Grade 6 Math Test

Student Name Date

Grade 8 Math Test Graphs and measures of central tendency

PART A: Multiple Choice – Please circle the one answer that you think is correct. (20 marks)

Use this circle graph for questions 1 and 2.

Family Budget

Transportation 8% Taxes ?

Savings 5% Food 25%

Clothing 10%

Other 10% Housing 23%

The Johnson family’s income was $34 000 in 2006. The graph above shows how the family budget their money.

1. Calculate the amount that the Johnson family spent for food in one year.

A) $250 B) $850 C) $2 500 D) $8 500

2. How much did the Johnson family pay in taxes in 2006?

A) $646 B) $2 754 C) $6 460 D) $27 540

3. The following table represents Judy’s marks in all of her subjects except science. Which of the following is her mark in science if her mean mark is 84? Subject Mark Math 90 Language Arts 83 Social Studies 78 Health 81 Science A) 78 B) 84 C) 88 D) 90 4. For the following set of numbers, the mean is the same as the median. Which number is missing? , 6, 9, 11, 14

A) 4 B) 5 C) 6 D) 8

5. Five students made the following marks on a test:

John Sarah Peter Joanne Chris 60 60 70 75 90 If Sarah’s mark changes from a 60 to a 70, which measures would change?

A) Mean and Median B) Mean and Mode C) Median and Mode D) Mean, Median and Mode

6. Five of the six students in a Social Studies class received their marks on an assignment. The marks are as follows:

72, 88, 82, 92, 84 What must be the mark of the 6th student if the mean mark for the class is 80?

A) 62 B) 72 C) 80 D) 92

7. The average (mean) temperature over four consecutive days was 2 C. The temperatures for the first three days were: 10C -4C -1C The temperature on the fourth day was

A) -5 B) 5 C) 3 D) -3

For 8 and 9 pick the graph that best describes the situation:

2 Use the box and whisker plot below to answer questions 10-13.

4 PART B – ANSWER ALL OF THE FOLLOWING QUESTIONS. MAKE SURE TO SHOW ALL YOUR WORK. IF YOU ARE DRAWING 3-D DRAWINGS MAKE SURE TO DRAW STRAIGHT LINES (USE A RULER), SHADE IN THE TOPS AND LABEL THE SIDES OF THE BUILDING. ALL WORK MUST BE NEAT!!!!

1. This graph represents a race between Eric and Morgan. (6 marks)

A) Who had a head start in the race? ______

B) Who won the race? ______

C) How many metres long was the race? ______

2. Drew listed all the money he made in the last year.

a). Complete the table. Make sure to show your work – you can put it on loose leaf if you do not have room! (16 marks) Sources of income Money Percent Angle measure Mowing Lawns $ 600 Working with father $1080 Waiter $1920 Gifts from relitives $100 TOTALS

b). Make a circle graph of the results (8 marks)

5 3. Find the mean, median and mode for each: (12 marks) a). 22, 41, 15, 30, 12, 14

b). 3, 6, 17, 8, 5, 10, 22

4. Here are points scored by each member of a basketball team.

12, 16, 8, 3, 28, 14, 2, 11, 1 a). Find the median: (2 marks)

b). Find the lower and upper quartile: (4 marks)

c). Find the lower and upper extremes. (2 marks)

d). Draw a box and whisker plot to show the data (6 marks)

7 6. Find a set of 7 numbers that have a mean of 8 a median of 9 a mode of 9 and a range of 11. (8 marks)