MAP MAP Math (Grades 6-7) 3 — Questions and Answers
Question 1: What is the median of the data set {3, 7, 9, 11, 15}?
- 9 (Correct answer)
- 7
- 11
- 10
Correct answer: 9
The median is the middle value of an ordered data set; in {3, 7, 9, 11, 15}, the middle value is 9.
Question 2: What is a linear equation?
- An equation whose graph is a straight line (Correct answer)
- An equation with an exponent greater than 1
- An equation with no solution
- An equation involving fractions only
Correct answer: An equation whose graph is a straight line
A linear equation, such as y = 2x + 3, produces a straight line when graphed on a coordinate plane.
Question 3: What is the probability of rolling a 4 on a standard six-sided die?
- 1/6 (Correct answer)
- 1/4
- 4/6
- 1/3
Correct answer: 1/6
A standard die has 6 equally likely outcomes; only one of them is a 4, so the probability is 1/6.
Question 4: What is the result of 2/3 divided by 1/6?
- 4 (Correct answer)
- 1/9
- 1/4
- 2
Correct answer: 4
2/3 / 1/6 = 2/3 x 6/1 = 12/3 = 4; dividing by a fraction is the same as multiplying by its reciprocal.
Question 5: What does the Pythagorean theorem state?
- In a right triangle, a squared + b squared = c squared, where c is the hypotenuse (Correct answer)
- The area of a triangle equals 1/2 base x height
- All angles in a triangle sum to 180 degrees
- The perimeter equals the sum of all sides
Correct answer: In a right triangle, a squared + b squared = c squared, where c is the hypotenuse
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c squared) equals the sum of the squares of the other two sides (a squared + b squared).
Question 6: Which of the following correctly expresses a negative exponent rule?
- x to the -2 = 1 / x squared (Correct answer)
- x to the -2 = negative x squared
- x to the -2 = x squared
- x to the -2 = negative 1 / x squared
Correct answer: x to the -2 = 1 / x squared
A negative exponent means the reciprocal: x to the -2 = 1 / x squared, so for example, 2 to the -3 = 1/8.
MAP MAP Math (Grades 6-7) 3
What is the median of the data set {3, 7, 9, 11, 15}?