Transcript
Dosage Calculations: A Multi-Method Approach
Nursing/Integrated Concepts
Question 1
Write the following as a mixed number: 17/4.
1. 4 1/4
2. 4
3. 64
4. 20
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Divide the numerator by the denominator or 17÷4 = 4 with 1 left over so the answer is 4 with the 1 remainder over 4 or ¼
Question 2
Write the following as a mixed number: 36/7.
1. 4 6/7
2. 5 1/7
3. 4 1/7
4. 5
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Divide the numerator by the denominator: 36÷7 = 5 with a remainder of 1 or 5 1/7
Question 3
Write the following as a mixed number: 7/2.
1. 4 1/2
2. 5 1/2
3. 3 1/2
4. 3
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Divide the numerator by the denominator: 7÷2= 3 with 1 remaining or 3 1/2
Question 4
Write the following number as an improper fraction: 8 5/6.
1. 53/6
2. 40/6
3. 53/8
4. 45/6
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply the whole number by the denominator, and add the numerator. 8×6 = 48+5= 53. Place this number over the denominator or 53/6
Question 5
Write the following number as an improper fraction: 5 5/6.
1. 35/6
2. 30/6
3. 25/6
4. 41/6
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply the whole number by the denominator and add the numerator: 5 × 6 =30 + 5 = 35. Place this number over the denominator: 35/6
Question 6
Write the following number as an improper fraction: 8 1/3.
1. 11/3
2. 24/3
3. 8/3
4. 25/3
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply the whole number by the denominator and add the numerator: 8×3=24 +1 =25 Place this number over the denominator: 25/3
Question 7
Write 0.125 as a fraction in lowest terms and as a percentage.
1. 125/100; 1.25%
2. 25/100; 25%
3. 1/6; 12.5%
4. 1/8; 12.5%
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write one hundred twenty-five thousandths as 125/1000, and then reduce the fraction to 1/8. Move the decimal two places to the right yielding 12.5%
Question 8
Write 0.2 as a fraction in lowest terms and as a percentage.
1. 1/50; 2%
2. 1/5; 20%
3. 2/100; 0.2%
4. 1/500; 0.002%
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write 2 tenths as 2/10 and reduce to 1/5. Move the decimal point 2 places to the right yielding 20%
Question 9
Write 0.49 as a fraction in lowest terms and as a percentage.
1. 49/100; 49%
2. 7/15; 49%
3. 49/100; 4.9%
4. ½; 4.9%
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write 0.49 as 49/100 which cannot be reduced further. Move the decimal point 2 places to the right to yield 49%
Question 10
Write 0.75 as a fraction in lowest terms and as a percentage.
1. 75/100; 75%
2. 15/20; 7.5%
3. 15/20; 75%
4. ¾; 75%
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write 0.75 as 75/100 and reduce to ¾. Move the decimal point 2 places to the right to yield 75%
Question 11
Write 0.06 as a fraction in lowest terms and as a percentage.
1. 3/50; 60%
2. 6/10; 6%
3. 3/50; 6%
4. 3/5; 6%
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write 0.06 as 6/100 and reduce to 3/50. Move the decimal point 2 places to the right to yield 6%.
Question 12
Write 55% as a decimal number and a proper fraction in lowest terms.
1. 5.5; 55/100
2. 0.055; 55/1000
3. 0.55; 11/20
4. 0.0055; 11/200
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal 2 places to the left or 0.55, place 55 over 100 and reduce to 11/20
Question 13
Write 72% as a decimal number and a proper fraction in lowest terms.
1. 7.2; 72/1000
2. 7.2; 72/100
3. 0.72; 36/50
4. 0.72; 18/25
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal 2 places to the left or 0.72. Place 72 over 100 and reduce to 18/25
Question 14
Write 0.6% as a decimal number and a proper fraction in lowest terms.
1. 3/50; 0.06
2. 6/100; 0.60
3. 1/17; 0.06
4. 3/500; 0.006
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal 2 places to the left or 0.006, place 6 over 1000 and reduce to 3/500
Question 15
Write 4.5% as a decimal number and a proper fraction in lowest terms.
