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Math 8 Practice Final #6



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Choose the best answer.
 

 1. 

Show the ratio 96:72 in lowest terms.
a.
6:12
c.
6:8
b.
8:6
d.
12:6
 

 2. 

Which multiplication statement represents the following addition statement?
4 + 4 + 4 + 4
a.
2 ´ 4
c.
4 ´ 44
b.
4 ´ 4
d.
44 ´ 44
 

 3. 

The ratio of the three sides of a right triangle is equivalent to the ratio of the corresponding sides of a similar triangle. The ratio is mc003-1.jpg. Determine the unknown measures f and h.
mc003-2.jpg
Diagram not to scale
a.
mc003-3.jpg cm and mc003-4.jpg cm
c.
mc003-7.jpg cm and mc003-8.jpg cm
b.
mc003-5.jpg cm and mc003-6.jpg cm
d.
mc003-9.jpg cm and mc003-10.jpg cm
 

 4. 

An athlete runs 5400 m in 40 min. Determine the average speed of the athlete.
mc004-1.jpg
a.
135 m/min
c.
162 m/min
b.
180 m/min
d.
120 m/min
 

 5. 

An electric train travels 750 km in 5 h. Determine how long the train will take to travel 1200 km.
a.
4 h
c.
6 h
b.
8 h
d.
7 h
 

 6. 

How many hundred grids do you need to represent 764%?

a.
76
c.
9
b.
6
d.
8
 

 7. 

Which of the following numbers is the largest?  0.006, mc007-1.jpg, 0.66%, mc007-2.jpg%
a.
mc007-3.jpg
c.
mc007-5.jpg
b.
mc007-4.jpg
d.
mc007-6.jpg
 

 8. 

Raymond’s class sold 595 chocolate bars for charity. This is mc008-1.jpg% of all the chocolate bars sold for charity that year. How many chocolate bars were sold that year to support the charity?
a.
400
c.
700
b.
11 100
d.
600
 

 9. 

The gopher population in a pasture is 250. The following year the population increased by 10%. It increased by another 10% the next year, and then increased by an additional 10% the year after that. What was the gopher population after the third year?
a.
322
c.
332
b.
342
d.
302
 

 10. 

Shoes are on sale for 25% off. If Jason buys two pairs of shoes at the same price, he will get an additional 10% off the second pair and one pair free with his online coupon. He decides to buy three pair of shoes that sell for $99.99 each. How much will Jason pay for each pair of shoes?
a.
$46.66
c.
$54.99
b.
$43.33
d.
$53.33
 

 11. 

A doorway is 30 in. wide and 80 in. high. What is the diameter of the largest round table that can fit through this doorway? Round your answer to the nearest tenth of an inch.
a.
14.8 in.
c.
110.0 in.
b.
10.5 in.
d.
85.4 in.
 

 12. 

To be safe, the foot of a ladder must be 3.3 m from the base of the wall. If the wall is 13.2 m high, how long must the ladder be to reach the top? Round your answer to the nearest tenth of a metre.
a.
5.7 m
c.
13.6 m
b.
16.5 m
d.
4.1 m
 

 13. 

What is the approximate perimeter of the kite shown? 

mc013-1.jpg
Diagram not drawn to scale
a.
47.9 cm
c.
24.0 cm
b.
11.2 cm
d.
7.9 cm
 

 14. 

Jasper wants to put a straight sidewalk from his back door to a shed in the corner of his yard. How long will the sidewalk be? Round your answer to the nearest tenth of a metre.

mc014-1.jpg
a.
13.6 m
c.
10.2 m
b.
4.1 m
d.
12.4 m
 

 15. 

A 3-D object with two parallel and congruent circular bases is a __________.
a.
right prism
c.
triangular prism
b.
cylinder
d.
cube
 

 16. 

Find the surface area of this rectangular prism.
mc016-1.jpg
a.
258 cm2
c.
270 cm2
b.
135 cm2
d.
129 cm2
 

 17. 

