GMAS - Georgia Milestones Assessment System Mathematics Content Areas Questions and Answers 1 — Questions and Answers
Question 1: A middle school is planning a field trip. A bus can hold a maximum of 60 people. If there are 242 students and 18 adults attending, which inequality correctly represents the minimum number of buses, 'b', needed for the trip?
- 60b ≥ 260 (Correct answer)
- 60b ≤ 260
- b + 60 > 242
- 260b ≤ 60
Correct answer: 60b ≥ 260
The total number of people going on the trip is 242 students + 18 adults = 260 people. Each bus holds a maximum of 60 people. The total capacity of the buses (60 times the number of buses, 'b') must be greater than or equal to the total number of people. Therefore, the inequality 60b ≥ 260 correctly represents the situation.
Question 2: Which of the following statements is true regarding the properties of a rhombus?
- All angles are always equal.
- Diagonals are unequal and bisect each other at a 90-degree angle. (Correct answer)
- Only one pair of opposite sides is parallel.
- The sum of interior angles is always 180 degrees.
Correct answer: Diagonals are unequal and bisect each other at a 90-degree angle.
A key property of a rhombus is that its diagonals bisect each other at right angles (90 degrees). While all sides are equal, the angles are not necessarily equal (unless it is also a square). A rhombus is a parallelogram, so both pairs of opposite sides are parallel. The sum of its interior angles is 360 degrees.
Question 3: A student is analyzing a dataset that shows the height of a plant, in centimeters, over a period of 8 weeks. The data is as follows: {3, 5, 8, 10, 13, 14, 16, 17}. What is the median of this dataset?
- 10
- 11.5 (Correct answer)
- 10.75
- 13
Correct answer: 11.5
To find the median of a dataset, the numbers must first be in order, which they already are. Since there is an even number of data points (8), the median is the average of the two middle numbers. The two middle numbers are 10 and 13. The average is (10 + 13) / 2 = 23 / 2 = 11.5.
Question 4: The expression 5(x + 3) - 2x is equivalent to which of the following expressions?
- 3x - 15
- 7x + 15
- 3x + 15 (Correct answer)
- 3x + 3
Correct answer: 3x + 15
To simplify the expression, first use the distributive property to multiply 5 by both terms inside the parentheses: 5 * x + 5 * 3, which gives 5x + 15. Then, combine the like terms: 5x - 2x + 15. This simplifies to 3x + 15.
Question 5: A fifth-grade class is working on a project that requires 2/3 of a yard of fabric for each student. If there are 21 students in the class, how many total yards of fabric are needed?
- 7 yards
- 21 2/3 yards
- 14 yards (Correct answer)
- 31.5 yards
Correct answer: 14 yards
To find the total amount of fabric, you need to multiply the amount needed per student by the number of students. The calculation is (2/3) * 21. This can be solved as (2 * 21) / 3 = 42 / 3 = 14. So, 14 yards of fabric are needed.
Question 6: A student graphed a linear function that passes through the points (2, 5) and (4, 9). Which of the following equations represents this function?
- y = x + 3
- y = 2x + 1 (Correct answer)
- y = 4x - 3
- y = (1/2)x + 4
Correct answer: y = 2x + 1
First, find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1). Using the given points: m = (9 - 5) / (4 - 2) = 4 / 2 = 2. Now, use the point-slope form y - y1 = m(x - x1) with the point (2, 5): y - 5 = 2(x - 2). Distribute the 2: y - 5 = 2x - 4. Finally, add 5 to both sides to get the slope-intercept form: y = 2x + 1.
GMAS - Georgia Milestones Assessment System Mathematics Content Areas Questions and Answers 1
A middle school is planning a field trip.
A bus can hold a maximum of 60 people.
If there are 242 students and 18 adults attending, which inequality correctly represents the minimum number of buses, 'b', needed for the trip?