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Surface Area,

Perimeter,

And Volume

Coordinate

Grids

Fractions,

Decimals,

Percent

Probability

Potpourri

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- Sean built a new sandbox and wants to fill it with sand. This is what he needs to know about his sandbox before buying the sand. Choose from the answers below:
- The perimeter of the sandbox.
- The mass of the sandbox.
- The surface area of the sandbox.
- The volume of the sandbox.

What is

D. The volume of the sandbox?

Explanation: The amount of space inside a 3 dimensional object is known as its volume, so that is what Sean needs to know.

- Janet wanted to put new carpeting in her bedroom. Of the following choices, this is the only possible measurement of the area of the floor in her room.
- 100 feet
- 100 square inches
- 100 square feet
- 100 cubic feet

What is

C. 100 square feet

Explanation: Janet needs to know the area of her floor. Area is always expressed in square units. 100 square inches would be much too small for her bedroom, so the only possible answer would be 100 square feet.

- Judy covered a rectangular shaped box with wrapping paper. Of the following choices, this is what she covered of the box.
- Perimeter of the box
- Surface Area of the box
- Volume of the box
- Circumference of the box

What is

B. Surface Area of the box?

Explanation: Surface area is the sum of all the areas of the sides. In this case, Judy is covering the outside faces of the box with wrapping paper, so she covered the surface area of the box.

- Mr. Brown is putting a fence around his yard so his dog cannot get out. Of the following measurements, this is a possible amount of fencing that he would buy:
- 140 centimeters
- 140 yards
- 140 square yards
- 140 cubic yards

What is

B. 140 yards?

Explanation: Mr. Brown needs to know the length of the fence he needs, so his answer can’t be square yards (which is an answer for area) or cubic yards (which is an answer for volume). The only possible answers are 140 centimeters or 140 yards. 140 centimeters is much too short, so 140 yards has to be the answer.

- A fifth grade student at Leighton made the greatest Mother’s Day present possible. The student wrote a note on a piece of paper that said, “Mom, my present to you is that I will always keep my room clean so you never have to nag me about it.” Then, the student put the note in the box and wrapped the box with wrapping paper. Of the following, this could be the amount of wrapping paper the student needed.
- 225 centimeters
- 225 square centimeters
- 225 cubic centimeters
- 225

What is

B. 225 square centimeters?

Explanation: To wrap the box, you need to know the area of each of the faces of the box. Area is always expressed using the word square.

Note to students: This would be a great present!!

This is the ordered pair where the blue dot is located on the coordinate grid to the left.

What is

(2, 5)?

Jill was drawing a rectangle on a coordinate grid. She put three of the points in the locations shown. This the coordinate where the fourth point needs to be.

What is

(5, 3)?

Joe wanted to draw a parallelogram on the grid. She put in the first three points. This is the coordinate where she should put in the fourth point.

What is

(-4, 3)?

An ant needed to travel from one blue dot to the other blue dot in the grid that is shown. The ant could only travel on grid lines. If the distance between each grid line on the grid is 1 cm., this is the shortest distance the ant could travel.

What is

10 centimeters?

Sam drew the triangle in blue on the grid to the left. If each square on the grid is 1 square centimeter, this is the area of the blue triangle.

What is

6 square centimeters?

- Look at the following groups of numbers. This is the group that has the numbers in order from least to greatest.
- 43%, ½ , 0.52, ¼, 87%
- ¼ , 0.52, ½ , 87%, 43%
- 87%, 0.52, ½ , 43%, ¼
- ¼ , 43%, ½ , 0.52, 87%

What is

D. ¼ , 43%, ½ , 0.52, 87%?

Sally cut a cake into 8 equal pieces. She gave her mom 2 pieces and her dad 1 piece. This is the percent of the cake she had left.

What is

62.5%?

The figure to the left is a square. Julie put her finger on Point A. She moved her finger from Point A to Point B to Point C to Point D. This is the percentage of the way she went around the figure.

A

B

C

D

What is

75% of the way around the figure?

Look at the drawing above. This is the percentage of boxes that have a

shape in them.

What is

33 1/3 %?

Tony made a plate of cookies. One fourth of the cookies were chocolate chip, 0.6 of the cookies were peanut butter, and the rest of the cookies were oatmeal. This is the percent of the cookies that were oatmeal.

What is

15%?

Alex has a spinner divided into 8 equal parts with the numbers 1 – 8 on each part. He spins the spinner one time. This is the probability, expressed as a percent, that he will spin a number that is a factor of 8.

What is

50%?

The spinner to the left is divided into 5 equal parts. The spinner is spun 1000 times. According to theoretical probability, this is the number of times it should land on the letter A.

What is

200 times?

Mr. Linden wrote all the letters in his last name on 6 different pieces of paper.

He then put the 6 pieces of paper in a paper bag and took 1 piece out at random. This is the probability, expressed as a lowest term fraction, that the letter he took out was the letter ‘n’.

What is

1/3?

- Of the following choices, this is the number of possible outcomes in the above situation.
- 2
- 6
- 8
- 12

What is

D. 12?

Andy has 20 marbles in a bag. 10 of them are red, eight are black, and the rest are blue. Andy plans to take out a marble out of the bag, record its color, and then return the marble to the bag. He plans on doing this 10 times. According to theoretical probability, this is the number of times he should pull out a blue marble out of the 10 times.

What is

1 blue marble?

A

C

D

B

In the drawing above, these two line segments appear to be perpendicular to each other.

What is

AC and CD

Or BD and CD?

x

- The width of the rectangle above is ‘x’ units. The length of the rectangle is 4 times longer than the width. This expression below is the length of the rectangle.
- x + 4
- 4 + x
- x ÷ 4
- 4x

What is

D. 4x?

- A circular table has a circumference of 18 feet. This is a reasonable approximation for the diameter of the table.
- 6 feet
- 9 feet
- 12 feet
- 21 feet

What is

A. 6 feet?

Emily decided to sell a lot of her old books at a garage sale. She sold 30 books for $2 each and 10 books for $1.50 each. This is how much money she got for all the books she sold.

What is

$75?

The width of the rectangle below is x inches. The length of the rectangle is x + 5 inches. Of the following expressions, this one could be used to find the perimeter of the figure.

- x + x + 5C. x (x + 5)
- x + 5D. x + x + 5 + x + x +5

x + 5

x

What is

D. x + x + 5 + x + x + 5?