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Transcript of Section A - panther.k12.nf.ca€¦ · Web viewSection A. No Calculator Permitted. Section B....
Grade 7 Common Mathematics AssessmentMultiple Choice Answer Sheet
Name: _______________________Mathematics Teacher: _______________________
Homeroom: _______________________
Section ANo Calculator Permitted
Section BCalculator Permitted
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Page 1 of 1Eastern School District
June 2011
Grade 7Common Mathematics Assessment
June 14, 2011
Section A: No Calculator Permitted
Name:
Mathematics Teacher:
Homeroom:
IMPORTANT
You will have to complete your name and school information in three places:1. Section A2. Section B3. Multiple Choice Answer Sheet
Section A: No Calculator Permitted
20 Multiple Choice 20 points7 Constructed Response 16 points
Total 36 points
Section B: Calculator Permitted
20 Multiple Choice 20 points8 Constructed Response 24 points
Total 44 points
FINAL _____________80 POINTS
Page 1 of 7
Grade 7 Common Mathematics AssessmentSection A
Multiple Choice: No Calculator PermittedFor items 1 – 20, circle the appropriate response on the multiple choice answer sheet.
1. What is the value of xif x+2=16 ?
A. 2B. 8C. 14D. 18
2. What is the value of 2n−1 when n=5 ?
A. 6B. 8C. 9D. 24
3. Which number is divisible by 3 and 4?
A. 112B. 144C. 213D. 248
4. The temperature in St. Bride’s on March 1st was −7℃. It increased by 8℃. What is the new temperature in oC?
A. −15B. −1C. 1D. 15
5. What is (+3 )−(−5) ?
A. −8B. −2C. +2D. +8
6. Which expression has a sum of (−4) ?
A. (−8 )+(−4)B. (−6 )+(+2)C. (+2 )+(−2)D. (+10 )+(−6)
7. What is the missing value in (+2 )+(¿¿)=(−7) ?
A. −9B. −5C. +5D. +9
8. What is 2.8×1.5 ?
A. 0.42B. 4.2C. 42D. 420
9. What is 7% written as a decimal?
A. 0.07B. 0.7C. 7D. 70
10. What is 9
25 written as a percent?
Page 2 of 7Eastern School District
June 2011
Grade 7 Common Mathematics AssessmentSection A
A. 9%B. 27%C. 36%D. 45%
11. If 111
=0.09, and 211
=0.18, what is 411
?
A. 0.24B. 0. 27C. 0.32D. 0. 36
12. Which fraction is incorrectly placed on the number line?
A.18
B.710
C.23
D.1112
13. What is the lowest common denominator for 16
and 49
?
A. 3B. 9C. 18D. 54
14. What is 1 34+2 1
8 ?
A. 3 13
B. 3 12
C. 3 58
D. 3 78
15. What is 57−1
2 ?
A.3
14
B.45
C. 1 15
D. 1 314
16. Which one of the following has a sum greater than one?
Page 3 of 7Eastern School District
June 2011
Grade 7 Common Mathematics AssessmentSection A
A.12+ 2
3
B.12+ 1
4
C.23+ 1
5
D.38+ 1
4
17. Nolan and Kyle worked on a science fair project.
Nolan worked for 1 15
h and Kyle worked for 34
h.
How many hours in total were spent working on the science fair project?
A.1920
B. 1 49
C. 1 1120
D. 1 1920
18. For which equation is x=−4 a solution?
A. x−3=−7B. x−2=+2C. x+3=+1D. x+5=−1
19. What is the value of x if x3=6 ?
A. 2B. 3C. 9D. 18
20. The letters of the word calculator are placed on cards as shown.
What is the probability of choosing a C?
A. 10%B. 15%C. 20%D. 25%
Constructed Response: No Calculator Permitted.
Page 4 of 7Eastern School District
June 2011
C A CL U L A T O R
Grade 7 Common Mathematics AssessmentSection A
Answers to be written on this paper in the space provided. Show all workings.
21. Evaluate: 3.2×5÷(0.8−0.6) [2 points]
22.Joe has read
35
of his novel. Lucy has read 0.55 of her novel. Myra has read 40% of her novel.
Who has read the most of their novel? Explain your answer.
