Name: ______________________
Class: _________________
Date: _________
ID: A
MPM1D Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1
2
hours long. There will be one stop after 5 hours. For how long is the
2
3
second part of the flight scheduled?
1
5
a. 3 hours
c. 3 hours
6
6
1
1
b. 3 hours
d. 4 hours
3
3
____
1. A flight is scheduled to be 9
____
2. Zach left for the movies at 6:30 p.m. He returned at 10:15 p.m. How long was Zach away?
1
3
a. 3 hours
c. 3 hours
4
4
1
1
b. 3 hours
d. 4 hours
3
4
____
3. Calculate the product.
1
7
5 ×4
3
8
7
a. 20
24
1
b. 22
4
c.
24
d.
26
3
8
____
4. Which will result in a negative quotient?
a. if the dividend is greater than the divisor
b. if the divisor is greater than the dividend
c. if the dividend and divisor have different signs
d. if the dividend and divisor are both negative
____
5. Ethan has a savings account in which the interest is compounded biannually. If you were to figure how
much interest Ethan would earn in 4 years, what would you use for n in the interest formula
n
A = P ( 1 + i) .
a. 2
c. 6
b. 4
d. 8
____
6. A square has an area of 155 cm . Without using a calculator, determine between which two whole
numbers the side length is located.
a. 10 cm and 11 cm
c. 12 cm and 13 cm
b. 11 cm and 12 cm
d. 13 cm and 14 cm
____
7. Models with 1, 2, and 3 dimensions can represent all of the following degrees of terms except:
a. 0
c. 2
b. 1
d. 3
2
1
Name: ______________________
____
____
ID: A
3 5 3 3 3
8. Simplify ( ) ( )( ) .
4
4 4
9
a.
16
3 8
b. ( )
4
3
7
5
c.
d.
3 9
( )
4
3 15
( )
4
8
9. Simplify (f )(g )(f )(g ).
2
a.
(f )(g)
b.
(f )(g )
8
15
____ 10. What is the missing factor in
1
a. –
2
b. –2
2
−4m , 3m, − 2
b.
4m , − 3m, 2
13
15
56
(f )(g )
d.
(f )(g )
(4x − 7) = −8x + 14?
1
c.
2
d. 2
____ 11. What are the missing terms in −3m( −
a.
10
c.
2
____ 12. What are the missing terms in 2xy( −
3
2
+ ) = 12m − 9m + 6m?
2
c.
−4m , − 3m, − 2
d.
−4m , 3m, − 2m
2
2
3
2
2
− ) = 6x y − 2xy + 6x y ?
a.
3, 2xy , − 3y
2
c.
3x, y , − 3xy
2
b.
−3x, y , − 3xy
2
d.
3x, − y , 3xy
2
____ 13. The graph below shows the relationship between the side length of a square and the perimeter of the
square.
Use interpolation to determine the area of a square with a side length of 8 cm. Which choice represents
the area?
2
2
a. 25 cm
c. 64 cm
2
2
b. 49 cm
d. 81 cm
2
Name: ______________________
ID: A
____ 14. Determine the slope of the line that passes through (15, –8) and (10, 3).
11
a.
c. –1
5
11
b. 1
d. −
5
____ 15. Which graph represents the graph of the relation 5x − 2y = 0 using the x- and y-intercepts?
a.
c.
b.
d.
____ 16. Identify which relation is linear.
a. y = xz
2
ÁÊ 3 ˜ˆ
3
1
b.
x = − y + ÁÁÁÁ ˜˜˜˜
ÁË 4 ˜¯
2
4
____ 17. Identify which geometric formula is linear.
2
a. A = s
3
b. V = s
2
3
c.
y = 3x + 2
d.
−5y = 3x + 4
c.
d.
A = πr
P = 4s
3
2
2
Name: ______________________
ID: A
____ 18. The table below shows a linear relation. Determine the missing values.
x
y
14
–3
26
6
5
–14
–6
41
a.
b.
x = 1 and y = –59
x = –1 and y = 59
c.
d.
x = – and y =81
x = 1 and y = 81
____ 19. Sophie is buying a gold chain. The gold chain costs $2.50 per centimetre. How many centimetres can she
buy if she has $30 to spend?
a. 30 cm
c. 12 cm
b. 250 cm
d. 6 cm
x
+ 2 = 7.
5
x = 25
x = 45
____ 20. Solve
a.
b.
____ 21. Solve the equation –5x + 1 = –3x – 7.
a. x = –3
b. x = 3
c.
d.
x=1
x=5
c.
d.
x=1
x=4
3
1
x + 5 = x + 2. Explain the mathematical operation he used to get from
4
3
3
1
original equation to 12( x) + 12(5) = 12( x) + 12(2).
4
3
Add 12 to each side.
Multiply all terms by the least common denominator.
Divide each side by 12.
Simplify.
____ 22. Leo is solving the equation
the
a.
b.
c.
d.
____ 23. Farmer Bill has chickens and horses. He has a total of 30 animals. There are a total of 80 legs. Each
chicken has 2 legs and each horse has 4 legs. How many of each type of animal does he have?
a. 20 chickens and 10 horses
c. 10 chickens and 20 horses
b. 15 chickens and 15 horses
d. 30 chickens
4
Name: ______________________
ID: A
____ 24. Which graph is the graph of the linear relation −4x + 6y = −12?
a.
c.
b.
d.
____ 25. Use the graph to determine the slope and the y-intercept of the line.
a.
b.
5
; b = −4
2
5
m = − ; b = −4
2
m=
c.
d.
