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ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement

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

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All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #125 : Data Analysis And Probability

Find the range of the following data set:

44,65,12,33,99,12,55,44,65,12,79

Possible Answers:

Correct answer:

Explanation:

Find the range of the following data set:

44,65,12,33,99,12,55,44,65,12,79

To find the range, first put the numbers in increasing order

12,12,12,33,44,44,55,65,65,79,99

Next, find the difference between our first and last terms

99-12=87

Thus, our range is 87 because there is a "distance" of 87 between our biggest and smallest terms.

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Example Question #681 : Isee Upper Level (Grades 9 12) Mathematics Achievement

For his last six math tests, Josh scored 92, 80, 88, 94, 97, and 95. What is the range for his test scores?

Possible Answers:

Correct answer:

Explanation:

In order to find the range, you will need to first find the smallest and largest number in the set.

For this set of numbers, the smallest number is , and the largest number is .

To find the range, take the difference of these two numbers:

$\text{Range}=97-80=17$

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Example Question #682 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Michael received the following scores on his last four French tests: 65, 58, 69, 58. What is the range of his test scores?

Possible Answers:

Correct answer:

Explanation:

In order to find the range, you must first identify the smallest and the largest number of the data set.

The smallest number for this set is , and the largest number is .

Take the difference of the two numbers to find the range.

$\text{Range}=69-58=11$

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Example Question #131 : Data Analysis And Probability

Over the course of seven games, Joanna scored the following number of points for her high school's varsity basketball team:

14, 20, 12, 9, 10, 8, 12 .

What is the range of the number of points she scored?

Possible Answers:

Correct answer:

Explanation:

In order to find the range, you must first identify the smallest and the largest number of the set.

The smallest number of the set is , while the largest number is .

Take the difference between these two to find the range.

$\text{Range}=20-8=12$

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Example Question #131 : Data Analysis And Probability

Use the following data set to answer the question:

9, 4, 5, 7, 3, 6, 5, 8, 6, 3, 5

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range of a data set, we will find the smallest number and the largest number. Then, we will find the difference of those two numbers.

So, given the set

9, 4, 5, 7, 3, 6, 5, 8, 6, 3, 5

we can see the smallest number is 3 and the largest number is 9. Now, we will find the difference.

9-3=6

Therefore, the range of the data set is 6.

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Example Question #685 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Use the following data set to answer the question:

5, 4, 7, 6, 9, 6, 2, 6, 9

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range of a data set, we will find the smallest number and the largest number. Then, we will find the difference of those two numbers.

So, given the set

5, 4, 7, 6, 9, 6, 2, 6, 9

we can see the smallest number is 2 and the largest number is 9. Now, we will find the difference.

9-2=7

Therefore, the range of the data set is 7.

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Example Question #686 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Determine the range: [-1,-3,-5,21,-21]

Possible Answers:

$\frac{9}{5}$

Correct answer:

Explanation:

The range is the difference between the largest and smallest numbers.

The largest number is:

The smallest number is:

Subtract both quantities.

21-(-21) = 21+21 = 42

The answer is:

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Example Question #683 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Define set $A = \left \{ 1, 2, 4, 8, 10, a, g, j, r, w \right \}$ . Which of the following sets could we define to be set so that $A \cap B = \varnothing$ ?

Possible Answers:

$B = \left \{ 5,6,7,11,17, f,h,i,k,r\right \}$

$B = \left \{ 3, 5, 6, 7, 9, e, g, t, u, x\right \}$

$B= \left \{ 3,5, 6,8,14,d,f,s,t,x\right \}$

$B =\left \{ 3, 5, 7, 10, 13, e, f, h, k, y \right \}$

$B = \left \{ 3, 6, 7, 9, 12, b, e, h, s, t\right \}$

Correct answer:

$B = \left \{ 3, 6, 7, 9, 12, b, e, h, s, t\right \}$

Explanation:

For $A \cap B = \varnothing$ to be a true statement, sets and cannot have any elements in common. We can eliminate four of these choices of by noting that in each, there is one element (underlined) also in :

$\left \{ 3,5, 6,\underline{8},14,d,f,s,t,x\right \}$

$\left \{ 3, 5, 7, \underline{10}, 13, e, f, h, k, y \right \}$

$\left \{ 3, 5, 6, 7, 9, e, \underline{g}, t, u, x\right \}$

$\left \{ 5,6,7,11,17, f,h,i,k,\underline{r}\right \}$

However, $B = \left \{ 3, 6, 7, 9, 12, b, e, h, s, t\right \}$ shares no elements with $A = \left \{ 1, 2, 4, 8, 10, a, g, j, r, w \right \}$ , so their intersection is $\varnothing$ by definition. This is the correct choice.

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Example Question #684 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Given a set $A = \left \{ 1,3, 6, 7, 8\right \}$ , which of the following sets could we assign to such that $A \cup B = \left \{ 1,2, 3, 4, 5, 6, 7, 8, 9, 10\right \}$ ?

Possible Answers:

$\left \{ 2, 4, 9, 10 \right \}$

$\left \{1, 2, 4, 5, 6, 9, 10, 12\right \}$

$\left \{ 6,5,4, 9, 10\right \}$

None of the choices answer the question correctly.

$\left \{ 2, 9,5, 4, 10, 8\right \}$

Correct answer:

$\left \{ 2, 9,5, 4, 10, 8\right \}$

Explanation:

$A \cup B$ is the union of the sets, i.e. the set of all elements in , , or both.

For $A \cup B = \left \{ 1,2, 3, 4, 5, 6, 7, 8, 9, 10\right \}$ , must include all elements in $\left \{ 1,2, 3, 4, 5, 6, 7, 8, 9, 10\right \}$ that are not in , or $\left \{ 2, 4, 5, 9, 10\right \}$ . This allows us to eliminate $\left \{ 2, 4, 9, 10 \right \}$ , which excludes 5, and $\left \{ 6,5,4, 9, 10\right \}$ , which excludes 2.

Also, cannot include any element not in $\left \{ 1,2, 3, 4, 5, 6, 7, 8, 9, 10\right \}$ . This allows us to eliminate $\left \{1, 2, 4, 5, 6, 9, 10, 12\right \}$ , which includes 12.

This leaves $\left \{ 2, 9,5, 4, 10, 8\right \}$ .

If $B = \left \{ 2, 9,5, 4, 10, 8\right \}$ , then

$A \cup B =\left \{ 1,3, 6, 7, 8\right \} \cup \left \{ 2, 9,5, 4, 10, 8\right \}$

$= \left \{ 1,2, 3, 4, 5, 6, 7, 8, 9, 10\right \}$ .

This is the correct choice.

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Example Question #685 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Examine the sequence:

$5, 6, 8, 11, 15, 20, 26, \square, \bigcirc,...$

What number goes into the circle?

Possible Answers:

Correct answer:

Explanation:

Each element is obtained by adding a number to the previous one; the number added increases by 1 each time:

5 + 1 = 6

6 + 2 = 8

8 + 3 = 11

11 + 4 = 15

15 + 5 = 20

20 + 6 = 26

26 + 7 = 33 - this number replaces the square

33 + 8 = 41 - this number replaces the circle

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All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #125 : Data Analysis And Probability

Example Question #681 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #682 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #131 : Data Analysis And Probability

Example Question #131 : Data Analysis And Probability

Example Question #685 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #686 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #683 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #684 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #685 : Isee Upper Level (Grades 9 12) Mathematics Achievement

All ISEE Upper Level Math Resources

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