Multiple ChoiceMultiple Choice

A carpenter wants to drill a hole that is just A carpenter wants to drill a hole that is just slightly larger than ¼ inch in diameter. slightly larger than ¼ inch in diameter. Which of these is the smallest, but still Which of these is the smallest, but still greater than ¼ inch? greater than ¼ inch?

A. 3/16 inchA. 3/16 inchB. 7/32 inchB. 7/32 inchC. 5/16 inchC. 5/16 inchD. 9/32 inch D. 9/32 inch

Multiple ChoiceMultiple Choice

Beth is covering an 8-foot by 10-foot wall Beth is covering an 8-foot by 10-foot wall with tiles. Each tile is 6-inch by 6-inch with tiles. Each tile is 6-inch by 6-inch square. How many tiles will she need to square. How many tiles will she need to cover the wall? cover the wall?

A. 80A. 80B. 160B. 160C. 320C. 320D. 640 D. 640

Multiple ChoiceMultiple Choice

What is the first step in evaluating the What is the first step in evaluating the expression 15 – 12 ÷ 3? expression 15 – 12 ÷ 3?

A. Subtract 12 from 15.A. Subtract 12 from 15.

B. Divide 12 by 3.B. Divide 12 by 3.

C. Subtract 3 from 15.C. Subtract 3 from 15.

D. Divide 15 by 3. D. Divide 15 by 3.

Multiple ChoiceMultiple Choice Four cities are to be connected with roads so Four cities are to be connected with roads so

that it is possible to drive between any 2 cities that it is possible to drive between any 2 cities without passing through another city. Select the without passing through another city. Select the network that best represents the situation. network that best represents the situation.

A. A.

B. B.

C.C.

D.D.

Multiple ChoiceMultiple Choice

Which expression represents the area (in square units) of the triangle shown?

A. 32x + 48

B. 4x + 14

C. 16x + 24

D. 32x + 6 4x + 64x + 6

88

Short Constructed ResponseShort Constructed Response

A gallon contains 128 ounces. Paul wants to divide 3 gallons of apple cider equally among the 2 dozen friends at his party. How many ounces of apple cider will each friend receive?

128 ounces per gallon x 3 gallons = 384 ounces128 ounces per gallon x 3 gallons = 384 ounces

2 dozen = 12 x 2 = 24 friends2 dozen = 12 x 2 = 24 friends

384 oz divided by 24 friends = 16 oz each.384 oz divided by 24 friends = 16 oz each.

Short Constructed ResponseShort Constructed Response

A bag contains 5 red marbles, 8 blue marbles and 7 green marbles. Arthur reaches into the bag and removes one marble. What is the probability that the marble is red?

Probability = favorable outcome / total outcomesProbability = favorable outcome / total outcomes

5 red marbles out of a total of 20 marbles = 5/205 red marbles out of a total of 20 marbles = 5/20

5/20 = 1/4. Arthur’s probability is 1/4.5/20 = 1/4. Arthur’s probability is 1/4.

Short Constructed ResponseShort Constructed Response

What is the value of ‘x’ if

3x – 5 = x + 7

3x – 5 = x + 73x – 5 = x + 72x – 5 = 72x – 5 = 72x = 122x = 12x= 6x= 6

Short Constructed ResponseShort Constructed Response

The first four terms of a pattern of numbers are shown below

1, 2, 3, 5 ___

What is the next term in the pattern?

1 + 2 = 3, 2 + 3 = 5, so 3 + 5 = 8.1 + 2 = 3, 2 + 3 = 5, so 3 + 5 = 8.

Short Constructed ResponseShort Constructed ResponseOne angle of a triangle measures 52

degrees. The second angle of this triangle measures 75 degrees. What is the measure (in degrees) of the third angle of the triangle?

The sum of the measures of the angles of a The sum of the measures of the angles of a triangle = 180 degrees. triangle = 180 degrees.

52 + 75 + x = 18052 + 75 + x = 180

127 + x = 180; x = 53127 + x = 180; x = 53

Open-Ended QuestionOpen-Ended Question

Make a drawing to show how the four triangles shown below could fit together without overlapping to make a rectangle that is not a square. Show the dimensions of the rectangle on your drawing. What is the area of this rectangle?

55

55 55The dimensions of the The dimensions of the rectangle are 5 by 10.rectangle are 5 by 10.The area is 50 square The area is 50 square inches.inches.

Open-EndedOpen-Ended Linda wants to fence in a rectangular yard for her dogs to run

around and get exercise. She only has 72 feet of fencing, so she decides to use the side of her barn as one side of the fenced-in yard.

Make a table showing the relationship between the width and length of the yard and the area. Remember that the three sides of the yard have to add up to 72 feet. The fourth side of the yard is formed by the side of the barn.

Use the table to determine which width would result in the greatest area for the dogs to run. Explain your reasoning.

barnbarn

????

??

18181818

3636

barnbarn

LengthLength WidthWidth AreaArea

7070 11 7070

6868 22 136136

6666 33 198198

5050 1111 550550

4040 1616 640640

3636 1818 648648

3434 1919 646646

3030 2121 630630

2020 2626 520520

If the length of the fenced-in yard is 36 than the width would have to be 18. 36 + 18 + 18 = 72, and that is how many feet of fence Linda has to use. From the table, a rectangle with dimensions 36 and 18 results in an area of 648 square feet. This is the largest possible area for the fenced-in yard.