# FTCE : Knowledge of number sense, concepts, and operations

## Example Questions

### Example Question #1 : Knowledge Of Number Sense, Concepts, And Operations

Give the next number in the sequence:

Explanation:

The sequence of numbers is formed by starting with 5, and, for each consecutive term, adding a quantity that increases by 1 each time. The sequence is

,

the missing entry.

### Example Question #2 : Knowledge Of Number Sense, Concepts, And Operations

How many elements are in ?

Explanation:

denotes the union of and , the set of all elements that are in , , or both. To find this set, first, collect the elements in both sets:

Arranging:

Removing duplicates:

There are 12 elements in this set.

### Example Question #3 : Knowledge Of Number Sense, Concepts, And Operations

How many elements are in ?

Explanation:

denotes the intersection of and , the set of all elements the two sets have in common. These elements are underlined below:

is a set with three elements.

### Example Question #4 : Knowledge Of Number Sense, Concepts, And Operations

Evaluate:

Explanation:

In the order of operations, any operation within parentheses is always performed first. First, add 12 and 25:

Multiplication takes precedence over subtraction. Multiply 13 by 8 next:

Now subtract:

### Example Question #3 : Knowledge Of Number Sense, Concepts, And Operations

Calculate

and round the result to the nearest hundredth.