# SSAT Upper Level Math : Number Concepts and Operations

## Example Questions

### Example Question #1 : Basic Addition, Subtraction, Multiplication And Division

Explanation:

Use order of operations, so you would first complete the operation in the parentheses, which would give you .

Then you do exponenets, so .

Then you do division which is .

Then you do addition from left to right, so .

Last, you add  to , which is .

### Example Question #10 : Basic Addition, Subtraction, Multiplication And Division

Simplify:

Explanation:

To simplify this expression, regroup and combine like-terms.

### Example Question #11 : Basic Addition, Subtraction, Multiplication And Division

Explanation:

Subtract the two numbers, being careful not to forget to remove the borrowed number.

You can also add the solution back to 1296 to check your work, as addition is easier than subtraction.

### Example Question #21 : Number Concepts And Operations

Explanation:

First convert into a decimal.

So we are left with , which is 4.5 in decimal form.

Now subtract:

### Example Question #1091 : Ssat Upper Level Quantitative (Math)

Subtract  from

Explanation:

You set up the expression with  on the top and  on the bottom. Because this is subtraction, remember to distribute the negative sign to the expression on the bottom, and then add, so

you get .

### Example Question #14 : Basic Addition, Subtraction, Multiplication And Division

and  are prime integers.  and .

How many possible values of  are there?

Eight

Seven

Six

Five

Four

Five

Explanation:

The prime integers between 65 and 75 are 67, 71, and 73, so  assumes one of those values; the prime integers between 45 and 55 are 47 and 53, so  assumes one of those values. Therefore, one of the following holds true:

There are five possible values for  (20 appears twice here).

### Example Question #22 : Number Concepts And Operations

and  are prime integers.  and . What is the greatest possible value of ?

Explanation:

The greatest possible value of  is the least possible value of  subtracted from the greatest possible value of . The least prime between 55 and 65 is 59, and the greatest prime between 85 and 95 is 89, so  and  give the greatest possible value of , which is equal to

### Example Question #23 : Number Concepts And Operations

Define an operation  as follows:

For all real numbers ,

Evaluate: .

Explanation:

### Example Question #17 : Basic Addition, Subtraction, Multiplication And Division

Define a function  as follows:

Evaluate .

Explanation:

### Example Question #18 : Basic Addition, Subtraction, Multiplication And Division

Define an operation  as follows:

For all real numbers :

.

Evaluate .