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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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All SSAT Middle Level Math Resources

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Example Questions

Example Question #71 : How To Find Mean

Find the mean for this set of numbers:

$\displaystyle 41, 44, 40, 46, 49$

Possible Answers:

$\displaystyle 40$

$\displaystyle 44$

$\displaystyle 45$

$\displaystyle 46$

46.5 $\displaystyle 46.5$

Correct answer:

$\displaystyle 44$

Explanation:

First add all the numbers from the set:

$\displaystyle 41+44+ 40+ 46+49=220$

Then divide by the amount of numbers in the set:

$220\div 5=44$ $\displaystyle 220\div 5=44$

Answer: $\displaystyle 44$

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Example Question #321 : Data Analysis

What is the mean of the set?

$\displaystyle 8.5, 12, 6, 7.5$

Possible Answers:

$\displaystyle 8$

8.5 $\displaystyle 8.5$

$\displaystyle 3$

$\displaystyle 9$

Correct answer:

8.5 $\displaystyle 8.5$

Explanation:

The mean of a set is found by dividing the sum of the set by the number of items in the set. This gives us the equation:

$\frac{8.5+12+6+7.5}{4}$ $\displaystyle \frac{8.5+12+6+7.5}{4}$

$\frac{34}{4}$ $\displaystyle \frac{34}{4}$

8.5 $\displaystyle 8.5$

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Example Question #322 : Data Analysis

Find the mean of this set of numbers:

$\displaystyle 75,78,71,72,79$

Possible Answers:

$\displaystyle 75$

$\displaystyle 79$

$\displaystyle 8$

$\displaystyle 71$

Correct answer:

$\displaystyle 75$

Explanation:

The mean is the average of the set.

First sum up the numbers:

$\displaystyle 75+78+71+72+79=375$

Then divide the sum by the number of elements in the set:

$375\div 5=75$ $\displaystyle 375\div 5=75$

Answer: $\displaystyle 75$

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Example Question #511 : Ssat Middle Level Quantitative (Math)

Find the median of this set of numbers:

$\displaystyle 56,58,52, 57, 59$

Possible Answers:

$\displaystyle 52$

$\displaystyle 57$

$\displaystyle 51$

$\displaystyle 59$

Correct answer:

$\displaystyle 57$

Explanation:

First order the numbers from least to greatest:

$\displaystyle 52,56,57,58,59$

Then identify the middle number: $\displaystyle 57$

Answer: $\displaystyle 57$

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Example Question #512 : Ssat Middle Level Quantitative (Math)

Find the mean of this set of numbers:

$\displaystyle 56,58,52, 54,50$

Possible Answers:

$\displaystyle 57$

270 $\displaystyle 270$

$\displaystyle 54$

$\displaystyle 56$

Correct answer:

$\displaystyle 54$

Explanation:

The mean is the average of the set.

First add up the numbers:

$\displaystyle 56+58+52,+54+50=270$

Then divide by the number of elements in the set:

$270\div 5=54$ $\displaystyle 270\div 5=54$

Answer: $\displaystyle 54$

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Example Question #513 : Ssat Middle Level Quantitative (Math)

Find the mean of this set of numbers:

$\displaystyle 95, 98, 93, 97, 92$

Possible Answers:

475 $\displaystyle 475$

$\displaystyle 96$

$\displaystyle 97$

$\displaystyle 95$

Correct answer:

$\displaystyle 95$

Explanation:

The mean is the average.

First, add up all of the numbers in the set:

$\displaystyle 95+98+93+97+92=475$

Then, divide by the number of elements in the set:

$475\div 5=95$ $\displaystyle 475\div 5=95$

Answer: $\displaystyle 95$

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Example Question #514 : Ssat Middle Level Quantitative (Math)

Solve using the distributive property:

$\displaystyle 3(9+12)=$

Possible Answers:

$\displaystyle 29$

$\displaystyle 63$

$\displaystyle 25$

$\displaystyle 36$

Correct answer:

$\displaystyle 63$

Explanation:

Multiply each number in parentheses by 3:

3*9=27 $\displaystyle 3*9=27$

3*12=36 $\displaystyle 3*12=36$

Then add them together:

$\displaystyle 27+36=63$

Answer: $\displaystyle 63$

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Example Question #515 : Ssat Middle Level Quantitative (Math)

What is the mean of the given set?

$15,\ 12,\ 9,\ 3,\ -9$ $\displaystyle 15,\ 12,\ 9,\ 3,\ -9$

Possible Answers:

$\displaystyle 7$

$\displaystyle 9$

7.5 $\displaystyle 7.5$

$\displaystyle 6$

$\displaystyle 12$

Correct answer:

$\displaystyle 6$

Explanation:

The mean of the set can be found by adding together all the numbers, and then dividing by the number of items in the set.

$\frac{15+12+9+3-9}{5}=\frac{30}{5}=6$ $\displaystyle \frac{15+12+9+3-9}{5}=\frac{30}{5}=6$

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Example Question #516 : Ssat Middle Level Quantitative (Math)

Find the mean of this set of numbers:

$\displaystyle 57,59,51,53,55$

Possible Answers:

$\displaystyle 55$

275 $\displaystyle 275$

$\displaystyle 53$

$\displaystyle 5$

Correct answer:

$\displaystyle 55$

Explanation:

First add up all of the numbers in the set:

$\displaystyle 57+59+51+53+55=275$

Then divide by the number of elements in the set:

$275\div 5=55$ $\displaystyle 275\div 5=55$

Answer: $\displaystyle 55$

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Example Question #517 : Ssat Middle Level Quantitative (Math)

In Ms. Olson's class, there were 5 students who took an exam, earning a mean score of 86. Jacob then took the exam as well, earning a score of 91. What is the new mean?

Possible Answers:

$\displaystyle 89$

$\displaystyle 85$

$\displaystyle 86$

$\displaystyle 87$

Correct answer:

$\displaystyle 86$

Explanation:

The mean is found by adding the scores together, and then dividing by the number of items.

$\frac{85\cdot 5+91}{6}$ $\displaystyle \frac{85\cdot 5+91}{6}$

$\frac{516}{6}$ $\displaystyle \frac{516}{6}$

$\displaystyle 86$

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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #71 : How To Find Mean

Example Question #321 : Data Analysis

Example Question #322 : Data Analysis

Example Question #511 : Ssat Middle Level Quantitative (Math)

Example Question #512 : Ssat Middle Level Quantitative (Math)

Example Question #513 : Ssat Middle Level Quantitative (Math)

Example Question #514 : Ssat Middle Level Quantitative (Math)

Example Question #515 : Ssat Middle Level Quantitative (Math)

Example Question #516 : Ssat Middle Level Quantitative (Math)

Example Question #517 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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