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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #157 : Fractions

Add the fractions:

$\frac{5}{25}+\frac{12}{25}=$

Possible Answers:

$\frac{17}{25}$

$\frac{7}{25}$

Correct answer:

$\frac{17}{25}$

Explanation:

Add the numerators and leave the denominator the same:

$\frac{5}{25}+\frac{12}{25}=\frac{17}{25}$

Answer: $\frac{17}{25}$

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Example Question #158 : Fractions

Add:

$\frac{2}{13}+\frac{4}{13}=$

Possible Answers:

$\frac{2}{13}$

$\frac{6}{13}$

Correct answer:

$\frac{6}{13}$

Explanation:

Add the numerators and leave the denominator the same:

$\frac{2}{13}+\frac{4}{13}=\frac{6}{13}$

Answer: $\frac{6}{13}$

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Example Question #73 : How To Add Fractions

The time is now 10:38 PM. What time will it be in two hours and fifty-two minutes?

Possible Answers:

$1:30 \textrm{ AM}$

$1:20 \textrm{ AM}$

$12:30 \textrm{ AM}$

$1:40 \textrm{ AM}$

$12:40 \textrm{ AM}$

Correct answer:

$1:30 \textrm{ AM}$

Explanation:

It is now 10:38 PM. In 60-38 = 22 minutes, it will be 11:00 PM; in 52-22 = 30 minutes, the minutes will read 30, so the time will be 11:30 PM. In another two hours, the hours will read

$11+ 2 \mod 12 = 13 \mod 12 = 1$ ,

so the time will be 1:30 AM.

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Example Question #57 : How To Add Fractions

Solve the expression.

$24(\frac{1}{12}+\frac{5}{6})$

Possible Answers:

None of these

Correct answer:

Explanation:

Start by solving for the term in parenthesis. We will need to find the least common denominator in order to add the fractions. Since 6 can be multiplied by 2 to get 12, 12 must be the least common denominator.

Convert the fractions so that they share a denominator of 12.

$\frac{5}{6}\times\frac{2}{2}=\frac{10}{12}$

$24(\frac{1}{12}+\frac{5}{6})=24(\frac{1}{12}+\frac{10}{12})$

Add the fractions in parenthesis.

$24(\frac{1+10}{12})=24(\frac{11}{12})$

Multiply.

$24(\frac{11}{12})=\frac{24}{1}\times\frac{11}{12}=\frac{24\times11}{1\times12}=\frac{264}{12}$

You can then simplify the fraction be removing 12 from both the numerator and denominator.

$\frac{264}{12}=\frac{264\div12}{12\div12}=\frac{22}{1}=22$

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Example Question #1392 : Ssat Middle Level Quantitative (Math)

Which of the following is the sum of five-sevenths and one-half?

Possible Answers:

$\frac{17}{14}$

The correct answer is not among the other responses.

$\frac{8}{7}$

$\frac{15}{14}$

$\frac{9}{7}$

Correct answer:

$\frac{17}{14}$

Explanation:

Since GCF (2,7)= 14 , express each fraction as its equivalent in fourteenths, and add the numerators, as follows:

$\frac{5}{7} + \frac{1}{2} = \frac{5 \times 2}{7 \times 2} + \frac{7 \times 1}{7 \times 2} = \frac{10}{14} + \frac{7 }{14} = \frac{10+7}{14} = \frac{17}{14}$

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Example Question #1393 : Ssat Middle Level Quantitative (Math)

Add the fractions:

$\frac{6}{58}+\frac{19}{58}=$

Possible Answers:

$\frac{25}{58}$

$\frac{11}{58}$

Correct answer:

$\frac{25}{58}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{6}{58}+\frac{19}{58}=\frac{25}{58}$

Answer: $\frac{25}{58}$

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Example Question #1394 : Ssat Middle Level Quantitative (Math)

Which of the following is the sum of seven tenths and seventeen hundredths?

Possible Answers:

0.24

0.717

2.4

0.087

0.87

Correct answer:

0.87

Explanation:

Seven tenths is equal to 0.7; seventeen hundredths is equal to 0.17. Add them, rewriting 0.7 as 0.70:

0.70

$\underline{+ \; 0.17 }$

0.87

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Example Question #1395 : Ssat Middle Level Quantitative (Math)

Add:

$\frac{6}{61}+\frac{11}{61}=$

Possible Answers:

$\frac{17}{61}$

$\frac{61}{17}$

$\frac{66}{61}$

$\frac{5}{61}$

Correct answer:

$\frac{17}{61}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{6}{61}+\frac{11}{61}=\frac{17}{61}$

Answer:

$\frac{17}{61}$

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Example Question #1401 : Ssat Middle Level Quantitative (Math)

Add:

$\frac{3}{27}+\frac{10}{27}=$

Possible Answers:

$\frac{7}{27}$

$\frac{10}{27}$

$\frac{3}{27}$

$\frac{13}{27}$

Correct answer:

$\frac{13}{27}$

Explanation:

To solve, add the numerators and leave the denominators the same:

$\frac{3}{27}+\frac{10}{27}=\frac{13}{27}$

Answer:

$\frac{13}{27}$

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Example Question #731 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Joe paited $\frac{3}{10}$ of the fence an Sara painted $\frac{1}{2}$ . How much of the fence is painted?

Possible Answers:

$\frac{9}{10}$

$\frac{7}{10}$

$\frac{4}{5}$

$\frac{3}{7}$

$\frac{4}{12}$

Correct answer:

$\frac{4}{5}$

Explanation:

$\frac{3}{10}+\frac{1}{2}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{3}{10 }+\frac{5}{10}=\frac{8}{10}$

$\frac{8}{10}$ can be reduced be dividing both sides by .

$\frac{8}{10} \div\frac{2}{2}=\frac{4}{5}$

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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #157 : Fractions

Example Question #158 : Fractions

Example Question #73 : How To Add Fractions

Example Question #57 : How To Add Fractions

Example Question #1392 : Ssat Middle Level Quantitative (Math)

Example Question #1393 : Ssat Middle Level Quantitative (Math)

Example Question #1394 : Ssat Middle Level Quantitative (Math)

Example Question #1395 : Ssat Middle Level Quantitative (Math)

Example Question #1401 : Ssat Middle Level Quantitative (Math)

Example Question #731 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

All SSAT Middle Level Math Resources

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