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application of Mathematics grade 11 level 2

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; Subject: ; Class: ; with 30 questions; test in 45 minutes; update 24/08/2018
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Subjects Update 24/08/2018
Class Number of questions 30
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Question 1.

The distribution of Jamal’s high school grades by percentage of course credits is given in the circle graph below. What is Jamal’s grade point average if each A is worth 4 points; each B, 3 points; and each C, 2 points?

(A)

3.0

(B)

3.4

(C)

3.6

(D)

3.7

(E)

Cannot be determined from the given information

Question 2.

Which of the following equations represents the linear relationship between time, t, and velocity, v, shown in the table below?

t 0 1 2
v 120 152 184
(A)

v = 32t

(B)

v = 32t + 120

(C)

v = 120t

(D)

v = 120t + 32

(E)

v = 120t + 120

Question 3.

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

(A)

4.2

(B)

12.6

(C)

14.0

(D)

18.0

(E)

21.0

Question 4.

If n = 8 and 16 • 2m = 4n - 8, then m = ?

(A)

-4

(B)

-2

(C)

0

(D)

1

(E)

8

Question 5.

In the figure below, A, B, C, and D are collinear, \(\overline{FC}\)  is parallel to \(\overline{ED}\), \(\overline{BE}\)  is perpendicular to \(\overline{ED}\) , and the measures of ∠FAB and ∠EBA are as marked. What is the measure of ∠FCB ?

(A)

33°

(B)

57°

(C)

63°

(D)

84°

(E)

Cannot be determined from the given information

Question 6.

Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane?

(A)

x – y = 1

(B)

x – y = 25

(C)

x2 + y = 25

(D)

x2 + y2 = 5

(E)

x2 + y2 = 25

Question 7.

Taher plans to cut the 3 pieces of lumber for the flower bed border from a single piece of lumber. Each cut takes \(1\over 8\) inch of wood off the length of the piece of lumber. Among the following lengths, in inches, of pieces of lumber, which is the shortest piece that he can use to cut the pieces for the flower bed border?

(A)

178

(B)

179

(C)

180

(D)

181

(E)

182

Question 8.

The measure of ∠ABC in the figure is x°. Which of the following is an expression for β° ?

(A)

x°

(B)

2x°

(C)

(90 + x

(D)

(180 – x

(E)

(180 – \(x\over 2\)

Question 9.

After arranging the flower bed, Taher decides that the flower bed would look more attractive if 1 of the angles in the triangle were a right angle. He decides to place the right angle at vertex A and to leave the lengths of \(\overline{AB}\) and \(\overline{AC}\) as 4 and 5 feet, respectively. To the nearest 0.1 foot, how long of a piece of lumber would he need to replace the 6-foot piece represented by \(\overline{BC}\) ?

(A)

3.0

(B)

3.3

(C)

6.0

(D)

6.4

(E)

7.8

Question 10.

Which one of the following expressions has an even integer value for all integers a and c ?

(A)

8a + 2ac

(B)

3a + 3c

(C)

2a + c

(D)

a + 2c

(E)

ac + a2

Question 11.

A neighborhood recreation program serves a total of 280 children who are either 11 years old or 12 years old. The sum of the children’s ages is 3,238 years. How many 11-year-old children does the recreation program serve?

(A)

55

(B)

122

(C)

132

(D)

158

(E)

208

Question 12.

The geometric figure shown below consists of a square and 4 semicircles. The diameters of the semicircles are the sides of the square, and each diameter is 10 centimeters long. Which of the following is the closest approximation of the total area, in square centimeters, of this geometric figure?

(A)

100

(B)

160

(C)

260

(D)

400

(E)

730

Question 13.

Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below?

(A)

15 tan 20°

(B)

15 sin 20°

(C)

30 tan 20°

(D)

30 sin 20°

(E)

Question 14.

Quadrilateral ABCD is drawn on the standard (x,y) coordinate plane as shown below, with points E and F on \(\overline{AD}\). Point G is the center of rectangle BCEF. How many coordinate units long is \(\overline{AG}\) ?

