1. No Pencil/Paper Computation
2011 MATH FIELD DAY
MENTAL ARITHMETIC
No Calculators
No Pencil/Paper Computation
There are 20 questions on the test. Each one will be flashed on the screen for 25 seconds and read aloud. At the end of this time, the monitor will say, “Write down your answer.” At this time you may pick up your pencil and write your answer. Then put your pencil back down.
The first 15 problems are multiple answer. Be sure to write A, B, C, D, or E, not a number. The last 5 problems require a number.

2. 1. Which of these numbers is evenly divisible by both 4 and 6?
282
327
436
588
658

3. 2. If three hens lay four eggs in five days, how many days will it take a dozen hens to lay four dozen eggs?
9 days
10 days
12 days
15 days
20 days

4. 3. How long will it take a two-mile-long train going 12 mph to get completely through a mile-long tunnel?
10 minutes
12 minutes
15 minutes
20 minutes
30 minutes

5. 4. Compute: (11+23+35 +45 + 57+69)/(16 – 4-2)21 22 23 24 25

6. 5. A teacher wants to give each student in his class some candy
5. A teacher wants to give each student in his class some candy. Everyone gets an equal number of pieces. He has fewer than 85 pieces of candy. If he arranges the pieces in groups of 2, 3, or 4, he will have 1 piece left over. If he uses groups of 5, he will have none left over. How many pieces of candy does he have? 75 50 45 30 25

7. 6. I am a prime number between 40 and 90 whose ones digit and tens digits are both prime numbers. If you subtract my ones digit from my tens digit, the answer is not 2. What number am I? 41 51 53 71 73

8. 7. What is the smallest possible sum for all Friday dates in a 31 day month?57 58 70 71 72

9. 8. How many minutes are in 1hour + 1/2 hour + 1/3 hour + 1/4 hour + 1/5 hour + 1/6 hour+ 1/10 hour + 1/12 hour + 1/15 hour + 1/20hour+1/30 hour+1/60 hour?
168
180
1060
10,060
10,080

10. 9. Order these fractions from smallest to largest: 2/5, 1/3, 9/20, 23/50
23/50, 9/20, 2/5, 1/3
2/5, 1/3, 9/20, 23/50
1/3, 9/20, 2/5, 23/50
1/3, 2/5, 9/20, 23/50

11. 10. A class of 60 students has a 2:1 ratio of boys to girls if 3 boys and 3 girls leave, the new ratio is
57:27
47:27
37:17
27:17
4:2

12. 11. Order these numbers written in various bases from largest to smallest 44twelve, 58nine, 63eight
44twelve, 63eight, 58nine
58nine44twelve, 63eight
58nine , 63eight ,44twelve
63eight ,58nine, 44twelve

13. 12. What is the units digit of 235?2 4 6 8

14. 13. Which number is closest to 1?
9 divided by 10
10 divided by 11
11 divided by 10
10 divided by 9
B & C
A & D

15. 14. Compute quotient of the product of the numbers from 1 to 5 inclusive and their sum.8 9 10 11 12

16. 15. Luke gives seven-tenths of his money to charity A and three-fourths of the remainder to charity B. He then divides the rest equally among charities C, D, and E. What percentage of Luke’s money goes to charity E?
1.5%
2.5% 3%
15%
25%

17. 16. What is the smallest whole number by which 180 must be multiplied to obtain a perfect cubic number?

18. 17. A palindrome is a number that reads the same from right to left as it does from left to right. How many seven digit palindromes exist?

19. 18. The largest whole number that divides both 2500 and 4000 evenly is What is the smallest whole number that both 2500 and 4000 divide into evenly?

20. 19. Determine the number of degrees in the supplement of the complement of an angle whose measure is one ninth of a half revolution.

21. 20. Start with the number 9876. Reverse the digits and subtract
20. Start with the number Reverse the digits and subtract. Sort the digits from largest to smallest. What is the resulting number?