Free Printable GED 9 - Mathematics (RMS Key)

1.

4 scores and 5 years ago means

a)

65 years

b)

85 years

c)

75 years

d)

45 years

2.

5 + (2 + 6) = (5 + 2) + 6

a)

Distributive Property

b)

Associative Property

c)

Reflexive Property

d)

Transitive Property

3.

A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue. What is the probability of getting a red ball?

a)

1/3

b)

4/15

c)

2/5

d)

2/3

4.

A certain number doubled and increased by 10 is 14. What is the number?

a)

4

b)

5

c)

2

d)

3

5.

A class is composed of 12 girls and 18 boys. In a quiz, the average score of the girls was 89 while the boys was 84. Find the average score of the whole class.

a)

86

b)

87.5

c)

88

d)

86.5

6.

A cube has a volume of 64 cubic meters. What are its dimensions?

a)

8 cubic meters x 8 cubic meters x 1 cubic meters

b)

16 cubic meters x 2 cubic meters x 2 cubic meters

c)

4 cubic meters x 4 cubic meters x 4 cubic meters

d)

16 cubic meters x 2 cubic meters x 2 cubic meters

7.

A meter was cut at the 35-cm mark. What is the ratio of the smaller piece to the larger piece?

a)

7:13

b)

65:100

c)

35:100

d)

65:35

8.

A pair of shoes originally priced at P600 is being sold at a discount of 30%. How much will you pay for the shoes?

a)

P180

b)

P300

c)

P450

d)

P420

9.

A stick 96 cm long is to be divided in the ratio 3:4:5. How long is the longest part?

a)

8

b)

40

c)

16

d)

24

10.

A tank can be filled by two pipes in 4 hours and 6 hours, respectively. It can be emptied by a third pipe in 5 hours. In what time can the tank be filled if the three pipes are open?

a)

3.87 hrs

b)

4.12 hrs

c)

4.62 hrs

d)

3.92 hrs

11.

A trapezoid whose height is 12 cm and whose bases are 30 cm and 48 cm respectively. Find its area.

a)

234

b)

108

c)

117

d)

468

12.

A water tank is 2/3 full. After drawing out 15 liters of water from it, it became one-half full. What is the full capacity of the tank in liters?

a)

60 liters

b)

110 liters

c)

75 liters

d)

90 liters

13.

An isosceles triangle has a base of 5 meters and a perimeter of 25 meters. Find the length of the equal sides.

a)

30 m

b)

20 m

c)

10 m

d)

50 m

14.

Ben’s farm has pigs and ducks. His father said that his pigs and ducks had a total of 170 legs and 65 heads. How many ducks are in Ben’s farm?

a)

45

b)

15

c)

30

d)

20

15.

Carol is buying an ice cream. The ice cream costs 30 pesos plus 15 pesos charge for each additional scoop. Which expression correctly models the amount Carol will pay if she has an additional x scoops?

a)

x = 30y + 15

b)

y = 15x + 30

c)

y = 30x + 15

d)

x = 15x + 30

16.

Determine the midpoint of the line segment joining the points (5, -3) and (-1, 6).

a)

(2, 3/2)

b)

(1, 5/2)

c)

(2, -3/2)

d)

(3, 3/2)

17.

Elsa is three times as old as Anna. Six years from now, Elsa will be twice as old as Anna. How old is Elsa now?

a)

24

b)

6

c)

18

d)

12

18.

Employees will receive a 10% increase in their salary next month. If an employee receives a monthly salary of Php 14,000.00, how much will they receive next month?

a)

Php 24,200.00

b)

Php 22,400.00

c)

Php 15,400.00

d)

Php 18,200.00

19.

Find m in the proportion $\frac{m}{12}$ = $\frac{30}{24}$ .

a)

15

b)

30

c)

20

d)

25

20.

Find the general equation of the line which passes through the points (2, -1) and (-3, 5).

a)

5x - 6y - 7 = 0

b)

6x + 6y - 5 = 0

c)

6x + 7y - 5 = 0

d)

6x + 5y - 7 = 0

21.

Find the greatest common factor of: 9x³y²z⁴, 15x²y²z³, 12x²y⁴

a)

3x²y²z³

b)

3x²y²

c)

3x³y²z⁴

d)

3x²z⁴

22.

