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. Amy gave $10 to Jack and $5 to Peter and now all of them have equal amount of money. How much more money in $ did Amy have than Jack in the beginning?
Answer : \(25\)
2. You get bananas at 40 rupees a dozen and loose bananas 4 rupees each. If you have 90 rupees, what is the maximum number of bananas will you be able to buy?
Answer : \(26\)
3. Joyce has 6 less stamps than her brother Mike and Mike has 4 more than their sister Betty. If altogether they have 68 stamps, how many stamps does Betty have?
Answer : \(22\)
4. 12 different Number cards with 1 to 12 are distributed equally among 6 kids. Each card has one distinct (different) number on it. If the sum of the numbers on the cards received by each kid is the same, then what is that sum?
Answer : \(13\)
5. Mr. Kumar could buy a maximum of 65 Bananas for exactly rupees 100. Bananas are sold in dozens and loose at different rates per banana. If each loose banana costs 2 rupees, how many more bananashe could have bought if he had spent 50 rupees more?
Answer : \(34\)
6. Betty’s house is 5 km away from Anna’s house on MG Road. Chris’s house is 7 Kms. from Betty’s house on the same road which is a straight road. What would be difference in Kms between the maximum and minimum possible distances of Anna’s and Chris’s houses?
Answer : \(10\)
7. If there are 20 lamp posts along a street at equal distance to each other and the distance between first and last one is 190m, what’s the distance between the 3rd and the 10th one in meters?
Answer : \(70\)
8. The sum of the father and the son’s age is 60 years. The father’s age was 3 times the son’s age 8 years ago.
Answer : \(19\)
9. Sam’s Birthday is on 5th March which is a Saturday. If his sister’s birthday is 52 days after his birthday, then on which day will be his sister’s Birthday?
Answer : \(Tuesday\)
10. There is equal no. of steps between two consecutive floors in a building of 10 floors. Sam stays on the 2nd floor and everyday he covers a total 72 steps while going up to his friend Andy’s home on 5th floor and coming back. How many steps are there in this building? (Assume 1st floor is the ground floor).
Answer : \(108\)
11. How many times 4 appears in the countingnumbers 1 to 500?
Answer : \(200\)
12. There are two 2-digit numbers. In each number, one of the digits is three times of the other and not necessarily in the same place value order. What would be the maximum difference between these 2-digit numbers?
Answer : \(80\)
13. Alicia, Betty and Chloe have 90 books altogether. If Betty borrows 3 books from Alicia and lends 5 books to Chloe, the three girls will have the same number of books in the end. How many more books did Alicia and Betty together had than Chloe in the beginning?
Answer : \(40\)
14. A basket contains some white, red and black balls.There are 15 white and red balls altogether. There are 18 red and black balls in total. The sum of number of black and white balls is 9. Find the number of Red balls.
Answer : \(12\)
15. 1 table and 3 identical chairs cost $120. The table costs 5 times as much as each chair. What will be the cost of 2 tables and 10 such chairs?
Answer : \(500\)
16. The places of birth of Cindy, Eleanor and Daisy are Indonesia, Thailand and Brunei but not necessarily in that order. Cindy has never been to Indonesia. Eleanor was not born in Thailand. Daisy has never been to Thailand or Brunei.
Where was Cindy Born?
Answer : \(Thailand\)
17. A chocolate cake was missing from the refrigerator. Mum suspected one of her children took the chocolate cake. There replies are given as:
Sean : I did not take the Chocolate cake.
Cindy : I didn’t even know you had bought a cake!
Jack : Sean took the Chocolate cake.
If only one of them is telling the truth, who took the chocolate cake?
Answer : \(Cindy\)
18. Train leaves a station every 15 minutes. If the first train left at 6:00 AM. How many trains have left the station by 7:35 AM since morning?
Answer : \(7\)
19. Bob and Tim have 40 books altogether. If Bob has 6 books more than Tim, then how many books does Bob have?
Answer : \(23\)
20. At a farm, there were some cows, some ducks and some dogs. If the cows were 10 more than ducks. and the ducks were 6 more than the dogs. If there were 82 animals altogether, then how many cows were there?
Answer : \(36\)
21. The sum of ages of father and son will be 45 years in 5 years’ time. The father is 6 times as much as old his son now. In how many years the son will be half of his father’s age?
Answer : \(20\)
22. A vehicle manufacturing company made a total of 19 cars and trucks. If they made a total of 90 wheels. How many cars did this company make? Assume a car has 4 wheels and a truck has 6 wheels.
Answer : \(12\)
23. At least how many students in a class do you need to ensure that there are at least 2 students who have birthdays in the same month?
Answer : \(13\)
24. The perimeter of a rectangle is 50. Find the maximum possible area if the sides are integers.
25. There are 100 ducks and dogs in a park. The number of duck legs is 50 more than the number of dog legs. How many ducks are there in the park?
Answer : \(75\)