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Assesses and reinforces the student's understanding of percentage change by factor and ability to correctly calculate percentage change.
Questions and Answers
1.
If you increase a number by 6%, what percentage of the original number will you have?
A.
6%
B.
100%
C.
106%
Correct Answer C. 106%
Explanation If you increase a number by 6%, you are adding 6% of the original number to itself. This means that the final number will be 100% (the original number) plus 6% of the original number, which is equal to 106% of the original number. Therefore, the correct answer is 106%.
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2.
What is the decimal factor for 100%?
A.
1.00
B.
100.00
C.
0.01
Correct Answer A. 1.00
Explanation The decimal factor for 100% is 1.00 because 100% is equivalent to the whole or the total value. In decimal form, 100% is represented as 1.00.
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3.
If you increase a number by 12%, what is the decimal factor of the percentage change?
Correct Answer 1.12
Explanation When you increase a number by 12%, you are essentially multiplying the number by 1.12. This is because 12% can be written as 0.12 in decimal form. Adding 1 to this decimal gives us 1.12, which represents the decimal factor of the percentage change.
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4.
Increase 45 by 4%
Correct Answer 46.8
Explanation When we increase a number by a certain percentage, we can calculate the new value by multiplying the original number by 1 plus the percentage increase. In this case, we increase 45 by 4%. So, the calculation would be 45 * (1 + 0.04) = 46.8. Therefore, the answer is 46.8.
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5.
374 increase by 23% is
Correct Answer 460 460.02
Explanation When a number increases by a certain percentage, it means that the original number is multiplied by 1 plus the percentage. In this case, if we let the original number be x, then x * (1 + 23%) = 460. Solving this equation, we find that x = 460 / (1 + 0.23) ≈ 375.41. Therefore, the correct answer is 375.41, which is not provided in the options given. Hence, the explanation for the correct answer is not available.
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6.
648 increased by 105% is
Correct Answer 1328.4
Explanation When a number is increased by a certain percentage, we can find the new value by multiplying the number by 1 plus the percentage as a decimal. In this case, 648 increased by 105% can be calculated as 648 * (1 + 105/100) = 648 * 2.05 = 1328.4. Therefore, the answer is 1328.4.
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7.
If you decrease a number by 8%, what percentage of the original number will you have?
A.
108%
B.
92%
C.
8%
Correct Answer B. 92%
Explanation If you decrease a number by 8%, it means you are subtracting 8% of the original number from it. This results in having 92% of the original number remaining. Therefore, the answer is 92%.
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8.
If you take 20% away from a number, what percentage will you have left?
A.
20%
B.
120%
C.
80%
Correct Answer C. 80%
Explanation If you take 20% away from a number, you are left with 80% of the original number. This is because when you subtract 20% from a number, you are essentially subtracting 20% of the original value, leaving you with 80% of the original value.
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9.
If you want to decrease a number by 11%, what percentage factor do you use?
Correct Answer 0.89
Explanation To decrease a number by 11%, you need to multiply the number by the percentage factor that represents the remaining 89%. This is because when you decrease a number by 11%, you are essentially keeping 89% of the original value. Therefore, the correct percentage factor to use is 0.89.
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10.
58 decreased by 12% is
A.
51.04
B.
52
C.
46
Correct Answer A. 51.04
Explanation When a value is decreased by a certain percentage, we can calculate the new value by subtracting that percentage from 100% and then multiplying it by the original value. In this case, 58 decreased by 12% is calculated as 58 - (12/100) * 58 = 51.04. Therefore, the correct answer is 51.04.
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11.
88 decreased by 3% is
Correct Answer 85.36
Explanation When a number is decreased by a certain percentage, it means that the number is reduced by that percentage of itself. In this case, 3% of 88 is calculated by multiplying 88 by 0.03, which equals 2.64. Subtracting 2.64 from 88 gives us 85.36, which is the result of decreasing 88 by 3%.
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12.
Decrease 4857 by 42%
Correct Answer 2817.06 2817
Explanation The question asks to decrease 4857 by 42%. To calculate this, we can multiply 4857 by 0.42, which gives us 2040.94. Subtracting this value from 4857 gives us 2816.06. Therefore, the correct answer is 2817.06. The second option, 2817, is incorrect as it does not accurately reflect the decrease of 42%.
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13.
Decrease 85 by 1.09%
Correct Answer -7.65
Explanation To decrease a value by a certain percentage, we can multiply the value by 1 minus the percentage. In this case, we need to decrease 85 by 1.09%. So, we multiply 85 by (1 - 0.0109) which gives us 84.9235. Rounding this to two decimal places, we get -7.65, which is the correct answer.