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application of Mathematics grade 10 level 1

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; Subject: ; Class: ; with 40 questions; test in 40 minutes; update 04/07/2018
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Question 1.

At Grocerymart, cherries cost $3.57 per pound. At Buy-Foods, cherries cost $7.64 per kilogram. Which store has the lower price?

(A)

No comparison can be made.

(B)

Both stores have the same price.

(C)

Grocerymart has the lower price.

(D)

Buy-Foods has the lower price.

Question 2.

The distance from Vancouver to Abbotsford is 80 km. If a car is travelling at 55 km/h , how long will it take to drive from Vancouver to Abbotsford?

(A)

1 hour 9 min

(B)

1 hour 25 mi

(C)

1 hour 27 min

(D)

1 hour 45 min

Question 3.

Lisa, Anka and Melissa leave their homes and plan on meeting at a store located at (2, 3). Lisa leaves from (4 , 7) , Anka leaves from (7, 3) and Melissa leaves from (2, -3) . If they all walk at the same speed, in what order will they reach the store?

(A)

Lisa, Melissa, Anka

(B)

Lisa, Anka, Melissa

(C)

Melissa, Lisa, Anka

(D)

Melissa, Anka, Lisa

Question 4.

A straight road connects two houses. If Vic’s house is located at (-4, 2) and Duncan’s house is at (6, –5), how far apart are the two houses? Units are in kilometres.

(A)

3.61 km

(B)

7.28 km

(C)

10.44 km

(D)

12.21 km

Question 5.

If the top of a waterslide starts at (12, 110) and a point halfway down the waterslide is at (43, 59), what are the coordinates at the bottom of the waterslide?

(A)

(-19, 161)

(B)

(27.5, 84.5)

(C)

(37, 4)

(D)

(74, 8)

Question 6.

When a coordinate grid is drawn over a map of a community, Mark’s house is located at (-3, 2) . Chris lives 4 blocks north and 3 blocks east of Mark’s house. Which of the following statements are true about a line connecting their homes?

(A)

I and II

(B)

I and III

(C)

II and III

(D)

I, II and III

Question 7.

Which one of the following statements is true?

(A)

The x-intercept is 1.

(B)

The slope of the line is 3.

(C)

The equation of the line is y = -\({1\over 3}\)x + 1.

(D)

The line passes through the point (-9, -2).

Question 8.

Which of the following describes the slope of the x-axis?

(A)

zero slope

(B)

positive slope

(C)

negative slope

(D)

undefined slope

Question 9.

What is the approximate line of best fit for the data below?

(A)

y = -\({1\over 2}\)x - 4

(B)

y = \({1\over 2}\)x - 4

(C)

y = -\({1\over 2}\)x + 4

(D)

y = \({1\over 2}\)x + 4

Question 10.

Which of the choices below places the correlation coefficients, r, from weakest to strongest?

(A)

-0.97, -0.53, 0 , 0.81

(B)

-0.53, -0.97, 0 , 0.81

(C)

-0.97, 0.81, -0.53, 0

(D)

0 , -0.53, 0.81, -0.97

Question 11.

The following table shows data for several players on the Prince George Cougars.

What is the correlation coefficient, r, for the hockey data?

(A)

–0.80

(B)

-0.74

(C)

0.54

(D)

0.89

Question 12.

The table below shows the Age Distribution of the population of Creston.

Which Age Range has more Males than Females?

(A)

0 – 14

(B)

15 – 24

(C)

25 – 44

(D)

45 – 64

Question 13.

The following spreadsheet represents the partial repayment of a loan.

What is the Interest Rate of the loan?

(A)

0.65%

(B)

6.50%

(C)

10.00%

(D)

15.40%

Question 14.

The table below shows the salary increases given to four employees.

Who received the highest salary increase in dollars?

(A)

Bill

(B)

Sheila

(C)

Lorne

(D)

Dawn

Question 15.

The following table represents an employee’s record of hours worked.

The base pay is $6.50 h plus double time for overtime. Overtime is classified as any time worked over 40 h per week. What are the earnings for the week?

(A)

$260.00

(B)

$269.75

(C)

$274.63

(D)

$279.50

Question 16.

Liza takes out a $156 000 loan to buy a house. The following table represents the first two months of her loan.

What is her monthly payment?

(A)

$925.00

(B)

$780.00

(C)

$779.28

(D)

$145.00

Question 17.

The following spreadsheet represents the repayment of a $5000 loan over 5 years.

What extra payment would pay off the loan at the end of Year 3?

(A)

$1285.46

(B)

$2261.28

(C)

$2570.92

(D)

$3253.89

Question 18.

The following spreadsheet represents the cost of several items in a store.

Which of the following formulas would calculate the value of cell E4?

(A)

= B4 + C4 + D4

(B)

= B4 - C4 - D4

(C)

= B4 + C4 - D4

(D)

= B4 - C4 + D4

Question 19.

Julie’s Tire Town had the following quantities of tires in stock this month.

If Julie plans to have 30% more of each type of tire in stock, which calculation would determine how many more tires she needs to buy?

