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FTCE : Knowledge of number sense, concepts, and operations

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Example Questions

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

Give the next number in the sequence:

$5, 10, 16, 23, 31, \underline{\; \; \; \; \; }$

Possible Answers:

Correct answer:

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

$5+5 = \textbf{10 }$

$10+6 = \textbf{16}$

$16+ 7 = \textbf{23}$

$23+ 8 = \textbf{31 }$

$31+ 9 = \textbf{{\color{Red} 40}}$ ,

the missing entry.

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Example Question #1 : Mathematics

$A= \left \{ \textup{a, b, f, j, k, m, p} \right \}$

$B = \left \{ \textup{c, d, i, k, m, n, p, z}\right \}$

How many elements are in $A \cup B$ ?

Possible Answers:

Correct answer:

Explanation:

$A \cup B$ 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:

$A= \left \{ \textup{a, b, f, j, k, m, p} \right \}$

$B = \left \{ \textup{c, d, i, k, m, n, p, z}\right \}$

$A \cup B = \left \{ \textup{a, b, f, j, k, m, p, c, d, i, k, m, n, p, z } \right \}$

Arranging:

$A \cup B = \left \{ \textup{a, b, c, d, f, i, j, k, k, m, m, n, p, p, z } \right \}$

Removing duplicates:

$A \cup B = \left \{ \textup{a, b, c, d, f, i, j, k, m, n, p, z } \right \}$

There are 12 elements in this set.

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Example Question #1 : Mathematics

$A= \left \{ \textup{a, b, f, j, k, m, p} \right \}$

$B = \left \{ \textup{c, d, i, k, m, n, p, z}\right \}$

How many elements are in $A \cap B$ ?

Possible Answers:

Correct answer:

Explanation:

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

$A= \left \{ \textup{a, b, f, j, \underline{k}, \underline{m}, \underline{p}} \right \}$

$B = \left \{ \textup{c, d, i, \underline{k}, \underline{m}, n, \underline{p}, z}\right \}$

$A \cap B= \left \{ \textup{k,m,p} \right \}$

$A \cap B$ is a set with three elements.

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

Evaluate:

$13 \times 8 -( 12 + 25)$

Possible Answers:

141

377

117

237

Correct answer:

Explanation:

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

$13 \times 8 -( 12 + 25)$

$= 13 \times 8 -37$

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

=104 -37

Now subtract:

= 67

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

Calculate

0.4287+ 0.2398

and round the result to the nearest hundredth.

Possible Answers:

0.70

0.67

0.66

0.69

0.68

Correct answer:

0.67

Explanation:

Add the decimals vertically by aligning the decimal points, and adding the digits without regard to the decimal point:

$\begin{matrix} 0.4287\\ \underline{0.2398 } \\0.6685 \end{matrix}$

Round to the nearest hundredth (second place after the decimal point) by examining the next digit to the right. This digit is an 8, so round the hundredths digit up to 7. This makes the correct choice 0.67.

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FTCE : Knowledge of number sense, concepts, and operations

Study concepts, example questions & explanations for FTCE

All FTCE Resources

Example Questions

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

Example Question #1 : Mathematics

Example Question #1 : Mathematics

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

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

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