Ratios & Percent (Foundations)

Core skills for this exam family.

Phase 2 · SAT Math

Ratios & Percent: core idea

Ratio splits:

\frac{a}{a+b}\cdot total

The ratio of red to blue marbles is $3:5$ . If there are $24$ red marbles, how many blue marbles are there?

Hint: Scale by 8. Answer: 40.

1. A $60$ dollar shirt is discounted $25\%$ . What is the sale price?
2. Express $18$ out of $72$ as a percent.
3. A map scale is $1$ inch to $12$ miles. What distance does $3.5$ inches represent?
4. A class has $12$ girls and $8$ boys. What is the ratio of boys to all students in simplest form?
5. Increase $80$ by $15\%$ .
6. A solution has $2$ cups juice and $6$ cups water. What fraction of the mixture is juice?
7. If $5$ notebooks cost $13$ dollars, what is the unit price?
8. A number changes from $50$ to $65$ . What is the percent increase?
9. On a scale drawing, $4$ cm represents $10$ m. How many cm represent $35$ m?