6th Grade GMAS

Unit 1: Statistics and Data

100

What is the mean of this data?

7, 6, 5, 3, 2, 8, 9

5.71

200

What is the mode of this data set?

88, 19, 16, 64, 38, 19, 23, 19, 90, 88, 16, 19, 54, 88

19

300

What is the median?

18, 22, 9, 8, 16, 23, 24, 10, 11, 14

15

400

The scores of two classes test grades are recorded below. Which class performed better overall? How do you know?

Class A: 89, 87, 46, 99, 100, 98, 86, 52, 88, 82

Class B: 88, 89, 89, 39, 100, 100, 99, 86, 73, 84

Class B performed better overall, with a higher mean and median, even though they had a slightly wider range of scores. The higher average and middle score suggest more consistent strong performance, despite one low outlier (the 39).

500

What is the IQR of this data?

13, 19, 12, 8, 14, 17, 23

7

Unit 2 & 3: Fractions, Decimals, Percent's, Rates, Ratios

100

NO CALCULATOR

2/6 x 3/4   (Simplify your answer)

1/4

200

A serving size of chips is 1/4 of a bag. There is 1/4 of a bag of chips left. There are 2 people sharing the bag. How much of a serving will each person get?

1/8 of the bag which is half of the serving.

300

Lindsey went to lunch at Panera. Her bill was 18.00 but she wants to include a 15% tip. How much will she pay for the tip?

2.70

400

DOUBLE JEOPARDY!!!!

NO CALCULATOR

6/4 ÷  9/15    (SIMPLIFY)

5/2 OR 2 1/2

500

NO CALCULATOR

Liam is measuring the length of his room. If the length is 12.5 feet and the width is 8.2 feet, what is the area of his room in square feet?

102.5 square feet

Unit 4 & 5: Exponents, One Step Equations, Inequalities

100

NO CALCULATOR

2³

8

200

NO CALCULATOR

1⁴⁶⁵

1 :)

300

DOUBLE JEOPARDY!!!

NO CALCULATOR

4³ + 6²

100

400

x/4 = 12

48

500

Solve the inequality:

8x - 3 < 93

12

More Unit 5 & 6: One Step Equations, Volume, Surface Area,

100

DOUBLE JEOPARDY!!!

What is the volume of a rectangular prism with a length of 12cm, a width of 6cm, and a height of 20cm?

1440 cm³

200

The price of gas at a gas station is currently $2.75 per gallon. You want to fill up your cars gas tank, which has a capacity of 12 gallons. How much will it cost to fill up your gas tank?

33.00

300

Lena is saving money to buy a new book. She already has $25 saved, and she needs $50 to buy the book. How much more money does Lena need to save?
Write an equation to represent this problem, using x as the variable. 

25 + x = 50

400

DOUBLE JEOPARDY!!!

The "and" is implying a mixed number

5 and 1/4 - x = 2 and 3/4

2 and 1/2

500

What is the surface area of a rectangular prism with a length of 8 inches , width of 7 inches, and height of 5 inches? 

Surface Area = 2lw + 2lh + 2wh

Surface Area = 112 + 80 + 70 = 

262

Unit 7 & 8: Integers, Absolute Value, Coordinate Planes

100

True or False? How do you know?

-126 > - 89

When comparing negative numbers, the number closer to zero is actually greater.

• -126 is further away from zero than -89, so -126 is actually less than -89.

200

Should the number -7/8 be placed to the left or right of -1 on a number line?

Compare -0.875 to -1.00:

• -0.875 is greater than -1 because it is closer to zero.

Since -0.875 is greater than -1, -7/8 should be placed to the right of -1 on a number line.

300

Which quadrant should each of the following points be placed?

(6, 8)

(-3, 4)

(5, -2)

(-3, 0)

• (6, 8): Quadrant I

• (-3, 4): Quadrant II

• (5, -2): Quadrant IV

• (-3, 0): x-axis

400

Ms. Jackson went on a trip around the United States last summer. Below are the values of the elevations of cities she visited.

Denver: 33(m)

Los Angeles: -19(m)

New York City: - 12(m)

Salt Lake City: 15(m)

Which city is closest to sea level (0 m)?

New York City, with an elevation of -12 m, is the closest to sea level because its absolute value is the smallest.

500

Where would the point (-6, 2) be if you reflected it over the x- axis and then the y-axis?

The point (-6, 2), after being reflected over the x-axis and then the y-axis, will be at (6, -2).