SHSAT Math · Ratios & Proportions

Ratios & Proportions Practice

Set up and solve proportions, scale factors. 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

A nurse needs to administer medicine in a ratio of

2

mL per

10

kg of body weight. How much medicine should a

75

-kg patient receive?

A $20$ mL
B $7.5$ mL
C $15$ mL
D $12$ mL

Show answer and explanation

Answer: C

\frac{2}{10} = \frac{x}{75}

x = \frac{2 \times 75}{10} = 15

mL. Why wrong: - A: Used

\frac{2 \times 60}{10}

. - C: Used

\frac{2 \times 100}{10}

. - D: Divided 75 by 10.

Question 2

3 : 5

is equivalent to

6 : x

, what is the value of

x

A $1$
B $10$
C $15$
D $8$

Show answer and explanation

Answer: B

The first term was multiplied by

2

(

3 \times 2 = 6

), so

x

5 \times 2 = 10

Question 3

\frac{x}{5} = \frac{12}{15}

, what is

x

A $5$
B $6$
C $3$
D $4$

Show answer and explanation

Answer: D

Cross multiply:

15x = 60

, so

x = 4

. Or simplify

\frac{12}{15} = \frac{4}{5}

. Why wrong: - A: Divided 12 by 4 incorrectly. - C: Used denominator. - D: Multiplied incorrectly.

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Ratios & Proportions Practice

Free sample questions

Practice every ratios & proportions question we have

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