1. 0.45; 45/100
2. 0.045; 9/200
3. 0.0045; 45/10,000
4. 0.045; 45/1,000
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal 2 places to the left or 0.045, place 45 over 1000 and reduce to 9/200
Question 16
Write 25% as a decimal number and a proper fraction in lowest terms.
1. 2.5; 1/40
2. 0.025; 5/200
3. 0.25; 1/4
4. 0.25; 25/100
Correct Answer: 3
Rationale 1:
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Rationale 3:
Rationale 4:
Global Rationale: Move the decimal 2 places to the left or 0.25, place 25 over 100 and reduce to 1/4
Question 17
Write 3/5 as a decimal number and a percent.
1. 0.0166; 1.66%
2. 0.6; 60%
3. 0.15; 15%
4. 0.3; 30%
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Divide the denominator into the numerator: 3÷5 = 0.6. Move the decimal point two places to the right yielding 60%
Question 18
Convert 5/8 to a decimal number and a percent.
1. 1.6; 160%
2. 0.4; 40%
3. 0.625; 62.5%
4. 0.45; 45%
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Dividing the denominator into the numerator: 5÷8=0.625. Move the decimal point two places to the right yielding 62.5%
Question 19
Convert 9/19 to a decimal number rounded off to the nearest tenth, and to a percentage rounded off to the nearest tenth of a percent.
1. 0.5; 47.4%
2. 0.47; 4.8%
3. 0.02; 2.1%
4. 0.4; 47.4%
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Divide the denominator into the numerator. 9÷19 = 0.4736… rounded off to 0.5. Move the decimal point two places to the right yielding 47.4%
Question 20
Write 3/5 as a decimal number and a percent.
1. 1.67; 167%
2. 0.6; 60%
3. 0.167; 16.7%
4. 0.06; 6%
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale:
Question 21
Reduce 36/48 to lowest terms.
1. 12/18
2. 18/24
3. 9/12
4. 3/4
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Divide numerator and denominator by 12 yielding 3/4.
Question 22
Reduce 95/100 to lowest terms.
1. 4/5
2. 19/20
3. 24/25
4. 9.5/10
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Divide numerator and denominator by 5 yielding 19/20.
Question 23
Reduce 24/36 to lowest terms.
1. 12/18
2. 3/4
3. 2/3
4. 6/9
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
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Global Rationale: Divide numerator and denominator by 12 yielding 2/3.
Question 24
Reduce the ratio 18:54 to a fraction in lowest terms.
1. 18/54
2. 1/3
3. 3/4
4. 1/2
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert the ratio to 18/54 and reduce to 1/3.
Question 25
Reduce the ratio 10:75 to a fraction in lowest terms.
1. 1/7.5
2. 5/15
3. 2/15
4. 1/3
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert the ratio to 10/75 and reduce to 2/15.
Question 26
Reduce the ration 12:24 to a fraction in lowest terms.
1. 1/3
2. 6/18
3. 2/4
4. 1/2
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert the ratio to 12/24 and reduce to 1/2.
Question 27
Write 5/8 as an equivalent fraction with 96 in the denominator.
1. 96/154
2. 65/96
3. 60/96
4. 5/96
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: 5/8 × 12/12 = 60/96
Question 28
Write 4/5 as an equivalent fraction with 100 in the denominator.
1. 100/80
2. 5/100
3. 75/100
4. 80/100
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: 4/5 × 20/20 = 80/100
Question 29
Write 17/20 as an equivalent fraction with 100 in the denominator.
1. 85/100
2. 34/100
3. 4/100
4. 100/85
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: 17/20 × 5/5 = 85/100
Question 30
Write 1/5 as an equivalent fraction with 25 in the denominator.
1. 25/5
2. 25/20
3. 5/25
4. 1/25
Correct Answer: 3
Rationale 1:
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Rationale 4:
Global Rationale: 1/5 × 5/5 = 5/25
Question 31
Write 3/4 as an equivalent fraction with 100 in the denominator.
1. 75/100
2. 80/100
3. 100/25
4. 100/75
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: ¾ × 25/25 = 75/100
Question 32
Round off 6.892489 to the hundredths place.
