COUNTS MORE

S Round
Time - 40 minutes 30 questions	Direction: The real competition of Sprint round consists of 30 questions. You will have 40 minutes to complete all the questions. You are NOT allowed to use calculators, books or other aids during the round.

1. There are 10 steps from 1st floor to 2nd floor. Larry's home is at 3rd floor. How many steps will it take for him to get home from 1st floor? (Assume that the number of the steps between every adjacent floor is same.)

2. 4 hens can lay 4 eggs in 4 days. At this rate, how many hens can lay 60 eggs in 60 days?

3. There are a total of 39 motorcycles (2-wheel) and cars (4-wheel) in a parking lot. Together, there are 126 wheels. How many motorcycles and cars are there respectively?(Only write down the numbers separated by a comma.)

4. If David tripled his money and then spent $15, he would have the same amount of money as Eric has. Eric has $192. How much money does David have? $

5. Suppose today is Wednesday. What day of the week was it 76 days ago?

6. Nancy has a total of 13 $10 and $20 bills with a total value of $170. How many $10 bills does Nancy have?

7. How many rectangles can you count in the following figure?

8. Using digits 1, 2, 3, 4, and 5 (Each digit can be used as many times as you want), how many 2-digit numbers can you make?

9. Anne is 3 times as old as Jay was 3 years ago. Anne will be 12 years old after 3 years. How old is Jay this year?

10. How many factors does 72 have?

11. Out of 70 people, 19 can both swim and ski, and 15 cannot swim nor ski. If 34 people can swim, how many people can ski?

12. A drawer contains 5 red socks, 3 brown socks, 8 gray socks, 9 blue socks, and 20 black socks. If you are blindfolded, what is the fewest number of socks you will need to pick from the drawer to be absolutely sure that you either picked two pairs of blue socks or two pairs of red socks?

13. Julia is doing a subtraction operation. The tens place digit of the minuend (number being subtracted) was not printed clearly. She incorrectly put a 9 in the tens place where the digit should be 3. She got an incorrect answer of 485 even though the calculation was correct. What should be the correct answer with the right digit in the tens place?

14. If 30 is added to

of a number, the result is twice of the number. What is the number?

15. Julia is making drinks for a party by blending lemonade, orange, and apple juice in a ratio of 7:6:9. If she wants to make a total of 132 cups of the drink, how many cups of orange will be needed?

16. A natural number is divisible by 3 and 5. However, it has a remainder of 6 when the number is divided by 7. What is the smallest possible value for such a number?

17. There are 7 locks and each with a key. However all the keys were messed up. At most how many tries will be needed in order to match each key to its lock?

18. If one fourth of a number is deducted from 30, the result is the number. What is the number?

19. 4 consecutive whole numbers have a sum of 66. What is the smallest number among the 4 numbers?

20. A is the sum of the odd numbers from 1 through 89, and B is the sum of the even numbers from 2 through 90. What is the difference between A and B?

21. There are 146 people in a computer program training class that started two weeks ago. Some people learned the program in the first week, and 30 people learned the program in the second week. After that, there are 36 more people who have learned the program than those who haven't. How many people learned the program in the first week?

22. A pile of 107 coins consists of quarters and dimes. If the value of the pile is $25.25, how many dimes are there?

23.

, where A is less than B and both are whole numbers. What is the largest possible value for B?

24. There are four family members each with a different age. There are three square numbers in the four age numbers. Fifteen years later, the age sum of the four family members will reach 129. There will still be three people whose ages are square numbers. How old is the second oldest among the four family members currently?

25. Jay took a 260-mile trip. He travelled at 60 MPH for the first 1.5 hours of the trip, and travelled at 26 MPH for the entire trip. What is the average speed (in MPH) after the first 1.5 hours?

26. A train needs 115 seconds to cross (from entering to completely exiting the bridge) a 1564-meter long bridge. At the same speed, it needs 105 seconds to cross a 1334-meter long tunnel. What is the length of the train in meters?

27. There are 3 pumps A, B and C available to pump water to fill a large tank. If only pump A is used, it will take 45 hours. If only pump B is used, it will take 22.5 hours. If only pump C is used, it will take 7.5 hours. How long (in hours) will it take if 3 pumps are used at the same time for filling the tank?

28. A bus can take up to 57 passengers. The bus started out empty and picked up 4 passengers at the first stop, 5 passengers at the second stop, 6 passengers at the third stop, and so forth. After how many stops will the bus be full?

29. Select 6 digits from 1, 2, 3, 4, 5, 6, and 7 to make a 6-digit number which is a multiple of 9. How many different 6-digit numbers can you make?

30. A play has 3 types of tickets priced at $30, $40, and $50. A group bought a total number of 500 tickets with a total price of $21000. The number of $40 tickets is equal to the number of $50 tickets. How many $30 tickets are there?

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