MCAS (2014) Calc Section

Hooke’s law states that the force needed to stretch a spring varies directly with the length the spring is stretched. A force of 20 newtons will stretch a spring 5 centimeters. What is the total number of centimeters that a force of 60 newtons will stretch the same spring?

• 15
• 20
• 100
• 240

A right circular cone and some of its measurements are shown in the diagram below.
Based on the diagram, which of the following is closest to the volume of the cone?

• 13 cm³
• 38 cm³
• 113 cm³ 
• 151 cm³

The table below shows the numbers of televisions sold at a store in different price ranges last month.
Which of the following could be the median price of the televisions sold at the store last month?

• $140
• $180
• $210
• $240

In the equation below, k and m represent rational numbers. Which of the following must be true?

• either k or m is equal to 1
• k and m are both less than 0
• k is the multiplicative inverse of m
• k and m are both the same distance from 0 on a number line

Ben researched the population of his town for each of the last ten years. He created a scatterplot of the data and noticed that the population increased by about the same amount each year. Ben will determine the equation of the line of best fit for his data. Which of the following statements about the equation of the line of best fit is true?

• The slope is zero.
• The slope is positive.
• The slope is negative.
• The slope is undefined.

The radius of a large sphere is 8 times the radius of a small sphere. The surface area of the large sphere is how many times the surface area of the small sphere?

• 8
• 32
• 64
• 512

In the diagram below, line h is a transversal of lines f and g.
Which of the following relationships proves that lines f and g are parallel?

• ∠1 ≅ ∠4
• ∠1 ≅ ∠5
• ∠1 ≅ ∠6
• ∠1 ≅ ∠7

In the diagram below, the dimensions of a student ID card are shown rounded to the nearest whole inch.
Which of the following could be the actual area, in square inches, of the front of the card?

• 8
• 8.5
• 15.5
• 16

A rectangle has a length of 15 centimeters and a width of 8 centimeters. Which of the following is closest to the radius of a circle that has an area equal to the area of the rectangle?

• 3 centimeters
• 6 centimeters
• 11 centimeters
• 19 centimeters

The first four terms of a quadratic sequence are shown below.
What is the difference between the 5th term and the 6th term of the quadratic sequence?

• 3
• 7
• 11
• 13