SOF - IMO PDF Sample Papers for Class 10

Q.1

The following question is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 

What should come in place of ?
Z, T, ?, H, B

Q.2

Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

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

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.5

Fill in the blank:

The value of Polynomial P(x) =2x³ + 6x² + 5x - 3 at x = -1 is _____.

Q.6

A batsman played three matches in a tournament. The ratio of the score of 1st to 2nd match was 8: 9 and that of the score of 2nd to 3rd match was 3: 2. The difference between the 1st and the 3rd match was 16 runs. What was the batsman's average score in all three matches?

Q.7

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.8

If x = sin²θ and y = cos²θ +1, then find the value of x + y.

Q.9

The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member.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.10

Look at the image given below and find the value of ∠BTQ.