How to find the missing part of a list

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the missing part of a list

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1

A geometric sequence begins as follows:

Which is the greater quantity?

(a) The fourth element of the sequence

(b) 30

2

Which is the greater quantity?

(a) The number of odd integers such that

(b) The number of even integers such that

3

Define set $A = \left { 1, 3, 5, 6, 7, 8, 10 \right }$ . How could we define set so that $A \cap B = \left { 1, 5, 6, 8\right }$ ?

4

An arithmetic sequence begins as follows:

$4 \frac{1}{2} , 6 \frac{3}{4},...$ '

Which is the greater quantity?

(a) The fifth number in the sequence

(b)

5

A pair of fair dice are rolled. Which is the greater quantity?

(a) The probability that at least one die comes up 5 or 6

(b) $\frac{1}{2}$

6

An arithmetic sequence begins as follows:

Which is the greater quantity?

(a) The fourth term of the sequence

(b) 200

7

The Fibonacci sequence is formed as follows:

$F_{1} = 1$

$F_{2}= 1$

For all integers , $F_{n}= F_{n-1}+ F_{n-2}$

Which of the following is true of $F_{1,000}$ , the one-thousandth number in this sequence?

8

A geometric sequence begins as follows:

Which is the greater quantity?

(a) The fourth term of the sequence

(b) The sixth term of the sequence

9

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 seventh and eighth terms of the Fibonacci sequence

(b) The product of the sixth and ninth terms of the Fibonacci sequence

10

Twelve candidates are running for four vacancies on the school board. Six of the candidates are Democrats, and six are Republicans. Samantha wants to vote for two Democrats and two Republicans.

Which is the greater quantity?

(a) The number of ways Samantha can cast her ballot so that she votes for two Democrats and two Republicans

(b)

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