This ” Sample Questions ” test is not to check the rote learning of concepts and application of simple procedures. This test would require the student to first understand the question properly and then they need to think and try out different possibilities to solve the question. The method is not important but the mindset to take on the challenge is. This test might cover much more than what the school syllabus/curriculum gives an exposure to. Please note that some problems would require more than one topic/concept to be applied as Math is not about just calculations but it is about well reasoned application of concepts and operations in a systematic and logical way. The focus here is on understanding, applying and problem solving and relating Math with the world around us and how we use it daily for small decisions. (sc : Global Olympiads Academy)

1. How many times does the digit \(4\) appear incounting numbers \(1\) to \(45\)?

Answer : \(11\)

2. Find the number of terms of the series below:

\(2, 5, 8, 11, ………… 38, 41, 44, 47\)

Answer : \(16\)

3. The Place value of Hundreds digit is \(240\) more than the Place value of Ten’s digit. The face value of One’s digit is \(2\) more than the face value to Ten’s digit. The \(3\)-digit number is:

Answer : \(368\)

4. Find the sum of 1st 23 Numbers in the below pattern

3 4 12 3 41 2 . . . . .

Answer : \(58\)

5. Mary has \(14\) more toys than Lisa who has \(17\) Toys. Altogether they have _____ toys.

Answer : \(48\)

6. Anita is 9th from the front in the line in her school library to collect a book. Samir is 12th from the back in the same line. If there are 15 students in the line, how many children are standing in between Anita and Samir.

Answer : \(4\)

7. Form two \(2\)-digit numbers using \(1,2,3,4\) without repeating anydigits and using all these digits once only.

What will be the minimum difference of such numbers?

Answer : \(7\)

8. In some year January has \(3\) Sundays on dates which are even numbers. Bob’s Birthday is on \(20^{th}\) January.

On which Day is Bob’s birthday?

Answer : \(Thursday\)

9. You have lots \(₹2, ₹5\) and \(₹10\) coins. You take this money to buy \(8\) pencils that cost \(6\) Rs each.

What is the minimum no. of coins would you use if you pay exactly the amount needed and use at least \(1\) of each coin?

Answer : \(9\)

10. Find the total number of possible different squares of all sizes in \(4\times 5\) grid of unit squares.

Answer : \(40\)

11. In a class kids were asked to vote for their favourite Ice-cream flavour. The results are below for the whole class.

If no. of students in the class were \(42\) and all voted. How many students like chocolate flavour?

Answer : \(15\)

12. You get bananas at \(40\) Rs a dozen (\(12\) bananas) and loose bananas \(5\) Rs each.

If you have \(90\) Rupees, at most how many bananas will you be able to buy?

Answer : \(26\)

13. Peter takes \(16\) minutes to saw a log into \(9\) smaller pieces.

How many pieces he could have cut the same log into if he takes \(32\) minutes if each cut (Sawing) takes the same time?

Answer : \(17\)

14. Teacher wishes to distribute all the candies she has equally to the students inher class. After giving \(3\) candies to each student, she is left with \(4\) candies and cannot distribute equally anymore.

At least how many candies did the teacher have in the beginning?

Answer : \(19\)

15. At a farm, there are \(4\) more ducks than the cows and the total number of duck’s and cow’s legs are \(50\).

How many ducks are there?

Answer :\(11\)

16. In a class, the number ofgirls is 3 times of the number of boys. If the difference of boys and girls is 10, how many students are there in the class.

Answer :\(20\)

17. Mahesh has 4 times the number of toys than his elder brother. If all together they have 50 toys, how many toys does Mahesh have?

Answer :\(40\)

18. Roy is 3 times the age of his younger brother Leo now. One year back, the difference between their ages was 6 years.

After how many years from now, Roy will be twice the age of Leo?

Answer : \(3\)

19. Bruce and Mike had a total of 30 story books and Bruce had 6 more than Mike. How many story books does Bruce have?

Answer : \(18\)

20. Singapore is 2 hours and 30 minutes ahead of India.Mr. Singh’s flight from India to Singapore takes off at 8:30am and lands after 5 and half hours. What is the time in Singapore when Mr. Singh lands?

Answer : \(4.30pm\)

21. It takes 10 cats to eat 10 mice in10 minutes.

How much time in minutes will it take for 50 cats to eat to 100 mice?

Answer : \(20\)

22. Ajay, Bipin, Chandan and Dhawal are sitting on bench.

If Ajay does not sit next to Bipin or Chandan, how many ways the 4 of them can be sitting? (Consider the bench as marked with Seat no. 1 to 4)

Answer :\(4\)

23. How many 2-digit even numbers can be formed using the digits: \(0,1,2,3,4,5\) without repeating the digits within each of those numbers?

Answer : \(13\)

24. Two sides of a triangle are 3 and 7.

How many different triangles can be formed with the perimeter (total length of the triangle’s boundary) as any natural number?

Answer : \(5\)

25. There are some flower pots kept along the boundary of as quare garden. If each side of the square has 10 flower pots and every corner of the square has 2 flower pots each, then how many flower pots are there altogether?

Answer : \(32\)