SHSAT Math · Ratios & Proportions

Percentages Practice

Percent increase/decrease, discounts, tax, and tips. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

15\%

of a number is

27

, what is the number?

A $170$
B $150$
C $180$
D $200$

Show answer and explanation

Answer: C

Let the number be

x

0.15x = 27

, so

x = \frac{27}{0.15} = 180

. Why wrong: - B (150): Estimated incorrectly. - C (200): Divided

27

by a wrong value. - D (170): Arithmetic error.

Question 2

What is

5\%

100

A $95$
B $5$
C $50$
D $10$

Show answer and explanation

Answer: B

5\%

100

\frac{5}{100} \times 100 = 5

Question 3

A population decreased from

8{,}000

6{,}800

. What is the percent decrease?

A $12\%$
B $17.6\%$
C $15\%$
D $20\%$

Show answer and explanation

Answer: C

Decrease:

8000 - 6800 = 1200

. Percent decrease:

\frac{1200}{8000} \times 100 = 15\%

. Why wrong: - A (12%): Divided by wrong base. - C (17.6%): Divided change by new value

\frac{1200}{6800}

. - D (20%): Arithmetic error.

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Percentages Practice

Free sample questions

Practice every percentages question we have

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