triangle AGC = Area of triangle BGC |
| b) | Area of triangle AGC = Area of triangle AGB |
| c) | Area of triangle AGC = (1/3) Area of triangle ABC |
| d) | None of these |
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 |
Look at the image given below and find the value of ∠BTQ.  |
| a) |
30⁰ |
| b) | 45⁰ |
| c) | 75⁰ |
| d) | 90⁰ |
Your Score: 0/10
Sample PDF of Unified Council - Unified International Mathematics Olympiad (UIMO) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : d | Q.3 : b | Q.4 : c | Q.5 : d | Q.6 : a | Q.7 : d | Q.8 : d | Q.9 : a | Q.10 : c
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