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Practice Exam Chapters 1 to 6
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1

A rectangular window on a camping trailer has a length of 86 cm and a width of 42 cm. Find the length of aluminum trim needed to line the perimeter of the window.
A)7224 cm
B)3612 cm
C)256 cm
D)128 cm
2

Salvatore put in bids of $22, $36, $18, $47, $89, and $33 on six items at a silent auction. Use rounding to estimate how much money he will need if all of his bids are accepted.
A)$270
B)$250
C)$230
D)$210
3

Use the Order of Operations (BEDMAS) to evaluate 23 + 3(16 – 11).
A)23
B)27
C)32
D)45
4

The height reached by a model rocket, in metres, after t seconds of flight is h = 4t3 – t2. Find the height reached by the rocket after 3 s of flight.
A)125 m
B)117 m
C)108 m
D)99 m
5

Juanita planned to fly her plane from Allentown due east to Bert City, a distance of 30 km. A wind from the north pushed the plane off course, so that she ended up over Charlieburg, 34 km from Allentown, as shown. How far south of Bert City is Charlietown?
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A)45.3 km
B)16 km
C)8.4 km
D)4 km
6

Farmer MacLeod has a field in the shape of a right triangle, with the two shorter sides measuring 28 m and 45 m. Find the area and perimeter of the field.
A)A = 630 m2, P = 126 m
B)A = 1260 m2, P = 126 m
C)A= 630 m2, P = 63 m
D)A = 1260 m2, P = 63 m
7

One side of Glenn's house is made of stucco, with doors and windows as shown. He has decided to paint the stucco. What is the area of stucco to be painted, to the nearest m2?
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A)14 m2
B)15 m2
C)17 m2
D)20 m2
8

Alison is planning to build a pen for her pet rabbits. She needs to fence three sides. The barn will form the fourth side of the pen. She has 10 m of fencing. What is the maximum area that she can fence in?
A)2.5 m2
B)5 m2
C)10 m2
D)12.5 m2
9

A water trough at a horse farm is in the shape of a triangular prism as shown. Calculate the volume of water that it can hold.
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A)0.2 m3
B)0.44 m3
C)0.88 m3
D)1.76 m3
10

A Super Size Soda comes in a cylindrical cup with a radius of 5 cm and a height of 20 cm. Rounded to the nearest tenth of a litre, how many litres of soda does the cup hold?
A)0.6 L
B)1.2 L
C)1.6 L
D)3.1 L
11

An amusement park sells popcorn in large and small sizes. The large size comes in a cylindrical carton, while the small size comes in a conical carton with the same radius and height as the cylinder. How many times more popcorn is in the large size compared to the small size?
A)3X
B)2.5X
C)2X
D)1.5X
12

A metal can has a radius of 4 cm and a height of 12 cm. What area of sheet metal is needed to make the sides, top, and bottom of the can?
A)603 cm2
B)402 cm2
C)352 cm2
D)302 cm2
13

A cardboard box for a chocolate bar is in the shape of a triangular prism with sides each measuring 10 cm and a length of 25 cm. Find the area of cardboard needed to make the box.
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A)2508 cm2
B)2500 cm2
C)2165 cm2
D)837 cm2
14

Dr. Chou surveyed those of his patients who suffered from migraine headaches. He made a table showing the age of the patient, and the average number of headaches per month. Use a graph to help you form a hypothesis regarding the relationship between age and headaches per month.
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A)There is no relationship apparent.
B)As age increases, the number of headaches per month remains the same.
C)As age increases, the number of headaches per month increases.
D)As age increases, the number of headaches per month decreases.
15

The Rose City YMCA has exercise classes for teenagers, young adults, middle agers, and seniors. The director must decide what music to play for each of these classes, and will survey all of the YMCA members who take these classes. The most appropriate sampling technique is
A)stratified random sampling.
B)simple random sampling.
C)systematic random sampling.
D)non-random sampling.
16

Eva manages the school cafeteria. She collected data on the number of times each of 20 randomly-selected students purchased lunch in the cafeteria over a period of one month.

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The mean, median, and mode of these data are:
A)5, 7, and 4.
B)7, 5 and 4.
C)7, 4, and 5.
D)4, 7, and 5.
17

Eva found an error in her data, shown in the previous question. The 18 should have been a 12. How will this affect the mean, median, and mode?
A)The mean and median will decrease. The mode will not change.
B)All three measures will decrease.
C)The median and mode will decrease. The mean will not change.
D)The mean will decrease. The median and mode will not change.
18

Evaluate 4 – (–3) + (–2) – (+5).
A)–6
B)0
C)1
D)4
19

Evaluate 6 x (–4) ÷ (–8)
A)–4
B)–3
C)3
D)4
20

Which quadrant does the point with coordinates (–2, –3) lie in?
A)First
B)Second
C)Third
D)Fourth
21

Which of the numbers shown is greatest?

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A)
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B)
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C)
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D)
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22

Evaluate
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A)1
B)2
C)5
D)6
23

Hamid finds several discarded parking stubs in a parking lot. The first shows $4.50 for 3 h. The second shows $7.50 for 5 h. The third shows $6.00 for 4 h. Hamid reasoned that the relation between cost and number of hours is
A)C = 1.5h
B)C = 4.5h
C)C = 1.5h + 4.5
D)C = 4.5h + 1.5
24

Celeste measured the mass of the propane tank on her barbecue several times as she used it. After 2 h of burning, the mass was 14 kg. After 3 h, the mass was 11 kg. Use a graph to determine the mass of the tank before she began using the barbecue.
A)16 kg
B)17 kg
C)18 kg
D)20 kg
25

Which equation matches the linear relation shown?
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A)y = 2x – 1
B)y = 2x + 1
C)y = 0.5x – 1
D)y = 0.5x + 1
26

Which expression best describes the graph of the relation y = 5 – x2.
A)The graph is a straight line, rising to the right.
B)The graph is a straight line, falling to the right.
C)The graph curves downwards to the right.
D)The graph curves upwards to the right.
27

Use first differences to determine which of the following relations is linear.
A)
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B)
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C)
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D)
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