Free Printable Math Reviewer for College Entrance Exam

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

What is the measure of angle A to the nearest degree?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

29.

Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?

a)

9285.73 ft

b)

96.36 ft

c)

24061.81 ft

d)

155.12 ft

30.

Find QR

a)

34.7 km

b)

2.2 km

c)

13.74

d)

31.1 km

31.

Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?

a)

5.461 feet

b)

9.743 feet

c)

6 feet

d)

7.65 feet

32.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

33.

If the measure of $\angle ABC=98^{\circ}$ and $\overrightarrow{BD}$ is an angle bisector. What is the measure of $\angle ABD\ and\ \angle DBC$ ?

a)

196

b)

98

c)

49

d)

Can't be determined

34.

Line r : y = -3x - 2 is parallel to line s and perpendicular to line t.

What are the slopes of line s and line t?

a)

s_{m = 3;}

t_{m = -1/3}

b)

s_{m = -1/3;}

t_{m = 3}

c)

s_{m = -3;}

t_{m = 1/3}

d)

s_{m = 1/3;}

t_{m = -3}

35.

37. If in triangles ABC and EDF, $\frac{AB}{DE}=\frac{BC}{FD}$ then they will be similar, when

a)

∠B = ∠E

b)

∠A = ∠D

c)

∠B = ∠D

d)

∠A = ∠F

36.

If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm, then AB is

a)

2.5cm

b)

5cm

c)

10cm

d)

5√2 cm

37.

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

a)

-71

b)

71

c)

145

38.

$\left(7f-3\right)\left(9f+1\right)=0$

a)

$f=\frac{3}{7},\ f=-\frac{1}{9}$

b)

$f=-\frac{3}{7},\ f=\frac{1}{9}$

c)

$f=\frac{3}{7,}\ f=\frac{1}{9}$

d)

$f=-\frac{3}{7},\ f=-\frac{1}{9}$

39.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

40.

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

a)

6

b)

9

c)

12

d)

27

e)

36

41.

What is the period of y= -3sin(x)?

a)

π

b)

2π

c)

3π

d)

4π

42.

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

a)

f(g(x))= -6x²+31

b)

f(g(x))= -6x²+24

c)

f(g(x))=18x²-84x+6

d)

f(g(x))=9x²-42x-1

43.

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+31

b)

g(f(x))= -6x²+24

c)

g(f(x))=18x²-84x+90

d)

g(f(x))=9x²-42x-41

44.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(-1\right)$

a)

13

b)

85

c)

9

d)

65

45.

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____

a)

$L$

b)

$\angle L$

c)

$\angle T$

d)

T

46.

If $\Delta MAN\cong\Delta BOY$ , which of the following statements are true?

a)

$\overline{MA}\cong\overline{BO}$

b)

$\overline{AN}\cong\overline{BY}$

c)

$\overline{BO}\cong\overline{NA}$

d)

$\overline{MN}\cong\overline{BO}$

47.

8. What is the area of a triangular backyard garden having side lengths of 54 m, 42 m, and 38 m?

a)

$794.64\ m^2$

b)

$794.65\ m^2$

c)

$796.64\ m^2$

d)

$797.64\ m^2$

48.

Solve the equation:
5x² - 35x + 60 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

49.

Solve for x. Assume that lines which appear to be diameters are actual diameters.

a)

8

b)

40

c)

48

d)

6

50.

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

a)

5.1

b)

9.9

c)

14.1

d)

10

Math Reviewer for College Entrance Exam

Total questions: 50

Worksheet time: 2hrs 33mins

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