5
2
; b = −4
5
2
m = − ; b = −4
5
m=
Name: ______________________
ID: A
____ 26. Use the graph to determine the slope and the y-intercept of the line.
a.
m = 4; b = 2
c.
b.
m = −4; b = 2
d.
1
;b=2
4
1
m=− ;b=2
4
m=
____ 27. Which coordinates would be the coordinates of one other point that would be on the line passing through
the point D(−1, −3) with a slope of −3?
a. (0, 0)
c. (−6, 0)
b. (−6, −2)
d. (0, −2)
____ 28. Determine the value of k in the graph.
a.
b.
−1
−2
c.
d.
−3
−4
____ 29. Suppose you were to survey shoppers to see if there was a relationship between the number of coupons
they use and the amount of money they spend. What column headings would you use in a table of values
designed to organize the data from your survey?
a. Number of Coupons and Amount Saved c. Coupons Cut and Amount Spent
b. Number of Coupons and Amount Spent d. Amount Spent and Amount Saved
6
Name: ______________________
ID: A
____ 30. The scatter plot shows the number of fruit flies over time.
What is the best estimate for the number of flies halfway through day 6?
a. 190
c. 215
b. 205
d. 225
____ 31. Suppose that you plot two variables on a scatter plot, and then draw a curve of best fit. What does it
mean if the curve faces downward?
a. the data show no relation
c. there is not enough data
b. the data contradict the conjecture
d. the data show an inverse relationship
____ 32. Which shows an exterior angle?
a.
b.
w
x
c.
d.
y
z
____ 33. What is the sum of the exterior angles in a regular 13-gon?
a. 152.3°
c. 1980°
b. 360°
d. 3960°
____ 34. Jafar said the midpoints of a rhombus always form a square. His conjecture is
a. correct because it is always true.
c. correct because it is sometimes true.
b. incorrect because it is never true.
d. incorrect because it is sometimes false.
7
Name: ______________________
ID: A
____ 35. Kevin created a true conjecture to predict the measure of the exterior angle of a triangle when the two
angles opposite the adjacent interior angle are known. Which formula would support his conjecture?
a.
b.
2
d = b +c
d = b+c
2
c.
d.
d = a+c
d = b−c
____ 36. Each rectangle has a perimeter of 24 units. Which one has the greatest area?
a.
c.
b.
d.
____ 37. What is the maximum area of a rectangle with a perimeter of 60 km?
2
2
a. 200 km
c. 240 km
2
2
b. 225 km
d. 360 km
____ 38. What is the area of the regular polygon?
a.
b.
2
1430 m
2
1716 m
c.
d.
8
2
3432 m
2
3588 m
Name: ______________________
ID: A
____ 39. Land surveyors outlined a park as shown. What is the area of the park?
a.
b.
2
70.88 km
2
76.95 km
c.
d.
2
83.03 km
2
184.68 km
____ 40. Ms. Lange drove about 150 km east from La Sarre, to Senneterre, Quebec. She drove about another 75
km north to Lebel-sur-Quévillon. What is the approximate air distance from La Sarre to
Lebel-sur-Quévillon, Québec?
a. 160 km
c. 175 km
b. 168 km
d. 225 km
____ 41. What is the surface area of a cone with height 8.0 m and radius 3.0 m?
2
2
a. 52.3 m
c. 108.3 m
2
2
b. 98.9 m
d. 268.5 m
____ 42. A paper cup at a water fountain in the shape of a cone has a height of 9 cm and a diameter of 7 cm. How
much water can the cup hold?
3
3
a. 115.4 cm
c. 131.9 cm
3
3
b. 124.4 cm
d. 461.6 cm
____ 43. A square pyramid has base with side length 24 cm and has a slant height of 15 cm. What is the volume of
the pyramid?
3
3
a. 432 cm
c. 1728 cm
3
3
b. 720 cm
d. 2880 cm
____ 44. A tepee stands 8.5 m tall and 8 m in diameter. What is the volume of the tepee?
2
2
a. 71.2 m
c. 157.4 m
2
2
b. 142.3 m
d. 569.4 m
____ 45. A beach ball has a radius of 20 cm. What is its volume?
3
a. 6698. 6 cm
c. 25 120 cm3
b.
18 840 cm3
d.
33 493. 3 cm
3
____ 46. What is the surface area of a sphere with a diameter of 14 cm?
a. 175.84 cm2
c. 615.44 cm2
2
b. 351.68 cm
d. 2461.76 cm2
____ 47. A cylinder has a radius of 6 cm and a height of 12 cm. A sphere has a radius of 6 cm. Which sentence is
true?
a. The volume of the sphere and cylinder are equal.
b. The volume of the cylinder is 452.16 cm3 less than the sphere.
c. The volume of the sphere is 904.32 cm3 less than the cylinder.
d. The volume of the sphere is 452.16 cm3 less than the cylinder.
9
Name: ______________________
ID: A
3
____ 48. A square-based prism has a volume of 8000 mm . What are the dimensions of the prism for the
minimum possible surface area?
a. length, width, and height = 20 mm
c. length, width, and height = 40 mm
b. length, width, and height = 25 mm
d. length, width, and height = 89 mm
2
____ 49. A square-based prism has a surface area of 54 000 cm . What are the dimensions of the prism for the
greatest possible volume?
a. length, width, and height = 21 cm
c. length, width, and height = 52 cm
b. length, width, and height = 30 cm
d. length, width, and height = 95 cm
____ 50. A shipping company is making a cylindrical container to ship dry goods. The container will have a
2
surface area of 120 000 cm . What is the maximum possible volume of the container?
3
3
a. 1 909 859 cm
c. 2 432 881 cm
3
3
b. 2 158 241 cm
d. 3 191 540 cm
10