CREST Mental Maths Olympiad Class 9 Sample Paper

Q.1

The cost of an article including the sales tax is $616. The rate of sales tax is 10%, if the shopkeeper has made a profit of 12%, then find the cost price of the article.

Q.2

Find the next number in the sequence:
1, 1, 2, 3, 5, 8, 13, ?

Q.3

A shopkeeper marks his goods 20% above C.P. but allows a 30% discount for cash. What is his net loss?

Q.4

Walking 4/5 of his usual speed, a man is 16 minutes late. Find the usual time taken by him to cover that distance.

Q.5

An observer 1.5 m tall is 37.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45^o. What is the height of the chimney?

Q.6

How many tangents are there in all in this figure?

Q.7

A starts a business with $24,000 and later B joins him with $48,000. After how many months did B join if the profit is distributed in an equal ratio?

Q.8

Study the information carefully and answer the question given beside.
Out of 200 people who attended an office party 100 had Ice-cream, 120 had cold drink, 80 had cake and 10 had none of these three. 100 people had exactly one of three items.

How many people had exactly two of the three items?

Q.9

What is the decimal representation of 1/3?

Q.10

A starts a business with $4000 and B joins him after 3 months with $16000. Find the ratio of their profits at the end of year.