ISEE Middle Level Quantitative : Data Analysis and Probability
Study concepts, example questions & explanations for ISEE Middle Level Quantitative
All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #4 : Sets
An arithmetic sequence begins
Which is the greater quantity?
(a) The fiftieth term of the sequence
(b)
It is impossible to tell from the information given
(a) and (b) are equal
(b) is greater
(a) is greater
(b) is greater
The common difference of the sequence is 
which is less than 450.
Example Question #5 : Sets
An arithmetic sequence begins:
Which is the greater quantity?
(a)
(b) The tenth term of the sequence
(a) is greater
(a) and (b) are equal
(b) is greater
It is impossible to tell from the information given
(b) is greater
The common difference of the sequence is 
This makes (b) greater.
Example Question #6 : 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 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) and (b) are equal
(b) is greater
(a) 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 #7 : 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
It is impossible to tell from the information given
(b) is greater
(a) is greater
(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 #8 : 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: 
Example Question #171 : Data Analysis And Probability
Five candidates are running for school board. A voter chooses two of the candidates.
Which is the greater quantity?
(a) The number of ways a voter can mark his or her ballot
(b)
(a) is greater
(a) and (b) are equal
It is impossible to tell from the information given
(b) is greater
(b) is greater
This is a choice of two out of five without regard to order - that is, the number of combinations of two out of a set of five. This is
There are ten possible ways to choose, and 
Example Question #10 : Sets
Refer to the above diagram. The top row gives a sequence of figures. Which figure on the bottom row comes next?
Figure (c)
Figure (d)
Figure (b)
Figure (a)
Figure (c)
The square with the diagonal line alternates between the square on the left and the square on the right. Therefore, the next figure in the sequence will have its diagonal line in the rightmost square, eliminating Figures (b) and (d) and leaving Figures (a) and (c).
Also, the shaded square moves one position to the right from figure to figure, so in the next figure, the shaded square must be the one at the extreme right. Figure (c) matches that description.
All ISEE Middle Level Quantitative Resources
