Grade 7 Math Final Examination Samplelc.wnlsd.ca/~roma.blundon/FOV1-00021307/S00D2E902.3/Grade... · Web viewGrade 7 Math Final Exam (Sample)June 2009Page 1 NAME: _____ Grade 7 Mathematics

NAME: ______________________

Grade 7 Mathematics Final Examination SampleJune 2009Section A

Non-CalculatorSelected Response

Constructed Response10 Marks10 Marks

Grade 7 Math Final Exam (Sample) June 2009 Page 1

Section A: Selected Response [10 Marks]1. Which set of numbers are factors of 48?A) {2, 3, 5}B) {2, 3, 6}C) {2, 3, 9}D) {2, 3, 10}2. The factors of 18 and 45 will be placed in the Venn diagram. Which set of numbers belongs in the intersection of the two sets?A) {3, 9}B) {5, 9}C) {2, 3, 5}D) {2, 3, 6}3. What is the difference between -25 and +6?A) -31B) -19C) +19D) +314. Which situation represents an overall change of +8?A) Mary paid $15.00 for a DVD, and then she received a $5 rebate from the store.B) Ned kicked a soccer ball 15m forward. Bill kicked the ball back 7m. C) Oliver had walked 25 metres when he realized he had to go back and pick up a book he had dropped 10 metres ago.D) Paula noticed that the temperature on Monday was -4o C, and on Tuesday the temperature was +12o C.5. If 7

160000 ¿0.00004375, 716000 ¿0.0004375, and 7

1600 ¿0.004375, what is 7160 ?A) 0.04375B) 0.4375


Factors of 18 Factors of 45

C) 4.375D) 43.756. Which is equivalent to 0.0002?

A) 2100000

B) 210000

C) 21000

D) 2100

7. What is 411 written as a decimal?A) 0.36B) 0.36C) 2.75

D) 2.75

8. What is 712+ 412 ?A) 3

24

B) 312

C) 1124

D) 1112

9. What is 47−25 ?

A) 235

B) 635

C) 835

D) 22

10. Solve for t: t5 ¿10Grade 7 Math Final Exam (Sample) June 2009 Page 3

A) 2B) 5C) 10D) 50NAME: __________________________________________________Write your answers in the space provided, and show all workings to achieve full marks.1. Sketch a model (i.e. integer counters, number line, etc.) to calculate: [3 marks](-2) – (+4)

2. A) What is 40% of 50? [2 marks]

B) Evaluate: 0.05 + 0.15 ×3 [2 marks]

3. Jimmy and Johnny had to share the family computer. Jimmy said that he had used 23 of the memory on the hard drive, and Johnny said that

he had used 12 of the memory. Is this possible? Explain. [3 marks]Grade 7 Math Final Exam (Sample) June 2009 Page 4

NAME: ___________________________________Grade 7 Mathematics Final Examination Sample

June 2009Section BCalculator Permitted

Selected ResponseConstructed Response

30 Marks30 marks

Answers to Constructed Response questions are to be written in the spaces provided for each question. Complete answers with all workings are required to achieve full marks.Grade 7 Math Final Exam (Sample) June 2009 Page 5

1. What is the value of 3n – 2 when n equals 4?A) 5B) 10C) 14D) 322. Consider this patternDiagram 1

Diagram 2Diagram 3

Which equation represents the relation between the Number of Blocks (B) and the Diagram Number (d)?A) B = d + 4B) B = d + 5C) B = 2d + 3D) B = 2d + 53. What integer is modeled in the diagram?

A) -3B) -2C) +2D) +5

4. Mike recorded the changes in the height of the snow bank in front of his house for six weeks. Week 1 Week 2 Week 3 Week 4 Week 5 Week 6-2 cm -1 cm -3 cm +3 cm -1 cm +2 cm

If the snow bank was 206 cm in the beginning, what was its final height?A) 194 cmB) 204 cmC) 208 cmGrade 7 Math Final Exam (Sample) June 2009 Page 6

+-

+- -

+ + +

+

+- - - - -

+ + + +

+ +

2m 1m

Pool

Patio

Fence

A

BC

D 10 cm

8 cm

D) 218 cm

5. Which expression is illustrated in the diagram? A) (+3) + (-5) B) (+8) – (-5)C) (+3) + (+5)D) (+3) – (-5)6. Which is equivalent to 0.7?

