Math Olympiad Quiz Set1 for Class 5

1.

A man travels $12$km West, then $3$km towards South, and then $8$km towards East. How far is he from the start?

2. A man does work in 12 days working 8 h per day. If he does 6 h per day, what would be the number of days taken by him?

3. The difference between the smallest number of six-digits and the largest number of four-digits is---?

4. A shopkeeper takes Rs. 10 for every bottle of coke or 240 for every carat of 30 bottles. If Vandana wants to buy 185 bottles of coke, what amount she will have to pay?

5. The number of students in 3 classes is in the ratio 2 : 3 : 4. If 12 students are increased in each class this ratio changes to 8 : 11 : 14. The total number of students in the three classes in the beginning was....?

6. A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13 : 11. The number of one-rupee coin is

7. Find out the wrong number in the series.

216, 163, 120, 72, 24

8. Write the number which does not fit in the principle followed.

22, 37, 52, 67, 84, 97

9. The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:

10. Mr. Gupta bought a house for Rs. 1672000. He spent Rs. 12582 on the furniture and Rs. 8540 on buying the curtains. Then he spent another Rs. 5675 for preparing the front lawn of the house. How much money did he spend altogether?

11. There are 480 coins in 50 Paise, 25 paise and 10 paise coins and their values are proportional to 5 : 3 : 1. The number of coins in each case is:

12. If in a two-digit number, the digit at unit place is y and the digit at tens place is 5, then the number is

13. What is the product of 9680 × 10 × 14 × 0 × 8?

14.

If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to

15. How many cubes are there in this picture?

16. Which of these pipes will empty a pool the fastest?

i. One pipe of diamater 60 cm.

ii. Two pipes of diameter 30 cm each.

iii. Three pipes of diameter 20 cm each.

17. Rs. 1740 is divided among A, B, and C such that 0.5 of A = 0.6 of B = Rs. 0.75 of C. Then C will get

18. Monu is thinking of a four-digit number having all different digits.
● The unit place digit is the greatest one-digit number.
● When the tens place digit is divided by the thousands place digit, the quotient is 2.
● The difference between the tens and hundreds place digit is 1.
● The thousands place digit is double of 2

19. The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there ?

20. Which one is the smallest number?