wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Gen Ed Math

Total questions: 137

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

Which of the following numbers below is a prime number?

a)

1

b)

3

c)

6

d)

12

2.

Have only 2 factors: 1 and itself

a)

Odd

b)

Even

c)

Prime

d)

Composite

3.

Have more than 2 factors

a)

Odd

b)

Even

c)

Prime

d)

Composite

4.

If the probability that Jen will pass the exam is 5/8, what is the probability that she will not?

a)

1/8

b)

5/8

c)

3/8

d)

1

5.

How much will 25,000 amount to at 5% simple interest rate after 2 years?

a)

27,500

b)

28,500

c)

2,500

d)

27,000

6.

If Usain Bolt can run 100 meters in 8 seconds, how many meters can he run in 12 seconds?

a)

100 meters

b)

120 meters

c)

150 meters

d)

200 meters

7.

1/8 + 2/3 - 2/5 is equal to:

a)

1/5

b)

47/120

c)

1/6

d)

4/5

8.

20% is 2 is equal to...

a)

0.5

b)

0.4

c)

0.2

d)

0.1

9.

The least common multiple of 36 and 24 is

a)

72

b)

12

c)

36

d)

48

10.

How many prime numbers are there from 1 to 100?

a)

10

b)

15

c)

20

d)

25

11.

120 is 4/5 of what number?

a)

150

b)

96

c)

30

d)

24

12.

Which of the following factors is the prime factor of 60?

a)

6x10

b)

3x2x10

c)

5x3x2x2

d)

6x5x2

13.

Find the greatest common factor of the numbers 36 and 48

a)

6

b)

12

c)

1728

d)

144

14.

The average of five counting numbers is 20. What is the highest possible value that one of the numbers can have?

a)

20

b)

30

c)

40

d)

90

15.

Three brothers inherited a cash amount of 62,000 and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?

a)

75,000

b)

30,000

c)

24,800

d)

26,500

16.

Which pair of angles are supplementary?

a)

60 and 30

b)

85 and 65

c)

40 and 35

d)

130 and 50

17.

The vertex of an isosceles is 20 degrees. What is the measure of one of the base angles?

a)

150 degrees

b)

75 degrees

c)

80 degrees

d)

90 degrees

18.

What is the largest prime number less than 100?

a)

96

b)

97

c)

98

d)

99

19.

A group of cows and chickens, the number of legs was 14 more twice the number of heads. The number of cows was...

a)

5

b)

7

c)

10

d)

14

20.

What is the probability of getting a sum of 9 when rolling 2 dice?

a)

1/9

b)

5/36

c)

1/6

d)

7/36

21.

How much should a man deposit in a bank at 6% simple interest rate if he wants to earn 1,200 a year?

a)

10,000

b)

30,000

c)

15,000

d)

20,000

22.

Three men are paid 315 to do a certain job. The sum is to be divided among them in the ratio of 4:5:6 how much does each receive?

a)

84,104, 127

b)

84, 105, 126

c)

83, 106, 126

d)

83, 105, 127

23.

How many times will the digit 7 appear between 1 to 100?

a)

9

b)

20

c)

19

d)

11

24.

The angles of a triangle are in the ratio of 1:3:5. What is the largest angle?

a)

20

b)

60

c)

80

d)

100

25.

Simplify 2-1 ∘ 3-1 (2-1 + 3-1).

a)

b)

5/36

c)

36/5

d)

6//5

26.

What is the sum of the interior angles of a regular pentagon?

a)

720 degrees

b)

900 degrees

c)

180 degrees

d)

540 degrees

27.

A tin can has a radius of 6 cm and a height of 20 cm. What is the volume of milk that this container can hold? (Volume of a cylinder = πr2h)

a)

2000 cm3

b)

1689 cm3

c)

2261 cm3

d)

3000 cm3

28.

The hypotenuse of a right triangle is 25 ft. If one of the leg is 24 ft., what is the length of the other leg?

a)

6 ft.

b)

5 ft.

c)

7 ft.

d)

11 ft.

29.

A square and an equilateral triangle have equal perimeter. If the side of the square is 3 units less than the side of the triangle, what is the area of the square?

a)

100 sq. units

b)

81 sq. units

c)

144 sq. units

d)

64 sq. units

30.

A mother wants to have 2 children, both girls. Find the probability that both children will be girls.

a)

1/4

b)

1/3

c)

1/2

d)

1/9

31.

Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus. How old is Tanya now?

a)

8

b)

14

c)

36

d)

42

32.

A 12L solution that was 85% vinegar was mixed with an 8L solution of pure water. Find the new concentration of vinegar.

a)

41

b)

42.5

c)

51

d)

52.5

33.

Only 83,152 examinees passed in a Licensure Examination for Teachers out of 228, 963 examinees. What is the passing percentage?

a)

36%

b)

36.32%

c)

36.82%

d)

46.56%

34.

Which along the following is not a prime number?

a)

61

b)

71

c)

31

d)

51

35.

A bottle of perfume costs P10,000. If a discount of 10% is given, the bottle of perfume will cost _____.

a)

P1,000

b)

P9,000

c)

P8,000

d)

P5,000

36.

35 is what percent of 560?

a)

6.5%

b)

16%

c)

62%

d)

6.25%

37.

The literal coefficient of -7x3 m2 n is _____.

a)

6

b)

x

c)

x3 m2 n

d)

-7

38.

Total amount after adding 8% interest for 3 months of P6,000?

a)

P6,130

b)

P6,120

c)

P10,500

d)

P10,300

39.

The island of Luzon is estimated to be 100,000 square kilometers. In exponential form, it can be expressed as _____.

a)

10^6

b)

1x10^4

c)

10^5

d)

1x10^6

40.

Perform the operation and reduce to simplest form: 3x - (2y -4x) + 6y

a)

-2x - 3y

b)

-7x - 4y

c)

7x + 4y

d)

2x + 3y

41.

Bernadette's aquarium has length, width, and height of 10cm, 8cm, and 6cm respectively. Its volume is:

a)

72 cubic centimeters

b)

24 cubic cecntimeters

c)

240 cubic centimeters

d)

480 cubic centimeters

42.

The largest common factor of two or more numbers is called?

a)

Least common factor

b)

Greatest common factor

c)

Prime common factor

d)

Prime factor

43.

How many seconds are in a 24 hour day?

a)

84,600

b)

86,400

c)

89,500

d)

83,450

44.

The number of hours spent for review in Algebra, Chemistry, and English is in the ratio of 4:3:1. How many hours does each students spend for Chemistry in a 24-hour review package?

a)

3

b)

6

c)

9

d)

12

45.

Solve for the value of x to make thee proportion x:8=4:16 true.

a)

1

b)

2

c)

3

d)

4

46.

Simplify the following expression: x - (2y + 3x) -2y

a)

-2x - 4y

b)

-2x + 4y

c)

2x - 4y

d)

2x + 4y

47.

How many possible number of books, each 1.4 thick that can be put vertically in a shelf which is 64cm long?

a)

45.7

b)

46

c)

45

d)

64

48.

The sum of three consecutive integers is 96. The integers are

a)

33, 34, 35

b)

30, 32, 34

c)

31, 32, 33

d)

32, 33, 34

49.

If 2 apples cost P25.00, how many apples can be purchased for P100.00?

a)

2

b)

8

c)

1 1/2 dozen

d)

1/2 dozen

50.

He was described as the greatest "might-have been" in the history of mathematics.

a)

Blaise Pascal

b)

Jacob Bernoulli

c)

George Dantzig

d)

Charles Darwin

51.

The distance between two towns in a given map is 2 3/4cm. If 1/2 cm represents 6 km, what is the distance between the two towns?

a)

18 km

b)

33 km

c)

36 km

d)

42 km

52.

A quadrilateral with two pairs of parrallel sides

a)

Prime numbers

b)

Parallelogram

c)

Trapezoid

d)

Rectangle

53.

The prime factorization of 154 is _____.

a)

2, 7, and 11

b)

5, 7, and 11

c)

2, 5, and 7

d)

2, 2, 27, and 11

54.

The two consecutive even integers, the sum of which is 34 are _____.

a)

17 and 19

b)

20 and 21

c)

16 and 18

d)

20 and 22

55.

The perimeter of a square of area 144 square meters.

a)

48m

b)

40m

c)

60m

d)

24m

56.

A letter will be picked at random from the letters of the English alphabet. Find the probability that the letter is in the word DANCE or CANDY.

a)

5/26

b)

7/26

c)

3/13

d)

5/13

57.

Nelia takes 3/4 hour to dress and get ready to school. It takes 4/5 hour to reach the school. If her class starts promptly at 8:00 am, what is the latest time she can jump out of bed in order not to be late for school?

a)

6:42 am

b)

6:27 am

c)

6:57 am

d)

7:02

58.

x -3p, -2x -2p -5x --p, _____

a)

8x --p

b)

8x

c)

8x + p

d)

-8x

59.

