加拿大安大略省十年级数学试卷英文

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) 2=x

b) 4=y

c) 2=y

d) 4=x

5. The equation of a line with a slope of 5=m and a y intercept of 8 is:

a) 85+=x y b) 85+-=x y c) 85--=x y d) 58+=x y

6. The slopes of 2 lines are -7 and 7

1

. These lines are said to be:

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 28922=+y x 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) 1022=+y x b) 10022=+y x

c) 1422=+y x

d) 4822=-y x

11.

The y-intercept of the line 01052=+-y x is:

a) 2 b) -2

c) 10

d) 5

12.

The slope of the line 0124=-+y x is:

a) 2 b) -2

c) 1

d) 0

13.

If (-3, y) is a solution to the equation 132=+y x , what is the value

of y

a) 3 b) 6

c) 5

d) 8

14.

The product ()()z y x z y x 323243-- is equal to:

a) 2612z xy b) 26412z y x

c)

2612z xy - d) 00412z y x

15.

A simplified expression for ()()n m n m ----52 is:

a) m 7 b) n m 27+

c) m 3-

d) n m 27-

16. A simplified expression for 2

4

2927abc

bc a -- is:

a) ac 3 b) abc 3

c) 23ac d) 223c a

17.

The slope of the line, which is perpendicula r to the line, 084=+-y x

is:

a) -4 b) 4

c) 1

d) -1

18.

The shortest distance from the point (2, -3) to the line 4-=x is:

a) 5 b) 3

c) 2

d) 6

19.

The value of the polynomial 8542+-a a when 3-=a is:

a) 59 b) 44

c) 13

d) 29

20.

Which of the following is not a function :

a) ()()(){}7,6,5,4,3,2 b) 22x y = c) 22y x =

d) ()()(){}3,8,3,7,2,6

21.

The range of the relation whose equation is 52--=x y is:

a) 5-≤y b) 5≤y

c) 5-≥y

d) 5≥y

22.

The vertex of the parabola ()642

--=x y is:

a) ()6,4-

b) ()6,4-

c) ()4,6- d) ()4,6-

23. The equation of the axis of symmetry of the parabola ()5242

+--=x y is:

a) 5=x

b) 5-=x

c) 2=x

d) 2-=x