General Knowledge Math 1. The length of a deck is 5 less than twice the width with a perimeter of 62 ft. What is the width of the deck rounded to the nearest tenth? a. b. c. d. 12.0 12.3 12.8 13.1 22. A car salesman makes 30% commission off of all sales during the month. His base pay is $240 per month plus what he makes on sales commission. Which of the following inequalities represents his pay at the end of the month so that he makes no less than $640? a. b. c. d. .3 .3 .3 .3 + 240< 640 + 240 > 640 + 240≤ 640 + 240≥ 640 33. Of the following, which number is greatest? -12 ; -10 ; − D -12 E -10 F − ; −√145 d.−√145 4. Put the following in order from least to greatest. 3 4 ; 30% ; 1 3 ; .8 a. 30% ; 1 3 ; .8; 3 4 b. 3 ; 30% ; 1 ; .8 4 3 c. 30%; 1 3 ; 3 4 ; .8 d. . 8; 3 4 ; 30% ; 1 3 5. A husband and wife share a cell phone plan where each is responsible for half of the bill. Every month the base charge for service is $82. On top of the base pay are the data charges which each person is responsible for individually. At the end of the month the total bill came to $120. If the husband is responsible for 60% of the data charges, how much does he owe for the month? a. b. c. d. $41.00 $38.00 $63.80 $79.80 6. Mrs. Kramer, a first grade teacher, keeps a treasure box full of treats for students who answer the daily trivia question correctly. Today Mindy answered correctly and got to choose from the box which was filled with 3 mints and 4 cookies. What is the probability she picks a mint? a. 3 b. 4 c. 4 d. 3 4 7 3 7 7. On a trip from Naples to Orlando a car travels 200 miles at a rate of 55mph. If the car gets 22mpg, how many gallons of gas will be consumed in 5 hours? a. b. c. d. 7.5 gallons 10.0 gallons 12.5 gallons 14.0 gallons 8. A triangle has interior angle measurements of 20°, 50° and 110°. Classify the triangle. a. b. c. d. Acute Scalene Isosceles Obtuse Scalene Equilateral 9. If a textbook weighs 2 lbs. and notebooks weigh 4oz., what is the total weight of 5 notebooks and 5 textbooks? a. 12 b. 12 c. 13 d. 13 10. An artist used a piece of wire that was 4ft. and 8in. long and bent it into a square. What is the area of the square? a. b. c. d. 56 112 196 212 11. Mr. and Mrs. Morten have 5 children. The age of two kids is 5 and 5. The median age is 9 and the range of ages is 7. Which is a possible age of the second to last oldest Morten child? a. b. c. d. 2 3 9 14 12. Cosmo is taking a trip from his house to the airport. If he drives 60mph he will arrive 1 hour early, if he drives 30mph he will arrive 1 hour late. What is the distance from the house to the airport? a. b. c. d. 60 120 180 240 13. You and some friends decide to play a game of Frisbee. Person A starts by throwing the Frisbee 3m forward. Person B throws the Frisbee and a gust of wind take it 5m backwards. Person C throws the Frisbee 2m forward. Finally Person D throws the disc up in the air and it travels 1m forward. Where is the Frisbee in relation to the start? a. b. c. d. -1 0 1 3 14. Dimitri is shipping two boxes. The first box has dimensions 2 x 8 x 6, the second box has dimensions 6 x 8 x He puts both boxes into a third box which has dimensions of 12 x 12 x 12. How much empty space is left in the third box? a. b. c. d. 576 872 1,152 1,728 15. In the office supply store it costs $24 for 16 pens. What proportion will find the cost for 21 pens? a. = ! b. 2 c. " d. ! ! = ! " " = = " 16. Person 1 and person 2 have annual salaries of $24,000 and $24,000 respectively. At the end of the year they net a gross income of $56,000. Any monies collected after their salary is the result of a return on investments. What fraction of the year’s total income is from investments? a. 1 b. 1 c. 6 d. 3 7 8 7 8 17. Company A is hiring for many positions, those