Find the least common multiple of: 3x³y³z⁴, 5x²z³, 2x⁵y⁴z²

a)

30x⁵y²z⁴

b)

30x³y³z³

c)

30x⁵y⁴z⁴

d)

30x²z³

23.

Find the midpoint of the line segment that has endpoints (2,1) and (-4,5).

a)

(1, 3)

b)

(1, -3)

c)

(-1, 3)

d)

(-1, -3)

24.

Find the number of ways of selecting 4 books from 6 books in a shelf.

a)

25

b)

18

c)

15

d)

30

25.

How do you express 'six less than thrice a number n is 17' in a mathematical expression?

a)

3n - 6 = 17

b)

3n < 6 = 17

c)

6 < 3n = 17

d)

6 - 3n = 17

26.

How many centimeters are there in a kilometer?

a)

10,000

b)

1,000,000

c)

1,000

d)

100,000

27.

How many decimeters of fencing materials are needed to enclose an 8 meters by 13 meters rectangular garden?

a)

360 dm

b)

420 dm

c)

520 dm

d)

480 dm

28.

How much greater is the sum of the first 20 counting numbers than the sum of the first 10 counting numbers?

a)

55

b)

110

c)

155

d)

100

29.

If 500 or 25% of a graduating class are boys, how many are graduating?

a)

5,000

b)

10,000

c)

2,000

d)

20,000

30.

If the length of a rectangle is 15 cm and its width is 10 cm, what is its perimeter?

a)

25

b)

50

c)

60

d)

85

31.

If the measure of an angle is twice the measure of its complement, what is the measure of the angle?

a)

60 degrees

b)

30 degrees

c)

120 degrees

d)

90 degrees

32.

In a group of 50 male students, 18 play basketball, 26 play volleyball, and 2 play both basketball and volleyball. How many of these students do not play either basketball or volleyball?

a)

10

b)

12

c)

5

d)

8

33.

In a room of eight people, how many handshakes will be made if every person shakes hand with everyone else exactly once?

a)

12

b)

16

c)

32

d)

28

34.

In how many ways can 7 people be seated around a circular table?

a)

49

b)

720

c)

14

d)

5040

35.

In how many ways can 5 girls be seated in a row of 5 seats?

a)

120

b)

550

c)

25

d)

250

36.

Interest at 8% after 3 months on Php 6,000.00.

a)

50

b)

250

c)

150

d)

120

37.

It takes 8 days for 35 laborers to harvest coffee on a plantation. How long will 20 laborers take to harvest coffee on the same plantation?

a)

20 days

b)

14 days

c)

10 days

d)

4.6 days

38.

John paid Php 1,800 for a motorcycle and a monthly installment of Php 800 for 3 years. Calculate the total amount paid by John.

a)

Php 25,800

b)

Php 28,800

c)

Php 30,600

d)

Php 24,800

39.

Kyle’s father is twice as old as Kyle. In 20 years, Kyle will be two-thirds as old as his father. How old is Kyle now?

a)

25 years old

b)

30 years old

c)

20 years old

d)

15 years old

40.

Ma’am Maria’s class consists of 20 boys and 15 girls in her Math class. What percent of the students are girls?

a)

28%

b)

50%

c)

43%

d)

44%

41.

Mark answered 70% of the 60 items correctly in a Science exam. How many items did he answer incorrectly?

a)

25

b)

30

c)

18

d)

42

42.

Mark divides his day into leisure, sleep, and work in the ratio 1:2:3. How many hours does he spend for work?

a)

8

b)

4

c)

16

d)

12

43.

Mark’s aquarium has a length, width, and height of 10 cm, 8 cm, and 6 cm, respectively. The volume of the aquarium is ________.

a)

144 cu cm

b)

420 cu cm

c)

480 cu cm

d)

240 cu cm

44.

Olivia bought a pair of pants for Php 875.00, which was on sale at 30% off. What was the original price of the pants?

a)

Php 1,250.00

b)

Php 1,300.00

c)

Php 1,150.00

d)

Php 1,100.00

45.

Simplify $\frac{(3x-9)}{(x^2-9)}$

a)

$\frac{3}{\left(x+3\right)}$

b)

$\frac{3}{\left(x+1\right)}$

c)

$\frac{3}{\left(x-1\right)}$

d)

$\frac{3}{\left(x-3\right)}$

46.

Simplify the following expression: (4x + 9y - 10z) - (3x + 5y + 11z)

a)

x + 4y - 21z

b)

7x + 4y - 21z

c)

7x + 3y - z

d)

x - 3y + z

47.

