SOF - IMO PDF Sample Papers for Class 10

Q.1

The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member. The difference between the ages of old and new member is:

Q.2

If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d.

Q.3

A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole?

Q.4

Every number on the number line represents a ________ number which is either _________ or _________.

Q.5

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.

Q.6

Find x, y and z in the following figure:

Q.7

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?

Q.8

The value of an old bike decreases every year at the rate of 4% over that of the previous year. If its value at the end of years is ₹ 13824, then find its present value.

Q.9

In a class of 15 students, on an average, each student got 12 books. If exactly two students received same number of books, and the average of books received by remaining students be an integer, then which of the following could be the number of received same number of books?

Q.10

Identify the similar pair of words as given below:

Stone: Sculpture::