ISEE Middle Level Quantitative : Data Analysis and Probability

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #98 : Tables

Use the chart below to answer the question.


Screen shot 2015 09 28 at 10.01.05 am

How many more students have a sibling in the fourth grade group than the third grade group? 

 

Possible Answers:

Correct answer:

Explanation:

Each square represents  students. The fourth grade bar has  squares in it, which means there are  students who have a sibling ().The third grade bar has  squares in it, which means there are  students who have a sibling (). 

To find the difference we subtract. 

Example Question #99 : Tables

Use the chart below to answer the question.

Screen shot 2015 09 28 at 10.01.05 am

How many more students have a sibling in the second grade group than the third grade group? 

 

Possible Answers:

Correct answer:

Explanation:

Each square represents  students. The second grade bar has  squares in it, which means there are  students who have a sibling ().The third grade bar has  squares in it, which means there are  students who have a sibling ().

To find the difference we subtract. 

Example Question #31 : How To Find The Answer From A Table

Use the chart below to answer the question.


Screen shot 2015 09 28 at 10.01.05 am

How many more students have a sibling in the second grade group than the first grade group? 

Possible Answers:

Correct answer:

Explanation:

Each square represents  students. The second grade bar has  squares in it, which means there are  students who have a sibling ().The first grade bar has  squares in it, which means there are  students who have a sibling ().

To find the difference we subtract. 

Example Question #32 : How To Find The Answer From A Table

Use the chart below to answer the question.

Screen shot 2015 09 28 at 10.01.05 am

How many more students have a sibling in the second grade group than the fourth grade group? 

 

Possible Answers:

Correct answer:

Explanation:

Each square represents  students. The second grade bar has  squares in it, which means there are  students who have a sibling ().The fourth grade bar has  squares in it, which means there are  students who have a sibling ().

To find the difference we subtract. 

Example Question #33 : How To Find The Answer From A Table

Use the chart below to answer the question.

Screen shot 2015 09 28 at 10.01.05 am

How many students have a sibling in the fourth grade group and the third grade group?

Possible Answers:

Correct answer:

Explanation:

Each square represents  students. The fourth grade bar has  squares in it, which means there are  students who have a sibling ().The third grade bar has  squares in it, which means there are  students who have a sibling ().

To find the total in both grades we add. 

Example Question #161 : Data Analysis And Probability

Use the chart below to answer the question.

Screen shot 2015 09 28 at 10.01.05 am

How many students have a sibling in the second grade group and the first grade group?

 

Possible Answers:

Correct answer:

Explanation:

Each square represents  students. The second grade bar has  squares in it, which means there are  students who have a sibling ().The first grade bar has  squares in it, which means there are  students who have a sibling ().

To find the total in both grades we add. 

Example Question #21 : Representing And Interpreting Data

Use the chart below to answer the question.


Screen shot 2015 09 28 at 10.01.05 am

How many students in fourth grade have a sibling? 

Possible Answers:

Correct answer:

Explanation:

Each square represents  students. The fourth grade bar has  squares in it. That means we can take  to find our total. 

Example Question #1 : Sets

A geometric sequence begins as follows:

Which is the greater quantity? 

(a) The seventh term of the sequence

(b) 

Possible Answers:

It is impossible to tell from the information given

(a) is greater

(b) is greater

(a) and (b) are equal

Correct answer:

(a) is greater

Explanation:

The common ratio of the sequence is , so the next four terms of the sequence are:

, the seventh term, which is greater than 3,000.

Example Question #2 : Sets

Seven students are running for student council. A student can vote for any three. Steve wants to vote for his girlfriend Marsha. 

Which is the greater quantity?

(a) The number of ways Steve can fill out his ballot so that he can vote for Marsha

(b) 

Possible Answers:

(b) is greater

(a) is greater

It is impossible to tell from the information given

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

Since one of Steve's votes has already been decided, this is a choice of two out of the remaining six without regard to order - that is, the number of combinations of two out of a set of six. This is 

Example Question #3 : Sets

Eight students are running for student council. A student can vote for any two. Phil only wants to vote for male candidates; Sandee only wants to vote for female candidates. 

Which is the greater quantity?

(a) The number of ways Phil can fill out his ballot so that he can vote for two male candidates

(b) The number of ways Sandee can fill out her ballot so that she can vote for two female candidates

Possible Answers:

(b) is greater

It is impossible to tell from the information given

(a) is greater

(a) and (b) are equal

Correct answer:

It is impossible to tell from the information given

Explanation:

This question is impossible to answer, because it is not known how many candidates are male and how many are female.

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