Math Essentials: 16 MCQs with answers

All 16 multiple-choice questions from this kit, free and with no sign-up.

Full kit · everything Flashcards · 40

Warm-up · 8 questions

Q1. What is $15 + 27$?

Beginner

A 42

B 52

C 32

D 40

Show the answer

A · 42

Adding 15 and 27 gives 42.

Q2. Which fraction is equivalent to $\frac{2}{3}$?

Beginner

A $\frac{6}{9}$

B $\frac{4}{9}$

C $\frac{5}{6}$

D $\frac{3}{4}$

Show the answer

A · $\frac{6}{9}$

$\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}$.

Q3. What is $0.75$ as a fraction in simplest form?

Beginner

A $\frac{3}{4}$

B $\frac{7}{10}$

C $\frac{1}{2}$

D $\frac{2}{3}$

Show the answer

A · $\frac{3}{4}$

$0.75 = \frac{75}{100} = \frac{3}{4}$.

Q4. What is $20\%$ of $150$?

Beginner

A 30

B 50

C 40

D 20

Show the answer

A · 30

$20\%$ of $150 = 0.20 \times 150 = 30$.

Q5. What is the area of a rectangle with length $8$ cm and width $5$ cm?

Beginner

A $80$ cm$^2$

B $40$ cm$^2$

C $13$ cm$^2$

D $26$ cm$^2$

Show the answer

B · $40$ cm$^2$

Area of a rectangle = length × width = $8 \times 5 = 40$ cm$^2$.

Q6. Which of the following is a prime number?

Beginner

A 7

B 21

C 9

D 15

Show the answer

A · 7

7 has only two factors: 1 and 7. The others are composite.

Q7. What is the perimeter of a square with side length $6$ cm?

Beginner

A $12$ cm

B $18$ cm

C $24$ cm

D $36$ cm

Show the answer

C · $24$ cm

Perimeter of a square = $4 \times$ side = $4 \times 6 = 24$ cm.

Q8. The sum of two odd numbers is always even.

Beginner

A True

B False

Show the answer

A · True

For example, $3 + 5 = 8$, which is even. In general, odd + odd = even.

Building up · 8 questions

Q9. Solve for $x$: $2x + 5 = 13$.

Intermediate

A $x = 5$

B $x = 6$

C $x = 4$

D $x = 3$

Show the answer

C · $x = 4$

Subtract 5: $2x = 8$, then divide by 2: $x = 4$.

Q10. What is the mean of the numbers $4, 8, 6, 10, 2$?

Intermediate

A 8

B 6

C 7

D 5

Show the answer

B · 6

Mean = $(4+8+6+10+2)/5 = 30/5 = 6$.

Q11. What is $\frac{1}{2} + \frac{1}{3}$?

Intermediate

A $\frac{1}{6}$

B $\frac{5}{6}$

C $\frac{2}{5}$

D $\frac{3}{5}$

Show the answer

B · $\frac{5}{6}$

Common denominator 6: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$.

Q12. What is $0.6 \times 0.4$?

Intermediate

A 0.24

B 2.4

C 24

D 0.024

Show the answer

A · 0.24

$6 \times 4 = 24$, and there are two decimal places, so $0.24$.

Q13. If a shirt costs $\$40$ and is on sale for $25\%$ off, what is the sale price?

Intermediate

A $\$10$

B $\$30$

C $\$35$

D $\$25$

Show the answer

B · $\$30$

Discount = $25\%$ of $\$40 = \$10$. Sale price = $\$40 - \$10 = \$30$.

Q14. Simplify: $3(x + 2) - 4$.

Intermediate

A $3x + 2$

B $3x + 2$

C $3x + 2$

D $3x + 6$

Show the answer

Distribute: $3x + 6 - 4 = 3x + 2$.

Q15. What is the median of the data set $3, 7, 5, 9, 11$?

Intermediate

A 7

B 5

C 9

D 11

Show the answer

A · 7

Arrange in order: 3, 5, 7, 9, 11. The middle value is 7.

Q16. The mode of a data set is always one of the numbers in the set.

Intermediate

A True

B False

Show the answer

A · True

The mode is the most frequent value, so it must be a member of the data set.

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