FTCE 5-9 Math TEST- Number Sense Day 1

​FTCE 5-9 Math Test- Number Sense Day 1

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Multiple Choice

Number Sense -Place Value

Which statement is true? #1

• 123,876<123,678

• 123,876<122,879

• 123,876>123,678

• 545>547

Multiple Choice

Which shows 64,879 in expanded form? #2

• 6+4+8+7+9

• 600,000+4,000+80+79

• 60,000+4,000+800+70+9

• 60,000+400+80+70+9

Multiple Choice

#3

• 34,985    34,589    34,895    33,764

• 33,764   34,895    34,589    34,985

• 34,985   34,895   34,589   33,764

• 33,764   34,589   34,895   34,985

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Multiple Choice

Number Sense-Integers

Simplify

(−15) + 12 +(−4) +1 #5

• -7

• 7

• -9

• -6

Multiple Choice

Consider the expression:

(2+y)÷z²−6

If you know the value of y and z, then in which order would you carry out the four operations in this expression in order to evaluate it? #6

• Add, square, divide, subtract

• Add, divide, subtract, square

• Square, divide, add, subtract

• Add, divide, square, subtract

Multiple Choice

What is $$3\sqrt[]{7}+4\sqrt[]{7}$$ ? #7

• 49

• $$12\sqrt[]{7}$$

• $$7\sqrt[]{7}$$

• $$7\sqrt[]{14}$$

Multiple Choice

What is the following sum: #8

88%+ $$\frac{2}{3}$$ +4.75

• 6

• 6.29

• 6.3

• $$6\ \frac{89}{300}$$

Multiple Choice

Pick the correct order for Order of Operations. #10

• Parentheses, Multiplication, Division, Addition, Exponents, Subtraction

• Exponents, Multiplication, Division, Addition, Parentheses, Subtraction

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Multiple Choice

Number Sense-Factors

Plastic forks come in packages of 12 and plastic spoons come in packages of 8. If you want one fork for each spoon at a party with none leftover, what is the least amount of forks and spoons that you need to buy? #11

• 4

• 24

• 48

• 96

Multiple Choice

Which of the following lists show multiples of 14? #12

• 14, 114, 214

• 28, 42, 70

• 54, 84, 154

• 70, 96, 114

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Multiple Choice

Number Sense-Scientific Notation

How would you write 564,000,000 in scientific notation?

• 5.64 x 10^-7

• 5.64 x 10⁶

• 5.64 x 10⁸

• 56.4 x 10⁷

Multiple Choice

Write 0.00000707 in scientific notation. #14

• 7.07 x 10^-6

• 7.07 x 10⁶

• 707 x 10⁸

• 707 x 10^-8

Multiple Choice

Multiply: #15

(3.4 x 10⁵)(1.2 x 10^-3)

• 4.08 x 10^-8

• 4.8 x 10²

• 4.08 x 10²

• 4.08 x 10^-15

Multiple Choice

Divide: #16
(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰

• 3 x 10⁴

• 3 x 10^-4

• 3 x 10^-11

Multiple Choice

$$\sqrt{10}$$  

Number Sense - Estimating

Which is a reasonable estimate for the square root shown above? #17

• 2

• 3.2

• 5.6

• 7.9

Multiple Choice

$$\sqrt{35}\$$ Which is true about this number? #18

• It is between 5 and 6 closer to 6

• It is between 5 and 6 closer to 5

• It is between 6 and 7 closer to 6

• It is between 6 and 7 closer to 7

Multiple Choice

What total value is shown? #19

• 3521

• 1362

• 136

• 346

Multiple Choice

Number Sense-Consecutive Integers

Which of the following setups would be used to find four consecutive integers? #20

• n
  n+2
  n+4
  n+6

• n
  2n
  4n
  6n

• n+1
  n+2
  n+3
  n+4

• n
  n+1
  n+2
  n+3

Multiple Choice

Find three consecutive even integers whose sum is 84. #21

• 26, 28, 30

• 28, 30, 32

• 27, 28, 29

• 24, 26, 28

Multiple Choice

The sum of three consecutive even integers is 618.  What is the largest number in the group? #22

• 207

• 209

• 206

• 208

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Multiple Choice

Solving Inequalities #23

Solve the inequality.
-2x + 9 ≤ -11

• x > 10

• x < 10

• x ≥ 10

• x ≤ 10

Multiple Choice

Solve and graph the inequality. #24
3 + 9k > 111

• A

• B

• C

• D

Multiple Choice

Solve the inequality. #25
-8k - 4 ≤ -60

• k < 7

• k > 7

• k ≤ 7

• k ≥ 7

Multiple Select

Choose all the values for b that make the inequality true. #27 $$7b+3b>-8+6b$$  

• -1

• -2

•  0

• -6

• -50

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Multiple Choice

Exponents

Which is a simplified form of the following expression? #28

• 6a⁵b¹²

• 4a⁵b¹²

• 6a⁵b⁸

• 4a⁵b⁸

Multiple Choice

#29

• A

• B

• C

• D

Multiple Choice

Simplify.  #30

• A

• B

• C

• D

Multiple Select

Select the expressions that are equivalent (equal) to $$\left(m^7\cdot m^3\right)^4$$  . (There is more than one answer!) #31

• $$m^{40}$$  

• $$m^{28}\cdot m^{12}$$  

• $$m^{11}\cdot m^7$$  

• $$\left(m^{10}\right)^4$$  

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Multiple Choice

Least Common Multiple

What is the LCM of 4,8, and 28? #33

• 4

• 56

• 14

• 28

Multiple Choice

What is the LCM of 2, 5, & 8? #34

• 10

• 20

• 30

• 40

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Multiple Choice

Convert 36% to a fraction in simplest form. #35

• 9/25

• 36/100

• 18/50

• 36/50

Multiple Choice

Convert 0.006 into a fraction in simplest form. #37

• $$\frac{3}{500}$$

• $$\frac{6}{500}$$

• $$\frac{6}{1000}$$

• $$\frac{2}{500}$$

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Multiple Choice

Prime Factorization

Find the prime factorization for 80. #38

• 4² ⋅ 5

• 2⁴ ⋅ 5

• 2 ⋅ 2 ⋅ 2

• 8 ⋅ 5 ⋅ 2

Multiple Choice

What is the prime factorization of 192? #39

• 3 ⋅ 6²

• 2⁶ ⋅ 3

• 2⁸ ⋅ 3

•  3 ⋅ 8² 

Multiple Choice

Proportions

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct? #41

• 2 cups flour

• 2.5 cups milk

• 2 cups sugar

• 2.5 cups oil

Multiple Choice

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours? #42

• 480 miles

• 1,960 miles

• 84 miles

• 25 miles

Multiple Choice

Order of Operation

Simplify! #44

• 1

• -4

• -1

• 2

Multiple Choice

Simplify! #45

• 5

• 9

• -18

• -9

Multiple Choice

Computing Sales Tax

A new home is being furnished with a couch that costs $687.50. How much will the couch cost after a 6% sales tax is applied? #47

• $687.50

• $693.50

• $41.25

• $728.75

Multiple Choice

Vicky made some purchases at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25, and a bouquet of flowers for $9.95. If a sales tax is 5%, what will Maria pay altogether? #48

• $16.49

• $16.48

• $15.70

• $16.50

Multiple Choice

How much tip should you leave on a $54.50 bill if you want to tip 15%? #49

• $8.00

• $8.18

• $8.17

• $62.68