Math 2025 - Middle Grades Exam Review

These flashcards cover various mathematical concepts and problem-solving techniques from the Math 2025 lecture notes.

Greatest Consecutive Integers Problem

What is the greatest number of consecutive integers that has a sum of 60?

Camera Timer Problem

At what time will both cameras capture the same picture for the second time?

Rational Number Definition

Which of the following would NOT be considered a rational number?

Seating Arrangement Problem

How many seats are in the 30th row if each row has two more seats than the previous one?

Triangle Pattern Problem

How many small triangles will the 14th drawing have in the given pattern?

Sum of Sequence Problem

What is the sum of the first ten numbers in a sequence with a first term of -14 and a common difference of eight?

Student Enrollment Problem

How many students were enrolled at GCMS ten years ago if the current enrollment is 440, which is 20 more than twice the enrollment then?

GCF Problem

If the GCF for x^3y^2 and x^2y is 63, which of the following could y equal?

Hose Fill Time Problem

If Larry’s hose fills a pool in 12 hours and he buys a second hose that fills it in half the time, how long will it take to fill the pool with both hoses?

Discount Price Problem

What was the original price of the book if Kendra bought it for $16.80 at a 30% discount?

Window Proportion Problem

How wide is a building with a height of 76 feet if each window measures 4 feet in height and 3 feet in width?

Distance Between Cities Problem

What is the distance between cities A (4, 5) and B (-3, -6) in kilometers?

Triangle Angle Ratio Problem

What is the measure of the smallest angle in a triangle with angles in the ratio of 2:3:5?

Speed Conversion Problem

Which of the following correctly converts 35 miles per hour to kilometers per minute?

Baseball Field Problem

If the distance between bases is 90 feet, how many meters will a player have run when they hit a home run?

Water Intake Problem

How many liters of water does an average woman need for 30 days if she requires 11.5 cups a day?

Rectangular Prism Diagonal Problem

What is the length of the diagonal of a rectangular prism measuring 5 inches by 7 inches by 11 inches?

Tangent Line Problem

What is the measure of angle AEC when line AE is tangent to circle C and the measure of arc AD is 50°?

Trapezoid Median Problem

What is the length of the median in trapezoid ABCD if side BC measures 4x + 2 and AD measures x^2 + 3?

Sphere Surface Area Problem

What is the radius of a sphere with a surface area of 864π square inches?

Fencing Problem

What should be the dimensions of each section of a rectangular garden that uses 800 feet of fencing to maximize area?

Rhombus Perimeter Problem

What is the perimeter of a rhombus with diagonals measuring 10 cm and 24 cm?

Cylinder Volume Problem

What is the volume of a cylinder with a circumference of 44 units and a height three times its radius?

Cone Radius Problem

What is the radius of a cone with a volume of 1764π cubic inches and a height of 27 inches?

Cone-Cylinder Volume Relationship Problem

What is the relationship between the volume of a cone and a cylinder when both have the same diameter and height?

Distance Problem with Two Points

How far would a bus travel directly back to the school if it goes 88 miles east and 33 miles south?

Tower Cable Length Problem

How long is the cable needed to attach to the top of a 2080 feet radio tower 1000 feet away from its base?

Triangle Similarity Statement Problem

Which similarity statement is used to prove triangles AED and CEB are similar given parallel sides AD and BC?

Tire Longevity Probability Problem

What is the probability that tires will last for 75,000 miles given certain longevity statistics?

Percentile Rank Problem

What was the percentile rank for Andrea based on the votes received in the student council presidential election?

Data Set Statistical Values Problem

Match variance, standard deviation, and range with their correct values based on the given data set.

License Plate Combinations Problem

How many variations are possible for vanity license plates consisting of two letters followed by four digits?

Dice Probability Problem

What is the probability that the sum of two rolled dice is 5 or 7?

Inequality Graph Problem

Which inequality corresponds to the graph displays?

Inequality Solution Problem

Which inequality has Z ≥ 16/3 as a solution?

Equation Solving Problem

What is the solution for x in the equation (x + 3)/2 = 4x/9?

Circle Center Problem

What is the center of a circle given its equation?

Expression Simplification Exclusion Problem

Which value should be excluded when simplifying the expression?

Function Evaluation Problem

What is the value of the function f(x) = √(x^5) when x = 125?

Direct Variation Problem

What is y when x varies directly as the square root of x?

Linear Points Relationship Problem

What values of x and y make the points on a line true?

Line X-Intercept Problem

What is the x-intercept for the line given by the equation?

Line Slope Problem

What is the slope of the line passing through two specified points?

Exponent Equation Problem

What is the value for x in the equation 3^2 = 4^x?

Fraction Expression Problem

What value of y/z satisfies the equation xy/z = 73 if X is 49?

Polynomial Expansion Problem

What is the coefficient of the fourth term in the expansion of (x + 4)^7?

Quadratic Function X-Intercept Problem

What are the x-intercepts of the given quadratic function?

Perfect Square Trinomial Problem

Which could be the other factor of a quadratic equation with one known factor?

Graph Tensor Relationship Problem

Which equation represents the graph shown?

Expression Simplification Denominator Problem

What is the resulting denominator when simplifying a given expression?