# Central Arizona College

Central Arizona College 14th Annual Middle School Math Contest TEAM COMPETITION 1.) How many different ways can a four-person committee be selected from a group of 10 people? A.) 1

B.) 40 C.) 230 D.) 720 E.) None of the above. Question 1 Percentage Results

Frequency Analysis 2.) Find the measure of each of the angles. In the figure to the right, AOB measures 26 and COD measures 101 COD measures 101 A.) COD measures 101 BOC = 26, COD measures 101 DOE = 53, COD measures 101 AOF = 101 , COD measures 101 FOE = 26 B.) COD measures 101 BOC = 37, COD measures 101 DOE = 26, COD measures 101 AOF = 101 , COD measures 101 FOE = 37 C.) COD measures 101 BOC = 53, COD measures 101 DOE = 101, COD measures 101 AOF = 26 , COD measures 101 FOE = 5

D.) COD measures 101 BOC = 53, COD measures 101 DOE = 26, COD measures 101 AOF = 101 , COD measures 101 FOE = 53 E.) None of the above. Question 2 Percentage Results Frequency Analysis

3.) Solve the equation. A.) -8 B.) 1/8 C.) -1 D.) 1 E.) None of the above.

Question 3 Percentage Results Frequency Analysis 4.) A box of instant brownies has the list of ingredients shown in the table. Use this information to find the amount of the stated ingredient you would need to make the indicated number of servings.

Calculate the amount of water you would need for 10 servings. A.) tbls Ingredients For 12 servings

Water Oil Nuts Brownie Mix 3 tbls cup cup

2 cups B.) tbls C.) ounces D.) cups E.) None of the above. Question 4

Percentage Results Frequency Analysis 5.) A projectile is thrown upward so that its distance above ground after t-seconds is After how many seconds does it reach its maximum height? A.) 25.5 seconds

B.) 8 seconds C.) 34 seconds D.) 17 seconds E.) None of the above. Question 5 Percentage Results

Frequency Analysis 6.) Which equations below shows that the natural numbers are not closed with respect to subtraction? A.) -7 + 4 = -3 B.) -4 2 = -6 C.) 1 2 = -1

D.) 5 3 = 2 E.) None of the above. Question 6 Percentage Results Frequency Analysis

7.) Suppose that we agree to pay you 6 for every problem that you solve correctly and fine you 5 for every problem done incorrectly. If at the end of 33 problems we do not owe each other any money, how many problems did you solve correctly? A.) 15 B.) 16 C.) 17 D.) 18 E.) None of the above.

Question 7 Percentage Results Frequency Analysis 8.) A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have the same sum. Use the properties of a magic square to fill in the numbers

represented by A, B, C, D and E in the magic square pictured below. Which of the lettered squares has the lowest value? A.) C B.) A C.) B D.) E E.) None of the above.

Question 8 Percentage Results Frequency Analysis 9.) A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?

A.) 47 cards B.) 45 cards C.) 50 cards D.) 48 cards E.) None of the above. Question 9 Percentage Results

Frequency Analysis 10.) Find the measure of angle 1. 130 60 A.) 175

B.) 170 C.) 165 D.) 80 E.) None of the above. Question 10 Percentage Results

Frequency Analysis 11.) A survey of 1000 American adults was taken to analyze their investments. Of those surveyed, 650 have invested in stock, 550 in bonds, and 400 in both stocks and bonds. How many adults did not invest in stocks or bonds? A.) 100 B.) 200 C.) 300

D.) 400 E.) None of the above. Question 11 Percentage Results Frequency Analysis

12.) Solve the following problem. Subtract from the sum of and . A.) B.) C.) D.) E.) None of the above.

Question 12 Percentage Results Frequency Analysis 13.) The data below represent the cost of admission for a one-day pass to each of 12 amusement parks in the United States. Find the interquartile range for this data set. 42, 31, 27, 53, 60, 49, 42, 33, 45, 61, 30, 54

A.) 20.0 B.) 20.5 C.) 21.0 D.) 21.5 E.) None of the above. Question 13 Percentage Results

Frequency Analysis 14.) Solve the problem. The shape of a barbecue pit is like a parallelogram with height of 50 in. and a base of 34 in. It costs \$0.90 per ft2 to fill the pit with charcoals. How much does it cost? A.) \$10.62 B.) \$42.50

C.) \$1530 D.) \$127.50 E.) None of the above. Question 14 Percentage Results Frequency Analysis

15.) Company A pays \$26,000 yearly with raises of \$1,600 per year. Company B pays \$27,000 yearly with raises of \$850 per year. Which company pays more in year 10? A.) Company A pays more. B.) Company B pays more. C.) Both companies pay the same. D.) There is not enough information.

E.) None of the above. Question 15 Percentage Results Frequency Analysis 16.) Estimate the answer by rounding the first number to the nearest hundred and the

second number to the nearest thousand. 131 2854 A.) 60,000 B.) 300,000 C.) 400,000 D.) 200,000 E.) None of the above.

Question 16 Percentage Results Frequency Analysis 17.) A regular six-sided die is tossed. What is the probability of rolling a prime factor of 100?

A.) 1/6 B.) 1/3 C.) 1/2 D.) 2/3 E.) None of the above. Question 17 Percentage Results

Frequency Analysis 18.) Find the volume and surface area of the figure. Use 3.14 as the approximate value of . Round your answer to the nearest tenth, if necessary. A.) B.)

C.) D.) E.) None of the above. 2 ft 8 ft 15 ft

Question 18 Percentage Results Frequency Analysis 19.) The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from

this group is selected at random, what is the probability that this person has O blood type? A.) 1/4 B.) 3/10 C.) 7/20 D.) 2/5 E.) None of the above.

Question 19 Percentage Results Frequency Analysis 20.) Gym lockers are to be numbered from 1 through 99 using metal numbers to be nailed onto each locker. How many 7s are needed?

A.) 10 B.) 15 C.) 20 D.) 25 E.) None of the above. Question 20 Percentage Results

Frequency Analysis

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