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10 Cards in this Set
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1/6 + 3/8 - 5/12 =
A. 1/192 B. 5/24 C. 1/8 D. 23/24 E. -1/8 |
Answer:
C: Key concept: To be able to solve this type of question you should have an understanding of addition/subtraction of fractions. The most important step in this process is finding a common denominator(number that is a common multiple of one or more numbers). Step one - In this question, 6, 8, and 12 are the denominators, and a common denominator of all three is 24. Step two - Now using this common denominator equivalent fractions are found. For example, the first fraction becomes 4/24, because 6 times 4 is 24. Step three - Now by substituting in the equivalent fractions, the numerators can be added or subtracted accordingly. ALWAYS PAY ATTENTION TO "+" OR "-". |
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A farmer has a rectangular garden with a perimeter of 72 feet. If one side is 4 feet longer than the other, then what is the area of the garden?
A. 320 ft2 B. 1476 ft2 C. 1280 ft2 D. 324 ft2 E. 672 ft2 |
Answer:
A: Key Concept: Knowledge of area, perimeter, and solving equations. Step one: It is always important to collect the data from a question and know what the question wants you to find. In this case, the question wants you to find the area: (L x W), and they give the perimeter: (2L + 2W = 72ft). Also we know that one side is 4 feet longer than the other(L = W + 4). Step two: Using the previous information, we simply substitute the value for length into the equation for the perimeter, and solve for Width (W). Step three: Length (L) is easily found knowing Width (W). Step four: Because the formula for area of a rectangle is length times width, the area is easily found by solving L x W. |
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Which is the smallest?
A. 11/63 B. 5/46 C. 1/5 D. 2/9 E. 7/36 |
Answer:
B: Key concept: Knowledge and quickness of fractions and long division. To answer these type of questions, your first step should be to approximate the fractions as below. For this question the answer becomes obvious after the first step, because 1/9 is less than 1/6 or 1/5. It is not always the case that these questions will work out this easily. Usually you will be able to narrow the answer choices to two or three and then perform long division from there, as is demonstrated (step two). Normally it does not require that you divide the anwswer out more than two numbers to the right of the decimal. The red circled value is three places to the right for demonstration. Answer: B: Key concept: Knowledge and quickness of fractions and long division. To answer these type of questions, your first step should be to approximate the fractions as below. For this question the answer becomes obvious after the first step, because 1/9 is less than 1/6 or 1/5. It is not always the case that these questions will work out this easily. Usually you will be able to narrow the answer choices to two or three and then perform long division from there, as is demonstrated (step two). Normally it does not require that you divide the anwswer out more than two numbers to the right of the decimal. The red circled value is three places to the right for demonstration. Answer: B: Key concept: Knowledge and quickness of fractions and long division. To answer these type of questions, your first step should be to approximate the fractions as below. For this question the answer becomes obvious after the first step, because 1/9 is less than 1/6 or 1/5. It is not always the case that these questions will work out this easily. Usually you will be able to narrow the answer choices to two or three and then perform long division from there, as is demonstrated (step two). Normally it does not require that you divide the anwswer out more than two numbers to the right of the decimal. The red circled value is three places to the right for demonstration. Answer: B: Key concept: Knowledge and quickness of fractions and long division. To answer these type of questions, your first step should be to approximate the fractions as below. For this question the answer becomes obvious after the first step, because 1/9 is less than 1/6 or 1/5. It is not always the case that these questions will work out this easily. Usually you will be able to narrow the answer choices to two or three and then perform long division from there, as is demonstrated (step two). Normally it does not require that you divide the anwswer out more than two numbers to the right of the decimal. The red circled value is three places to the right for demonstration. |
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A young man works at a grocery store and is paid $10.00 an hour up to 40 hours. Then if he works more than 40 hours he is paid $15.00 per hour for the time he works over 40 hours. If the young man works 44 hours and 17 minutes, how much will he be paid?
