**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 |
If we plot points (0,3), (2,0), (0,-3) and (0,-2) and join them with straight lines, what figure do we obtain? |
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Q.2 |
A person invested a certain amount at simple interest at the rate of 6 percent annum earning Rs. 900 as an interest at the end of three years. Had the interest be compounded every year. How much more interest would he have earned on the same amount with the same interest after three years? |
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Q.3 |
Find the next number in the series 141,137,146,130,155,119, ? |
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Q.4 |
The sum of first 45 natural numbers is: |
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Q.5 |
A cupboard has 20 clothes worth $100. It consists of shirts worth $3 each and pants worth $11 marks each. How many pants will be there in the cupboard? |
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Q.6 |
Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes? |
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Q.7 |
What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22? |
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Q.8 |
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder? |
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Q.9 |
12 pumps of one type pump 30 litres of water when each is running for 18 hours per day. But a set of 16 pumps of other type pump 40 litres of water when each is running for 24 hours per day. How efficient are former type of pumps than latter type? |
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Q.10 |
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8cm high. What is the difference in their total surface area? |
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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 : a | Q.3 : b | Q.4 : a | Q.5 : c | Q.6 : a | Q.7 : c | Q.8 : b | Q.9 : c | Q.10 : d