Simplify: $\frac{\left(\frac{2}{3}+\frac{5}{6}\right)}{\left(\frac{4}{5}-\frac{1}{3}\right)}$

a)

13/45

b)

45/13

c)

45/14

d)

14/45

48.

Simplify: a²-1)/ $\frac{\left(a^2-1\right)}{\left(a^3+1\right)}\div\frac{\left(a^2\right)}{\left(a^2-a+1\right)}$

a)

$\frac{2}{\left(a+1\right)}$

b)

$\frac{\left(a-1\right)}{a^2}$

c)

$\frac{\left(a+1\right)}{a^2}$

d)

$\frac{\left(x-3\right)}{3}$

49.

Simplify : $2\ \sqrt[]{\left(9x^4y^2\right)}$

a)

$6x^2y^4$

b)

$6x^2y^2$

c)

$6x^2y$

d)

$6x^2y^3$

50.

Simplify : 2x + { 4y - (5x - 3y) }

a)

3x - 7y

b)

-3x + 7y

c)

-3x - y

d)

3x + y

51.

Simplify: 3(x – 4y) – (4y – 3x) – (2x + y).

a)

4x - 17y

b)

-4x + 17y

c)

4x + 17y

d)

-4x - 17y

52.

Solve for x: 6x + 3 = 2x + 11.

a)

3

b)

4

c)

1

d)

2

53.

Solve for x: $\frac{x}{\left(x+8\right)}=\frac{5}{15}$

a)

6

b)

5

c)

4

d)

3

54.

The area of the rectangular garden is 40 square meters. The length of the garden is 3 meters more than its width. Find the dimension of the rectangular garden.

a)

8m by 5m

b)

7m by 4m

c)

6m by 3m

d)

10m by 4m

55.

The boy received his report card with the following grades: 93, 88, 80, 86, and 83. What is his average grade?

a)

88

b)

86

c)

86.20

d)

87

56.

The fence in the yard is square in shape. One side is 11 meters. How many meters of wood are needed to enclose the fence?

a)

22

b)

44

c)

55

d)

33

57.

The measures of the angles of a triangle are in a ratio of 2:3:4. Find the measure of the middle angle.

a)

50°

b)

80°

c)

60°

d)

30°

58.

The following table summarizes the scores of a class on the recent test in Filipino: The median score interval is ______.

a)

64–69

b)

40–47

c)

48–55

d)

56–63

59.

The number 22,476,216 is NOT divisible by which of the following numbers?

a)

8

b)

4

c)

9

d)

3

60.

The number 99,132 is NOT divisible by which of the following factors?

a)

3

b)

2

c)

8

d)

4

61.

The ratio in a right triangle of adjacent to hypotenuse is ______.

a)

Tangent

b)

Cosine

c)

Inverse cosine

d)

Sine

62.

The school canteen offers 4 different viands, 1 plain rice, 2 types of dessert, and 3 types of drinks. If a student wishes to eat, in how many ways can he/she choose?

a)

4

b)

12

c)

10

d)

24

63.

The sides of a triangle are 3, 6, and 8. If the largest side of a similar triangle is 16, what is the shortest side?

a)

12

b)

18

c)

24

d)

6

64.

The solution set for the equation: x² - 4x - 5 = 0

a)

x = 5, -1

b)

x = 5, 1

c)

x = 5, 9

d)

x = -5, 1

65.

The two complementary angles are in the ratio 1:4. What is the larger angle?

a)

72

b)

18

c)

36

d)

90

66.

Thomas scored 79, 84, 86, 88, and 92 in his tests in Calculus. What should be his score on the 6th test to get an average of 85?

a)

84

b)

82

c)

81

d)

83

67.

What angle relationship exists between the two acute angles of a right triangle?

a)

supplementary

b)

linear pair

c)

adjacent

d)

complementary

68.

What are the prime factors of 273?

a)

3 x 6 x 9 x 11

b)

3 x 11 x 17

c)

3 x 3 x 7 x 7

d)

3 x 7 x 13

69.

What is 25% of 572?

a)

129

b)

143

c)

137

d)

112

70.

What is the degree of the following polynomial: 6x² - 3x³ + 9

a)

6

b)

9

c)

2

d)

3

71.

