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加拿大安大略省十年级数学试卷-英文

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2021-02-08 23:17
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2021年2月8日发(作者:第二军医大学出版社)



加拿大安大略省十年级数学试



-


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

< p>


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

< p>
?


?


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


) would


4


have an equation of:



1


1< /p>


1


1


2


2


2


2



a)


y


?


?


?

< p>
x


?


2


?


?


3



b)


y


?


?


?

x


?


2


?


?


3



c)


y


?


?


?


x


?


3


?


?


2



d)


y


?


?


?


x


?


3


?


?

< br>2



4


4


4


4




25


The parabola


y


?


?


4


x


2


?


k



passes through the point


?


?


2


,


3


?


.



The value of


k


is:


4 of 11






A/C


a)


-19


b)


11


c)


13


d)


19


Part B



Short Answers


For each of the questions in this section, write your answers in the spaces provided.



Use the foolscap provided for any rough work.



Show details of calculations


wherever requested.



1.


In the accompanying diagram, state each of the following: (4 Marks)










a)


domain:



__________ (1 Mark)


















b)


range:







__________ (1 Mark)



c)


Is the relation a function? Justify


your answer. (2 marks)







-4


-2


2


4









2.


The x-intercepts of the parabola


y

?


x


2


?


289



are:



__________ and


__________.



(Show your work) (2 Marks)




[K]


[K]


[C]



[A]










[A]







3.


The roots of the quadratic equation


3


x


2


?

< p>
17


x


?


10

< p>
?


0



are:



__________ and


__________.



(Show your work) (3 Marks)


5 of 11

-


-


-


-


-


-


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