Download Math Student Assessment Gr 6 Number - Mid

6th Grade Number and Operations
Name
Items aligned to core and extended core GLCEs
1. Which mathematical statement would you use to correctly solve this problem: How many
7
books can be placed on a shelf 14 inches long if each book is inch thick?
8
a) 14 •
7
8
b) 14 ÷
7
8
c)
7
÷ 14
8
d)
1
7
÷
8 14
2. 
Which mathematical statement would you use to correctly solve this problem: How many
3
1
servings of salad dressing are in
cup if one serving is
cup?
8
4
a)
3 1
•
4 8
b)
3 1
4 8
  3
c) ÷
4
  1
d) ÷
8
 


1
8
3
4

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3. Write a mathematic statement to find an answer for this problem:
Your class has 10 yards of fabric. They want to make pillowcases. Each pillowcase uses
3
yard.
4

4. Solve the problem in #3 to find how many pillowcases will you be able to make.
How much fabric, if any, will be left over?
5. Solve:
 
 
2 1
• =
3 6
4
7
÷ =
3
8
5 3
• =
4 5
5 1
÷ =
6 2
9 1
• =
4 2
1 1
÷ =
2 2
 
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 


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6. On the number line, mark and label a point for each fraction, decimal, and percent shown
below.
3
8

72%
1
2
0
4
3
1.9
1
7. Find an equivalent decimal for

1
1
2
2
3
5
a) 0.4
b) 0.6
c) 1.6
d) 3.5
8. Find an equivalent decimal for
7
= _________. Show your work.
8
9. Find an equivalent decimal for
12
5
a) 2.2
b) 2.4
c) 5.2
d) 5.4
10. Find an equivalent fraction for these decimals:
0.5
________
0.75
________
0.4
________
2.25
________
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11. Solve 9
1
• 60%
3
(You may have to round your answer.)
a) 5.6
b) 7.5
c) 9.333
d) 560
Solve each of the following without a calculator:
12. 0.75 + 3.3 =
13. 8.2 – 4.7 =
14. 4.3 • 7.5 =
15. 12.4 • 8.04 =
16. 15.6 ÷ 3.2 =
17. What equivalent ratio do you get if you scale up the ratio 3:4 by a factor of 5?
a) 15:20
b) 15:4
c) 3:20
d) 8:4
18. 20% of 150 is:
a) 30
b) 3
c) 3000
d) 7.5
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19. You are buying $45 worth of clothes. The sales tax is 6%. How much sales tax will you
pay?
a) $27.00
b) $51.00
c) $2.70
d) $6.00
20. What is the total cost of dinner if the food is $25 and the tip is 15%?
a) $25.15
b) $28.00
c) $28.75
d) $40.00
Estimate answers for problems 37- 40:
21. Your class had pizza for lunch. When everyone is done eating, there are 6 pizza boxes
with this much left in each: 1/8, 3/8, 1/4, 1/2, 1/8, 2/3. Estimate how much is left
altogether.
Amount left: ________________
22. About how many books will fit on a shelf 40 inches long if each book is 2/3 inches wide?
a) 25
b) 30
c) 40
d) 60
Explain your answer:
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23. 1/3 of 28 students brought their lunch to school. About how many is that?
a) ≈ 25
b) ≈ 9
c) ≈ 84
d) ≈ 3
24. A piece of wood 7 ½ inches long needs to have ⅞ inches cut off one end. About how
long will the board be?
a) ≈ 7 8/10
b) ≈ 23/10
c) ≈ 5
d) ≈ 6 ½
25. Three pairs of pants cost $19.95, $14.29 and $25.10. Find the total cost of the pants
including sales tax of 6%.
a) $62.90
b) $59.34
c) $65.34
d) $3.56
26. Find the area of a rectangle with sides 2.5 inches and 3.8 inches.
a) 5.13 in.
b) 6.1 in.
c) 6.40 in.
d) 9.5 in.
27. Find the other side of a rectangle (x) with area 51.84 square inches when one side is 8.1
inches.
a) 3.27 in.
8.1 in.
b) 6.2 in.
c) 6.48 in.
A = 50.22 in.2
x in.
d) 43.74
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28. How much space is left along a 12 ft. wall when an 8.45 ft. sofa is placed against it?
a) 3.45 ft.
b) 3.55 ft.
c) 4.45 ft.
d) 4.55 ft.
29. Teresa baby-sits for $2.50 an hour. How much will she earn if she baby-sits for
5 ½ hours?
a) $ 2.50
b) $ 8.00
c) $12.50
d) $13.75
30. A student had scores of 3.8, 4.1, 3.5 and 4.4 on short writing assignments. Find her
average score. You can do this by finding the total points, then divide by the number of
scores.
Total points: ________
Average score: _________
(Show your work.)
31. What number do you have to add to -7 to get 0?
a) -7
b) 0
c) 70
d) 7
32. Solve: -7.5 + 7.5 = ______
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33. Where would the negative of 8 be on a number line? Explain using words. If you draw a
number line to show this, you also need to explain where you put it using words.
34. Place the following numbers on a number line: -2
-4½
0
35. When it is -15 degrees outside, how many degrees warmer does it have to get to reach
10 degrees?
a) 10 degrees
b) 15 degrees
c) 25 degrees
d) 5 degrees
36. Which of the following is a rational number?
a) √2
b) √3
c) π
d) 2/3
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37. Explain why your answer in item 56 is a rational number:
a) Square roots cannot be rational numbers.
b) Rational numbers are evenly divisible by 3.
c) Rational numbers have to be written as fractions or they can be converted to fractions
d) Only “special” numbers are rational.
38. The number 0 is:
a) neither a positive or negative number
b) a positive number
c) a negative number
39. What is the absolute value of -6.5?
a) 0
b) 6.5
c) -6.5
d) 13
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Answer Key
Item
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
Correct Answer
No item for this GLCE
b
c
10 ÷ ¾ However, some will be left over, so any “remainder”
from this division problem must be ignored to answer the
question correctly.
13 pillowcases, with ¼ yd. left over. However, if students use
the algorithm to answer the question, they will get 13 1/3 and
therefore might think that there is 1/3 yd. of fabric left over. In
fact, there is 1/3 of the ¾ yd. pieces left over.
2/18 or 1/9
32/21
15/20 or 3/4
10/6 or 5/3
9/8
1 or 2/2
3/8 is between 0 and ½, closer to 1/2; 72% is about half-way
between ½ and 1; 1.9 is close to 2; 4/3 is between 1 and 1 ½.
b
0.875. Student work could show the division problem, 7 ÷ 8,
worked out. They might also know 1/8 as a decimal, then
multiply by 7. Other methods may work correctly.
b
½
¾
4/10 or 2/5
2 25/100 or 2 ¼ or equivalent improper fractions such as 9/4.
a
4.05
3.5
32.25
99.696
4.875
a
a
c
c
Approx. 2 pizzas. The amounts left with denominators of 2, 4
and 8 total 1 3/8 pizzas. Adding the 2/3 comes to approx. 2. The
exact amount is 2 1/24 pizzas. This would also be an acceptable
answer, although it’s doubtful that someone would estimate this
answer.
d The amount has to be larger than 40, since each book is
smaller than 1 inch. If you really wanted students to estimate
with this problem, you might change the foils to 25, 40, 50, 60.
In that case, the answer is still 60 (since the exact answer is 60).
b
d
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GLCE
N.MR.06.01
N.FL.06.02
N.FL.06.02
N.FL.06.02
N.FL.06.02
N.FL.06.04
N.ME.06.05
N.ME.06.06
N.ME.06.06
N.ME.06.06
N.ME.06.06
N.FL.06.10
N.FL.06.10
N.FL.06.10
N.FL.06.10
N.FL.06.10
N.FL.06.10
N.ME.06.11
N.FL.06.12
N.FL.06.13
N.FL.06.13
N.FL.06.14
N.FL.06.14
N.FL.06.14
N.FL.06.14
DRAFT – FOR PILOT TESTING ONLY – Version 1.3
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25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
a
d
b
b
d
Total Points: 15.8
Average Score: 3.95
d
0
The negative of 8 would be the same distance from 0 as 8 is,
only in the negative direction.
-2 would be two tick marks to the left of 0. -4 ½ would be
halfway between the 4th and 5th tick marks to the left of 0.
c
d
c
a
b
a
b
c
12
-2
-4
-9
-4
4
-6
12
-4
4
-10
d
d
c
9
512
12
1024
0.0625
1
¼ or 0.25
c
N.FL.06.15
N.FL.06.15
N.FL.06.15
N.FL.06.15
N.FL.06.15
N.FL.06.15
N.ME.06.17
N.ME.06.17
N.ME.06.17
N.ME.06.17
N.ME.06.17
N.ME.06.18
N.ME.06.18
N.ME.06.19
N.ME.06.20
N.MR.06.03
N.ME.06.07
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.MR.06.08
N.FL.06.09
N.FL.06.09
N.ME.06.16
N.ME.06.16
N.ME.06.16
GLCEs in grey are designated as “future core” by MEAP. Items corresponding to those
GLCEs are on the following pages.
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6th Grade Number and Operations
Name
Items aligned to future core GLCEs
1. Solve for the unknown:
1
3
÷ ___ =
4
4
a) 3
b) 4

