IJSO (Indian Junior Science Olympiad) Mock Paper – Mathematics, Physics, Chemistry and Biology Part 1

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Mathematics

1. Which of the following is irrational?

A.

B.

C.

D.

2. Find the largest among the numbers and arrange them in ascending order

A.

B.

C.

D.

3. is equal to:

A.

B.

C.

D.

4. If and , then equals:

A.

B.

C.

D.

5. :

A.

B.

C.

D. 10

6. If , then the value of is:

A.

B.

C.

D.

7. What are the values of the digits a and b. respectively, in the number a5523879b, if it is divisible by both a and b is:

A.

B.

C.

D. Not unique

8. If and then is:

A. A rational no

B. Perfect number

C. An irrational no

D. Both (1) and (2)

9. The least number which when divided by 2,3, 4,5 and 6 leaves the remainder 1 in each case. If the same number is divided by 7, it leaves no remainder. The number is

A. 231

B. 301

C. 371

D. 441

10. Given that , using componendo and dividend find .

A.

B.

C.

D.

11. If and are three ratios, then find their compotuided ratio.

A. 1: 4

B. 2: 1

C. 1: 1

D. 1: 1

12. If N is the cube of a certain positive integer, which of the following is square of the next positive integer?

A.

B.

C.

D.

13. Find the sum … to 2009 terms.

A.

B. 2010

C.

D.

14. When the number is written as a fraction in its lowest terms, the denominator exceeds the numerator by:

A. 199

B. 291

C. 109

D. 219

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