of which are shown below in the salary chart. Given the information, what would be the best measure of central tendency that Company A would advertise to make the salary options look the best? Salary/year Positions available $15,000 1 $20, 000 4 $35,000 7 $100,000 1 $150,000 1 a. Mean b. Median c. Mode 18. The range of teacher salaries is $40,000 to $60,000. During negotiations the teacher’s union worked out a deal where a flat raise of $1,000 to every teacher was agreed upon. Which of the following is true? a. b. c. d. Mean, median salaries stays the same, standard deviation changes. Mean, median salaries change, standard deviation stays the same. Mean, median salaries change, standard deviation changes Mean, median salaries stays the same, standard deviation stays the same. 19. In a bag there is 1 red marble, 1 yellow, 1 blue and 1 green. After making a selection the marble must stay out of the bag. How many possibilities are there when making two choices, the first being a red marble? a. b. c. d. 2 3 4 5 20. Which of the following choices falls between 0 and 2? a. b. c. d. −4.037× 10 4.037 × 10 −4.037× 10$ 4.037× 10$ 21. Classify the following: 3 + 2% = 6 −2 + 3% = 12 a. b. c. d. Parallel Perpendicular Parallel and intersecting Concurrent 22. Solve: 5 − 7 ≤ 2 − 10 a. b. c. d. x ≤1 x ≤−1 x ≥1 x ≥−1 23. Over the course of the school year in the JROTC class, Jenny logged the following totals of pull-ups: 2, 3, 22, 23, 23, 6, 8, 7, 9, 11 and 13. If she wanted to show the best looking result, which measure of central tendency will she use? a. b. c. d. Mean Median Mode Range 24. Solve: |6 − 8| + 3 ÷ 3 × 4 − 2 a. 12 b. 16 c. 8 d. 1 8 25. In the coordinate plane, which of the following is a function? a. b. c. d. Ellipse Horizontal line Circle Vertical line Baking Soda Ammonia Ants 5 minutes 5 minutes Ticks 10 minutes 7 minutes 26. The chart shows the results from an experiment where baking soda and ammonia were used as remedies for ant and tick bites. The time shown refers to when the pain subsided. According to the chart, which of the following statements is true? I. II. III. IV. a. b. c. d. Baking soda works better on ticks than ammonia. Ammonia works better on ticks then baking soda. Ammonia works better than baking soda on both ants and ticks. If given the choice for the most effective remedy between the two, ammonia would be the best option. I only I and III II and IV IV only 27. Company A Year $ (millions) 1 3 3 7 5 11 7 15 Company B Year $ (millions) 1 2 2 4 3 6 4 8 The two charts above show two different companies, A and B, earnings over a period of time. Which of the following statements is true? a. b. c. d. Company A increased earnings $4 million per year Company A’s yearly earnings were greater than Company B’s yearly earnings Both companies had the same yearly earnings Company B increased earnings $1 million per year 28. Bayside High School has a student population of 1400 with a teacher to student ratio of 1:35. How many more teachers must the principal hire in order to make the ratio 1:20? a. b. c. d. 40 70 30 20 29. During a homework check you received the following problem. Which step, if any, did the student make a mistake? ( − 1) − ( − 1)( + 1) Step 1: Step 2: Step 3: a. b. c. d. ( − 2 + 1) − ( − 2 + 1 − −2 Step 1 Step 2 Step 3 No mistake was made − 1) −1 30. Use the information to write an equation r 16 12 8 4 a. g 12 9 6 3 * = + b. b. * = 3 + 4 cc. + = * d. + = + 31. Which of the following statements below is true? a. b. c. d. 4 = 3 5, × 8 > 27 + 7 = 7. 5 + 5/ = 5 , Answers 1. a 2. d 3. b 4. c 5. c 6. d 7. c 8. c 9. d 10.c 11.c 12.b 13.c 14.c 15.b 16.a 17.a 18.b 19.b 20.d 21.b 22.b 23.c 24.b 25.b 26.c 27.c 28.c 29.b 30.c 31.b
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