Fractions, Decimals, and Percentages Quiz

Questions and Answers

Which of the following numbers is not an integer?

1/3 (correct)

The sum of 1/30 and 1/20 is?

1/12

What is 40% of 200?

18 is what percent of 90?

20% Signup and view all the answers

What is the correct conversion of 8.6 dg to hg?

0.086 Signup and view all the answers

What is the correct conversion of 60 c to qt?

15 Signup and view all the answers

What is 5,800,000 written in scientific notation?

5.8 x 10^6 Signup and view all the answers

When simplified, what is (82-16) = 8 - 2 + 1 × 3?

7 Signup and view all the answers

What is the simplified product of 3 bu. 2 pk. and 5?

17 bu. 2 pk. Signup and view all the answers

The next term in the geometric sequence 4, -12, 36, -108 is?

324 Signup and view all the answers

When a = -1 and c = 4, what is the value of 4ac + 5c squared?

64 Signup and view all the answers

Which expression correctly represents the phrase '5 less than x'?

X - 5 Signup and view all the answers

Which is a pair of angles that share a common vertex and side between them?

Adjacent angles Signup and view all the answers

Any polygon that has ten sides is a(n)?

Decagon Signup and view all the answers

Any parallelogram with all sides equal is a?

Rhombus Signup and view all the answers

From which situations can an infinite number of triangles be formed?

AAA Signup and view all the answers

The area between a central angle and its intercepted arc is a(n)?

Sector Signup and view all the answers

Which polyhedron has two faces that are congruent and parallel?

Prism Signup and view all the answers

Which three-dimensional figure is shaped like a donut?

Torus Signup and view all the answers

A net made only of triangles is a?

Tetrahedron Signup and view all the answers

The formula used to find the area of a circle is?

pi r squared Signup and view all the answers

Surface area of this figure is?

180 sq in Signup and view all the answers

The volume of a cube with an edge of 8 m is?

512 m cubed Signup and view all the answers

The volume of a sphere with a radius of 3 cm is approximately?

113.04 cm cubed Signup and view all the answers

The lateral surface area of the figure is approximately?

69,080 mm squared Signup and view all the answers

What is the area of a trapezoid?

1/2 h (b1+b2) Signup and view all the answers

What is the surface area of a square pyramid?

4(1/2 bh) + b squared Signup and view all the answers

What is the volume of a square pyramid?

1/3 b squared h Signup and view all the answers

What is the volume of a cone?

1/3 pi r squared h Signup and view all the answers

What is the volume of a sphere?

4/3 pi r cubed Signup and view all the answers

What is 45 - 10 1/3?

34 2/3 Signup and view all the answers

Solve for X: X/8 = 10/25.

X = 3 1/2 Signup and view all the answers

What is -2 + (-6)?

-8 Signup and view all the answers

What is -7 - (-13)?

6 Signup and view all the answers

What is 12(-4)?

-48 Signup and view all the answers

-15 divided by -3 equals?

5 Signup and view all the answers

Solve for X: 5x = 45.

X = 9 Signup and view all the answers

Solve for X: 3x + 2 = 10 × -5.

X = 1 Signup and view all the answers

Solve the inequality: -4x + 3 ≥ -9.

X ≤ 3 Signup and view all the answers

Study Notes

Fractions and Decimals

1/3: Not an integer; it is a fraction.
1/12: When summed with 1/30 and 1/20, find common denominators to add fractions.
0.0086: Conversion from 8.6 decigrams to hectograms.

Percentages

80: Calculation of 40% of 200, yielding 80.
20%: To determine what percent 18 is of 90, calculate the ratio and convert to a percentage.

Conversions

15: Conversion context where 60 cups equals a certain number of quarts.
60 c. = _ qt.: Ratio involves conversion of cups to quarts.

Scientific Notation

5.8 x 10^6: Scientific notation equivalent for the number 5,800,000.

Simplification and Operations

7: Result of the expression (82-16) = 8 - 2 + 1 × 3 after simplification.
17 bu. 2 pk: Resulting product of multiplying 3 bushels and 2 pecks by 5, simplified appropriately.

Sequences and Geometry

324: Next term in the geometric sequence: 4, -12, 36, -108.
64: Calculation involving values a = -1 and c = 4, leading to a computation of 4ac + 5c².

Algebraic Representations

X-5: Represents the phrase "5 less than x" in algebraic form.
X=3 1/2: Solution derived from the equation X/8=10/25.

Geometric Terms

Adjacent angles: Defined as angles sharing a common vertex and an adjacent side.
Decagon: Polygon with ten sides.
Rhombus: Specific type of parallelogram where all sides are equal.
Torus: Three-dimensional shape resembling a donut.
Prism: Polyhedron with two parallel congruent faces.

Area and Volume Formulas

Area of a circle: Calculated using the formula πr².
Volume of a cube: For a cube with an edge of 8 m, volume is 512 m³.
Volume of a sphere: Approximate volume for radius of 3 cm is 113.04 cm³.
Lateral surface area: Measure approximating 69,080 mm² of a particular figure.
Trapezoid area formula: A = 1/2 h (b1 + b2).
Square pyramid surface area: Calculated as 4(1/2 bh) + b².
Square pyramid volume: Given by 1/3 b² h.
Cone volume: Formula is 1/3 πr² h.
Sphere volume: Calculated using 4/3 πr³.

Integer and Arithmetic Operations

-8: Result of -2 + (-6).
6: Result from operations -7 - (-13).
-48: Product of 12 and -4.
5: The outcome of dividing -15 by -3.
X=9: From the equation 5x = 45, solved via multiplication.
X=1: From the equation 3x + 2 = 10× - 5, solved for x.

Inequalities

X less than or equal to 3: Derived from the inequality -4x + 3 ≥ -9.

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Description

Test your knowledge on fractions, decimals, percentages, and conversions with this quiz. You'll encounter problems that require simplification and operations as well as scientific notation. Get ready to tackle geometric sequences and more!