What is the surface area of a cylinder with a circumference of 24.47 cm and a height of 33 cm, to the nearest hundredth of a square centimetre?
a.
902.81 cm2
c.
807.51 cm2
b.
95.30 cm2
d.
856.45 cm2
 

 18. 

The total surface area of this 3-D object is __________.

mc018-1.jpg
a.
150.80 cm2
c.
251.33 cm2
b.
100.53 cm2
d.
201.06 cm2
 

 19. 

The formula for the surface area of a cylinder is __________.
a.
mc019-1.jpg
b.
mc019-2.jpg
c.
mc019-3.jpg
d.
mc019-4.jpg
 

 20. 

What is the volume to surface area ratio for the prism shown?
mc020-1.jpg
a.
1.24
c.
0.4
b.
0.81
d.
0.62
 

 21. 

Which rectangular prism has the greatest surface area to volume ratio?
mc021-1.jpgmc021-2.jpg
a.
Prism A
c.
They have the same ratio.
b.
Prism B
d.
There is not enough information to calculate the ratios.
 

 22. 

A set of 6 congruent storage drawers has a total volume of 99 800 cm3. The area of the base of each drawer is 1280 cm2. Determine the height of each drawer, to the nearest centimetre.

mc022-1.jpg
a.
11 cm
c.
19 cm
b.
20 cm
d.
13 cm
 

 23. 

A coaster is a square-based prism. The base has an edge length of 8 cm and a height of 6 mm. What is the volume of the rectangular box just large enough to hold 6 stacked coasters?
a.
460.8 cm3
c.
288 cm3
b.
230.4 cm3
d.
384 cm3
 

 24. 

Julie sells sponge cakes shaped like cylinders. She cuts a sponge cake with a diameter of 18 inches and a height of 4.5 inches into slices. Each slice has an average volume of 115 cubic inches. About how many slices can Jill cut from the cake?
a.
9 slices
c.
10 slices
b.
13 slices
d.
20 slices
 

 25. 

What multiplication statement does this diagram represent?

mc025-1.jpg
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 

 26. 

When you multiply an odd number of negative integers by an odd number of positive integers, what type of integer do you always get?
a.
infinite integer
c.
positive integer
b.
negative integer
d.
zero
 

 27. 

Which expression does this diagram represent?

mc027-1.jpg
a.
mc027-2.jpg
c.
mc027-4.jpg
b.
mc027-3.jpg
d.
mc027-5.jpg
 

 28. 

Suppose you subtract –7 from the quotient of –16 and –4. What is the answer?
a.
3
c.
11
b.
-3
d.
-11
 

 29. 

Determine the result of mc029-1.jpg - mc029-2.jpg, in lowest terms.
a.
mc029-3.jpg
c.
mc029-5.jpg
b.
mc029-4.jpg
d.
mc029-6.jpg
 

 30. 

What is mc030-1.jpg + mc030-2.jpg, in lowest terms?
a.
mc030-3.jpg
c.
mc030-5.jpg
b.
mc030-4.jpg
d.
mc030-6.jpg
 

 31. 

What is mc031-1.jpg as an improper fraction?
a.
mc031-2.jpg
c.
mc031-4.jpg
b.
mc031-3.jpg
d.
mc031-5.jpg
 

 32. 

Calculate 4mc032-1.jpg - 4mc032-2.jpg.
a.
mc032-3.jpg
c.
mc032-5.jpg
b.
mc032-4.jpg
d.
mc032-6.jpg
 

 33. 

The fraction of the hexagon shaded is __________.
mc033-1.jpg
a.
mc033-2.jpg
c.
mc033-4.jpg
b.
mc033-3.jpg
d.
mc033-5.jpg
 

 34. 

Determine mc034-1.jpg mc034-2.jpg, in lowest terms.
a.
mc034-3.jpg
c.
mc034-5.jpg
b.
mc034-4.jpg
d.
mc034-6.jpg
 

 35. 