What is the domain of f(x) = √(x - 2)?

a)

Set of all real numbers

b)

x < 2

c)

x ≥ 2

d)

R - {2}

72.

What is the exponent in the expression 13x^2 + y?

a)

2

b)

13

c)

x

d)

y

73.

What is the largest prime number less than 100?

a)

91

b)

93

c)

95

d)

97

74.

What is the least common multiple of 24 and 80?

a)

240

b)

80

c)

480

d)

360

75.

What is the length of the hypotenuse of a right triangle with legs 6 meters and 8 meters?

a)

9 meters

b)

7 meters

c)

12 meters

d)

10 meters

76.

What is the measure of each side of a square whose perimeter is 108 inches?

a)

23

b)

27

c)

26

d)

22

77.

What is the median of 13, 14, 16, 20, and 23?

a)

19.4

b)

18

c)

17.2

d)

16

78.

What is the midpoint of the line segment joining the points (3,7) and (-2,5)?

a)

(1/2, -6)

b)

(1/2, 2)

c)

(-1/2, 6)

d)

(1/2, 6)

79.

What is the probability of getting a jack in a standard deck of cards?

a)

1/4

b)

1/13

c)

17/52

d)

4/13

80.

What is the range in this set of data 1, -2, 5, 3, -6, 4, and -4?

a)

10

b)

4

c)

3

d)

11

81.

What is the slope given the points (3, -5) and (-2, 4)?

a)

-5/9

b)

9/5

c)

-9/5

d)

5/9

82.

What is the slope of the following equation: 2x - y - 7 = 0?

a)

1

b)

4

c)

3

d)

2

83.

What is the sum of the first 20 counting numbers?

a)

420

b)

400

c)

105

d)

210

84.

What is the value of the function f(x) = x² - 3x + 4 if x = -5?

a)

14

b)

44

c)

-6

d)

-5

85.

What is the value when 8.56 is multiplied by 10 to the sixth power?

a)

8560

b)

85600

c)

8560000

d)

856000

86.

What kind of pattern consists of a series of shapes that are typically repeated?

a)

Wave

b)

Spiral

c)

Spiral Pattern

d)

Geometric Pattern

87.

What measure of central tendency is the most frequently occurring score in a distribution?

a)

Average

b)

Median

c)

Mean

d)

Mode

88.

What measure of central tendency can best describe the size of t-shirts commonly used by teenagers?

a)

Median

b)

Mean

c)

Mode

d)

Range

89.

What number must be subtracted from both numerator and denominator of the fraction 11/23 to give a fraction whose value is 2/5?

a)

2

b)

4

c)

3

d)

5

90.

What sequence is the reciprocal of the terms behaved in a manner like arithmetic sequence?

a)

Fibonacci Sequence

b)

Geometric Sequence

c)

Arithmetic Sequence

d)

Harmonic Sequence

91.

What should be the value of x in the equation -2x + 10 = 16?

a)

3

b)

6

c)

-3

d)

-6

92.

What is the mode of the set of scores 26, 40, 39, 49, 57, 28, 40, 57, 40, and 49?

a)

26

b)

49

c)

57

d)

40

93.

Which among the measures of central tendency is influenced by outliers?

a)

Mean

b)

Median

c)

Range

d)

Mode

94.

Which graph is useful in displaying data or information that changes continuously over time?

a)

Pie Graph

b)

Circle Graph

c)

Line Graph

d)

Pictograph

95.

Which is the length of the hypotenuse of a right triangle with legs 5 inches and 12 inches?

a)

13 in

b)

17 in

c)

21 in

d)

18 in

96.

Which of the following has the largest perimeter?

a)

Rectangle with sides 22 and 23 cm

b)

Square with side 22 cm

c)

Circular pizza with radius 13 cm

d)

Equiangular triangle with a 24 cm side

97.

Which of the following is NOT a prime number?

a)

41

b)

61

c)

31

d)

51

98.

Which of the following is NOT the sides of a right triangle?

a)

5, 12, 13

b)

20, 21, 29

c)

3, 4, 5

d)

7, 8, 12

99.

Which of the following is the product of 13 and an integer?

a)

1326

b)

131

c)

1343

d)

1323

100.

Who is the Father of Problem Solving?

a)

Johann Gauss

b)

George Polya

c)

Blaise Pascal

d)

Aristotle

GED 9 - Mathematics (RMS Key)

Total questions: 100

Worksheet time: 2hrs 40mins

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