Math Placement Test Practice Flashcards

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.