Mid-Course Cumulative Reviewavhs2.ednet.ns.ca/staff/atwell/Math 10/M10 Cumulative...Mid-Course Cumulative Review 50 1 Mathematics 10 – Midcourse Cumulative Practice Questions AVRSB

Mathematics 10 – Midcourse Cumulative Practice Questions AVRSB

ANNAPOLIS VALLEY REGIONAL SCHOOL BOARD

Name:_____________________________________________________

Instructions

1. There are 18 selected response questions. Each question is worth 1 point.

2. Consider the four choices for each selected response question, select the best one, and then fill in the circle to the left of the correct answer. It is not necessary to show your work for the selected response questions.

3. You may mark on the diagrams and questions in the booklet, and use any available space as scrap paper.

4. There are 9 constructed response questions. The value of each question is indicated to the right of the question.

5. You must show all of your work for the constructed response questions. Part values may be given for any correct work shown.

6. If you use a formula, please write the formula, and show all of the substitutions you make before working out your answer.

7. For full value units must be included with the answer to all questions where units are indicated.

8. Diagrams are not drawn to scale.

Mathematics 10

Mid-Course Cumulative Review

50

1


Selected Response

Consider the four choices for each question, select the best one. Then fill in the circle to the left of

the correct answer.

1. A two story building with a flat roof would most likely be approximately how tall?

A 10 feet B 6 yards C 100 inches D 1 mile

2. The length of a fireplace mantle is 6’ 9”. Express this length in metres.

A 2.06 B 2.10 C 31.89 D 1.83

3. A ribbon is 4 feet 10 inches long. It needs to be cut into pieces that are 8 inches in length. How many full length pieces will the ribbon provide?

A 5 B 7 C 6 D 8

4. Find the surface area of the cone drawn below to the nearest square cm.

A 75 B 245 C 120 D 468

5. The surface area of a beach ball is 4975 cm2. Determine the diameter of this same ball to the nearest tenth of a cm.

A 19.9 cm B 42.0 cm C 39.8 cm D 62.5 cm

2


6. Determine the value of sin A

A B

C 22.62 D

7. A ski jump ramp is built so that the ramp is 6.10 m long and has a rise of 4.50 m. The angle of inclination of the ramp is approximately:

A 36.4 B 47.5

C 42.5 D 53.6

8. An angle of elevation is:

A Measured from the horizontal down B Measured from the 90 degree angle C Measured from the horizontal up D Measured differently as the triangle changes.

9. Each side of a cube is 2y + 1 cm long. What is an expression for the volume of the cube?

A 8y3 + 1 B 8y3 + 2y C 8y3 + 4y2 + 2y + 1 D 8y3 + 12y2 + 6y + 1

10. What is the side length, in inches, of the smallest square bulletin board that you could completely cover with 4” by 6” sports photos? Assume the photos can’t be cut and don’t overlap.

A 24 C 9 B 12 D 22 • 2 • 3

5

12

5

13

12

13

3


11. The Deveau family built a flower bed along the length of their house and garage. Both the house and garage have square bases, as shown below.

The expression that represents the total length, in metres, of the flower bed is:

A B

C D 12. Susan drew the picture shown below. What expression was she modeling?

A 2x (2x + 1) B 2 (2x2 + 1) C x (2x + 1) D 2x (4x2 + 2x)

13. Miriam expanded and simplified (8h + 3)(7h2 – 4h + 1) correctly. What was her answer? A 56h3 – 53h2 – 20h + 3 B 56h3 – 32h2 + 8h + 3 C 56h3 – 11h2 – 4h + 3 D 56h3 + 11h2 – 12h + 3

14. A rectangle that has an area that can be represented by the expression 3x2 + 17x + 10, and a width that can be represented by the expression (x + 5). What expression would represent the length of this rectangle?

A x + 2 B x + 5 C 3x + 2 D 3x + 5

125 x 125 x

2125 x 125 x

4


15. The difference between the LCM and GCF of the numbers 5, 10 and 35, is:

A 65 B 1745 C 35 D 5

16. What is the prime factorization of 480?

A 22 • 3 • 5 • 8 B 25 • 3 • 5 C 2 • 5 • 6 • 8 D 23 • 3 • 4 • 5

17. When written as an entire radical 7 3 is the same as:

A B

C D

18. Janeau drew an area model to illustrate how he correctly factored 2x2 + 9x + 4 to obtain (2x + 1) (x + 4). Which of the following illustrate this?

A B

C D

21 63

147 441

5


Constructed Response

- You must show all your work and include units.

- Part values may be given for any correct work shown.

- If you use a formula, it is recommended that you write the formula, and show any

substitutions you make before working out your answer.

1. A rectangular room is 14’ 6” wide and 16’ 3” long. Janice decides to put baseboard trim all around the room except for one 36” doorway and one 60” closet. How many 8’ lengths of baseboard does Janice need to purchase for this room? [4 points]

6


2. Determine the distance between A and B in the rectangular prism shown below. Answer should be to the nearest tenth of a cm. [4.5 points]

C

7


3. Calculate the volume of the figure shown below. [3 points]

6 cm

11 cm

5 cm

8


4. Mrs. Jones wants to fill the area around her pool with grass. The dimensions of the pool are (x+5) m and (x+2) m. The backyard and pool have dimensions as shown in the diagram.

a) Determine the algebraic expression for the area of the backyard that needs to be

covered. [3 points]

b) If x = 5 m, what is the area of the backyard that needs to be covered? [1 point]

c) One bag of grass seed covers 5 m2 of yard. What is the total cost of seeding the backyard if grass seed costs $6.99/bag? (Do not include taxes) [2 points]

(2x + 4)

(x + 3) pool

9


5.

1

216

9

can be simplified to obtain 3

4.

Show, clearly, how this can be done without the use of a calculator. [2 points]

10


6. Factor each of the following completely: [3.5 points]

2) 6 2 [1 ]a x x pt

2 2) 49 4 [1 ]b x y pt

2) 3 30 75 [1.5 ]c x x pts

11


7. Using a strategy, that does not involve the use of a calculator; estimate the values of 70

and 3 20 and to place them on a number-line. Explain the strategy you used. [2 points]

8. Prove using prime factorization that 3 31080 6 5 . [2 points]

12


9. The illustrated trapezoid shown here has an area of 39 cm2. 4DC cm and 9AB cm

Determine the size of . [5 points]

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Mid-Course Cumulative Reviewavhs2.ednet.ns.ca/staff/atwell/Math 10/M10 Cumulative...Mid-Course Cumulative Review 50 1 Mathematics 10 – Midcourse Cumulative Practice Questions AVRSB