Questions and Answers
Salsa's recipe calls for 3 cups flour for every 2 cups sugar. If Salsa has 27 cups flour, how many cups of sugar does she need?
18 cups
Nuttella can run 8 miles in an hour and 16 minutes. How long does it take her to run one mile?
9.5 minutes
The cost of 12 goldfish is $39. What is the rate?
39 dollars for every 12 goldfish
AA can make 4 batches of cookies in half an hour. How many batches can she make in an hour and 45 minutes?
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What is 1/2 of 1/3?
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What is 3/4 divided by 1/8?
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(8 1/2n - 3)4 = 430. What is n?
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What is the prime factorization of 98?
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Find the mean of the numbers: 39, 34, 35, 42, 45, and 12.
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Find the mode of the numbers: 92, 100, 100, 23, 24, 99, 13.5, 13.5, 100.
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Find the median of the numbers: 21, 32, 45, 60, 13, 25.
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Use the distributive property to rewrite 3(15 - h).
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What is 52 divided by 0.25?
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A cylinder has a diameter of 4 and a height of 14. What is the area?
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What is 5 to the power of 4?
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What is the square root of 49?
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What is 5 + 3 to the 2nd power x 4 - 10?
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What is 2x(3x4+2)+(5x3-1)?
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If 5t = 54, what is the value of t?
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Llama graphs the point x at (-5, 3). Which quadrant is point x?
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A bus travels for 12 miles at a constant speed of 60 miles an hour. How long in minutes does the bus travel?
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A square has an edge that measures 5. What is the volume?
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What is a secant line?
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What is a tangent line?
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What is a chord?
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What is a diameter?
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What is a radius?
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What is the circumference?
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What is the circle area formula?
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What is the circumference formula?
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What is the triangular prism volume formula?
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What is a rational number?
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What is an integer?
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What are whole numbers?
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75% of __ is 120.
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What is 0.25 times 0.25?
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What is 3.7 minus 2.06?
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What is 17 9/10 plus 4.02 plus 3 1/5?
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Study Notes
Algebra and Ratios
- Salsa's recipe ratio: 3 cups flour per 2 cups sugar; requires 18 cups sugar for 27 cups flour.
- Nuttella's pace: 8 miles in 1 hour and 16 minutes translates to 9.5 minutes per mile.
- Cost calculation: 12 goldfish priced at $39 indicates a rate of $39 for 12 fish.
Functions and Proportions
- AA's cookie production: Makes 4 batches in 30 minutes, totaling 14 batches in 1 hour and 45 minutes.
- Fraction multiplication: 1/2 of 1/3 equals 1/6.
- Division of fractions: 3/4 divided by 1/8 results in 6.
Equations and Factorization
- Equation solution: For (8 1/2n - 3)4 = 430, the value of n is 13.
- Prime factorization: 98 can be expressed as 7² x 2.
Statistical Measures
- Calculating the mean of a dataset: Mean of {39, 34, 35, 42, 45, 12} is 34.5.
- Mode identification: The mode of {92, 100, 100, 23, 24, 99, 13.5, 13.5, 100} is 100.
- Median calculation: Median of {21, 32, 45, 60, 13, 25} is 28.5.
Mathematical Properties
- Distributive property: 3(15-h) is rewritten as (3x15) - (3h).
Basic Operations
- Division of decimals: 52 divided by 0.25 equals 208.
- Cylinder volume computation: A cylinder with diameter of 4 and height of 14 has a volume of 175.84 cubic units.
Exponents and Roots
- Exponential calculation: 5 to the power of 4 equals 625.
- Square root determination: The square root of 49 is 7.
Complex Expressions
- Evaluate 5 + 3² x 4 - 10; the result is 31.
- Calculate 2 x (3 x 4 + 2) + (5 x 3 - 1), yielding 42.
Linear Equations
- Solving for t: 5t = 54 results in t equaling 10.8.
Coordinate Geometry
- Point location: Point x at (-5, 3) is in Quadrant 2.
Distance and Speed
- Bus travel time: A bus covering 12 miles at 60 mph takes 12 minutes.
Geometry
- Volume of a square with edge 5 is 125 cubic units.
- Definitions:
- Secant line intersects a circle at two points.
- Tangent line intersects a circle at one point.
- Chord: Segment connecting two points on a circle.
- Diameter: A line through the center of the circle.
- Radius: A line from the center to the circumference.
- Circumference: The total distance around a circle.
Formulas
- Circle area: πr².
- Circumference formula: C = πd.
- Triangular prism volume: (l x w x h)/2.
Number Types
- Rational number: Can be expressed as a fraction.
- Integer: Whole numbers including positive, negative, and zero.
- Whole numbers: Counting numbers beginning from 0.
Percentage Problems
- 75% of an unknown value is 120, resulting in the unknown being 160.
Decimal Multiplication
- 0.25 x 0.25 equals 0.0625.
Subtraction in Decimals
- 3.7 - 2.06 results in 1.64.
Mixed Numbers and Decimals
- Calculation: 17 9/10 + 4.02 + 3 1/5 totals 25.12.
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Description
This quiz features a series of flashcards designed to help students prepare for a math placement test. Each card presents a mathematical problem with its solution, covering topics like ratios, speed, and costs. Perfect for mastering essential math skills and building confidence ahead of the test.