Aa child has read 2/3 of a book. The read part of a book has 100 pages more than the unread. How many pages is the book?

a)

150

b)

200

c)

300

d)

350

60.

How many gallons of 30% solution of HCI acid should be added to 2 gallons of 15% solution of the same acid to make a 20% solution?

a)

2

b)

1

c)

1.5

d)

2.5

61.

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)

4.6 days

b)

10 days

c)

20 days

d)

14 days

62.

If a box contains 9 yellow, 5 black, and 14 green balls, find the probability of getting a green.

a)

.35

b)

.14

c)

.5

d)

.55

63.

A card is drawn from a deck of playing cards. What is the probability that the card is black?

a)

1/9

b)

1/6

c)

1/3

d)

1/2

64.

What will be the interest of P6,000.00 at 8% after 6 months?

a)

P100.00

b)

P120.00

c)

P240.00

d)

P60.00

65.

Factor: 6x2 - 13x - 5

a)

(2x - 1)(3x + 5)

b)

(3x + 1)(2x - 5)

c)

(6x - 1)(x + 5)

d)

(6x + 5)(x - 1)

66.

A 12L that was 85% vinegar was mixed with an 8L solution of pure water. Find the new concentration of vinegar.

a)

41

b)

42.5

c)

51

d)

52.5

67.

If a student has an average of 76% on his first two tests and an average of 85% on the next four tests, what is the final average on all six tests?

a)

82.0%

b)

80.5%

c)

82.5%

d)

81.3%

68.

If A = 3y + xy; B = 2x -y + 3xy; C = x +2xy: then A+B+C = _____.

a)

2y + 6xy + 3x

b)

3x +6xy - 2y

c)
  • - 2x + 6xy

d)

-3x - 6xy - 2y

69.

Simplify: 3x - (2y - 4x) + 6y

a)

-7x - 4y

b)

-7x + 4y

c)

7x + 4y

d)

7x - 4y

70.

What is the slope of the line 3x - y = 11

a)

-1/3

b)

1/3

c)

-3

d)

3

71.

In a right triangle, cos Θ = ⅗, what is the value of tan Θ?

a)

4/5

b)

7/5

c)

3/4

d)

4/3

72.

The measure of an angle is 25 more than its supplement. What is the measure of the larger angle?

a)

77.5 degrees

b)

102.5 degrees

c)

90 degrees

d)

110 degrees

73.

What is the value of x2 - 2xy +y2, if (x - y) = 57

a)

3,136

b)

3,364

c)

3,249

d)

3,481

74.

What is the slope of the line passing through (2, 5) and (-3, 9)?

a)

4/5

b)

5/4

c)

-4/5

d)

-5/4

75.

Determine the midpoint of the line segment joining the points (7, -3) and (-1, 6).

a)

2, 3/2

b)

2, - 3/2

c)

3, 3/2

d)

1, 5/2

76.

In a playground for kindergarten kids, 18 children are riding tricycles or bicycles. If there are 43 wheels in all, how many tricycles are there?

a)

8

b)

9

c)

7

d)

11

77.

The legs of one right triangle are 9 and 12, while those of another right triangle are 12 and 16. How much longer is the perimeter of the larger triangle than the perimeter of the smaller triangle?

a)

84

b)

7

c)

12

d)

14

78.

If (a + b)2 = 25 and (a - b)2 = 45, then a2 + b2 = ?

a)

35

b)

70

c)

625

d)

2025

79.

The sum of the digits is 10. If the digits are interchanged, the new number exceeds the original by 36. What is the original number?

a)

73

b)

46

c)

64

d)

37

80.

Three fair coins are tossed simultaneously. What is the probability off getting at least 2 tails?

a)

1/4

b)

1/3

c)

1/2

d)

1/8

81.

One side of a 45⁰ -45⁰ -90⁰ triangle measures x cm. What is the length of its hypotenuse?

a)

x√3cm

b)

X cm

c)

x√3/2 cm

d)

x√2 cm

82.

A company issues a 3 - letter security code to each of its employees. How many distinct code can be generated if each letter can be used only once for each code?

a)

75

b)

78

c)

15,600

d)

15,576

83.

