MATH 304 - MIDDLE SCHOOL MATHEMATICS 
COMPETENCY TEST QUESTIONS

1. Find the Least Common Multiple of 264 and 484 .

2. Using the digits 1,2,3,4,5 and 6, how many four-digit numbers can be formed if: A) the digits nay be, repeated?, B) no digit may be repeated? C) the number must be even and and greater than 4000 (digits may be repeated)?

3. 5.4 is 7.5% of what number?

4. Four fair coins are flipped. What is the probability that exactly two coins land heads?

5. Two balls are selected at random from an urn containing 4 red and 7 green balls. What is the probability that the balls selected are the same color?

6. After a 15% reduction, the price of an item is now $3.91 . What was the original price?

7. If you roll a pair of dice, what is the probability that the sum of the dice is at most 5 ?

8. How many different bicycle licenses can be made if the first two symbols are letters of the alphabet (repetition of letters is NOT allowed), and the second two symbols are numerals (where repetition of numerals is allowed)?

9. The price of an item is $2.65 including sales tax. If the sales tax rate is 6%, what was the original price of the item?

10. The dial on a gym locker shows the numbers 1 - 50. If the same number may not be used twice in a row, how many different locker combinations are there that use three numbers?

11. This year, the price for a Mathmobile Rhom-Bus is $14,000. If the inflation rate stays at 4% per year, what should you expect to pay for a new model: A) next year? B) in 3 years?

12. Simplify: 

13. Use Scientific Notation to help evaluate 

14. Corresponding altitudes of similar triangles have measures of 5 and 35 units, respectively. If the AREA measure of the smaller triangle is 18.75 sq. units, what is the area measure of the larger one?

15. What, in terms of c, is the expression for the AREA of a circle whose circumference is c ?

16. Simplify: 

17. On the planet Doolittle, 14 Newts are worth 55 Kudos, 11 Kudos are equal to 4 Hodags, and 10 Hodags are equal to 21 Tapirs. How many Newts can be exactly exchanged for 9 Tapirs?

18. The mean of five whole numbers is 34.4. Their median is 23 and their mode is 11. If all of the numbers are less than 65, what are their values?