Grade 7 - Sample Exam - Answer Key

Section A

1. B / 6. B
2. A / 7. B
3. A / 8. D
4. B / 9. B
5. A / 10. D

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 of the memory on the hard drive, and Johnny said that he had used of the memory. Is this possible? Explain. [3 marks]

Section B

1. B / 6. C / 11. B / 16. B / 21. A / 26. D
2. C / 7. D / 12. B / 17. A / 22. D / 27. C
3. C / 8. B / 13. A / 18. D / 23. D / 28. B
4. B / 9. C / 14. A / 19. B / 24. D / 29. C
5. D / 10. A / 15. D / 20. B / 25. D / 30. C

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]

Input
b / Output
1 / 5
2 / 8
3 / 11
4 / 14

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

Input
b / Output
4n + 2
0 / 2
1 / 6
2 / 10
3 / 14
/ Input
b / Output
2n + 4
0 / 4
1 / 6
2 / 8
3 / 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 / Degrees
Eating / 4 / 4/24 / 17% / 60
Sleeping / 12 / 12/24 / 50% / 180
Watching TV, MSN, Texting, Friends / 8 / 8/24 / 33% / 120
Total / 24 / 24/24 / 100% / 360

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 of a pizza, on Saturday he ate another of a pizza, and finally on Sunday he ate of a pizza. How much pizza did Dennis eat that weekend? [3 marks]

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) 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 list of all possible outcomes)? [2 marks]

Or

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?

[1 mark]

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

10.Without using a protractor, construct the angle bisector of the angle in the diagram.

[2 marks]

11.Plot A(0, 3), B(3, 6) and C(3, 3) on a coordinate plane. Connect the points to form .

Rotate 180o around the origin to form .[4 marks]

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