1. 5th Grade Battle of the Brains

2. Q1 Rounding to the nearest tenth makes me 203.5.
Rounding to the nearest hundredth makes me
The sum of my digits is 15.
Carry me out to the thousandths place.
What number am I?

3. A1

4. Q2
A train stops at the towns of Ouch, Hey, and No Way on its way to Whoa. Ouch is 22.2 miles west of No Way. No Way is 9.9 miles east of Hey. Hey is 13.7 miles west of Whoa.
How far is Whoa from Ouch?

5. A2
26 miles

6. Q3
Lulu brought $9.05 to the mall. She returned home with less than $1.00 in her purse.
What is the least she could have spent?

7. A3
$8.06

8. Q4 I am a fraction equivalent to 2/5.
My numerator is 21 less than my denominator.
What fraction am I?

9. A4
14/35

10. Q5
I am a number less than Two of my factors are 2 and 7. I am a common multiple of 8 and 14.
What number am I?

11. A5 56

12. Q6 The solution is 1/8. The digits are 5, 4, 3, 8
Use either addition or subtraction.
What is the problem?

13. A6
¾ - 5/8

14. Q7 Two numbers are in the ratio 5:3. Their sum is 160.
What are the numbers?

15. A7
100 and 60

16. Q8
A little bug ate 135 tiny flies in 5 days. Each day, it ate 10 more flies than it did on the previous day.
How many flies had the bug eaten…
After three days?
After four days?

17. A8 51 88

18. Q9
In Buffy’s Basket Weaving class, tests count twice as heavily (double) as quizzes.
On the two tests she has taken, her scores were 70 and 85.
She is taking a quiz this week.
What score does she need to get in order to bring up her exam average to 80?

19. A9 90

20. The sum of the ages of Mike and Dan is 20 years.
Q10
The sum of the ages of Mike and Dan is 20 years.
In 4 years, Dan’s age will be three-fourths of Mike’s age.
How old is Mike now?

21. A10 12

22. Q11
Sam has $5 in nickels, dimes, and quarters. He has 3 times as many nickels as dimes. He has 5 times as much money in quarters as he does in nickels.
How many of each does Sam have?

23. A11
15 nickels
5 dimes
15 quarters

24. Q12
I am the greatest common factor of two numbers whose sum is 24 and whose difference is 6.
What are the two numbers?
What number am I?

25. A12
9 and 15 3

26. TIEBREAKER
I am a 3 digit number divisible by 3. My tens digit is 3 times as great as my hundreds digit, and the sum of my digits is 15. If you reverse my digits, I am divisible by 6, as well as by 3.
What number am I?

27. TIEBREAKER ANSWER
267