[2 points]
23. Hira buys a CD for $20. Today, the store is offering a 25% discount.
A. Calculate the sale price before tax.
B. Harmonzied Sales Tax (HST) is 13%. What is the total cost of the CD?
[3 points]
24. Sketch a model (fraction circles, pattern blocks, etc) to calculate the following:
23−1
2=¿¿
[2 points]
Page 5 of 7Eastern School District
June 2011
Solution:
3.2×5÷ (0.2 )16÷0.2
80
Solution:
Joe: 35= 60
100 Lucy: 0.55= 55100 Myra: 40 %= 40
100
Joe read the most.
Solution:
$20×0.25=$5.00
Sale : $20−$5=¿
$15
Solution:
$15×0.13=$1.95
Total : $15+$1.95=¿
$16.95
Grade 7 Common Mathematics AssessmentSection A
25.A jug holds 2 1
6 cups of water. If Aurora drinks 1 1
2 cups of the water and Colin drinks
13
cup of
the water, how much water is left in the jug? Write your answer in simplest form.
[3 points]
26. When solving the equation6d+12=24, Matthew found d=4 and Ian found d=2. Who is correct? Explain how you know.
[2 points]
27. Sketch a model (tiles, balance scales, etc) to calculate the following:
2 x+5=9
[2 points]
Page 6 of 7Eastern School District
June 2011
Solution:
1 12+1
3 216−11
6
¿ 32+ 1
3 ¿136
−116
¿ 96+ 2
6 ¿26
¿ 116 ¿
13
Solution:
Various answers for sketch. 16
Solution:
6d+12=246d+12−12=24−12
6d6
=126
d=2
Ian is correct.
Solution:
Various Answers for model. x=2
Grade 7 Common Mathematics AssessmentSection A
End of Section A.Please raise your hand and your teacher will collect Section A.
You can now begin Section B.
Page 7 of 7Eastern School District
June 2011
Grade 7Common Mathematics Assessment
June 14, 2011
Section B: Calculator Permitted
Name:
Mathematics Teacher:
Homeroom:
Section A: No Calculator Permitted
20 Multiple Choice 20 points7 Constructed Response 16 points
Total 36 points
Section B: Calculator Permitted
20 Multiple Choice 20 points8 Constructed Response 24 points
Total 44 points
FINAL _____________80 POINTS
Page 1 of 8
Grade 7 Common Mathematics AssessmentSection B
Multiple Choice: Calculator PermittedFor items 28-48, circle the appropriate response on the multiple choice answer sheet.
28. Given the expression 3+4n, what is the numerical coefficient?
A. 3B. 4C. 7D. n
29. Which equation represents “two more than three times a number is fourteen”?
A. 3n+2=14B. 2n+3=14C. 2n−3=14D. 3n−2=14
30. Which of the following fractions can be expressed as a repeating decimal?
A.718
B.1125
C.9
16
D.1920
31. In the science lab, Ms. Jones has 65.8 g of sodium. She used 42% of the sodium to conduct an experiment. How many grams of sodium did she use?
A. 23.8B. 27.636C. 38.164D. 107.8
32. What is the circumference, to the nearest tenth of a mm, of the circle shown?
A. 19.8B. 31.2C. 39.6D. 124.6
33. If the diameter of a circle is 8 cm, what is the radius in cm?
A. 4B. 16C. 25D. 50
Page 2 of 8Eastern School District
June 2011
6.3 mm
4 cm
x
9 cm
6 cm
Grade 7 Common Mathematics AssessmentSection B
34. A circular skate park is shown. If paving costs $2 per m2, how much will it cost to pave the park?
A. $213.52B. $453.73C. $907.46D. $1814.92
35. Given the parallelogram shown, what is its area in square units?
A. 16B. 20C. 24D. 32
36. The triangle shown has an area of 80 cm2. What is the length of its base in cm?
A. 8B. 16C. 32D. 70
37. Four more than twice a number is 10. What is the number?
A. 2 B. 3C. 6D. 7
38. The polygon shown has a perimeter of 24 cm. What is the length of the missing side in cm?
A. 5 B. 6C. 18D. 19
Page 3 of 8Eastern School District
June 2011
10 cm
17 m
Grade 7 Common Mathematics AssessmentSection B
39. The following circle graph shows the results of a recent student election. If 500 students voted, how many votes did Evan get?
A. 25B. 125C. 140D. 235
40. Laura received the following scores on five math quizzes.
30% 75% 76% 80% 82%
If you remove the outlier, what is the new mean to the nearest percent?