A) 0.7%B) 7.0%C) 70%D) 700%

7. Byron has a circular swimming pool with a stone patio around it, and he wants to build a fence around the outside of the patio. The measurements are indicated in the diagram. How much fencing is needed? A) 3.14 mB) 6.28 mC) 9.42 mD) 18.84 m

8. What is the area of the circle? A) 47.1 cm2B) 176.6 cm2C) 225.0 cm2D) 706.9 cm2

9. ABCD is a parallelogram; what is the area of ∆ACD? A) 9 cm2


Use π =

A B

CD15 cm

ABCD isa square.

A

BC

D 10 cm

8 cm

4 cm

6 cm

B) 18 cm2C) 40 cm2D) 80 cm2

10. Four identical triangles are arranged to form a larger triangle. Using the measurements in the diagram, what is the area of the shaded region?A) 3 cm2B) 6 cm2C) 12 cm2D) 24 cm2

11. What is the best estimate for the circumference of a circle with a diameter of 8 cm?A) 12 cmB) 24 cmC) 36 cmD) 48 cm

12. What is the radius of a circle that has a diameter of 16.5 cm?A) 4.125 cmB) 8.25 cmC) 16.5 cmD) 33 cm

13. Sarah bought 4 cans of paint to use while painting her house. She used 138 of a can on her garage and another 2 14 cans on her porch. How many cans of paint did Sarah have left?A) 3

8

B) 24

C) 11212Grade 7 Math Final Exam (Sample) June 2009 Page 8

+

D) 358

14. Calculate: 38−14A) 1

8

B) 14

C) 24

D) 48

15. Calculate: 1 16 +1 78

A) 1 814B) 2 824C) 2 814D) 3 124

16. Which addition sentence represents the sum illustrated in the diagram?A) 1

3+ 23 = 1

B) 13 + 1 = 113

C) 12+ 1 = 1 12

D) 13 + 2 = 2 13

17. What is the next step required to solve the equation 2x – 1 = 4 ?A) Add 1 to each side.


S

B) Divide both sides by 2.C) Subtract 1 from each side.D) Subtract 2 from each side.

18. Jason is solving a problem using algebra tiles. He is at this step;

Which diagram shows the next step Jason should take to solve this problem?A)

B)

C)

D)

19. The perimeter of a regular hexagon (all sides are equal) is 84 cm. Which equation would you use to find the length of one side?A) 84s = 6 B) 6s = 84C) s= 6

84

D) 84 – s = 6 20. Henry needs to buy one pair of pants and several pairs of socks. The pants cost $25.00 and socks cost $5.00 per pair. If Henry has $50 to spend, how many pairs of socks can he buy?Grade 7 Math Final Exam (Sample) June 2009 Page 10

Perimeter = 84 cm

Note: Shaded tiles

are negative.

A) 2B) 5C) 10D) 25

21. When a number is doubled and increased by seven the result is nineteen. What is the number?A) 6B) 12C) 26D) 45

22. Which number in this set is an outlier?{ 15, 15, 17, 20, 23, 24, 87 }

A) 15B) 20C) 72D) 87

23. What is the mode of this set of numbers?{ 22, 35, 50, 75, 75 }

A) 35B) 50C) 53D) 75

24. The data below represents the temperatures at noon on April 3, 2009 measured at five different weather stations in Newfoundland. What is the mean temperature?3.4℃ 4.5℃ 4.5℃ 6.2℃6.9℃

A) 3.4oCB) 3.5oC


Blue

Blue

Red

Red

Red

Red

Yellow

Yellow

x

y

C) 4.5oCD) 5.1oC

25. John has written 4 math tests this year and so far his average is 78%. John really wants to raise his average to 80%. What score does he need on his next test in order for his average to go to 80%?A) 64%B) 79%C) 85%D) 88%

26. A cookie jar contains 4 Oreos, 5 Fudgeeos, 6 Chocolate Chip cookies, and 8 Oatmeal Raisin cookies. What is the probability of reaching into the jar, grabbing a cookie and getting either an Oreo or a Chocolate Chip cookie?A) 4