Calculate 1mc035-1.jpg.
a.
mc035-6.jpg
c.
mc035-8.jpg
b.
mc035-7.jpg
d.
mc035-9.jpg
 

 36. 

As a fraction in lowest terms, what is mc036-1.jpg?
a.
mc036-4.jpg
c.
mc036-6.jpg
b.
mc036-5.jpg
d.
mc036-7.jpg
 

 37. 

If a shaded tile represents a negative variable and a white tile represents a positive variable, what equation is being modelled by this diagram?
mc037-1.jpg
a.
mc037-2.jpg
c.
mc037-4.jpg
b.
mc037-3.jpg
d.
mc037-5.jpg
 

 38. 

If a shaded tile represents a negative variable and a white tile represents a positive variable, what equation is being modelled by this diagram?
mc038-1.jpg
a.
mc038-2.jpg
c.
mc038-4.jpg
b.
mc038-3.jpg
d.
mc038-5.jpg
 

 39. 

If a shaded tile represents a negative variable and a white tile represents a positive variable, what is the solution to the equation being modelled by this diagram?
mc039-1.jpg
a.
–7
c.
–9
b.
–36
d.
–17
 

 40. 

The total delivery cost on a shipment of furniture is mc040-1.jpg, where m represents the number of pieces of furniture being delivered, and c is the total cost. How much would it cost to deliver eight pieces of furniture?
a.
$38.00
c.
$21.00
b.
$11.00
d.
$42.00
 

 41. 

Jennie is selling her CD player and 6 CDs. She is selling the CD player and the CDs for $480.00 altogether. If the CD player costs $300, what is the value of each CD?
a.
$30
c.
$130
b.
$80
d.
$1080
 

 42. 

What is the solution to the equation mc042-1.jpg?
a.
1
c.
17
b.
5
d.
22
 

 43. 

What is the solution to the equation mc043-1.jpg?
a.
–1
c.
–19
b.
–9
d.
–6
 
 
Benjamin drives from Vancouver to Nelson.  The total distance is 660 km, which took 7.5 hours to drive. He uses a table to record the data.

Time t (h)
Distance d (km)
1.1
94
2.1
189
3.2
283
4.3
377
5.4
471
6.4
566
7.5
660
 

 44. 

What equation relates time and distance?
a.
t = 0.011d
c.
t = 88d
b.
t = 8.8d + 1
d.
t= 8.8d  - 1
 

 45. 

How long did it take Benjamin to drive 389 km?
a.
1.2 h
c.
3.1 h
b.
4.1 h
d.
0.2 h
 
 
Study this growing pattern of rhombuses.
nar003-1.jpg
 

 46. 

What linear relation shows the relationship between the number of line segments, l, and the number of squares, s?
a.
l = 4 + s
c.
l = 2s - 2
b.
l = 4s – 1
d.
l = 2s + 2
 

 47. 

A meteorologist wants to determine how much snow a city receives in a year. Which measure of central tendency is the most appropriate to use?
a.
median
c.
mode
b.
mean
d.
range
 

 48. 

If you spin this spinner 27 times, how many times might you expect it to land on C?
mc048-1.jpg
a.
18
c.
9
b.
3
d.
27
 

 49. 

Each letter of the word PROBABILITY is written on a separate card and placed in a bag. Dhavinder randomly draws one card from the bag, replaces it, and draws a second card. What is the probability of her drawing one Y and one I?
a.
mc049-1.jpg
c.
mc049-3.jpg
b.
mc049-2.jpg
d.
mc049-4.jpg
 

 50. 

You roll two six-sided dice. What is the probability that the sum of the numbers showing is greater than 3?
a.
mc050-1.jpg
c.
mc050-3.jpg
b.
mc050-2.jpg
d.
mc050-4.jpg
 



 
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