A. 63%B. 73%C. 76%D. 78%
41. Which list of numbers has a median of 10 and a mode of 12?
A. 3, 8, 10, 12, 12B. 12, 11, 10, 7, 12C. 12, 5, 10, 18, 10D. 13, 10, 12, 14, 10
42.43. Which line segment is parallel to BC?
A. ABB. ADC. CAD. DC
44. ∠BMW is bisected as shown. What is the measure of ∠BMW , in degrees?
A. 18B. 36C. 48
Page 4 of 8Eastern School District
June 2011
A
CD
B
B
W
XM 36 °
28% Asani
47% Zoe
25% Evan
Grade 7 Common Mathematics AssessmentSection B
D. 72
45. On the spinner shown, what is the probability of not spinning a 2?
A.15
B.25
C.35
D.
45
46. On a coordinate plane, in which quadrant is the point (2, -5) located?
A. Quadrant 1B. Quadrant 2C. Quadrant 3D. Quadrant 4
47. A stick man is rotated around a point P, as shown.
original
image
What rotation has occurred?
A. 90˚ clockwiseB. 180˚ clockwise C. 270˚ clockwiseD. 360˚ clockwise
Page 5 of 8Eastern School District
June 2011
P
12
35
4
x
yQuadrant 1Quadrant 2
Quadrant 3 Quadrant 4
Grade 7 Common Mathematics AssessmentSection B
48. ∆ BIG undergoes two transformations to give the image shown. Which two transformations occurred?
A. reflected then translatedB. rotated then reflectedC. translated then reflected D. translated then rotated
Constructed Response: Calculator Permitted.Answers to be written on this paper in the space provided. Show all workings.
49. Dots are used to make the following pattern: [5 points]
Diagram #2 Diagram #3Diagram #1
A. Complete the following table.
Diagram # (n) # of dots(d)
1 4
2 7
3 10
4 13
5 16
6 19
B. Graph the relation and label appropriately.
Page 6 of 8Eastern School District
June 2011
x
y
B
GI
B'
I' G'
B''
I" G"
Grade 7 Common Mathematics AssessmentSection B
C. Write an expression to show how the number of dots, d, is related to the diagram number, n.
50. Sketch a model (ie. Number line, bank model, etc…) to calculate:
(+6 )+ (−4 )=¿¿
[2 points]
51. Evaluate: (+10 )+(−7 )−(−4) [2 points]
52. A group of students were surveyed on their favourite activity. [4 points]
A. Using the data, complete the table.
ActivityNumber of Students
Fraction of Students
Percent of Students
Central Angle
Ball Hockey 7575
300=1
425% 90o
Basketball 4545
100= 3
2015% 54o
Soccer 6060
300=1
520% 72o
Swimming 120120300
=25
40% 144o
Total 300 1 100% 360o
B.
Using the data, construct and label a circle graph.
Favourite Activity
Page 7 of 8Eastern School District
June 2011
Solution:
3n+1
Solution:
Various Answers for sketch +2
Solution:
(+3 )−(−4 )+7
Grade 7 Common Mathematics AssessmentSection B
Page 8 of 8Eastern School District
June 2011
Grade 7 Common Mathematics AssessmentSection B
52. Jaden’s toy is made with four identical triangles as shown.How much plastic is needed to make the toy?
b×h2×4
9×52×4
90cm2
[2 points]
53. Construct the perpendicular bisector of the line segment XY .
X
[2 points]
Y
54. Jenn flips a coin and rolls a six sided die.
A) Draw a tree diagram to show all possible outcomes.
H1, H2, H3, H4, H5, H6
T1, T2, T3, T4, T5, T6
B) What is the probability of Jenn flipping a head and rolling a number 3 or greater?
412
=13
[4 points]
55. Use the points J (3 ,2), A(5 , 4), and M (−2 ,6) to draw ∆ JAMon the coordinate grid. Reflect ∆ JAM in the x-axis and state the coordinates of ∆ J ' A ' M ' .
[3 points]
Page 9 of 8Eastern School District
June 2011
5 cm
9 cm
H
T
1
2
3
4
5
6
1
2
3
4
5
6
Grade 7 Common Mathematics AssessmentSection B
J|( 3 , -2 ) A| ( 5 , -4 ) M| ( -2 , -6 )
End of Grade 7 Common Mathematics Assessment.Have a safe and happy summer!
Page 10 of 8Eastern School District
June 2011
x
y