加拿大安大略省十年级数学试卷-英文

加拿大安大略省十年级数学试

卷

-

英文

Feel

free

to

use

any

of

the

material

in

this

document.

Marks are only guidelines.

We have categorized each question into one

GRADE 10 PRINCIPLES OF MATHEMATICS (ACADEMIC)

MPM 2D

Total Marks:

INSTRUCTIONS:

1.

Calculators may be used.

2.

Read all instructions carefully in order to maximize your mark.

A/C

[K]

Part A

–

Multiple Choice 25 Marks (25 questions * 1 mark each)

For each of the following questions in this section,

circle the letter

representing the

correct answer.

1.

A linear system of two equations that has one solution

represents two lines that

are:

a)

parallel

b)

coincident

c) intersecting

d)

none of these

2.

The midpoint of RS is M(8, -1).

If point S has coordinates (11, 4) what are the

coordinates of point R?

a)

(3, -6)

b)

(15, -6)

c) (5, -6)

d)

(3, 9)

3.

The midpoint of the line segment with end points A(-8, 8) and B(6, 4) is:

a)

(0, 10)

b)

(1, 2)

c) (7, 2)

d)

(-1, 6)

4.

The equation of a horizontal

line passing through the point (4, 2) is:

a)

x

?

2

b)

y

?

4

c)

y

?

2

d)

x

?

4

5.

The equation of a line with a slope of

m

?

5

and a y intercept of 8 is:

a)

y

?

5

x

?

8

b)

y

?

?

5

x

?

8

c)

y

?

?

5

x

?

8

d)

y

?

8

x

< br>?

5

2 of 11

6.

The slopes of 2 lines are -7 and

1

.

These lines are said to be:

7

a)

parallel

b)

perpendicular

c) coincident

d)

none of these

7.

The slope of a line segment passing through 2 points (10,- 4) and (-2, -16) is:

a)

1

b)

2

c) -1

d)

-2

8.

The length of a line segment with end points (-6, 7) and (-1, -5) is:

a)

12

b)

5

c) 13

d)

169

9.

The diameter of a circle whose equation is

x

< br>2

?

y

2

?

289

is:

a)

15

b)

16

c)17

d)

none of these

10. The equation of a circle with a centre of (0, 0) that also passes through the point (-8, -6)

is:

a)

x

2

?

y

2

?

10< /p>

b)

x

2< /p>

?

y

2

?

100

c)

x< /p>

2

?

y

2

?

14

d)

x

2

?

y

2

?

48

11. The y-intercept of the line

2

x

?

5

y

?

10

?

0

is:

a)

2

b)

-2

c) 10

d)

5

12. The slope of the line

4< /p>

x

?

2

y

?

1

?

0

is:

a)

2

b)

-2

c) 1

d)

0

13. If (-3, y) is a solution to the equation

x

< br>?

2

y

?

13

, what is the value of y?

a)

3

b)

6

c) 5

d)

8

14. The product

?

?

3

x

2

y< /p>

3

z

??

?

4

x

2

y

3

z

?

is equal to:

a)

12

xy

6

z

2

b)

12

x

4

y

6

z

2< /p>

c)

?

12

xy

6

z

2< /p>

d)

12

x

4

y

0

z

0

15. A simplified expression for

?

2

m

?

n

?

?

?

?

5

m

?

n

?

is:

a)

7

m

b)

7

m

?

2

n

c)

?

3

m

d)

7

m

?

2

n

3 of 11

?

< br>27

a

2

bc

< br>4

16. A simplified expression for

is:

?

9

abc

2

a)

3

ac

b)

3

abc

c)

3

ac

2

d)

3

a

2

c

2

17. The slope of the line, which is perpendicular to the line,

x

?

4

y

?

8< /p>

?

0

is:

a)

-4

b)

4

c) 1

d)

-1

18. The shortest distance from the point (2, -3) to the line

x

?

?

4

is:

a)

5

b)

3

c) 2

d)

6

19. The value of the polynomial

4

a

< br>2

?

5

a

?

8

when

< br>a

?

?

3

is:

a)

59

b)

44

c) 13

d)

29

20. Which of the following is not a function:

a)

?

?

2

,

3

?

,

?

4

,

5

?

,

?

6

,

7

?

< br>?

b)

y

< br>?

2

x

2

c)

x

?

2

y

2

d)

?

?

6

,

2

?

,

?

7

,

3

?

,

?

8

,

3

?

?

< br>

21. The range of the relation whose equation is

y

?

?

x

2

?< /p>

5

is:

a)

y

?

?

5

b)

y

?

5

c)

y

?

?

5

d)

y

?

5

2

22. The vertex of the parabola

y

?

?

x

?

4

?

?

6

is:

a)

?

?

4

,

6

?

b)

?

4

,

?

6

?

c)

?

?

6

,

4

?

d)

?

6

,

?

4

< br>?

2

23. The equation of the axis of symmetry of the parabola

y

?

4

?

x

?

2

?

?

5

is:

a)

x

?

5

b)

x

?

?

5

c)

x

?

2

d)

x

?

?

2

1

24. A parabola with a vertex of

?

2

,

3

?

and a stretch factor of

?

(relative to

y

?

x

2