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SSAT Elementary Level Math : Sets

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

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #1 : Measurement & Data

Which would make the most sense to use if we were going to measure a candle?

Possible Answers:

Ruler

Yardstick

Measuring tape

Meter stick

Correct answer:

Ruler

Explanation:

You would use a ruler to measure a shoe because a candle is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.

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Example Question #1 : Measurement & Data

Which would make the most sense to use if we were going to measure a taco?

Possible Answers:

Yardstick

Meter stick

Ruler

Measuring tape

Correct answer:

Ruler

Explanation:

You would use a ruler to measure a taco because a taco is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.

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Example Question #1 : How To Identify The Parts Of A List

$Place\;the\;following\;numbers\;in\;order\;from\;least\;to\;greatest: -3,\frac{1}{2},0,-50$

Possible Answers:

$\frac{1}{2},0,-3,-50$

$-50,-3,\frac{1}{2},0$

$0,\frac{1}{2},-50,-3$

$-50,-3,0,\frac{1}{2}$

Correct answer:

$-50,-3,0,\frac{1}{2}$

Explanation:

$-50< -3< 0< \frac{1}{2}$

$Negative\;numbers\;are\;smaller\;than\;0.$

$Positive\;number\;are\;greater\;than\;0.$

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Example Question #71 : Sets

Which of the choices below lists ONLY examples of triangles?

Possible Answers:

isosceles, scalene, equilateral

pentagon, isosceles, kite

equilateral, parallelogram, trapezoid

rhombus, kite, trapezoid

Correct answer:

isosceles, scalene, equilateral

Explanation:

isosceles: triangle with two equal sides and two equal angles

scalene: triangle with no equal sides and no equal angles

equilateral: triangle with three equal sides and three equal angles

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Example Question #2 : How To Identify The Parts Of A List

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

Possible Answers:

$\left \{ 8, 9, 10, 12, 16, 18\right \}$

$\left \{ 2, 4, 6, 9, 12, 14\right \}$

$\left \{ 4, 8, 12, 16, 20\right \}$

$\left \{ 1, 4, 8, 12, 20\right \}$

$\left \{ 4, 6, 8, 10, 11, 14\right \}$

Correct answer:

$\left \{ 4, 8, 12, 16, 20\right \}$

Explanation:

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here:

$\left \{ \underline{1}, 4, 8, 12, 20\right \}$

$\left \{ 8, \underline{9}, 10, 12, 16, 18\right \}$

$\left \{ 4, 6, 8, 10,\underline{ 11}, 14\right \}$

$\left \{ 2, 4, 6, \underline{9}, 12, 14\right \}$

The remaining set can be seen to have only elements from :

$\left \{ 4, 8, 12, 16, 20\right \}\subseteq \left \{ 2, \underline{4}, 6, \underline{8}, 10, \underline{12}, 14, \underline{16}, 18, \underline{20}\right \}$

This is the correct choice.

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Example Question #4 : How To Identify The Parts Of A List

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

Possible Answers:

Correct answer:

Explanation:

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

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Example Question #5 : How To Identify The Parts Of A List

$17 \times11=187$

$22\times11=242$

$36\times11=396$

$45\times11=495$

$53\times11=583$

$62\times11=682$

Use the given multiplication to find a pattern, and then solve the following:

$a)\;23\times11$

$b)\;72\times11$

$c)\:44 \times11$

Possible Answers:

$a)\ 444$

$b)\ 888$

$c)\ 311$

$a)\:253$

$b)\;792$

$c)\:484$

$a)\:341$

$b)\;741$

$c)\:311$

$a)\:293$

$b)\;732$

$c)\:464$

$a)\:412$

$b)\;827$

$c)\:399$

Correct answer:

$a)\:253$

$b)\;792$

$c)\:484$

Explanation:

$When\: multiplying \: numbers \: by \: 11, \: the \: sum \: goes \: in\: between \: the \: two \: digits.$

$43\times11=4\underline{7}3\Rightarrow 4\;\underline{4+3} \;3$

$15\times11=1\underline{6}5\Rightarrow 1\;\underline{1+5} \;5$

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Example Question #3 : How To Identify The Parts Of A List

Place the following numbers in order from smallest to largest: -0.71,-0.69,-0.70,-0.66

Possible Answers:

-0.71,-0.69,-0.70,-0.66

-0.71,-0.70,-0.69,-0.66

-0.66,-0.69,-0.71,-0.70

-0.66,-0.69,-0.70,-0.71

-0.69,-0.66,-0.70,-0.71

Correct answer:

-0.71,-0.70,-0.69,-0.66

Explanation:

For negative numbers, the bigger the value next to the negative sign, the smaller the number. For example, is smaller than .

Use the tenths digit (the one to the right of the decimal point) to order the numbers:

The negative numbers with a in the tenths place are smaller than the numbers with a in the tenths place.

Then, use the hundredths place to order the numbers:

-0.69 is smaller than -0.66 since is larger than .

-0.71 is smaller than -0.70 since is larger than .

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Example Question #4 : How To Identify The Parts Of A List

Which of these numbers is not a prime number?

Possible Answers:

Correct answer:

Explanation:

A prime number has exactly two factors: 1 and itself. 85 is immediately disqualified: any number that ends in 5 has 5 as a factor.

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Example Question #5 : How To Identify The Parts Of A List

Place the following numbers in order from least to greatest: 0.71,0.69,0.70,0.66

Possible Answers:

0.71,0.70,0.69,0.66

0.66,0.69,0.71,0.70

0.69,0.66,0.70,0.71

0.66,0.69,0.70,0.71

Correct answer:

0.66,0.69,0.70,0.71

Explanation:

First, use the tenths digit (the one to the right of the decimal point) to order the numbers.

The numbers with a 6 in the tenths place are smaller than the numbers with a 7 in the tenths place.

Then, use the hundredths place to order the numbers.

0.66 is smaller than 0.69 since 6 is smaller than 9.

0.70 is smaller than 0.71 since 0 is smaller than 1.

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All SSAT Elementary Level Math Resources

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SSAT Elementary Level Math : Sets

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #1 : Measurement & Data

Example Question #1 : Measurement & Data

Example Question #1 : How To Identify The Parts Of A List

Example Question #71 : Sets

Example Question #2 : How To Identify The Parts Of A List

Example Question #4 : How To Identify The Parts Of A List

Example Question #5 : How To Identify The Parts Of A List

Example Question #3 : How To Identify The Parts Of A List

Example Question #4 : How To Identify The Parts Of A List

Example Question #5 : How To Identify The Parts Of A List

All SSAT Elementary Level Math Resources

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