Sets - SSAT Elementary Level Quantitative (Math)

The set of whole numbers comprises the following:

All of the given choices are members of this set.

Each entry in the sequence is obtained by adding to the previous entry a number that increases by 1 each time.

To get the next entry, add 7.

This is a Fibonacci sequence.

Each number is found by adding the two numbers before it:

1+1=2

1+2=3

2+3=5

5+8=13

8+13=21

1, 1, 2, 3, 5, 8, 13, 21

The set is increasing. To figure out by how much, simply subtract any two numbers in the set, but remember to put the greater number first!

Example:

Each number in the set increases by 1.1. To find the missing part of this set, add 1.1 to the number just before the blank.

The complete set is: 1.2, 2.3, 3.4, 4.5, 5.6.

First, you must notice that the set is counting down/backwards. You can solve this problem in two ways.

1. Notice the pattern: the digits in the tens and ones place are the same and are just counting down. Using this pattern, we can guess that the next two numbers will be 33 and 22.

2. You can find the difference between any two numbers in the set. To do this, take any two numbers and subtract, but remember to put the greater number first!

The difference is 11. Each number in the set decreases by 11. To find the missing numbers, subtract 11 from the last known number.

The two missing numbers are 33 and 22.

First, you must notice that the set is increasing. When you look at how all the numbers are related, you will notice that this is a “growing” set, meaning the difference between each number in the set is increasing. To figure out by how much, simply subtract any two numbers in the set.

When you subtract the first two numbers in the set, you will get: .

If you subtract the next two numbers, you will get: .

Then the next two: .

Now you can see a pattern. Each number increases by 1, 2, 3, and so on.

To find the missing number in the set, we must add 6 to 21.

Now we can see the complete set.

First, you must notice that the set is counting up/forwards. When you look at how all the numbers are related, you will notice that these numbers increase by 9, or are multiples of 9. To solve you can add 9 to the last known number and then 9 to the next:

Or you can count by 9 to fill in the missing numbers. The complete set is: 27, 36, 45, 54, 63, 72, 81.

First, notice that the set is counting up.

The numbers increase by each time.

Therefore the correct choice is , .

The set repeats as follows: circle, square, up arrow, down arrow, circle, square, up arrow, etc.

We need to finish the pattern that begins with circle, square, up arrow.

Therefore the missing shapes are down arrow, circle, square.

The pattern in the set is to add three every time. The last number of the set given is 19 so add 3 and get 22. Add 3 again and get 25. Add 3 again and get 28. Thus the answer is

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is adding by fours! So, to find the next number, we need to add four more to the last number in the given sequence.

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is multiplying by twos! So, to find the next number, we need to mulitply the last number by two in the given sequence.

First, you must notice that the set is counting down/backwards. When you look at how all the numbers are related, you will notice that these numbers decrease by , or are multiples of . To solve, you can add to the first known number () and then to that number to find the first number in the sequence.

The complete sequence is:

To find the missing number in the sequence, we need to find the pattern. In this problem, the pattern is adding by fives. So, to find the missing number, we need to add five more to the number before the blank space in the given sequence.

To find the missing number in the sequence, we need to find the pattern. In this problem, the pattern is multiplying by threes.So, to find the missing number, we need to multiply the number before the blank space by three.

In the number sequence , the first number is multiplied by to get the second number. The second number is divided by to get the third number. Numbers are then alternately multiplied by and divided by as the sequence continues.

Since is divided by to get at the end of the given numbers, the next step is to multiply by . This gives the number as the next in the sequence. The pattern is to divide by after multiplying by , so the number after is given by divided by , which is .

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is multiplying by twos! So, to find the next number, we need to multiply the number before the blank space by two.

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is subtracting by fives! So, to find the next number, we need to subtract the number before the blank space by .

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is dividing by four! So, to find the next number, we need to divide the number before the blank space by .