ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning
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All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #22 : Answer Questions Using Information From A Bar Graph: Ccss.Math.Content.3.Md.B.3
Use the chart below to answer the question.
How many students have a sibling in the second grade group and the first grade group?
Each square represents 
To find the total in both grades we add.
Example Question #23 : Answer Questions Using Information From A Bar Graph: Ccss.Math.Content.3.Md.B.3
Use the chart below to answer the question.
How many students in fourth grade have a sibling?
Each square represents 
Example Question #1 : How To Find The Missing Part Of A List
A geometric sequence begins as follows:
Which is the greater quantity?
(a) The seventh term of the sequence
(b)
(a) and (b) are equal
(a) is greater
It is impossible to tell from the information given
(b) is greater
(a) is greater
The common ratio of the sequence is 
Example Question #2 : How To Find The Missing Part Of A List
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)
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(a) is greater
(a) and (b) are equal
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 #381 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
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
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(a) is greater
It is impossible to tell from the information given
This question is impossible to answer, because it is not known how many candidates are male and how many are female.
Example Question #3 : How To Find The Missing Part Of A List
An arithmetic sequence begins
Which is the greater quantity?
(a) The fiftieth term of the sequence
(b)
(a) and (b) are equal
(a) is greater
(b) is greater
It is impossible to tell from the information given
(b) is greater
The common difference of the sequence is 
which is less than 450.
Example Question #4 : How To Find The Missing Part Of A List
An arithmetic sequence begins:
Which is the greater quantity?
(a)
(b) The tenth term of the sequence
(a) is greater
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(b) is greater
The common difference of the sequence is 
This makes (b) greater.
Example Question #382 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
The Fibonacci sequence begins
with each subsequent term being the sum of the previous two.
Which is the greater quantity?
(a) The product of the eighth and tenth terms of the Fibonacci sequence
(b) The square of the ninth term of the Fibonacci sequence
It is impossible to tell from the information given
(a) is greater
(a) and (b) are equal
(b) is greater
(b) is greater
By beginning with 
(a) The eighth and tenth terms are 21 and 55; their product is
(b) The ninth term is 34; its square is 
(b) is greater
Example Question #4 : Sets
The Fibonacci sequence begins
with each subsequent term being the sum of the previous two.
Which is the greater quantity?
(a) The product of the fifth and eighth terms of the Fibonacci sequence
(b) The product of the sixth and seventh terms of the Fibonacci sequence
(a) and (b) are equal
(b) is greater
(a) is greater
It is impossible to tell from the information given
(a) is greater
By beginning with 
(a) The fifth and eighth terms are 5 and 21; their product is
(b) The sixth and seventh terms are 8 and 13; their product is
(a) is greater.
Example Question #5 : Sets
What is the next number in the series above?
First, you must determine the pattern in the series. The pattern is adding the two preceding terms to give you the next term (ex: 
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All ISEE Middle Level Quantitative Resources
