**Section 1: **Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Constructions, Heron’s Formula, Surface Areas and Volumes, Statistics, Probability.

**Achievers Section: **Higher Order Thinking Questions - Syllabus as per Section 1

Q.1 | Q.2 | Q.3 | Q.4 | Q.5 | Q.6 | Q.7 | Q.8 | Q.9 | Q.10 |

Q.1 |
In the given figure, LM is parallel to QR. If LM divides the triangle PQR such that the area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to? |
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Q.2 |
A bag contains 24 eggs, out of which 8 are rotten. The remaining eggs are not rotten. Two eggs are selected at random. What is the probability that one of the eggs is rotten? |
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Q.3 |
A bag contains 5 red balls, 6 yellow balls, and 3 green balls. If two balls are picked at random, what is the probability that either both are red or both are green in colour? |
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Q.4 |
Two years ago, the ratio of A's age to B's age at that time was 5:9. A's age three years ago was 13 years less than B's age six years ago. What is B's present age? |
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Q.5 |
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______ |
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Q.6 |
ABCD is a parallelogram, E is the mid-point of AB and CE bisects angle BCD. The value of angle DEC is: |
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Q.7 |
The speed of Udit is 5 km/h more than that of Ali. Ali reaches his home from office 2 hour earlier than Udit. If Ali and Udit stay 12 km and 48 km from their respective offices, find the speed of Udit: |
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Q.8 |
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator, then find the fraction: |
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Q.9 |
The area of a rectangular field is 460 m |
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Q.10 |
The square root of 5 + 2√6 is: |
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**Sample PDF of CREST Mathematics Olympiad for Class 9:**

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Answers to Sample Questions from CREST Olympiads:

Q.1 : b | Q.2 : d | Q.3 : c | Q.4 : a | Q.5 : d | Q.6 : b | Q.7 : d | Q.8 : a | Q.9 : d | Q.10 : d