10 Most Common HiSET Math Questions

10 Most Common HiSET Math Questions

Preparing for the HiSET Math test? Want a preview of the most common mathematics questions on the HiSET Math test? If so, then you are in the right place.

The mathematics section of HiSET can be a challenging area for many test-takers, but with enough patience, it can be easy and even enjoyable!

Preparing for the HiSET Math test can be a nerve-wracking experience. Learning more about what you’re going to see when you take the HiSET can help to reduce those pre-test jitters. Here’s your chance to review the 10 most common HiSET Math questions to help you know what to expect and what to practice most. Try these 10 most common HiSET Math questions to hone your mathematical skills and to see if your math skills are up to date on what’s being asked on the exam or if you still need more practice.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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10 Sample HiSET Math Practice Questions

1- The ratio of boys to girls in a school is 2:3. If there are 600 students in a school, how many boys are in the school?

A. 540

B. 360

C. 300

D. 280

E. 240

2- 25 is What percent of 20?

A. \(20 \%\)

B. \(25 \%\)

C. \(125 \%\)

D. \(150 \%\)

E. \(300 \%\)

3- The perimeter of the trapezoid below is 54. What is its area?

A. \(252 cm^2\)

B. \(234 cm^2\)

C. \(216 cm^2\)

D. \(154 cm^2\)

E. \(130 cm^2\)

4- Two-thirds of 18 is equal to \(\frac{2}{5}\) of what number?

A. 12

B. 20

C. 30

D. 60

E. 90

5- The marked price of a computer is D dollar. Its price decreased by \(20\%\) in January and later increased by \(10 \%\) in February. What is the final price of the computer in D dollars?

A. 0.80 D

B. 0.88 D

C. 0.90 D

D. 1.20 D

E. 1.40 D

6- The area of a circle is \(64 π\). What is the circumference of the circle?

A. \(8 π\)

B. \(16 π\)

C. \(32 π\)

D. \(64 π\)

E. \(124 π\)

7- A \($40\) shirt now selling for \($28\) is discounted by what percent?

A. \(20 \%\)

B. \(30 \%\)

C. \(40 \%\)

D. \(60 \%\)

E. \(80 \%\)

8- In 1999, the average worker’s income increased by $2,000 per year starting from $24,000 annual salary. Which equation represents income greater than average? (\(I =\) income, \(x =\) number of years after 1999)

A. \(I > 2000 x + 24000\)

B. \(I > – 2000 x + 24000\)

C. \(I < –2000 x + 24000\)

D. \(I < 2000 x – 24000\)

E. \(I < 24,000 x + 24000\)

9- From last year, the price of gasoline has increased from $1.25 per gallon to $1.75 per gallon. The new price is what percent of the original price?

A. \(72 \%\)

B. \(120 \%\)

C. \(140 \%\)

D. \(160 \%\)

E. \(180 \%\)

10- A boat sails 40 miles south and then 30 miles east. How far is the boat from its start point?

A. 45 miles

B. 50 miles

C. 60 miles

D. 70 miles

E. 80 miles

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Answers:

1- E
The ratio of boys to girls is 2:3. Therefore, there are 2 boys out of 5 students. To find the answer, first, divide the total number of students by 5, then multiply the result by 2.
\(600 ÷ 5 = 120 ⇒ 120 × 2 = 240\)

2- C
Use percent formula:
\(part = \frac{percent}{100} × whole\)
\(25 = \frac{percent}{100} × 20 ⇒ 25 = \frac{percent ×20}{100}\)
\(⇒ 25 = \frac{percent ×2}{10}\)
multiply both sides by 10.
\(4250 = percent ×2, divide \space both \space sides \space by \space 2. \)
\(125 = percent\)

3- E
The perimeter of the trapezoid is 54.
Therefore, the missing side (height) is \(= 54 – 18 – 12 – 14 = 10\)
Area of the trapezoid:
\(A = \frac{1}{2}h (b_{1} + b_{2}) = \frac{1}{2}(10)(12 + 14) = 130\)

4- C
Let \(x\) be the number. Write the equation and solve for \(x\).
\(\frac{2}{3} ×18=\frac{2}{5} ⇒\frac{2×18}{3} = \frac{2x}{5} \)
use cross multiplication to solve for \(x\).
\(5×36=2x×3 ⇒180=6x ⇒ x=30\)

5- B
To find the discount, multiply the number by \((100\% – rate of discount)\).
Therefore, for the first discount we get: (D) \((100\% – 20\%) =\) (D) \((0.80) = 0.80\) D
For increase of \(10 \%:\) (0.85 D) \((100\% + 10\%) =\) (0.85 D) \((1.10) = 0.88\) D \(= 88\%\) of D

6- B
Use the formula of areas of circles.
\(Area = πr^2 ⇒ 64 π = πr^2 ⇒ 64 = r^2 ⇒ r = 8\)
The radius of the circle is 8. Now, use the circumference formula:
Circumference \(= 2πr = 2π (8) = 16 π\)

7- B
Use the formula for Percent of Change
\(\frac{New \space Value-Old \space Value}{Old \space Value}× 100 \%\)
\(\frac{28-40}{40}× 100 \% = –30 \%\)
(negative sign here means that the new price is less than the old price).

8- A
Let \(x\) be the number of years. Therefore, $2,000 per year equals \(2000x\).
starting from $24,000 annual salary means you should add that amount to \(2000x\).
Income more than that is:
\(I > 2000 x + 24000\)

9- C
The question is this: 1.75 is what percent of 1.25?
Use percent formula:
\(part =\frac{percent}{100}× whole\)
\(1.75 =\frac{percent}{100}× 1.25\)
\(1.75 =\frac{percent ×1.25}{100} \)
\(175 = percent ×1.25 ⇒\)
\(percent = \frac{175}{1.25}= 140\)

10- B
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem: \(a^2 + b^2 = c^2\)
\(40^2 + 30^2 = c^2 ⇒ 1600 + 900 = c^2 ⇒ 2500 = c^2 ⇒ c = 50\)

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