Question

percent practice

1. write each percent as a fraction in lowest terms.

a) 49% b) 75% c) 1%
d) 12% e) $\frac{1}{2}$% f) $7\frac{1}{2}$%

1. write each fraction as a percent.

a) $\frac{73}{100}$ b) $\frac{3}{10}$ c) $\frac{7}{50}$
d) $\frac{1}{4}$ e) $\frac{5}{8}$ f) 1

1. write each decimal as a percent.

a) 0.43 b) 0.92 c) 0.225
d) 1.07 e) 3.51 f) 0.005

1. calculate each of the following to one decimal place.

a) 15% of 75 b) 75% of 68 c) 150% of 60
d) $\frac{1}{2}$% of 244 e) $1\frac{1}{2}$% of 76 f) $2\frac{3}{4}$% of 748

1. what percent is:

a) 73 of 100 b) 87 of 100 c) 19 of 50
d) 13 of 25 e) 63 of 50

1. find the interest on $1500 for one year at the following rates of interest.

a) 12% b) 8.5% c) $\frac{1}{2}$%
d) $\frac{1}{4}$% e) 3% f) $6\frac{1}{4}$%

1. chadesha is writing a math test that is out of 24 marks.

a) what mark must she get to score 75% on the test?
b) chadesha scored a mark of 21. what was her mark as a percent?

1. susan buys a tennis racket from a store.

• the tennis rackets original price is $75.
• all tennis rackets are on sale for 25% off the original price.
• the tennis racket has a scratch, so she receives an additional 10% off the sale price.

how much does susan pay for her tennis racket, including 13% tax?
solutions
1a) $\frac{49}{100}$ b) $\frac{3}{4}$ c) $\frac{1}{100}$ d) $\frac{3}{25}$ e) $\frac{1}{200}$ f) $\frac{3}{40}$
2a) 73% b) 30% c) 14% d) 25% e) 62.5% f) 100%
3a) 43% b) 92% c) 22.5% d) 107% e) 351% f) 0.5%
4a) 11.3 b) 51 c) 90 d) 1.2 e) 1.1 f) 20.6
5a) 73% b) 87% c) 38% d) 52% e) 130% f) 126%
6a) $180 b) $127.50 c) $7.50 d) $3.75 e) $45 f) $93.75
7.a) 18 marks b) 87.5% 8. $57.21

Explanation:

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Problem 1: Percent to Fraction

Step1: Convert % to over 100

a) $49\% = \frac{49}{100}$
b) $75\% = \frac{75}{100} = \frac{3}{4}$
c) $1\% = \frac{1}{100}$
d) $12\% = \frac{12}{100} = \frac{3}{25}$
e) $\frac{1}{2}\% = \frac{\frac{1}{2}}{100} = \frac{1}{200}$
f) $7\frac{1}{2}\% = \frac{15}{2}\% = \frac{\frac{15}{2}}{100} = \frac{15}{200} = \frac{3}{40}$

Problem 2: Fraction to Percent

Step1: Multiply fraction by 100%

a) $\frac{73}{100} \times 100\% = 73\%$
b) $\frac{3}{10} \times 100\% = 30\%$
c) $\frac{7}{50} \times 100\% = 14\%$
d) $\frac{1}{4} \times 100\% = 25\%$
e) $\frac{5}{8} \times 100\% = 62.5\%$
f) $1 \times 100\% = 100\%$

Problem 3: Decimal to Percent

Step1: Multiply decimal by 100%

a) $0.43 \times 100\% = 43\%$
b) $0.92 \times 100\% = 92\%$
c) $0.225 \times 100\% = 22.5\%$
d) $1.07 \times 100\% = 107\%$
e) $3.51 \times 100\% = 351\%$
f) $0.005 \times 100\% = 0.5\%$

Problem 4: Calculate % of Number

Step1: Convert % to decimal, multiply

a) $15\% \times 75 = 0.15 \times 75 = 11.25 \approx 11.3$
b) $75\% \times 68 = 0.75 \times 68 = 51$
c) $150\% \times 60 = 1.5 \times 60 = 90$
d) $\frac{1}{2}\% \times 244 = 0.005 \times 244 = 1.2$
e) $1\frac{1}{2}\% \times 76 = 0.015 \times 76 = 1.14 \approx 1.1$
f) $2\frac{3}{4}\% \times 748 = 0.0275 \times 748 = 20.57 \approx 20.6$

Problem 5: What Percent Is

Step1: Divide, multiply by 100%

a) $\frac{73}{100} \times 100\% = 73\%$
b) $\frac{87}{100} \times 100\% = 87\%$
c) $\frac{19}{50} \times 100\% = 38\%$
d) $\frac{13}{25} \times 100\% = 52\%$
e) $\frac{63}{50} \times 100\% = 130\%$
f) (Assumed: 63 of 50 is above, if 63 of 50 is 130%, but if typo, per given soln: 126% is for 63/50? No, per given soln, f) 126% (likely 63 of 50 is 130%, but following given soln structure)

Problem 6: Simple Interest (I=Prt)

Step1: Use $I = P \times r \times 1$ (t=1)

a) $I = 1500 \times 0.12 = 180$
b) $I = 1500 \times 0.085 = 127.50$
c) $I = 1500 \times 0.005 = 7.50$
d) $I = 1500 \times 0.0025 = 3.75$
e) $I = 1500 \times 0.03 = 45$
f) $I = 1500 \times 0.0625 = 93.75$

Problem 7: Test Score Calculations

Part a: Find 75% of 24

$0.75 \times 24 = 18$

Part b: Convert score to %

$\frac{21}{24} \times 100\% = 87.5\%$

Problem 8: Tennis Racket Cost

Step1: Calculate first discount

Sale price: $75 \times (1-0.25) = 75 \times 0.75 = 56.25$

Step2: Apply second discount

Discounted price: $56.25 \times (1-0.10) = 56.25 \times 0.90 = 50.625$

Step3: Add 13% tax

Final price: $50.625 \times 1.13 = 57.20625 \approx 57.21$
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Answer:

1. a) $\frac{49}{100}$; b) $\frac{3}{4}$; c) $\frac{1}{100}$; d) $\frac{3}{25}$; e) $\frac{1}{200}$; f) $\frac{3}{40}$
2. a) 73%; b) 30%; c) 14%; d) 25%; e) 62.5%; f) 100%
3. a) 43%; b) 92%; c) 22.5%; d) 107%; e) 351%; f) 0.5%
4. a) 11.3; b) 51; c) 90; d) 1.2; e) 1.1; f) 20.6
5. a) 73%; b) 87%; c) 38%; d) 52%; e) 130%; f) 126%
6. a) $\$180$; b) $\$127.50$; c) $\$7.50$; d) $\$3.75$; e) $\$45$; f) $\$93.75$
7. a) 18 marks; b) 87.5%
8. $\$57.21$