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application of Mathematics grade 11 level 1

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; Subject: ; Class: ; with 30 questions; test in 45 minutes; update 23/08/2018
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Subjects Update 23/08/2018
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Question 1.

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

(A)

$44.44

(B)

$109.08

(C)

$118.80

(D)

$408.04

(E)

$444.40

Question 2.

When x = 3 and y = 5, by how much does the value of 3x2 – 2exceed the value of 2x2 – 3y ?

(A)

4

(B)

14

(C)

16

(D)

20

(E)

50

Question 3.

What is the value of x when 2x + 3 = 3x – 4 ?

(A)

-7

(B)

(C)

1

(D)

(E)

7

Question 4.

What is the greatest common factor of 42, 126, and 210 ?

(A)

2

(B)

6

(C)

14

(D)

21

(E)

42

Question 5.

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

(A)

16

(B)

17.5

(C)

20.5

(D)

22

(E)

35

Question 6.

In the figure below, ray  was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays  and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:

(A)

are equal.

(B)

are NOT equal.

(C)

sum to 30°.

(D)

sum to 45°.

(E)

sum to 60°.

Question 7.

Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of  + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?

(A)

362

(B)

500

(C)

800

(D)

1250

(E)

1275

Question 8.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

(A)

l = w + 3

(B)

l =  w + 3

(C)

l =  w - 3

(D)

l = 2w + 3

(E)

l = 2w – 3

Question 9.

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

(A)

158

(B)

132

(C)

120

(D)

110

(E)

70

Question 10.

How many irrational numbers are there between 1 and 6 ?

(A)

1

(B)

3

(C)

4

(D)

10

(E)

Infinitely many

Question 11.

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

(A)

14

(B)

44

(C)

48

(D)

54

(E)

66

Question 12.

In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

(A)

(3,–7)

(B)

(4,–8)

(C)

(5,–1)

(D)

(8,–3)

(E)

(9,–3)

Question 13.

The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 \(1 \over 2\) inches long and has a lead of  \(1 \over 8\) inch, how many complete turns would get it all the way into a piece of wood?

(A)

5

(B)

10

(C)

15

(D)

20

(E)

25

Question 14.

If xy = 144, x + y = 30, and x > y, what is the value of x – y ?

(A)

4

(B)

6

(C)

18

(D)

22

(E)

24

Question 15.

Which of the following is the sine of angle A in the right triangle below?

(A)

\(5\over 13\)

(B)

\(5\over 12\)

(C)

\(12/over 13\)

(D)

\(12\over 5\)

(E)

\(13\over 5\)

Question 16.

Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink.

Salads Soups Sandwiches Drinks
cole slaw
lettuce
potato
onion
tomato
meat loaf
chicken
hamburger
ham
tenderloin
milk
cola
coffee
tea

How many different daily lunch specials are possible?

(A)

4

(B)

14

(C)

30

(D)

120

(E)

180

Question 17.

he volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V =  2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

(A)

2

(B)

4

(C)

8

(D)

12

(E)

16

Question 18.

A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?

(A)

3

(B)

\(\sqrt{63}\)

(C)

15

(D)

21

(E)

225

Question 19.

In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDED and F are on ABAD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?

(A)

5

(B)

4

(C)

3

(D)

2

(E)

1

Question 20.

 

Which of the following is a factor of the polynomial 2x2 – 3x – 5 ?

(A)

x - 1

(B)

2x - 3

(C)

2x – 5

(D)

2x + 5

(E)

3x + 5

Question 21.

What is x, the second term in the geometric series \(1\over 4\) + \(1\over 36\) + \(1\over 108\) + ... ?

(Note: In a geometric series the ratio of any term to the following term is constant.)

(A)

\(1\over 3\)

(B)

\(1\over 9\)

(C)

\(1\over 12\)

(D)

\(1\over 16\)

(E)

\(1\over 18\)

Question 22.

What is the slope of any line parallel to the line 9x + 4y = 7 ?

(A)

-9

(B)

-\(9\over 4\)

(C)

\(9\over 7\)

(D)

7

(E)

9

Question 23.

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

(A)

$86.00

(B)

$77.60

(C)

$56.00

(D)

$50.00

(E)

$44.00

Question 24.

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?

(A)

15°

(B)

30°

(C)

45°

(D)

60°

(E)

72°

Question 25.

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?

(A)

\(1\over 4\)

(B)

\(3\over 8\)

(C)

\(3\over 5\)

(D)

\(5\over 8\)

(E)

\(7\over 8\)

Question 26.

A circle has a circumference of 16 feet. What is the radius of the circle, in feet?

(A)

\(\sqrt8\)

(B)

4

(C)

8

(D)

16

(E)

32

Question 27.

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

(A)

15

(B)

50

(C)

200

(D)

3\(\sqrt{15}\)

(E)

6\(\sqrt{15}\)

Question 28.

In the standard (x,y)coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) ?

(A)

(2,2)

(B)

(2,4)

(C)

(5,2)

(D)

(5,4)

(E)

(5,5)

Question 29.

Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D. The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C. What is the distance, in units, from the midpoint of \(\overline {BC}\) to the midpoint of \(\overline {CD}\)?

(A)

18

(B)

14

(C)

12

(D)

9

(E)

6

Question 30.

Which of the following statements must be true whenever nab, and c are positive integers such that n < a, c> a, and b> c?

(A)

a < n

(B)

b - n > a - n

(C)

b < n

(D)

n + b =  a + c

(E)

2n > a + b

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   
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