(A)

\(\sqrt{10}\)

(B)

\(\sqrt{13}\)

(C)

\(\sqrt{85}\)

(D)

\(\sqrt{97}\)

(E)

11

Question 15.

What is the x-intercept of the graph of y = x2 – 4x + 4?

(A)

-2

(B)

-1

(C)

0

(D)

1

(E)

2

Question 16.

For all nonzero real numbers p, t, x, and y such that \(x\over y \)  = \(3p\over 2t\), which of the following expressions is equivalent to t ?

(A)

\(y\over 2\)

(B)

\(3px\over 2y\)

(C)

\(6py\over x\)

(D)

\(3py\over x\)

(E)

\(3py\over 2x\)

Question 17.

Ms. Hernandez began her math class by saying:

I’m thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?

What is the 5th number Ms. Hernandez is thinking of?

(A)

13

(B)

14

(C)

15

(D)

16

(E)

18

Question 18.

The graph of a certain hyperbola, y = h(x), is shown in the standard (x,y) coordinate plane below.

Among the following graphs, which best represents y = –h(x) ?

(A)

(B)

(C)

(D)

(E)

Question 19.

Each of the variables t, w, x, y, and z represents a different positive real number. Given the equations below, which of the 4 variables w, x, y, and z necessarily has the greatest value?

1.23w = t
1.01x = t
0.99y = t
0.23z = t

(A)

w

(B)

x

(C)

y

(D)

z

(E)

Cannot be determined from the given information

Question 20.

Which of the following is equivalent to \(5\over k\) + \(k + 3\over k + 5\)?

(A)

\(k + 8\over 2k + 5\)

(B)

\(k + 8\over k(k + 5)\)

(C)

\(5(k + 3)\over k(k + 5)\)

(D)

\(k^2 + 3k\over 5k + 25\)

(E)

\(k^2 + 8k + 25\over k(k + 5)\)

Question 21.

The 2 diagrams below show a circle of radius 1 inch with shaded sectors of angle x°, for 2 different values of x.

One of the following is the graph in the standard (x,y) coordinate plane of the area, y, of a shaded sector with angle x°, for all values of x between 0 and 360. Which is that graph?

(A)

(B)

(C)

(D)

(E)

Question 22.

If h(x) = x³ + x and g(x) = 2x + 3, then g(h(2)) = ?

(A)

7

(B)

10

(C)

17

(D)

19

(E)

23

Question 23.

In the figure below, points A and B are on opposite banks of a small stream. Point C is on the same bank of the stream as point B and approximately 18 meters from B. The measure of ∠CBA is 45°, and the measure of ∠BCA is 60°.

Which of the following expressions gives the approximate distance, in meters, between point A and point B
(Note: For ΔPQR, where pq, and r are the lengths of the sides opposite ∠P, ∠Q, and ∠R, respectively, .)

(A)

(B)

(C)

(D)

(E)

Question 24.

Each side of the smaller square in the figure below is x inches long, and each side of the larger square is c inches longer than a side of the smaller square. The area of the larger square is how many square inches greater than the area of the smaller square?

(A)

c2

(B)

xc

(C)

4c

(D)

(x + c)2

(E)

2xc + c2

Question 25.

An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?

(A)

 $325 

(B)

$375 

(C)

 $400 

(D)

 $408 

(E)

$425

Question 26.

If y(x-1)=z then x=

(A)

 y-z 

(B)

z/y + 1 

(C)

y(z-1) 

(D)

 z(y-1) 

(E)

1-zy

Question 27.

AB is an arc of length 20.4 cm on the circumference of a circle with center O and radius 8.5 cm.
What is the size of angle AOB in degrees?

(A)

 

135°

(B)

137.5°

(C)

140°

(D)

 

142.5°

Question 28.

There is an isosceles triangle ABC with |AB| = |AC| = 6, and angle BAC < 60°. 

The perimeter of this triangle is a whole number. 

How many triangles of that kind are there?

(A)

2

(B)

3

(C)

4

(D)

5

Question 29.

[image]

What is the size of angle ACD?

(A)

55°

(B)

57°

(C)

123°

(D)

125°

Question 30.

[image]

What is the size of angle ABC?

(A)

37°

(B)

41°

(C)

61°

(D)

78°

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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