Grade 8 Math Performance Task

Grade 8 Math Performance Task

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?