Math Practice Test 9

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A pump can fill a tank in 6 hours. How much of the tank is filled in 45 minutes? Express as a fraction.
Result:

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Solve: 5/12 = x/36
x =

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8.5 pounds cost $34. Price per pound =

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Radius = 4.5 cm. Use π ≈ 3.14. Circumference ≈ cm

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Base = 12.5 m, height = 7.2 m. Area = m²

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Solve: 12x – 30 = 8x + 26
x =

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If p = 5 and q = -3, evaluate: 4p² – 2pq – q² =

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A population increased from 6,400 to 7,200. What is the percent increase? %

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What is 275% of 80?

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Calculate: 9.25 × 8.4 =

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Calculate: 123.45 + 67.89 + 45.67 =

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Calculate: 7/9 ÷ 14/27 = (in lowest terms)

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Calculate: 13/15 – 7/10 = (in lowest terms)

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Calculate: 9 3/5 + 4 7/10 = (as a mixed number)

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Calculate: 8,008 ÷ 22 =

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Calculate: 888 × 66 =

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Calculate: 9,999 – 4,567 =

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Calculate: 7,777 + 3,333 + 2,222 =

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Two standard dice are rolled. Which events have a probability of 1/12? Select TWO correct answers.

A) Sum of 4

B) Sum of 10

C) Sum of 7

D) First die shows 2

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Given data: 8, 16, 24, 32, 40, which statements are true? Select TWO correct answers.

A) The mean is 24

B) The median is 24

C) The range is 28

D) The mode is 16

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Which statements about triangles are true? Select TWO correct answers.

B) Right triangles have one 90° angle

C) Isosceles triangles have all sides equal

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Which expressions have a value of –6? Select ALL correct answers.

A) –9 + 3

B) 2 – 8

C) –3 × (–2)

D) 12 ÷ (–2)

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Which numbers are factors of 90? Select TWO correct answers.

A) 15

B) 18

C) 25

D) 28

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A rectangular pool (20ft × 18ft) has a 2-foot wide deck around it. What is the area of the deck only?

A) 144 ft²

B) 168 ft²

C) 184 ft²

D) 200 ft²

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A map scale shows 2 inches = 35 miles. If two cities are 140 miles apart, how many inches is that on the map?

A) 6 inches

B) 7 inches

C) 8 inches

D) 10 inches

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Express 0.00000000034 in scientific notation.

A) 3.4 × 10⁻⁹

B) 3.4 × 10⁻¹⁰

C) 34 × 10⁻¹¹

D) 0.34 × 10⁻⁹

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Simplify: (x⁴)³ × (x²)⁵

A) x¹⁶

B) x¹⁴

C) x²²

D) x²⁶

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What is the midpoint of segment AB with endpoints A(-3, 5) and B(7, -1)?

A) (2, 2)

B) (2, 3)

C) (5, 2)

D) (5, 3)

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What is the distance from M to N?

A) 3 units

B) 7 units

C) 11 units

D) 12 units

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What was the percent increase from 2021 to 2023? Round to nearest percent.

A) 35%

B) 43%

C) 54%

D) 65%

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How many volunteers are under 30 years old?

A) 8

B) 15

C) 23

D) 37

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A jar contains 12 nickels, 8 dimes, and 10 quarters. What is the probability of drawing a dime or quarter?

A) 3/5

B) 2/3

C) 7/10

D) 3/4

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Find the median: 45, 38, 52, 41, 39, 48

A) 42

B) 43

C) 44

D) 45

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Find the mean of: 18, 22, 26, 30, 34

A) 24

B) 25

C) 26

D) 27

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Convert 4,500 milligrams to grams. (1 g = 1,000 mg)

A) 0.45 g

B) 4.5 g

C) 45 g

D) 450 g

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Find the area of a circle with radius 7 cm. Use π ≈ 3.14.

A) 43.96 cm²

B) 87.92 cm²

C) 153.86 cm²

D) 307.72 cm²

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A regular octagon has sides of 5.5 meters each. What is its perimeter?

A) 33 m

B) 40 m

C) 44 m

D) 50 m

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Two intersecting lines form four angles. If one angle measures 72°, what is the measure of its vertical angle?

A) 18°

B) 72°

C) 108°

D) 180°

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Given f(x) = 3x² – 4x + 7, find f(-2).

A) 15

B) 23

C) 27

D) 35

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Which inequality represents: “Five less than twice a number is greater than 11”?

A) 2x – 5 > 11

B) 5 – 2x > 11

C) 2x + 5 > 11

D) 2(x – 5) > 11

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Solve: 8x – 19 = 5x + 17

A) 10

B) 11

C) 12

D) 13

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Simplify: 6(2x + 3) – 4(x – 5) + 2x

A) 10x + 38

B) 10x – 2

C) 14x + 38

D) 14x – 2

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A $550 laptop is discounted by 28% for a holiday sale. What is the sale price?

A) $374.00

B) $382.00

C) $390.00

D) $396.00

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Multiply: 0.006 × 500 = ______

A) 0.3

B) 3

C) 30

D) 300

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Subtract: 7/8 – 3/5 = ______

A) 11/40

B) 1/2

C) 19/40

D) 4/3

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A warehouse has 8,640 solar panels. If each shipping container holds 96 panels, how many containers are needed?

A) 85

B) 90

C) 95

D) 100

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