(A)

multiply the quantity of each tire by 30

(B)

multiply the quantity of each tire by 1.3

(C)

divide the quantity of each tire by 0.3

(D)

multiply the quantity of each tire by 0.3

Question 20.

If an ant travelled from A to B to C along the dotted path, how far did it travel?

(A)

23.0 cm

(B)

23.3 cm

(C)

23.9 cm

(D)

33.0 cm

Question 21.

Ravi plots the following data:

If Ravi wants to see all the data on his calculator screen, which of the following window settings should he use?

(A)

x min = -10    x max = 10

y min = -10   y max = 10

(B)

x min = 0    x max = 10

y min = 0    y max = 25

(C)

x min = 0    x max = 25

y min = 0    y max = 10

(D)

x min = 0      x max = 25

y min = -10  y max = 10

Question 22.

Andi buys a $10 “pay-as-you-go” phone card. It costs $0.15 per minute to talk. She talks on her phone for 40 minutes. Which graph below best represents this scenario?

(A)

(B)

(C)

(D)

Question 23.

For the first two days a DVD rental is overdue, there is no fine. After the first two days of being overdue, a fine of $2.50 per day is charged. Which table best represents the fine over time?

(A)

(B)

(C)

(D)

Question 24.

Which table of values below shows a y-value that results from doubling each x-value and subtracting 3?

(A)

(B)

(C)

(D)

Question 25.

Hardeep calls Chicago Pizza to get prices for a pizza party. A party of 6 people will cost $68.00, while a party of 12 people will cost $116. What will a party of 10 people cost?

(A)

$80.00

(B)

$96.67

(C)

$100.00

(D)

$113.33

Question 26.

Which of the following statements is true for this graph?

(A)

The domain is {0, 1, 2, 3, 4, 5}

(B)

The range is {0, 1, 2, 3, 4, 5} .

(C)

The domain is all numbers from 0 to 5.

(D)

The range is all real numbers.

Question 27.

A new truck costs $50 000. It depreciates at the rate of $4 000 per year. If V represents the value of the truck in dollars and t represents the time in years, which equation represents the value of the truck over time?

(A)

t (V) = 50 000 - 4 000V

(B)

V (t) = 4 000t - 50 000

(C)

V (t) = 50 000 + 4 000t

(D)

V(t) = 50 000 - 4 000t

Question 28.

Water is draining from a full 4620 L tank at the rate of 55 L per hour. Which of the following can be used to describe the volume, V, over time, t, in hours?

(A)

I only

(B)

II only

(C)

II and III only

(D)

I, II and III

Question 29.

Which of the following are characteristics of the line y = 2x - 3 ?

(A)

I and III only

(B)

I and IV only

(C)

II and III only

(D)

II and IV only

Question 30.

Which of the following could be the graph of y = -3x + 5 ?

(A)

(B)

(C)

(D)

Question 31.

What is the surface area of the sphere below?

(A)

113 cm2

(B)

452 cm2

(C)

905 cm2

(D)

1810 cm2

Question 32.

What is the radius of a spherical balloon with a volume of 36 m3 ?

(A)

1.4 m

(B)

1.7 m

(C)

2.0 m

(D)

2.9 m

Question 33.

What is the volume of a ball that just fits inside the hemispherical bowl below?

(A)

201.06 cm3

(B)

268.08 cm3

(C)

804.25 cm3

(D)

2144.66 cm3

Question 34.

On a map, a river is 92 cm long. The map has a scale of 1 : 50 000. What is the actual length of the river in kilometres?

(A)

46 km

(B)

184 km

(C)

460 km

(D)

543 km

Question 35.

Which of the following would be the most appropriate instrument to measure the length of a school parking lot?

(A)

ruler

(B)

decigram scale

(C)

metre stick

(D)

trundle wheel

Question 36.

Participants in a race must kayak for 23 km, ride a bicycle for 42 miles and hike for 8750 metres. What range below would contain the total race distance?

(A)

less than 70 km

(B)

70 to 90 km

(C)

90 to 110 km

(D)

more than 110 km

Question 37.

The solid cylinder below needs to be completely covered with one coat of paint. One can of paint covers an area of 2.6 m2.

How many cans of paint will be required?

(A)

3

(B)

6

(C)

7

(D)

18

Question 38.

A cross section of a roof is shown below.

What is the span, x, of the roof?

(A)

14.6 m

(B)

13.4 m

(C)

10.0 m 

(D)

7.3 m

Question 39.

Two lighthouses are located on either side of an inlet. A ship 17.6 m tall is directly between the lighthouses. The angles to the top of the ship from each lighthouse are 12° and 13°.

What is the distance, x, between the two lighthouses?

(A)

36.1 m

(B)

159.0 m

(C)

162.9 m

(D)

165.6 m

Question 40.

A 10 m ladder reaches halfway up the wall of the building. Using the diagram below, what is the distance, d, from the ground to the highest point on the roof ?

(A)

40.00 m

(B)

38.79 m

(C)

37.59 m

(D)

29.40 m

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30    Question 31    Question 32    Question 33    Question 34    Question 35    Question 36    Question 37    Question 38    Question 39    Question 40   
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