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Measurement Questions & Answers For 8th Grade
Measurement questions and answers suitable for 8th Grade students. The questions are Common Core aligned and follow the framework as set out. Available to see visually online. To utilise the PDF version please click the ‘Download PDF’ option.
Completely free to use and download. For more comprehensive end of 8th Grade question booklets please see our end of year test booklets.
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Sarah and Tom are competing in a bicycle race, and they each record their distance from the starting point over time. Which of the following statements is true based on the illustration shown below?
a) Sarah and Tom have the same speed because they both have positive slopes on their graphs.
b) Tom has a greater speed than Sarah because his graph has a steeper slope
c) Sarah has a greater speed than Tom because her graph has a steeper slope.
d) We cannot determine who has a greater speed based on the graphs provided.
Correct Answers : b)
You are given a description of a linear relationship between the number of hours worked (x) and the amount earned (y) at a part-time job. The description states that for every hour worked, $12 is earned. Additionally, when no hours are worked, there is no earnings. What is the correct linear function that models this relationship?
a) y = 12x
b) y = 12x + 1
c) y = 1/12x
d) y = x/12
Correct Answers : a)
Clark is studying the temperature change in her town over the course of a day. She collects data and plots it on a graph. The x-axis represents the hours of the day, and the y-axis represents the temperature in degrees Fahrenheit. What qualitative feature of the graph does this description represent?
a) The graph shows a linear relationship between time and temperature.
b) The graph exhibits an exponential growth pattern.
c) The graph demonstrates a quadratic relationship.
d) The graph depicts a nonlinear relationship with a turning point.
Correct Answers : d)
A ladder is leaning against a wall. If the ladder is 12 feet long and is placed 8 feet from the wall, how far is the ladder's bottom from the wall?
a) 6.90 feet
b) 8.94 feet
c) 10.92 feet
d) 12.50 feet
Correct Answers : b)
A carpenter is building a wooden fence in the shape of a right triangle. The two shorter sides of the right triangle represent the height of the fence and its distance from the corner of a house. The longer side of the triangle represents the length of the fence. The height of the fence is 6 feet, and it is placed 8 feet away from the corner of the house. What is the length of the fence?
a) 10 feet
b) 14 feet
c) 15 feet
d) 20 feet
Correct Answers : a)
Mark is planning to store water in a cylindrical tank. The tank has a base radius of 3 feet and a height of 10 feet. What is the approximate volume of water the tank can hold in cubic feet?
a) 30π cubic feet
b) 90π cubic feet
c) 283π cubic feet
d) 900π cubic feet
Correct Answers : b)
John is planning to make a special ice cream cone for a school event. He has a waffle cone that is in the shape of a right circular cone with a radius of 4 inches and a height of 8 inches. He wants to calculate the volume of ice cream he can fit into the cone. What is the volume of ice cream that John can fill into the cone?
a) 120 cubic inches
b) 130 cubic inches
c) 134 cubic inches
d) 140 cubic inches
Correct Answers : c)
A school conducts a survey among its students to understand the association between having a part-time job and owning a smartphone. The results are summarized in the two-way table below. What is the relative frequency of students who have a part-time job and own a smartphone?
a) 0.125
b) 0.220
c) 0.350
d) 0.425
Correct Answers : d)
Amy is conducting a study to investigate the relationship between the number of hours students spend studying each day and their scores on a math quiz. She collects data from several students and creates a linear model to represent the relationship. The equation of her linear model is: Score = 3 ⋅ Hours + 75. What does the slope of the equation (3) represent in this context?
a) It represents the initial quiz score of 3 points.
b) It represents the average number of hours students studied.
c) It represents the additional quiz score a student is expected to achieve for each additional hour of study.
d) It represents the intercept of the linear model.
Correct Answers : c)
Sam collected data on the number of hours students spend studying (x) and their corresponding test scores (y). Based on the scatter plot shown below, what kind of association does this suggest?
a) Positive association
b) Negative association
c) No association
d) Nonlinear association
Correct Answers : a)