Math Placement Test Practice Flashcards

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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?

14 batches Signup and view all the answers

What is 1/2 of 1/3?

1/6 Signup and view all the answers

What is 3/4 divided by 1/8?

6 Signup and view all the answers

(8 1/2n - 3)4 = 430. What is n?

13 Signup and view all the answers

What is the prime factorization of 98?

7 to the power of two x 2 Signup and view all the answers

Find the mean of the numbers: 39, 34, 35, 42, 45, and 12.

34.5 Signup and view all the answers

Find the mode of the numbers: 92, 100, 100, 23, 24, 99, 13.5, 13.5, 100.

100 Signup and view all the answers

Find the median of the numbers: 21, 32, 45, 60, 13, 25.

28.5 Signup and view all the answers

Use the distributive property to rewrite 3(15 - h).

(3x15) - (3h) Signup and view all the answers

What is 52 divided by 0.25?

208 Signup and view all the answers

A cylinder has a diameter of 4 and a height of 14. What is the area?

175.84 units cubed Signup and view all the answers

What is 5 to the power of 4?

625 Signup and view all the answers

What is the square root of 49?

7 Signup and view all the answers

What is 5 + 3 to the 2nd power x 4 - 10?

31 Signup and view all the answers

What is 2x(3x4+2)+(5x3-1)?

42 Signup and view all the answers

If 5t = 54, what is the value of t?

10.8 Signup and view all the answers

Llama graphs the point x at (-5, 3). Which quadrant is point x?

Quadrant 2 Signup and view all the answers

A bus travels for 12 miles at a constant speed of 60 miles an hour. How long in minutes does the bus travel?

12 minutes Signup and view all the answers

A square has an edge that measures 5. What is the volume?

125 Signup and view all the answers

What is a secant line?

A line that intersects a circle in two points. Signup and view all the answers

What is a tangent line?

A line in the plane of a circle that intersects the circle in exactly one point. Signup and view all the answers

What is a chord?

A segment whose endpoints lie on a circle. Signup and view all the answers

What is a diameter?

A straight line passing from side to side through the center of a circle or sphere. Signup and view all the answers

What is a radius?

A straight line from the center to the circumference of a circle or sphere. Signup and view all the answers

What is the circumference?

The distance around a circle. Signup and view all the answers

What is the circle area formula?

πr² Signup and view all the answers

What is the circumference formula?

C = πd Signup and view all the answers

What is the triangular prism volume formula?

(l x w x h)/2 Signup and view all the answers

What is a rational number?

A number that can be written as a fraction. Signup and view all the answers

What is an integer?

All whole numbers (both positive and negative) and zero. Signup and view all the answers

What are whole numbers?

0, 1, 2, 3... Signup and view all the answers

75% of __ is 120.

160 Signup and view all the answers

What is 0.25 times 0.25?

0.0625 Signup and view all the answers

What is 3.7 minus 2.06?

1.64 Signup and view all the answers

What is 17 9/10 plus 4.02 plus 3 1/5?

25.12 Signup and view all the answers

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.