1. 6.9
2. 6.89
3. 6.8
4. 6.892
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: The digit following the hundredths place is 2, so leave 6.89 alone
Question 33
Round off 17.456 to the tenths place.
1. 17.5
2. 17.4
3. 17.46
4. 17.56
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: The digits following the tenths place is 5 so add 1 to 4 yielding 17.5
Question 34
Round off 3.5243 to the tenths place.
1. 3.6
2. 3.4
3. 3.5
4. 3.52
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: The digit following the tenths place is 2 so leave the 5 alone yielding 3.5
Question 35
Round down 9.6723 to the tenths place.
1. 9.7
2. 9.6
3. 9.67
4. 9.72
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: The digit in the tenths place is 6, delete the remaining digits.
Question 36
Round down 4.2894 to the hundredths place.
1. 4.3
2. 4.29
3. 4.28
4. 4.2
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: The digit in the hundredths place is 8, delete the remaining digits.
Question 37
Round down 4.0678 to the tenths place.
1. 4
2. 4.1
3. 4.06
4. 4.07
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: The digit in the tenths place is 1, delete the remaining digits.
Question 38
Add 4.55 and 0.035.
1. 4.9
2. 4.5035
3. 4.585
4. 4.515
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Line up the decimal points and add.
Question 39
Add the following decimal numbers: 10.1 + 3.964.
1. 14.064
2. 13.974
3. 13.064
4. 14.974
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Line up the decimal points and add.
Question 40
Add 4.834 + 3.962 + 1.083.
1. 8.879
2. 9.793
3. 9.879
4. 8.793
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Line up the decimal points and add.
Question 41
Subtract 1.864 from 3.691.
1. 1.827
2. 1.823
3. 2.827
4. 0.827
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Line up the decimal points and subtract.
Question 42
Subtract 0.068 from 5.543.
1. 4.863
2. 5.475
3. 5.863
4. 5.5362
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Line up the decimal points and subtract.
Question 43
Subtract 2.4 from 10.
1. 7.6
2. 12.40
3. 9.76
4. 12.4
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Line up the decimal points and subtract.
Question 44
Solve the following problem: 3.29 × 1.64. Round off the answer to the tenths place.
1. 5.4
2. 5.3
3. 53.4
4. 54.2
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: 3.29 × 1.64 =5.3956 then round off to 5.4
Question 45
Multiply 2.87 by 0.064 and round off to the hundredths place.
1. 0.19
2. 0.183
3. 0.1837
4. 0.18
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: 2.87 × 0.064 = 0.18368 rounded off to the hundredth place is 0.18
Question 46
Multiply 2.4 by 0.5.
1. 1.2
2. 12
3. 0.12
4. 120
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: 2.4 × 0.5 = 1.2
Question 47
Solve the following problem: 0.68 ÷ 0.4.
1. 170
2. 17
3. 1.7
4. 0.17
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point one place to the right on each number, then divide 6.8 by 4 = 1.7
Question 48
Divide 8.6 by 0.5.
1. 1.72
2. .172
3. 17.2
4. 172
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point one place to the right on each number then divide 86 by 5 = 17.2
Question 49
Divide 8.6 by 0.02.
1. 0.172
2. 4.3
3. 430
4. 0.43
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point two places to the right and then divide 860 by 2=430
Question 50
Multiply 0.089 by 1,000.
1. 89
2. 8.9
3. 0.89
4. 0.089
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point three places to the right
Question 51
Multiply 0.84 by 100.
1. 8.4
2. 84
3. 840
4. 0.084
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point two places to the right yielding 84.
Question 52
Multiply 34.2 by 100.
1. 3.42
2. 342
3. 3,420
4. 34,200
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point two places to the right yielding 3420
Question 53
Divide 0.89 by 100.
1. 8.9
2. 0.89
3. 0.089
4. 0.0089
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point two places to the left yielding 0.0089
Question 54
Divide 1.24 by 10.
1. 0.0124
2. 0.124
3. 12.4
4. 124
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point one place to the left yielding 0.124
Question 55
Divide 566.8 by 1,000.
1. 5,668
2. 56.68
3. 5.668
4. 0.5668
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Move the decimal point three places to the left.
