Sets - ISEE Lower Level (grades 5-6) Mathematics Achievement

Notice that the numbers in this list are growing at an increasing rate.

First you add :

Then you add :

Then you add : .

By the time you get to the 18, it is time to add 6:

is the intersection of sets and - the set of all elements that appear in both sets. As can be seen, those elements are - making 3 the correct choice.

The numbers in this sequence follow a pattern; each new number is twice the one that came before it. To find the next number in the sequence, multiply by two.

.

The pattern of the sequence is to multiply each number by to get to the next number.

and

The sequence of numbers represents prime numbers, beginning with two. The next prime number in the list would be .

Note that is not a prime number, since it is a multiple of and .

Since the pattern is adding 2, you must add 2 to 9 to get 11.

In this sequence, each number is a multiple of , and each number increases incrementally by . The multiple of that is between and is ; therefore, is the correct answer.

The numbers in the set increase by increments of 16.

The final term in the set will be the sum of 54 and 16.

The pattern in this set is that each preceding number is multiplied by 2.

Given that 16 multiplied by 2 equals 32, that is the correct answer.

In this sequence, each subsequent number is 5 less than the preceding number. As a result, the will be equal to 9, because 9 is 5 less than 14, which is the preceding number.

In the sequence, each subsequent number is larger than the previous number by 6.

To calculate the next number, 6 should be added to 24, resulting in 30. Thus, 30 is the correct answer.

Each number in the set increases from the preceding number by a value of 6.

Given that , the correct answer is 38.

In the set, each subsequent number if 5 times larger than the previous term.

To find the value of , we need to divide the following term by 5. In this case, that means we will need to divide 5 by 5.

In this set, each term is equal to the preceding term divided by 3.

By dividing 27 by 3, we can find the value of .

The pattern in the set is that each number increases by 4. Therefore, since 4 plus 20 equals 24, x is 24.

The pattern in the set is that each number increases by 6. The last number was 24. Therefore, since 6 plus 24 equals 30, would be equal to 30.

Given that 15 is 3 times the value of 5, could be equal to 3 times the value of 15. This assumes that the pattern is that each subsequent number is triple the value of the preceding number.

Using this pattern, would be equal to 3 times 15.

We can test this answer by checking that three times is equal to the next number in the list, 135.

Our answer works out, so must be equal to 45.

In the sequence, each subsequent number doubles in value. Therefore, the next number should be twice as large as 80, or 160. Therefore, 160 is the correct answer.

In the set, , each subsequent number is one third of the preceding number. One-third of 4 is , which is the correct answer.