c)
1
3
d)
1
4


8
2. The fraction means

3
a) 3 divided by -8

b) -8 divided by 3
c) -8 divided by -3
d) 8 divided by 3
3.
Which of the following is the same as 8 - (- 4)?
a) 8 - 4
b) (- 4) - 8
c) 8 + 4
d) 8 + (- 4)
Solve each of the following:
4. 8 - (- 4) =
5. 5 - 7 =
6. 4 - 8 =
7. - 4 - 5 =
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8. -2 - 2 =
9. 10 + (-6) =
10. - 4 + (-2) =
11. 9 - (-3) =
12. - 7 - (-3) =
13. 9 + (-5) =
14. - 6 + (-4) =
15. The number line below is showing which of the following mathematical statements?
-8 -7 -6 -5 -4 -3 -2 -1 0 1
2
3 4
5
6 7
8
a) 3 + (-4)
b) 3 – (-4)
c) (-4) + (-7)
d) 3 + (-7)
16. Which of these operations results in a negative answer?
a) -6 + 8
b) -6 - (-8)
c) -8 • (-6)
d) -8 • 6
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17. What number is represented by 3.4 x 104 ?
a) 340,000
b) 3,400
c) 34,000
d) 0.00034
18. What number is represented by each of the following:
32
83
121
45
0.252
80
(1/2)2
19. Use exponents to express the area of the square.
7in.
a) 7 + 7
b) 7 ● 2
c) 7²
d) √7
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