Grade 7 Sample Final Exam Answer Key

Grade 7 - Sample Exam - Answer Key Section A 1. B 2. A 3. A 4. B 5. A

6. B 7. B 8. D 9. B 10. D

Write your answers in the space provided, 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? (0.40)(50) = 20

[2 marks]

So, 40% of 50 is 20.

B) Evaluate: 0.05 + 0.15 7 3

[2 marks]

= 0.05 + 0.45 = 0.50

3.

Jimmy and Johnny had to share the family computer. Jimmy said that he had used 9 ; of the memory on the hard drive, and Johnny said that he had used of the : 9 memory. Is this possible? Explain. [3 marks] 9

+

;

>

= @ 1. Because the total is greater than 1 this situation is

: 9 ? impossible.

Some students may reason that 2/3 is more than ½, and something that is more than ½, added to ½, must be greater than 1. Again, this means the situation is impossible.

Grade 7 Math Final Exam (Sample Answer Key) June 2009

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Section B 1. 2. 3. 4. 5. 1.

B C C B D

6. C 7. D 8. B 9. C 10. A

11. 12. 13. 14. 15.

B B A A D

16. 17. 18. 19. 20.

B A D B B

21. 22. 23. 24. 25.

A D D D D

26. 27. 28. 29. 30.

D C B C C

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]

3b + 2 B) Use this expression to complete the input/output table.

Input

[2 marks]

Output

b

2.

1

5

2

8

3

11

4

14

Two different relations are shown in the input/output tables.

[2 marks]

Input

Output

Input

Output

b

4n + 2

b

2n + 4

0

2

0

4

1

6

1

6

2

10

2

8

3

14

3

10

Table Table 1

Table 2

Complete the tables. How do the different expressions affect the values of the outputs in each table? [1 mark] Table 1 begins at 2 and increases by 4 each step. Table 2 begins at 1 and increases by 2 each step. Or any equivalent observation.


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3.

Jewellery ellery 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] Method 1

(0.15)(58) = (8.70) 58 – 8.70 = $47.30

Method 2

4.

(0.85)(58) = $47.30

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 degrees.

[1 mark]

C) Construct onstruct a circle graph.

[2 marks]

Activity

# of hours

Fraction

Percent

Degrees

Eating

4

4/24

17%

60

Sleeping

12

50%

180

Watching TV, MSN, Texting, Friends

8

33%

120

Total

24

100%

360

12/24 8/24 24/24


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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] 80 – ( 28.75 + 8.99 + 43.49 ) = -1.23 The negative $1.23 indicates that Natasha does not have enough money. There are other ways to solve this, but all ways should result in Natasha being $1.23 short.

6.

Dennis’ parents left him alone for the weekend and for three days the only thing he R : ate was pizza. On Friday he ate of a pizza, on Saturday he ate another of a pizza, S T ; and finally on Sunday he ate of a pizza. How much pizza did Dennis eat that 9 weekend? [3 marks]

R S

7.

+

: T

+

; 9

=

;R S

=1

> S

pizzas that Dennis ate that weekend.

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]

3x – 9 3x – 9

-6

+9

-6

+9

3x

+3

x

+1


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8.

Sarah has 3 pairs of shorts (blue, green, and white), and 2 tops (blue and white). A) If 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 listt of all possible outcomes)? [2 marks]

Or

Sample Space { BB, BG, BW, WB, WG, WW }

B) Sarah decides to choose a top and a pair of shorts without looking. looking. What is the probability that she will pick shorts and a top that are the same colour? [1 mark]

9.

Construct the perpendicular bisector of the line segment

.

[2 marks]

Since there are several methods for students to choose from teachers should apply their judgement here.

A


B

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10.

Without using a protractor, construct the angle bisector of the angle in the diagram. [2 marks] There are several ways to do this, only one is shown. Teachers’ discretion should apply.

11.

Plot A(0, 3), B(3, 6) and C(3, 3) on a coordinate plane. Connect the points to form ∆VWX. Rotate ∆VWX 180o around the origin to form ∆A′B ′C ′ .

[4 marks]

y

B

O

A

C

x C’

A’

I B’


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