Grade 6 Exam Review

Grade 6 Exam Review

Unit 9 Area

What are parallelograms?

• a four-sided, two-dimensional figure with opposite sides that are parallel

• To find the area, we are calculating the number of units that a two-dimensional shape consists of.

• To find the area, we multiply the length times the width.

• Area = L x W

Multiple Choice

A parallelogram has a base of 6 cm and a height of 12 cm. Find the area.

• 2 cm²

• 72 cm²

• 18 cm²

Multiple Choice

A parallelogram has an area of 42 cm and a base of 7. Find the height of the shape.

• 6 cm

• 49 cm

• 36 cm

Multiple Choice

Find the area of the parallelogram.

• 3 cm²

• 30 cm

• 54 cm²

What are triangles?

• A triangle is a shape with three sides.

• To find the area of the triangle, multiply the base times height and divide by 2

Multiple Choice

Find the area of the triangle.

• 12

• 60

• 54

• 6

Multiple Choice

Calculate the area of the triangle. Count the boxes for the length. Then count the boxes for the height. Multiply and divide by 2.

• 20

• 14

• 34

• 52

What are trapezoids?

• a four-sided shape with exactly two parallel sides

• To find the area of the trapezoid, add the bases, multiply by the height and divide by two.

• Area =  $\frac{\left(b1\ +\ b2\right)h}{2}$  

Multiple Choice

Shamma draws a trapezoid. The trapezoid has a base of 12 cm and 3 cm. The height of the trapezoid is 5 cm. What is the area of the trapezoid?

• 52.2 cm²

• 40 cm²

• 37.5 cm²

Multiple Choice

Find the area of the trapezoid.

• 7

• 10

• 22

• 52

What are composite figures?

• a  figure that is made up of two or more basic shapes

• Each of these are composite figures because each of them has more than one shape put together.

• Example: Figure L is a triangle and a rectangle.

Open Ended

Dana drew the following shape to look like a house. Find the area of the composite figure.

Multiple Choice

Calculate the area of the composite figure.

• 520

• 360

• 200

Changes in Dimension

• Dimensions refer to the area or the perimeter

• Area = the space inside of a shape

• Perimeter = the distance around a shape. Add the sides together.

Multiple Choice

Each side of a rectangle with a length of 5 cm and a width of 2 cm is multiplied by 3 to make a new figure.

What is the perimeter of the new figure?

• 12 cm

• 20 cm

• 42 cm

• 15 cm

Multiple Choice

Each side of a triangle is doubled. Describe the change in perimeter.

• The new perimeter is half of the original.

• The new perimeter is two times the original.

• The new perimeter is equal to the old perimeter.

Unit 10 Volume and Surface Area

What is volume?

• the amount of space an object takes up

• To calculate the volume of a rectangular prism, we must multiply the length times width times height.

• OR

• B (area of the base) x Height

Multiple Choice

Find the volume of the rectangular prism.

• 25 cm³

• 36 cm³

• 20 cm²

Multiple Choice

Find the missing dimension.

• 122 cm

• 15 cm

• 1.5 cm

• 20 cm

Volume of triangular prism

• To calculate the volume of a triangular prism, determine the shape of the base.

• Multiply the base x the height and divide by 2

Multiple Choice

Calculate the volume of the triangular prism.

• 84 cm³

• 52 cm³

• 50 cm³

Multiple Choice

Calculate the volume of the triangular prism. (notice the shape of the base)

• 15

• 231

• 545

• 108

Volume of a Pyramid. What are pyramids?

• a polyhedron that consists of a polygon as a base with at least three triangular faces that meet at the apex

• To find the volume of a pyramid:

• Volume =  $\frac{\left(area\ of\ base\right)h}{3}$  

• Be sure to check what kind of base the shape has.

Multiple Choice

A pyramid has a base that is a rectangle. The rectangle has a length that is 5 meters and a width that is 3 meters. The height of the pyramid is 10 meters. Find the volume and of the pyramid.

• 59 m³

• 50 m³

• 150 m³

Surface Area

• the total area of all of the faces of a three-dimensional shape

• Formula: (2lw) + (2wh) + (2lh)

Multiple Choice

Find the surface area of the rectangular prism.

• 60 cm

• 72 cm

• 11 cm

• 20 cm

Surface area of triangular prism

• Find the area of all faces

• Add the faces together.

Multiple Choice

Find the surface area of the triangular prism.

• 127.6 square centimeters

• 152 square centimeters

• 200 square centimeters

Surface Area of Pyramids

Multiple Choice

A square pyramid has a side length of 4 cm and slant height of 6 cm. The surface area of the square pyramid is _____ square centimeters.

• 64

• 70

• 15

• 10

Unit 11 Statistical Measures

Mean, Median, Mode, Range

• •Mean: add all the numbers then divide by how many numbers you have.

  •Median: Order from smallest to largest. Find the number in the middle. If there are two middle numbers, add them and divide by 2.

  •Mode: Which number appears the most?

  •Range: Subtract the lowest number from the largest. 

The first/lower quartile is the median of the lower half.

The third/upper quartile is thed median of the upper half.

Open Ended

1. The ages of students in class are 12, 11, 11, 11, 13, 12, and 11. Find the following measures for the data:

Mean

Median

Mode

Range

First/lower quartile

Third/upper quartile

Interquartile range

Outliers

Mean Absolute Deviation

• Step 1: Find the mean of the data

• Step 2: Subtract the mean from each number in the data (deviations)

• Find the mean of the deviations

Multiple Choice

Find the mean absolute deviation of the data.

• 2

• 3.96

• 1.78

• 5.

Unit 12 Statistical Displays

Open Ended

1. How many students sold more than 399 AED?

2. Which interval of sales has the most?

3. In total, how many students had sales?

Open Ended

Identify the median, upper quartile, lower quartile, lowest data and highest data from the box plot.

Answers

• The lowest number is 6.

• The highest number is 13.

• The median is 9.

• The first/lower quartile is 8.

• The third/upper quartile is 11.