Arithmetic Fundamentals: Concepts and Rules (Interactive Math Quiz)

Arithmetic Fundamentals: Interactive Math Quiz

Test your knowledge of fractions, decimals, and basic arithmetic operations with this 30-question quiz! Select an answer for each question and submit to see your score and explanations.

Question 1

What is the numerator in the fraction \(\frac{3}{5}\)?

Select an option 2 3 5 8

Answer: B) 3 (The numerator is the top number, representing the parts taken from the whole.)

Question 2

What is the denominator in the fraction \(\frac{7}{9}\)?

Select an option 7 9 4 2

Answer: B) 9 (The denominator is the bottom number, showing how many equal parts the whole is divided into.)

Question 3

Which of the following is a proper fraction?

Select an option \(\frac{6}{4}\) \(\frac{2}{7}\) \(\frac{5}{3}\) \(\frac{8}{6}\)

Answer: B) \(\frac{2}{7}\) (A proper fraction has a numerator smaller than the denominator.)

Question 4

Which of the following is an improper fraction?

Select an option \(\frac{1}{3}\) \(\frac{9}{2}\) \(\frac{4}{5}\) \(\frac{3}{8}\)

Answer: B) \(\frac{9}{2}\) (An improper fraction has a numerator greater than or equal to the denominator.)

Question 5

Convert the improper fraction \(\frac{7}{2}\) to a mixed number.

Select an option \(\frac{2}{1}\) \(3 \frac{1}{2}\) \(2 \frac{3}{2}\) \(3 \frac{2}{3}\)

Answer: B) \(3 \frac{1}{2}\) (Divide 7 by 2: 2 goes into 7 three times (6), with a remainder of 1, so \(3 \frac{1}{2}\).)

Question 6

What is the mixed fraction form of \(\frac{13}{4}\)?

Select an option \(3 \frac{1}{4}\) \(4 \frac{1}{4}\) \(3 \frac{3}{4}\) \(2 \frac{1}{4}\)

Answer: A) \(3 \frac{1}{4}\) (13 divided by 4 is 3 with a remainder of 1.)

Question 7

What does the decimal 0.6 represent as a fraction in simplest form?

Select an option \(\frac{1}{2}\) \(\frac{3}{5}\) \(\frac{2}{3}\) \(\frac{4}{5}\)

Answer: B) \(\frac{3}{5}\) (0.6 is 6/10, which simplifies to 3/5 by dividing numerator and denominator by 2.)

Question 8

Which decimal is equivalent to \(\frac{1}{5}\)?

Select an option 0.15 0.2 0.25 0.5

Answer: B) 0.2 (1 divided by 5 equals 0.2.)

Question 9

Add the fractions \(\frac{1}{3} + \frac{1}{6}\). Express the result in simplest form.

Select an option \(\frac{1}{3}\) \(\frac{1}{2}\) \(\frac{2}{3}\) \(\frac{3}{6}\)

Answer: B) \(\frac{1}{2}\) (Common denominator is 6: \(\frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}\).)

Question 10

Subtract \(\frac{5}{8} - \frac{3}{8}\).

Select an option \(\frac{2}{8}\) \(\frac{8}{8}\) \(\frac{1}{4}\) \(\frac{2}{16}\)

Answer: A) \(\frac{2}{8}\) (Subtract numerators: 5 - 3 = 2, keep denominator 8. Can simplify to \(\frac{1}{4}\), but \(\frac{2}{8}\) is direct.)

Question 11

Multiply \(\frac{2}{3} \times \frac{3}{5}\). Simplify the result.

Select an option \(\frac{6}{15}\) \(\frac{2}{5}\) \(\frac{5}{8}\) \(\frac{1}{3}\)

Answer: B) \(\frac{2}{5}\) (Multiply numerators: 2 × 3 = 6; denominators: 3 × 5 = 15. Simplify 6/15 by dividing by 3.)

Question 12

What is the value of \(0.4 + 0.7\)?

Select an option 0.9 1.0 1.1 1.2

Answer: C) 1.1 (Add the decimals: 0.4 + 0.7 = 1.1.)

Question 13

Convert the mixed number \(2 \frac{3}{4}\) to an improper fraction.

Select an option \(\frac{9}{4}\) \(\frac{11}{4}\) \(\frac{7}{4}\) \(\frac{10}{4}\)

Answer: B) \(\frac{11}{4}\) (Multiply 2 × 4 = 8, add 3 = 11, so \(\frac{11}{4}\).)

Question 14

Which fraction is equivalent to \(\frac{4}{6}\)?

Select an option \(\frac{2}{3}\) \(\frac{3}{4}\) \(\frac{1}{2}\) \(\frac{5}{6}\)

Answer: A) \(\frac{2}{3}\) (Simplify \(\frac{4}{6}\) by dividing numerator and denominator by 2.)

Question 15

What is \(0.25\) as a fraction in simplest form?

Select an option \(\frac{1}{4}\) \(\frac{2}{5}\) \(\frac{1}{5}\) \(\frac{3}{8}\)

Answer: A) \(\frac{1}{4}\) (0.25 is 25/100, which simplifies to 1/4 by dividing by 25.)

