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Number Sense, Operations, and Properties
1. How many numbers between 20 and 50 have no remainder
when divided by 6?
A. 3
B. 4
C. 5
D. 6
The correct answer is C.
2. What is the fewest number of coins needed to make 99¢,
using only pennies and dimes?
A. 8
B. 14
C. 18
D. 19
The correct answer is C.
3. Using the digits 1 - 7 only once, what is the largest
even number you can make with a 5 in the thousands place?
A. 7,654,321
B. 7,654,312
C. 7,645,312
D. 7,435,216
The correct answer is C.
4. Which of the following shows the decimals in order
from least to greatest?
A. 0.5 0.45 0.54
B. 0.45 0.5 0.54
C. 0.54 0.5 0.45 D. 0.45
0.54 0.5 The correct
answer is B.
5. Estimate 39 X 11. The product is between what numbers?
A. 30 and 80
B. 300 and 800 C.
3,000 and 8,000 D. 30,000
and 80,000
The correct answer is B.
6. 20 X 70
A. 14
B. 140
C. 1,400
D. 14,000
The correct answer is C.
7. A class of 24 students will perform an act for the
spring talent show.
In the class, 2/3 of the students
want to perform a skit. The rest of the students
want to sing a song.
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The teacher decided that 3/4 of the students
must agree on an act before the decision will be final.
. How many more students would have to choose a skit
before 3/4 of the students agree on it?
. Show all of your work and explain your answer.
Find the space for this item in your answer booklet
and write your answer in the space provided.
Sample Item #7
Scoring Rubric
3 points
The student determines that 2 more students must
choose to perform a skit and gives a clear explanation
showing how the answer was found.
2 points
The student determines that 2 more students
must choose to perform a skit and attempts to
explain the answer but does not give a clear
explanation.
OR
The student gives an incorrect number of students
due to a minor error but gives a logical explanation.
1 point
The student attempts to find the correct number
of students and shows some understanding of
the problem, but work shows major errors, incomplete
procedures, or an incomplete explanation.
0-point
The response shows limited to no understanding
of the problem's mathematical concepts |
8. Ted does not believe that 1/6 + 1/6 = 1/3 or that 5/6
- 1/6 = 2/3 .
. Draw a picture for Ted showing why 1/6 +1/6
= 1/3. You may want to use your colored shapes. Explain
your answer.
. Draw a picture for Ted showing why 5/6 - 1/6 = 2/3.
You may want to use your colored shapes. Explain your
answer.
Find the space for this item in your answer booklet
and write your answer in the space provided.
Scoring Rubric
3 points
The student correctly demonstrates why 1/6 + 1/6
= 1/3 or that 5/6 - 1/6 = 2/3.
Explanations may be vague, but the pictures
are sufficient to show understanding of both
operations.
2 points
The student correctly demonstrates why EITHER
1/6 + 1/6 = 1/3 OR 5/6 -1/6 = 2/3.
Pictures are sufficient to show understanding.
1 point
The response fails to meet the requirements
of a "2" but explanations are sufficient to
show partial understanding of at least one of
the computations.
0 points
The response shows limited to no understanding
of the problem's mathematical concepts. |
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