A farmer divides his herd of n cows among his four sons so that one gets 1/2 the herd, a second son, one fourth, the third son, one fifth and the fourth sons, seven cows. Then n is:

a)

80

b)

100

c)

140

d)

180

84.

How many integers satisfies the inequality: -16 < (3n - 7) < 14

a)

10

b)

11

c)

8

d)

9

85.

What is the area of a triangular piece of land which has a base of 940m and a height of 128 m?

a)

60,160 sqm

b)

120,320 sqm

c)

80,120 sqm

d)

160,240 sqm

86.

how many meters of fencing is needed to enclose an 84-meter by 48-meter rectangular garden?

a)

132 m

b)

244 m

c)

264 m

d)

4,032 m2

87.

How many gallons of water will fill a fish tank that is 18 inches by 12 inches by 48 inches? There are 231 cubic inches per gallon. Round your answer to the nearest gallon.

a)

45

b)

38

c)

47

d)

40

88.

What is the name of a polygon if the sum of the interior angle measures 900?

a)

Pentagon

b)

Hexagon

c)

Heptagon

d)

Octagon

89.

Who is the father of Geometry?

a)

Hipparchus of Nicaea

b)

Euclid

c)

Leonhard Euler

d)

Isaac Newton

90.

The angles of a triangle are in the ratio of 1:3:5. What is the largest angle?

a)

20

b)

60

c)

80

d)

100

91.

What is the sum of the interior angles of a regular pentagon?

a)

720 degrees

b)

900 degrees

c)

180 degrees

d)

540 degrees

92.

What is a scalene triangle?

a)

A triangle with two equal sides and angles

b)

A triangle with no equal sides and angles

c)

A triangle with four equal sides and angles

d)

A triangle with three equal sides and angles

93.

How many unique diagonals can be drawn in a pentagon?

a)

5

b)

6

c)

7

d)

10

94.

A tin can has a radius of 6 cm and a height of 20 cm. What is the volume of milk that this container can hold?

a)

2000 cm3

b)

cm3

c)

2261 cm3

d)

3000 cm3

95.

What are the dimensions of a cube if its volume is 64?

a)

8x4x2

b)

4x4x4

c)

32x1x2

d)

4x3x6

96.

The hypotenuse of a right triangle is 25 ft. If one of the leg is 24 ft, what is the length of the other leg?

a)

6 ft

b)

5 ft

c)

7 ft

d)

11 ft

97.

The legs of one triangle are 9 and 12, while those of another right triangle are 12 and 16. How much longer is the perimeter of the larger triangle than the perimeter of the smaller triangle?

a)

84

b)

7

c)

12

d)

14

98.

One angle of a parallelogram is 35°, what are the measures of the three other angles?

a)

145°, 35°, 145°

b)

35°, 65°, 65°

c)

85°, 135°, 140°

d)

45°, 65°, 170°

99.

A square and an equilateral triangle have equal perimeter. If the side of the square is 3 units less than the side of the triangle, what is the area of the square?

a)

100 sq units

b)

81 sq units

c)

144 sq units

d)

64 sq units

100.

The vertex of an isosceles triangle is 20 degrees. What is the measure of one of the base angles?

a)

150 degrees

b)

75 degrees

c)

80 degrees

d)

90 degrees

101.

Which has the most volume?

a)

A box 10 meters high, 6 meters wide, and 14 meters long.

b)

A box 1 meters high, 60 meters wide, and 14 meters long.

c)

A box 9 meters high, 7 meters wide, and 14 meters long.

d)

A box 11 meters high, 8 meters wide, and 7 meters long.

102.

The perimeter of an isosceles triangle is 42 in. The two equal sides are each 3 times as long as the third side. What are the length of these sides?

a)

18, 21, 3

b)

14, 14, 14

c)

16, 16, 8

d)

18, 18, 6

103.

The edges of a rectangular solid have these measures: 1.5 ft by 1 1/2 ft by 3 inches. What is its volume in cubic inches?

a)

324

b)

225

c)

972

d)

45

104.

Find, in feet, the amount of framing needed to frame a picture 81/2 inches by 11 inches.

a)

3 1/4 ft

b)

2 1/4 ft

c)

4 1/4 ft

d)

5 1/4 ft

105.

Which of the following sets of number can be sides of a triangle?

a)

4, 5, 6

b)

6, 3, 2

c)

3, 3, 6

d)

2, 3, 1

106.

Who is the Father of Mathematics?

a)

Copernicus

b)

Aryabhata

c)

Carl Friedrich Gauss

d)

Archimedes

107.

