Fractions & Rational Expressions — Quiz 1

Practice Fractions & Rational Expressions — Quiz 1 on The School of Mathematics (Fractions & Rational Expressions) with 12 scored questions at Fundamental level. This set covers problems such as: “All of the following are less than \frac{4}{9} EXCEPT:”; “What is the simplified form of \frac{24}{\sqrt{3}} ?”; “Calculate the value of \frac{4}{\frac{2}{3}+\frac{1}{6}}”. Work carefully, check explanations for misses, then retake to track improvement before test day.

Questions
12
Level
Fundamental
Category
Fractions & Rational Expressions

Questions in this quiz (12)

  1. All of the following are less than $$\frac{4}{9}$$ EXCEPT:

    • $$\frac{3}{8}$$
    • $$\frac{2}{5}$$
    • $$0.42$$
    • $$\frac{5}{11}$$
  2. What is the simplified form of $$\frac{24}{\sqrt{3}}$$?

    • $$8\sqrt{3}$$
    • $$24\sqrt{3}$$
    • $$3\sqrt{3}$$
    • $$3\sqrt{2}$$
  3. Calculate the value of $$\frac{4}{\frac{2}{3}+\frac{1}{6}}$$

    • $$\frac{12}{7}$$
    • $$\frac{4}{3}$$
    • $$\frac{24}{5}$$
    • $$\frac{12}{11}$$
  4. What is $$\frac{3}{8}$$ of 64?

    • 32
    • 24
    • 48
    • 12
  5. Simplify: $$\frac{a}{1+a}-\frac{b}{1+b}$$

    • $$\frac{a+b}{(1+a)(1+b)}$$
    • $$\frac{a-b}{(1-a)(1-b)}$$
    • $$\frac{a-b}{(1+a)(1+b)}$$
    • $$\frac{a-b}{(1+a)(1-b)}$$
  6. The basketball team played a full season. They won $$\frac{3}{5}$$ of their games and tied $$\frac{1}{10}$$ of the games. What fraction of the games did they lose?

    • $$\frac{4}{5}$$
    • $$\frac{4}{10}$$
    • $$\frac{7}{10}$$
    • $$\frac{3}{10}$$
  7. The mixed number $$12\frac{5}{6}$$ is equivalent to:

    • $$\frac{77}{6}$$
    • $$\frac{5}{6}$$
    • $$\frac{7}{6}$$
    • $$\frac{11}{6}$$
  8. What is the value of: $$\frac{1}{4} + \frac{1}{3} + \frac{1}{6}$$?

    • $$\frac{3}{4}$$
    • $$\frac{1}{12}$$
    • $$\frac{3}{72}$$
    • $$\frac{7}{4}$$
  9. If a woman's weekly income is $$M$$ and she puts aside $$N$$ for savings, what part of her weekly income does she use for expenses?

    • $$\frac{M-N}{N}$$
    • $$M-N$$
    • $$\frac{M-N}{M}$$
    • $$\frac{M+N}{N}$$
  10. How many eighths are there in $$45\frac{1}{2}$$?

    • 364
    • 728
    • 91
    • 45
  11. Write $$\frac{5}{8}\%$$ as a decimal.

    • $$0.000625$$
    • $$0.00625$$
    • $$0.0625$$
    • $$0.625$$
  12. The expression $$\frac{x^2-9}{3x}$$ is equivalent to what?

    • $$\frac{(x-3)(x+3)}{x}$$
    • $$\frac{(x+3)^2}{3x}$$
    • $$\frac{x}{3}-\frac{3}{x}$$
    • $$\frac{\sqrt{(x+3)}}{3x}$$
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Frequently asked questions

How many questions are in Fractions & Rational Expressions — Quiz 1?

This practice set includes 12 questions. Finish in one sitting when possible, then review incorrect answers before retaking.

What topic does Fractions & Rational Expressions — Quiz 1 cover?

Fractions & Rational Expressions — Quiz 1 focuses on Fractions & Rational Expressions. Questions follow exam-style wording and difficulty so you can practice the skills tested on major Fractions & Rational Expressions assessments. These are practice materials, not official exam questions.

How is Fractions & Rational Expressions — Quiz 1 scored?

Your score is the percentage of correct answers. A typical passing score is 100%. After you finish, review each miss with the available explanations on The School of Mathematics.

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