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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Lower Level Math

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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Define the set $C = \left \{ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19\right \}$

Which of the following is not a subset of ?

Possible Answers:

$\left \{ 3, 5, 9, 11, 13, 17, 18\right \}$

$\left \{ 19\right \}$

$\varnothing$

$\left \{ 1, 5, 7, 9, 11, 15, 17\right \}$

$\left \{ 5, 7, 9, 11, 15, 17, 19 \right \}$

Correct answer:

$\left \{ 3, 5, 9, 11, 13, 17, 18\right \}$

Explanation:

A subset of a set , by definition, is any set that contains no elements not in . All elements in $\left \{ 1, 5, 7, 9, 11, 15, 17\right \}$ , $\left \{ 5, 7, 9, 11, 15, 17, 19 \right \}$ , and $\left \{ 19\right \}$ are contained in and the sets are subsets; also, $\varnothing$ , the empty set, is considered a subset of every set. $\left \{ 3, 5, 9, 11, 13, 17, 18\right \}$ , however, contains element $18 \notin C$ , so

$\left \{ 3, 5, 9, 11, 13, 17, 18\right \} \nsubseteq C$ .

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

Define two sets as follows:

$C = \left \{ 1, 5, 6, 8, 9, 10, 13, 14, 18\right \}$

$D = \left \{ 2, 3, 4, 6, 9, 13, 15, 17, 18\right \}$

How many elements are in $C \cup D$ ?

Possible Answers:

Correct answer:

Explanation:

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

$\left \{ 1, 2,3,4,5, 6, 8, 9, 10, 13, 14,15,17, 18\right \}$

This is a set of 14 elements.

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Example Question #6 : How To Identify The Parts Of A List

Define a set as follows:

$A = \left \{ a, d, f, g, j, k, m, p, t\right \}$

Which of the following is a subset of ?

Possible Answers:

$\left \{ g, h, p\right \}$

$\left \{ a, d, f, g, j, k, m, p, t, v\right \}$

$\left \{ a, e, g, j, k \right \}$

$\left \{ a, f, j, k, o, p, t\right \}$

$\left \{ f, g, k, t\right \}$

Correct answer:

$\left \{ f, g, k, t\right \}$

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:

$\left \{ g, \underline{h}, p\right \}$

$\left \{ a, \underline{e}, g, j, k \right \}$

$\left \{ a, f, j, k, \underline{o}, p, t\right \}$

$\left \{ a, d, f, g, j, k, m, p, t, \underline{v}\right \}$

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

$\left \{ f, g, k, t\right \} \subseteq \left \{ a, d, \underline{f}, \underline{g}, j, \underline{k}, m, p, \underline{t}\right \}$

This is the correct choice.

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Example Question #731 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Ms. Howard gave the students a test last Friday and they are reviewing it in class today.

The student scores were as follows:

Carla 80

Ben 75

Joe 90

Paul 100

Zoe 70

What was the median score for the test?

Possible Answers:

None of the other answers.

100

Correct answer:

Explanation:

To find the median the set of numbers must be put in order [least to greatest OR greatest to least]. Once the numbers are in order, then cross out one number from each side of the list until the middle of the ordered numbers is reached.

The number in the middle of the ordered numbers is the median.

Placing the scores in order from least to greatest the list would appear as follows:

70, 75, 80, 90, 100

Cross out one number at a time from each side.

First cross out 70. Next, cross out 100. Then, cross out 75. Finally, cross out 90.

70, 75, 80, 90, 100

The median is the number left in the middle of the ordered list which is 80.

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Example Question #732 : Isee Lower Level (Grades 5 6) Mathematics Achievement

What is the mode of the following set of numbers?

$\small 14, 17, 17, 23, 36, 39, 39, 39, 40, 42, 42$

Possible Answers:

$\small 348$

$\small 17$

$\small 31$

Correct answer:

Explanation:

The mode is the number that is repeated most often. $\small 39$ is repeated three times, more than any other number in the set.

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Example Question #733 : Isee Lower Level (Grades 5 6) Mathematics Achievement

What is the mode of the following set of numbers?

13, 15, 23, 13, 49, 25, 15, 75, 30, 13, 27

Possible Answers:

298

Correct answer:

Explanation:

The mode of a set of numbers is the number that is repeated most often. In this example, is repeated three times, more than any other number in the set. Therefore, is the mode.

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Example Question #11 : How To Identify The Parts Of A List

What is the mean of the following set of numbers?

13, 15, 50, 63, 21, 8, 2, 12, 15, 1

Possible Answers:

200

Correct answer:

Explanation:

The mean represents the average of a set of values. To find the mean, or average, first find the sum of the set of numbers.

3+15+50+63+21+8+2+12+15+1=200

Then, divide the sum by however many numbers are in the set. In this set there are ten numbers, so we will divide two hundred by ten.

$200\div10=20$

Therefore, the mean is .

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Example Question #734 : Isee Lower Level (Grades 5 6) Mathematics Achievement

$\left \{ 2,4,4,6,3,5,4 \right \}$

What is the mode of this data set?

Possible Answers:

Correct answer:

Explanation:

The mode of a set is the number that occurs most often. In this set, it is 4.

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Example Question #106 : Data Analysis

Which tool is best to measure the length of your bed?

Possible Answers:

Scale

Yardstick

Ruler

Calculator

Compass

Correct answer:

Yardstick

Explanation:

Since the length of your bed is probably somewhere around 6 feet, the best tool to use is a yardstick. A ruler would require more measurements, and therefore, leave more room for error.

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Example Question #12 : How To Identify The Parts Of A List

Which answer choice descirbes the numbers in this set?

4, 8, 12, 16, 20, 24 . . .

Possible Answers:

Prime numbers

None of these

Multiples of four

Odd numbers

Factors of eight

Correct answer:

Multiples of four

Explanation:

The set contains multiples of four.

$4\times1=4,\ 4\times2=8,\ 4\times3=12...$

Odd numbers are not divisible by two, and prime numbers have no factors other than the number itself and one. None of the numbers in this set are odd, nor are they prime. Four is a factor of eight, but none of the other numbers in the set are factors of eight.

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

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

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

Example Question #6 : How To Identify The Parts Of A List

Example Question #731 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #732 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #733 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #11 : How To Identify The Parts Of A List

Example Question #734 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #106 : Data Analysis

Example Question #12 : How To Identify The Parts Of A List

All ISEE Lower Level Math Resources

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