Question 16

Divide \(\frac{1}{2} \div \frac{1}{4}\). Simplify the result.

Select an option 1 2 \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer: B) 2 (Divide by a fraction by multiplying by its reciprocal: \(\frac{1}{2} \times \frac{4}{1} = \frac{4}{2} = 2\).)

Question 17

What is the decimal equivalent of \(\frac{3}{8}\)?

Select an option 0.375 0.38 0.3 0.4

Answer: A) 0.375 (Divide 3 by 8: 3 ÷ 8 = 0.375.)

Question 18

Add \(1 \frac{1}{2} + \frac{3}{4}\). Express as a mixed number.

Select an option \(1 \frac{3}{4}\) \(2 \frac{1}{4}\) \(2 \frac{1}{2}\) \(1 \frac{1}{2}\)

Answer: B) \(2 \frac{1}{4}\) (Convert \(1 \frac{1}{2} = \frac{3}{2} = \frac{6}{4}\). Then \(\frac{6}{4} + \frac{3}{4} = \frac{9}{4} = 2 \frac{1}{4}\).)

Question 19

Subtract \(0.9 - 0.4\).

Select an option 0.3 0.4 0.5 0.6

Answer: C) 0.5 (Subtract the decimals: 0.9 - 0.4 = 0.5.)

Question 20

Which is larger: \(\frac{2}{5}\) or \(\frac{3}{7}\)?

Select an option \(\frac{2}{5}\) \(\frac{3}{7}\) \(\frac{1}{2}\) \(\frac{4}{9}\)

Answer: B) \(\frac{3}{7}\) (Compare by finding a common denominator, 35: \(\frac{2}{5} = \frac{14}{35}\), \(\frac{3}{7} = \frac{15}{35}\). Since 15 > 14, \(\frac{3}{7}\) is larger.)

Question 21

What is the mixed number form of \(\frac{19}{6}\)?

Select an option \(3 \frac{1}{6}\) \(2 \frac{1}{6}\) \(3 \frac{3}{6}\) \(2 \frac{5}{6}\)

Answer: A) \(3 \frac{1}{6}\) (Divide 19 by 6: 6 goes into 19 three times (18), remainder 1.)

Question 22

Multiply \(0.2 \times 0.5\).

Select an option 0.1 0.2 0.3 0.4

Answer: A) 0.1 (Multiply the decimals: 0.2 × 0.5 = 0.10 = 0.1.)

Question 23

Which fraction is equivalent to 0.8?

Select an option \(\frac{4}{5}\) \(\frac{2}{3}\) \(\frac{3}{4}\) \(\frac{1}{2}\)

Answer: A) \(\frac{4}{5}\) (0.8 = 8/10, simplifies to 4/5.)

Question 24

Add \(\frac{5}{6} + \frac{2}{3}\). Simplify the result.

Select an option \(\frac{7}{9}\) \(\frac{3}{2}\) \(\frac{2}{3}\) \(\frac{5}{6}\)

Answer: B) \(\frac{3}{2}\) (Common denominator is 6: \(\frac{5}{6} + \frac{4}{6} = \frac{9}{6} = \frac{3}{2}\).)

Question 25

Subtract \(2 \frac{1}{3} - 1 \frac{2}{3}\).

Select an option \(\frac{1}{3}\) \(\frac{2}{3}\) \(1 \frac{1}{3}\) \(1 \frac{2}{3}\)

Answer: B) \(\frac{2}{3}\) (Convert to improper fractions: \(\frac{7}{3} - \frac{5}{3} = \frac{2}{3}\).)

Question 26

What is the decimal equivalent of \(\frac{7}{20}\)?

Select an option 0.25 0.35 0.45 0.55

Answer: B) 0.35 (Divide 7 by 20: 7 ÷ 20 = 0.35.)

Question 27

Divide \(\frac{3}{5} \div \frac{2}{5}\).

Select an option \(\frac{6}{25}\) \(\frac{3}{2}\) \(\frac{2}{3}\) 1

Answer: B) \(\frac{3}{2}\) (Multiply by reciprocal: \(\frac{3}{5} \times \frac{5}{2} = \frac{15}{10} = \frac{3}{2}\).)

Question 28

Convert \(4 \frac{2}{5}\) to an improper fraction.

Select an option \(\frac{18}{5}\) \(\frac{22}{5}\) \(\frac{20}{5}\) \(\frac{16}{5}\)

Answer: B) \(\frac{22}{5}\) (Multiply 4 × 5 = 20, add 2 = 22, so \(\frac{22}{5}\).)

Question 29

Multiply \(\frac{1}{2} \times 0.6\). Express as a decimal.

Select an option 0.2 0.3 0.4 0.5

Answer: B) 0.3 (\(\frac{1}{2} = 0.5\), then 0.5 × 0.6 = 0.3.)

Question 30

Which fraction is equivalent to \(\frac{6}{9}\)?

Select an option \(\frac{2}{3}\) \(\frac{3}{4}\) \(\frac{1}{2}\) \(\frac{4}{6}\)

Answer: A) \(\frac{2}{3}\) (Simplify \(\frac{6}{9}\) by dividing by 3.)

Quiz Results

Submit your answers to see your score and explanations above!

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