23

B) 623

C) 823

D) 1023

27. What is the probability of spinning this spinner and landing on red?A) 1

8

B) 14

C) 12

D) 4

28. On a coordinate plane, in which quadrant is the point (-3, 4) located?A) Quadrant 1


x

y

x

y

x

y

A

BC

B) Quadrant 2C) Quadrant 3D) Quadrant 4

29. The points A (-3, 2) and B (5, 2) are plotted on a coordinate plane. They are connected to create the line segment AB. What is the length of line segment AB?A) 2B) 7C) 8D) 9

30. ∆ ABC appears on the coordinate plane. It is translated 2 units right, and 4 units down to create Δ A ' B'C ' . This image is then reflected in the y-axis to form What are the coordinates of the point B' '?A) (-4, 2) B) (-2, 0) C) (0, -2)D) (2, 0)


CBA

NAME: __________________________________________________Section B: Constructed Response [30 Marks]Write your answers in the spaces provided, and show all workings to achieve full marks.

1. Nancy’s math teacher told her that in an expression, the variable was b, the constant was 2, and the numerical coefficient was 3.A) What is the expression? [1 mark]

B) Use this expression to complete the input/output table. [2 marks]

2. Two different relations are shown in the input/output tables.[2 marks]Input

bOutput4n + 2

Inputb

Output2n + 4


Inputb Output

1

2

3

4

0 212 103

0 4123 10 Table 1 Table 2

Complete the tables. How do the different expressions affect the values of the outputs in each table?[1 mark]

3. Jewellery boxes regularly cost $58 but right now they are on sale for 15% off. What is the sale price of a jewellery box?[2 marks]

4. Stephanie drew a table and tracked her activities on a Saturday. Using the table below:A) Write each activity as a fraction and percent of the total number of hours.

[1 mark]B) Write each percent in Part A) as a number of degrees. [1 mark]C) Construct a circle graph.[2 marks] Activity # of hours Fraction Percent DegreesEating 4

Sleeping 12Watching TV, MSN, Texting, 8Grade 7 Math Final Exam (Sample) June 2009 Page 15

FriendsTotal

5. Natasha takes $80 to the mall to buy gifts. She spends $28.75 on a DVD. She wants to purchase a magazine for $8.99 and a purse for $43.49. Does she have enough money to buy the purse and magazine? Justify your answer.[2 marks]

6. Dennis’ parents left him alone for the weekend and for three days the only thing he ate was pizza. On Friday he ate 58 of a pizza, on Saturday he ate another 34 of a pizza, and finally on Sunday he ate 12 of a pizza. How much pizza did Dennis eat that weekend? [3 marks]


Stephanie’s Saturday

3x – 9 -6

3x – 9 -6

3x

x

7. Alex decides to use a two pan balance model to solve the equation 3x – 9 = -6.Fill in the boxes with the missing steps and determine the value of x.[2 marks]

8. Sarah has 3 pairs of shorts (blue, green, and white), and 2 tops (blue and white).A) Sarah wants to pick out a top and a pair of shorts to wear. Draw a diagram or table to identify the sample space (a list of all possible outcomes). [2 marks]

B) Sarah decides to choose a top and a pair of shorts without looking. What is the probability that she will pick shorts and a top that are the same colour?Grade 7 Math Final Exam (Sample) June 2009 Page 17

[1 mark]

9. Construct the perpendicular bisector of the line segment AB. [2 marks]

10. Without using a protractor, construct the angle bisector of the angle in the diagram.[2 marks]


A B

x

y

11. Plot A(0, 3), B(3, 6) and C(3, 3) on a coordinate plane. Connect the points to form ∆ ABC. Rotate ∆ ABC 180o around the origin to form Δ A ' B'C ' .[4 marks]


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Grade 7 Math Final Examination Samplelc.wnlsd.ca/~roma.blundon/FOV1-00021307/S00D2E902.3/Grade... · Web viewGrade 7 Math Final Exam (Sample)June 2009Page 1 NAME: _____ Grade 7 Mathematics