Sets - ISEE Lower Level Quantitative Reasoning

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Question

What is the next number in the series?

Answer

First, determine what the pattern is in the series. The pattern here is to multiply the previous number by 2 and then add 1. Therefore, multiply 47 by 2 (which is 94), and then add 1. The result is 95.

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Question

What is the missing value of w in this sequence?

Answer

In this sequence, every subsequent number is 7 less than the preceding number. Given that the number that precedes w is 71, the value of w is . Therefore, 64 is the correct answer.

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Question

What is the value of n in the sequence below?

Answer

The numbers increase by 5. Given that the number before n is 20, the value of n is .

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Question

What is the next term in the following sequence?

Answer

What is the next term in the following sequence?

This is an arithmetic sequence with a common difference of . To find the next term in an arithmetic sequence, add the common difference to the previously listed term:

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Question

Find the missing number in the sequence:

Answer

In this sequence, the difference between each number is double the difference between the number that came prior to it in the sequence. For example, and . Thus, the missing number must be greater than by a difference of and therefore

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Question

Find the missing number:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . Thus, the correct answer is , because

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Question

Find the missing number in the list below:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of 9. Thus, the correct answer is because .

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Question

What is the missing number in the following sequence:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . In other words, each number in this list is a multiple of . , , thus the next number in this sequence is the product of which equals .

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Question

What is the missing number in the following list:

Answer

In this sequence of numbers, there is an important pattern to recognize. In this sequence each number is a prime number, however the sequence skips every other prime number. Thus, the sequence begins with the prime number and then skips the prime number (which is the only even prime number) and goes to . From the next prime number is , however since the pattern in this sequence skips every other prime number--the missing number is .

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Question

Find the missing number in this set:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number in this sequence is a composite number--however, the sequence skips every other composite number. Thus, the next composite number after is --which is skipped because of the pattern, making the correct answer .

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Question

Find the next number in the list:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . In other words, each number in this list is a multiple of . Thus,

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Question

What is the missing number in the following sequence:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . Therefore, the missing number is , because

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Question

Find the missing number in the sequence:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by double the difference between the two previous numbers. is greater than by a difference of , therefore the number that is missing must be greater than by a margin of . Thus, the correct answer is . Notice that is also less than by a difference of

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Question

What is the missing number in the sequence:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is less than the previous number by a difference that is double the margin between the previous two numbers. For example, the difference between and is And, the difference between and is . Thus, the missing number must be less than by a difference of --which means that is the missing number.

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Question

What is the next number:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of Thus,

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Question

Find the missing number in the list:

Answer

In this sequence of numbers, there is an important pattern to recognize. Each number is less than the previous number in the sequence by a difference of . Thus, .

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Question

What is the missing value of in this sequence?

Answer

In this sequence, every subsequent number is less than the preceding number. Given that the number that precedes is , the value of w is . Therefore, is the correct answer.

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Question

Which of the following could not be a term in the sequence 5, 10, 15, 20...?

Answer

All answers in the sequence must end in a 5 or a 0.

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Question

The players on Rebecca's basketball team are the following ages:

What is the median age?

Answer

In order to find the median, the numbers in a set must be ordered from smallest to largest, and the middle number identified. Doing this results in:

The middle number is 7, which is therefore the median.

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Question

Greg is a shoe salesman. The past 5 days, he has sold the following numbers of shoes:

What is the median?

Answer

The median is the middle number in a set when ordered from smallest to largest.

When the set, is ordered from smallest to largest, it is .

Here, the middle number is 7. Therefore, the correct answer is 7.

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