Grade 8 Math Performance Task
This worksheet assesses Grade 8 math skills through performance tasks, including geometry, algebra, and data analysis.
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Grade 8 Math Performance Task
Name:
Date:
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Read each task carefully and answer all questions. Show all your work and explain your reasoning clearly.
1. A 10-foot ladder is leaning against a wall. The base of the ladder is 6 feet from the wall. How high up the wall does the ladder reach? Draw a diagram to support your answer.
2. The cost of renting a bike is $15 plus $3 per hour. Complete the table and write an equation that represents the total cost (C) for renting a bike for 'h' hours.
Hours (h): 1, 2, 3, 4
Cost (C): , , ,
Equation: C =
3. A survey asked students how many hours they spend on homework each week. The results are: 5, 8, 7, 5, 10, 6, 8, 9, 7, 5.
a) Calculate the mean, median, and mode for this data set.
b) If a new student joins the survey and spends 15 hours on homework, how would this affect the mean? Explain your reasoning.
4. A point is located at (3, -2) on a coordinate plane. If the point is reflected across the y-axis, what are the new coordinates?
(3, 2)
(-3, -2)
(-3, 2)
(2, 3)