Question 56
Write the numbers 0.289, 0.395, 0.0289, and 0.0395 in order of size from smallest to largest. ______
Standard Text:
Correct Answer: 0.0289; 0.0395; 0.289; 0.395
Rationale : Put in a column and line up the decimal points.
Question 57
Write the numbers 0.003, 0.034, 0.38, and 0.0003 in order of size from smallest to largest. ______
Standard Text:
Correct Answer: 0.0003; 0.003; 0.034; 0.38
Rationale : Place the numbers in a column and line up the decimal points.
Question 58
Write the numbers 0.3, 0.4, 0.33, and 0.111 in order of size from smallest to largest. ______
Standard Text:
Correct Answer: 0.111; 0.3; 0.33; 0.4
Rationale : Place the numbers in a column and line up the decimal points.
Question 59
Which is larger: 0.21 or 0.7? ______
Standard Text:
Correct Answer: 0.7
Rationale : 0.7 is larger than 0.21.
Question 60
Which is larger: 2.45 or 2.6? ______
Standard Text:
Correct Answer: 2.6
Rationale : 2.6 is larger than 2.45.
Question 61
Which is largest: 0.3, 0.33, or 0.198? ______
Standard Text:
Correct Answer: 0.33
Rationale : 0.33 is larger than both 0.3 and 0.198.
Question 62
Add 5 7/8 and 3 1/4.
1. 8 3/4
2. 9 1/8
3. 9 1/4
4. 8 1/4
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert both denominators to 8 then add 5 7/8 + 3 2/8 = 8 9/8 = 9 1/8
Question 63
Add 6 1/2 and 2 3/8.
1. 8 7/8
2. 9
3. 8 12/16
4. 9 1/4
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert both denominators to 8 then add 6 4/8 + 2 3/8 = 8 7/8
Question 64
Add 3 3/4 and 7 1/2.
1. 10 1/4
2. 10 3/4
3. 11 1/2
4. 11 1/4
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert both denominators to 4 then add: 3 ¾ + 7 2/4 = 10 5/4 or 11 1/4
Question 65
Subtract 1 3/4 from 2 3/8.
1. 1 3/8
2. 1 5/8
3. 5/8
4. 1
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert both denominators to 8, then subtract 2 3/8 – 1 6/8= 5/8
Question 66
Subtract 1½ from 4 3/4.
1. 4 1/4
2. 3 1/2
3. 2 3/4
4. 3 1/4
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert both denominators to 4, then subtract 4 ¾ – 1 2/4 = 3 ¼
Question 67
Subtract 2 7/8 from 7 1/4.
1. 5 5/8
2. 4 5/8
3. 4 3/8
4. 5 3/8
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Convert both denominators to 8 then subtract 7 2/8 – 2 7/8
Question 68
Solve the following problem and write the answer in lowest terms: 16/21 × 7/8 × 1/2.
1. 112/336
2. 64/147
3. 1/3
4. 1 109/147
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Cancel before multiplying yielding 1/3
Question 69
Solve the following problem and write the answer as a mixed number in lowest terms: 7/8 × 3/4 × 3/16.
1. 63/576
2. 7/64
3. 7/64
4. 63/512
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply the numerators (7 × 3 × 3) = 63. Multiply the denominators (8×4×16) = 512 and place the numerator over the denominator yielding 63/512.
Question 70
Solve the following problem and write the answer in lowest terms: 3/5 × 4/15 × 25/24.
1. 300/1,800
2. 30/180
3. 3/18
4. 1/6
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Cancel before multiplying yielding 1/6
Question 71
Solve the following problem and write the answer as a mixed number in lowest terms: 8/11 ÷ 4/9.
1. 36/99
2. 2/11
3. 1 7/11
4. 1 28/44
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Invert the second fraction and multiply (8/11× 9/4 = 18/11) and change to 1 7/11
Question 72
Solve the following problem and write the answer in lowest terms: 3/4 ÷ 7/8.
1. 21/32
2. 24/32
3. 6/7
4. 24/28
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Invert the second fraction and multiply.
Question 73
Solve the following problem and write the answer as a whole number or fraction in the lowest terms: 3/200 ÷ 11/300.
