Region 1 scaffold materials for the March 2006 Math Exam Book 2.
Region One Mathematics Scaffold Questions
Constructed by A.U.S.S.I.E consultants in support of the Region 1 Math team.
Region 1 scaffold materials for the March 2006 Math Exam Book 2.
Question 26 (6.G.2) This problem is worth 2 points.
26a. Calculate the area of this rectangle using the rule A = l x w.
Show your work. (use the rule and substitute)
Answer. ______square feet.
26b. This rectangle shows the shape of Mr. Hill’s front room.
Calculate the area of this rectangle.
Show your work. (You must show you know the rule)
Answer. ______square feet.
26c. Here is a diagram of Mr. Rose’s garden. It is very long and he wants to spread seed over the garden.
He wants to know how much area is in his garden. What is the area of his garden?
Answer. ______square yards.
On the lines below, explain how you got your answer.
(You should use say what rule you used, how you used the 10 yards and 20 yards in your answer and show your work.)
Question 27 (6.N.11) This problem is worth 2 points.
27a. Make this fraction into a percent. 5 out of 20.
Show your work. (Remember to simplify and use an equals = sign correctly )
Answer. ______%.
27b. Ms Johnson’s class has a bucket of colored tiles. 40 of the 80 tiles are blue.
Make this into a percent.
Show your work. (Remember to simplify and use an equals = sign correctly )
Answer. ______%.
27c. There are 20 pages in Jessica’s notebook. 4 out of the 20 pages have writing on them.
What percent of the pages are written on?
Show your work.
Answer. ______%.
Question 28 (5.G.14) This problem is worth 2 points.
28a Part A
On the grid draw a rectangle. Make sure you follow the lines.
Part B.
How many units are on each side? A…………..
B………….
C…………..
D…………..
How many units all the way round? ………………..units.
28b
Part A
On the grid draw a rectangle that has one side 8 units long. Make sure you follow the lines.
Part B.
How many units are on each side? A…………..
B………….
C…………..
D…………..
What is the perimeter of your rectangle? ……………..units.
28c
Part A
On the grid draw a rectangle that is 20 units all the way round. Make sure you follow the lines.
Part B.
How many units are on each side? A…………..
B………….
C…………..
D…………..
What is the perimeter of your rectangle?
……………..units.
Question 29 (6.M.1) This problem is worth 3 points.
29a
Part A. This cooler looks like a box. It has a length = 3 feet, width = 1 foot and a height = 2 feet
Use the formula
What is the volume of the box?
Show your work.
Answer. ______cubic feet.
29a Part B. If the height of the box is doubled,
what will the volume of the new box be?
Answer. ______cubic feet.
On the lines below, explain how you found your answer.
(Remember to use sentences)
29b
Part A. This waffle maker looks like a box.
It has a length = 10 inches, width = 6 inches and a height = 4 inches
Use the formula
What is the volume of the box?
Show your work.
Answer. ______cubic inches.
Part B.
If the length of the box is doubled,
what will the volume of the new box be?
Answer. ______cubic inches.
On the lines below, explain how you found your answer.
(Remember to use sentences)
There is no 29c
Question 30 (5.A.4) This problem is worth 2 points.
30a What value in the box makes this equation true?
DO NOT USE ADDITION TO SHOW YOUR WORK
Show your work.
Answer. = ______
30b What value of m makes this equation true? Use inverse operations to show your work.
m
Show your work.
Answer. m = ______
30c Solve the equation below for d.
d
Show your work.
Answer. d = ______
Question 31 (6.A.1) This problem is worth 2 points.
Algebra words and their meanings.
More means + (add) / 3 more than means +3Less means - (subtract) / Fewer means - (subtract)
10 less than means -10 / 6 fewer than means -6
Double means / Twice means
A certain number means “n” / Half the number means
31a Write as an expression 3 less than a number , n.
Expression ______
31b Julie has a number of beads, b. She bought more beads and doubled her number of braids.
Write an expression to show how many beads she has now.
Expression ______
31c On Saturday, Jimmy saw a number of buses, b. On Sunday he saw twice that number and 1 more.
Write an expression for the number of buses he saw on Sunday.
Expression ______
Question 32 (6.N.24) This problem is worth 2 points.
32a What does mean? What does mean?
Which expression above is the greatest?
Show your work.
Answer: ______is the greatest.
32b Eduardo is comparing two expressions below? He wants to know which of these is greater?
or
Which expression above is the greatest?
Show your work.
Answer: ______is the greatest.
32c Antoinette is comparing two expressions below?
The first expression is . The second expression is
Which expression above is the greatest?
Show your work.
Answer: ______
Question 33 (6.N.12) This problem is worth 3 points.
33a Part A. Find 25% of 80.
Show your work.
Answer: ______
Part B. What is 10 out of 40 as a percent.
Show your work.
Answer: ______%
33b Part A. At John Jay Middle School, 20% of the 200 students wear
sneakers or boots to school.
How many students wear sneakers or boots to school?.
Show your work.
Answer: ______students.
Part B. There are 10 students who wear boots.
What percent of the sneaker and boot students is that?
Show your work.
Answer: ______%
33c Part A. In Annessa’s sock drawer, 25% of her 48 socks are either Red or Blue.
How many of her socks are either Red or Blue?
Show your work.
Answer: ______socks.
Part B. 9 of her socks are Red. Of her Red and Blue socks, what percent are RED?
Show your work.
Answer: ______%
Question 34 (5.S.5) This problem is worth 3 points.
34a Part A.
There are 40 pennies and 20 dimes in this jar.
What is the probability of randomly picking a dime from the jar?
Probability ______.
Part B. Explain your answer.
34b Part A.
Manny has a jar that holds 80 M&Ms. 50 of the M&Ms are red, 10 are blue and the rest green.
What is the probability of picking a green from the jar?
Probability ______.
Part B. Explain your answer.
34c Yudy has a basket with 20 colored balls in it. Half the balls are black, 4 are bright red, and the rest bright yellow.
Part A
If Yudy picks out one ball at random, what is the probability that it will be a black ball?
Probability ______.
If Yudy randomly picks a ball from the basket, what is the probability that it is a red or yellow ball?
Probability ______.
Explain your answer.
Question 35 (6.N.26) This problem is worth 3 points.
35a Jeter’s sneakers cost $63.89. He got a discount and only paid $31.89.
Part A.
By rounding to the nearest dollar, estimate the amount of money Jeter saved?
Answer. $______
What approximate percent did he save?
Show your work.
Answer. ______%
35b Wilson’s boot’s cost $80.17. He got a discount and only paid $19.99.
Part A. By rounding to the nearest dollar, estimate the amount of money Wilson
saved?
Answer. $______
What approximate percent did he save?
Show your work.
Answer. ______%
35c Hua’s baseball cards cost $80.09. He can sell them for only $59.75.
Part A.
By rounding to the nearest dollar, estimate the amount of money Hua will lose?
Answer. $______
What approximate percent did he lose?
Show your work.
Answer. ______%
Constructed by A.U.S.S.I.E consultants in support of the Region 1 Math team.