A. $444.25 B. $460.50 C. $464.25 D. $660.75 E. $463.75 |
Answer:
C: Key concept: Evaluating word problems involving money. For this type of problem it is important to first recognize what the question is asking and what values are given.(Step one) This step doesn't have to be written each time but it is helpful. Now that all the important values are known the problem can be solved.(Step two) Following the steps shown, the young man is paid $400 for the first 40 hours, $60 for the 4 hours over 40, and $4.25 for the 17 minutes. This last value had to be found by determining the pay per minute, which is $15 divided by 60 minutes, or $0.25/min. Then the pay for 17 minutes is 17 quarters, or $4.25. Finally in (step three) add all the values for the total of $464.25. |
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If: x2 + 6x + 9 = (x+3). What is a value for x that makes this statement true?
A. -2 B. -1 C. 3 D. 1 E. 2 |
Answer:
A: Key concept: Solving Algebraic Equations. To solve this problem you must be familiar with the FOIL method, or in this case the reverse of it.(Step one) demonstrates this, if you are still confused, type "FOIL method" in on any internet search engine. This problem requires the reverse of what is demonstrated. In (Step two), it must be recognized that (x + 3)2 = x2 + 6x + 9. From here, solve this algebraic equation for x giving answer a. |
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Dick is driving on I-75 at 65 miles per hour for 24 minutes then slows down to 55 miles per hour for 30 minutes due to construction. How many miles did Dick travel in 54 minutes?
A. 58.5 B. 53.5 C. 60 D. 55.5 E. 50.5 |
Answer:
B: Key concept: Knowledge of word problems involving speed and distances. In (Step one) record the important data that is found in the question. Now that we know what the question is looking for, and we have all the values we can solve the problem. (Step two) Determine the distance traveled at each speed. This is done by converting miles per hour to miles per minute. (Step three) shows a quick way to solve the equation by dividing 12 out of the top equation, and 30 out of the lower equation. This gives the total distance Dick traveled at each speed, and then addition of these two yields the total distance traveled - b. |
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What is 8% of 4% of 2?
A. 64 B. 0.64 C. 0.064 D. 6.4 E. 0.0064 |
Answer:
E: Key concept: knowledge of percentages. These are the questions that you are able to make up ground if you are behind on time. (Step one) Write out the equation for what the question asks. This is step can be skipped on some questions but not here. Once you do this, solve and you're done. Don't forget to move your decimal two places to the left for percentages - as seen below. |
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If Chad has a 2 sided coin, what is the probability he will flip the coin on heads three times in a row?
A. 1/2 B. 1/4 C. 1/6 D. 1/8 E. 1/16 |
Answer:
D: Key concept: knowledge of odds, and probability. Probability = # successes/# possibilities. Odds = # successes/failures. (Step one) Understanding the question write down what you know. (Step two) Understand that each event is separate, therefore on each flip there is a 1/2 chance of flipping heads. So on the first attempt the probability is 1/2. The probability of the second flip being heads is 1/2, and the probability of heads on the third flip is 1/2. The probability of flipping the coin on heads consecutively three times in a row is 1/2(first flip) x 1/2(second flip) x 1/2(third flip). So the probability is 1/8. |
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Brandon shoots freethrows at a ration of 3:2 for made to missed respectively. If he misses 150 shots then how many freethrows did he make?
A. 450 B. 150 C. 300 D. 320 E. 225 |
Answer:
E: Key concept: knowledge of ratios, and word problems. (Step one) Understand that a ratio of 3:2 is 3 made shots and 2 missed shots, or as a fraction he makes 3/5 of his shots and misses 2/5 of his shots. (Step two) Now using this information we can create an equation with the information we know. Because he misses 2/5 of all his shots, and he missed 150 shots we created this equation solving for total shots taken. (Step three) Now using total shots taken and the fraction for shots made we can find the number of shots made. |
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If the average of a and b is 5 and c = 10. What is the average of a, b, and c?
A. 10 B. 20/3 C. 5 D. 7.5 E. 6 |
Answer:
B: Key concept: Knowledge of word problems, and averages. (Step one) Write everything out so that you can see it clearly. (Step two) Setup an equation that represents the question, and solve. C=10 (A+B)/2 = 5 so A+B=10 (A+B)+C /3 = 20/3 |
