Question 1

LEVEL 3

What is 35\% of 120?

Select your answer from the list below:

A: 42

B: 78

C: 35

D: 40

 

CORRECT ANSWER: A: 42

 

WORKED SOLUTION:

0.35\times120=42

Question 2

LEVEL 3

Convert 0.72 to a fraction in its simplest form.

Select your answer from the list below:

A: \dfrac{7}{10}

B: \dfrac{4}{7}

C: \dfrac{18}{25}

D: \dfrac{53}{76}

CORRECT ANSWER:C: \dfrac{18}{25}

WORKED SOLUTION:

0.72 =\dfrac{72}{100}=\dfrac{18}{25}

Question 3

LEVEL 3

Find \dfrac{3}{8} of 72.

Select your answer from the list below:

A: 32

B: 27

C: 26

D: 38

CORRECT ANSWER:  B: 27

WORKED SOLUTION:

Divide 72 by 8 the denominator 72\div8=9

Multiply 9 by 3; in other words 9\times3=27

Answer = 27

Question 4

LEVEL 3

Find \dfrac{13}{25} as a percentage.

Select your answer from the list below:

A: 13

B: 52

C: 47

D: 54

CORRECT ANSWER:  B: 52

WORKED SOLUTION:

When the fraction is proper, the percentage will always between 0\% and 100\%.

Note: If the fraction is improper, first convert it to a mix fraction. The integer will determine the value of the hundred’s digit, while the proper fraction left will then be converted.

Divide 100 by the denominator 100\div25=4

Multiply the answer by the numerator 13\times4=52 i.e. 52\%

Answer = 52\%

Remember to write the percentage sign to signify that it is a percentage figure.

Question 5

LEVEL 3

What is 18\% of 150?

Select your answer from the list below:

A: 18

B: 27

C: 8

D: 32

CORRECT ANSWER: B: 27

WORKED SOLUTION:

Convert the percentage to a decimal: 18\%=0.18

Multiple the decimal equivilant by tge number, 0.18\times150=27

Question 6

LEVEL 3

What is \dfrac{7}{8} of 64?

Select your answer from the list below:

A: 73

B: 65

C: 56

D: 78

CORRECT ANSWER:  C: 56

WORKED SOLUTION:

Divide 64 by 8 the denominator 64\div8=8

Multiply 8 by 7; in other words 8\times7=56

Answer = 56

Question 7

LEVEL 3

Convert 56\% into a fraction in its lowest terms.

Select your answer from the list below:

A: \dfrac{56}{99}

B: \dfrac{27}{50}

C: \dfrac{14}{25}

D: \dfrac{16}{23}

CORRECT ANSWER: C: \dfrac{14}{25}

WORKED SOLUTION:

Divide the percentage number by 100 to make it a proper fraction 56\div100=\dfrac{56}{100}

Simplify by dividing both numerator and denominator by the same integer (in this case) 4 i.e. \dfrac{56}{100}=\dfrac{14}{25}

Answer = \dfrac{14}{25}

Question 8

LEVEL 3

Convert 0.625 to a fraction in its simplest terms.

Select your answer from the list below:

A: \dfrac{8}{22}

B: \dfrac{5}{8}

C: \dfrac{6}{13}

D: \dfrac{8}{11}

CORRECT ANSWER:B: \dfrac{5}{8}

WORKED SOLUTION:

\dfrac{625}{1000}=\dfrac{5}{8}