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HSPT Math : Decimals

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Example Questions

Example Question #1 : Percentage

A watch originally cost $55.00. If it is on sale for 20% off, what is the sale price of the watch?

Possible Answers:

$\$57.00$ $\displaystyle \$57.00$

$\$66.00$ $\displaystyle \$66.00$

$\$52.55$ $\displaystyle \$52.55$

$\$110.00$ $\displaystyle \$110.00$

$\$44.00$ $\displaystyle \$44.00$

Correct answer:

$\$44.00$ $\displaystyle \$44.00$

Explanation:

To solve:

First, find what is 20% of 55 by multiplying:

$\small 55\cdot .20=11$ $\displaystyle \small 55\cdot .20=11$

Then, subtract 20% (11) from the original price:

$\small 55-11=44$ $\displaystyle \small 55-11=44$

The final sale price will be $44.00.

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Example Question #711 : Hspt Mathematics

Which is largest?

a. 30% of 150

b. 20% of 300

c. 40% of 60

d. 10% of 400

Possible Answers:

$\displaystyle c$

$\displaystyle a$

$\displaystyle b$

$\displaystyle d$

Correct answer:

$\displaystyle b$

Explanation:

To solve:

First find the corresponding percentage of each multiple choice answer,

a) $\small 150\cdot .30= 45$ $\displaystyle \small 150\cdot .30= 45$

b) $\small 300\cdot .20= 60$ $\displaystyle \small 300\cdot .20= 60$

c) $\small 60\cdot .40= 24$ $\displaystyle \small 60\cdot .40= 24$

d) $\small 400\cdot .10= 40$ $\displaystyle \small 400\cdot .10= 40$

Then, compare the amounts and select which amount is the largest:

b) 60

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Example Question #711 : Hspt Mathematics

How do you write $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ as a percent?

Possible Answers:

25%

50%

15%

20%

Correct answer:

20%

Explanation:

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$ is equal to $\frac{20}{100}$ $\displaystyle \frac{20}{100}$, which is 20%.

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Example Question #2 : Percentage

Andrew has completed 80% of the race. If the race is 5000 meters, how far along is Andrew?

Possible Answers:

$4000\ meters$ $\displaystyle 4000\ meters$

$1000\ meters$ $\displaystyle 1000\ meters$

$5000\ meters$ $\displaystyle 5000\ meters$

$2000\ meters$ $\displaystyle 2000\ meters$

$3000\ meters$ $\displaystyle 3000\ meters$

Correct answer:

$4000\ meters$ $\displaystyle 4000\ meters$

Explanation:

Multiply the length of the race by the percentage accomplished by Andrew:

$5000 \ast .80= 4000$ $\displaystyle 5000 \ast .80= 4000$

Answer: Andrew has completed 4000 meters of the race.

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Example Question #3 : Percentage

Which is less?

a. 60% of 10

b. 20% of 40

c. 30% of 20

d. 10% of 50

Possible Answers:

$\displaystyle d$

$\displaystyle a$

$\displaystyle b$

$\displaystyle c$

Correct answer:

$\displaystyle d$

Explanation:

Find the amounts by multiplying each number to the percentage rate:

$a. 10 \ast .60=6$ $\displaystyle a. 10 \ast .60=6$

$b. 40 \ast .20=8$ $\displaystyle b. 40 \ast .20=8$

$c. 20 \ast .30=6$ $\displaystyle c. 20 \ast .30=6$

$d. 50 \ast .10=5$ $\displaystyle d. 50 \ast .10=5$

Compare the amounts to find the least. The answer is D.

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Example Question #671 : Numbers And Operations

A round trip flight is on sale for $425.00. If the flight originally costs $500.00, what percentage was it reduced by?

Possible Answers:

$\displaystyle 12$

$\displaystyle 10$

$\displaystyle 15$

$\displaystyle 20$

Correct answer:

$\displaystyle 15$

Explanation:

Subtract the sale price from the original price:

$\displaystyle 500-425=75$

Divide that amount by the original price to find the percentage of the sale.

$75 \div 500=.15$ $\displaystyle 75 \div 500=.15$

Answer: The flight was reduced by 15%.

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Example Question #4 : How To Find Percentage

Anita is sewing a quilt made of 120 patches. She has sewn together 84 patches already. What percentage of the quilt has Anita sewn?

Possible Answers:

$\displaystyle 36$

$\displaystyle 84$

$\displaystyle 90$

$\displaystyle 70$

Correct answer:

$\displaystyle 70$

Explanation:

Divide 84 by the entire amount of patches 120 to find the percentage completed.

$84 \div 120= .70$ $\displaystyle 84 \div 120= .70$

The answer is Anita has completed 70% of the quilt.

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Example Question #5 : How To Find Percentage

Phil filled up 25 balloons for a party. By the end of the night, only 15 balloons were left; the rest had popped. What percentage of balloons popped throughout the party?

Possible Answers:

$\displaystyle 40$

$\displaystyle 20$

$\displaystyle 30$

$\displaystyle 60$

Correct answer:

$\displaystyle 40$

Explanation:

Subtract $\displaystyle 25-15=10$ to find the amount of balloons that popped.

Then, divide $10\div 25=.4$ $\displaystyle 10\div 25=.4$

The answer: 40% of the balloons popped.

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Example Question #5 : Percentage

A pair of sneakers is on sale for 20% off the original price of $120.00. What is the sale price of the sneakers?

Possible Answers:

$\$144.00$ $\displaystyle \$144.00$

$\$100.00$ $\displaystyle \$100.00$

$\$96.00$ $\displaystyle \$96.00$

$\$140.00$ $\displaystyle \$140.00$

Correct answer:

$\$96.00$ $\displaystyle \$96.00$

Explanation:

First, multiply 120 by 0.20.

$\displaystyle 120*.20=24$

Subtract that amount from the original price:

$\displaystyle 120-24=96$

Answer: The sneaker's sale price is $96.00

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Example Question #1 : Percentage

Carolina needs to complete a 600-word essay for a test she is taking. If she has already written 445 words, what percentage of the essay has she completed? (Round to the nearest percent.)

Possible Answers:

155 $\displaystyle 155$

$\displaystyle 26$

1045 $\displaystyle 1045$

$\displaystyle 74$

Correct answer:

$\displaystyle 74$

Explanation:

Divide the number of words completed by the number of words needed:

$445 \div 600=0.74$ $\displaystyle 445 \div 600=0.74$

Answer: Carolina has completed 74% of the essay.

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HSPT Math : Decimals

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #1 : Percentage

Example Question #711 : Hspt Mathematics

Example Question #711 : Hspt Mathematics

Example Question #2 : Percentage

Example Question #3 : Percentage

Example Question #671 : Numbers And Operations

Example Question #4 : How To Find Percentage

Example Question #5 : How To Find Percentage

Example Question #5 : Percentage

Example Question #1 : Percentage

All HSPT Math Resources

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