2012 math field day mental arithmetic no calculators no pencil/paper computation

2012 MATH FIELD DAYMENTAL ARITHMETIC

No CalculatorsNo 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.

1. 80 is to 96 as what number is to 120?

A.64 B.90 C. 100 D.104E.Not enough information is given

A. 531×42B. 532×41C. 541×32D. 542×31E. The products are all the same.

2. Which of these products are largest?

3. Which number listed has an odd number of factors?

A. 18B. 27C. 35D. 49E. 57

A. 2345B. 23,456C. 234,567D. 2,345,678E. 23,456,789

4. Which number is a multiple of 9?

5. Which number is closest to 1?

A. B. C. D. E.

1211111213121213The numbers are equally close to 1.

A. π : 4π B. π :4C. 1:4D. 1:2E. Not enough information is given.

6. Two cylinders of the same height have volumes given by 100π cm3 and 400π cm3 ? Their radii have ratio

7. Take 20 percent off of 20 percent of the quotient of 20 and the reciprocal of 20. The resulting number is

A. 0.16B. 4C. 16D. 40E. 64

A. 1sB. 10sC. 100sD. 1000sE. 10000s

8. What is the rightmost position in which a nonzero digit occurs in the product 1×2×3×4×5×6×7×8×9×10 ?

9. Find the sum of all the three digit numbers whose three digits are each one of 1, 3, and 6:

A. 2000

B. 2110

C. 2220

D. 2440

E. 2550

10. What is the sum of 1-2+3-4+5-6+7-…+17?

A. -8B. 0C. 1D. 8E. 9

11. Compute the quotient:

A. 2 B. 10C. 24D. 200E. 1024

2 4 6 8 10 12 14 16 18 201 2 3 4 5 6 7 8 9 10

12. A rectangular prism has width and length that are both 10 times the height. If the volume of the prism is 3000 cubic units, what is the height to the nearest whole number?

A. 2 unitsB. 3 unitsC. 4 unitsD. 5 unitsE. 6 units

13. France 211,207 mi2 Spain 194,896 mi2 Sweden 173,731 mi2 Finland 130,119 mi2 Norway 125,181 mi2 Which statement is true?

A. Sweden is less than 40,000 mi2 larger than Finland.

B. France is more than twice the size of NorwayC. Spain is about 21,000 mi2 larger than Sweden.D. France is more than 100,000 mi2 larger than

Norway.E. All statements are false.

14. Select the one prime number.

A. 213

B. 401

C. 171

D. 2001

E. 2013

15. What is the next number in the sequence?59, 81, 140, 221, 361, _____

A. 401B. 409C. 442D. 541E. 582

16. Start with the number of pints in a gallon, multiply by the number of inches in a foot, subtract the number of letters in the alphabet, then divide by the number of digits in a zip code.

17. Apples normally sell for $0.32 each. They go on sale 3 for $0.69 each. How much money is saved if you purchase 2 dozen apples while they are on sale?

18. I am thinking of a number. If I divide by 13, then multiply by 12, then subtract 20 and finally add 89, I end up with 93. What was my original number?

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

20. What is the sum of all the digits on a standard 12 hour clock?