1. 9/22
2. 3/7
3. 33/6,000
4. 900/2,200
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Invert the second fraction and multiply.
Question 74
Simplify the following complex fraction: 3/4 / 7/8
1. 1/2
2. 2/3
3. 3/4
4. 6/7
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write as a division problem: ¾ ÷ 7/8 invert the second fraction and multiply: ¾ × 8/7 = 6/7
Question 75
Simplify the following complex fraction: 4/5 / 8/9
1. 2/35
2. 9/10
3. 36/40
4. 32/45
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write as a division problem: 4/5 ÷ 8/9, invert the second fraction and multiply.
Question 76
Simplify the following complex fraction: 1/4 / 1/2
1. 1/8
2. 1/4
3. 2
4. 1/2
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write as a division problem: 1/4 ÷ 1/2, invert the second fraction and multiply.
Question 77
Simplify the following complex fraction and write as a mixed number in lowest terms: 4/5 / 3/4
1. 1 1/15
2. 3/5
3. 16/15
4. 12/20
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write as a division problem: 4/5 ÷ 3/4, invert the second fraction and multiply.
Question 78
Simplify the following complex fraction and write in lowest terms: 1/2 / 3/4
1. 3/8
2. 4/6
3. 2/3
4. 1 1/3
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Write as a division problem: 1/2 ÷ 3/4, invert the second fraction and multiply.
Question 79
What is 32% of 25?
1. 800
2. .78
3. 7.8
4. 8
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply 0.32 by 25 yielding 8
Question 80
What is 20% of 19?
1. 38
2. 3.8
3. 98
4. 0.95
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply 0.2 by 19 yielding 3.8
Question 81
What is 80% of 110?
1. 88
2. 1.375
3. 0.72
4. 8800
Correct Answer: 1
Rationale 1:
Rationale 2:
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Rationale 4:
Global Rationale: Multiply 0.8 by 110 yielding 88
Question 82
What is 0.87% of 30?
1. 26.1
2. 0.261
3. 2.9
4. 0.34
Correct Answer: 2
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply 0.0087 by 30 yielding 0.261
Question 83
What is 20% of 50?
1. 0.4
2. 100
3. 10
4. 2.5
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Multiply 0.2 by 50 yielding 10
Question 84
The client was taking 250 mg of ampicillin every six hours. The doctor increased the dosage to 400 mg every six hours. What percentage of change was made in the dosage? ______%
Standard Text:
Correct Answer: 60
Rationale : Fraction of change = change in dose/old dose = 150/250 = .6, or 60% increase in dosage.
Question 85
The client's dosage of Lanoxin (digoxin) was changed from 0.125 mg to 0.5 mg. What percentage was the dosage increased?
1. 0.25 %
2. 40%
3. 400%
4. 300%
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Fraction of change = change in dose/old dose = 0.375/0.125 = 3 0r 300% increase in dosage.
Question 86
A dosage is changed from 4 mg per day to 6 mg per day. Find the percentage of increase.
1. 150%
2. 67%
3. 50%
4. 33%
Correct Answer: 3
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Fraction of change = change in dose/old dose = 2/4 = .5 or 50% increase in dosage.
Question 87
The old price was $19.95. The sale price is $11.97. What is the percentage discount?
1. 20%
2. 40%
3. 60%
4. 80%
Correct Answer: 2
Rationale 1:
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Global Rationale: Fraction of discount = Change in price/old price = 7.98/19.95=0.4 or 40%
Question 88
The client's dosage of Tenormin (atenolol) is reduced from 75 mg to 60 mg. What is the percentage decrease?
1. 67%
2. 15%
3. 150%
4. 20%
Correct Answer: 4
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Fraction of change = change in dose/old dose = 15/75 = .2 or 20% decrease in dosage.
Question 89
A dosage is changed from 12 mg per day to 9 mg per day. What is the percentage decrease?
1. 25%
2. 13%
3. 75%
4. 33%
Correct Answer: 1
Rationale 1:
Rationale 2:
Rationale 3:
Rationale 4:
Global Rationale: Fraction of change = change in dose/old dose = 3/12 = .25 or 25% decrease in dosage.