What is the volume of a cube whose surface area is 54?

a)

54

b)

27

c)

81

d)

729

108.

A box is 12 inches wide, 16 inches long, and 6 inches high. How many square inches of paper would be needed to cover it on all sides?

a)

192 sq in

b)

900 sq in

c)

360 sq in

d)

720 sq in

109.

What is the length of the diagonal BD of the rectangle pictured below?

a)

50

b)

40

c)

45

d)

30

110.

Father of Indian Mathematics

a)

Copernicus

b)

Aryabhata

c)

Carl Friedrich Gauss

d)

Archimedes

111.

Heliocentric Theory of the Universe. Father Founder of Modern Astronomy.

a)

Copernicus

b)

Aryabhata

c)

Carl Friedrich Gauss

d)

Archimedes

112.

Prince of Mathematics

a)

Copernicus

b)

Aryabhata

c)

Carl Friedrich Gauss

d)

Archimedes

113.

Which statement is true?

a)

√5 is a rational number

b)

0 is a positive number

c)

√3 is a real number

114.

The thousandths digit of the number 1,234.5678 is _____

a)

1

b)

7

c)

8

d)

5

115.

(4)(-6) + (12 x 3) = _____

a)

10

b)

12

c)

14

d)

15

116.

The greatest common divisor of 91, 39, and 78 is _____.

a)

24

b)

13

c)

39

d)

91

117.

Which is a proportion?

a)

5:4 = 15:12

b)

8:3 = 16:9

c)

4:5 = 12:10

d)

1/2:7 = 5:2

118.

Among the following which is NOT a prime number?

a)

61

b)

31

c)

41

d)

51

119.

How many prime numbers are there from 1 to 100?

a)

23

b)

24

c)

25

d)

26

120.

What are the prime factors of 273?

a)

3 x 7 x 13

b)

3 x 17 x 11

c)

3 x 6 x 9 x 11

d)

3 x 3 x 7 x 7

121.

What is the least common multiple of 24 and 80?

a)

480

b)

80

c)

240

d)

360

122.

The property of real number which describes (5+6) + 3 = 5 + (3+6)?

a)

Commutative

b)

Associative

c)

Distributive

d)

Reflexive

123.

After receiving a 30% discount, Darryl paid P210.00 for an item what is the regular price of the item?

a)

300

b)

350

c)

380

d)

400

124.

What is the value of 3.5 kilograms in grams?

a)

35

b)

350

c)

3,500

d)

35,000

125.

What do you call a triangle with three equal sides?

a)

Scalene

b)

Equilateral

c)

Isosceles

d)

Right

126.

How many pieces of 7 and 1/2 inches wire can be cut from 31 and 1/4 ft roll of wire?

a)

5

b)

10

c)

25

d)

50

127.

Six pumps can fill a tank in 28 minutes. How long will 4 pumps of the same kind can fill a tank? (I checked this with META AI)

a)

42

b)

18

c)

60

d)

20

128.

What is the missing term in the series? 2, 5, 11, 23, 47, and _____

a)

115

b)

95

c)

105

d)

12

129.

A ball is drawn at random from a box containing 3 red balls, 4 white balls, 5 blue balls. What is the probability that it is not blue?

a)

1/4

b)

1/2

c)

7/12

d)

1

130.

If the ratio of women to men in a meeting is 4 to 1, what percent of the persons in the meeting are men?

a)

80%

b)

20%

c)

33 1/3%

d)

25%

131.

Mary bought 5 kilos of rice worth P200 and another 4 kilos of rice worth P144, what is the average price of rice per kilo?

a)

172.0

b)

172.11

c)

175.0

d)

175.11

132.

What is the average of 1/2, 1/3, and 1/4?

a)

13/12

b)

13/27

c)

13/29

d)

13/36

133.

72 is 3/4 of what number?

a)

76

b)

84

c)

86

d)

96

134.

Joel repacks a 60 kg sack of sugar into small packs of 750 grams? How many small packs can be made?

a)

90

b)

45

c)

55

d)

80

135.

The product of 2 numbers is 36, and their ratio is 1:4. Which of these is the smaller number?

a)

9

b)

12

c)

3

d)

2

136.

A square has an area of 400 sq cm. What is its perimeter?

a)

80 cm

b)

40 cm

c)

20 cm

d)

100 cm

137.

If 8 - √36 + 2 = 4, what is the value of x?

a)

36

b)

14

c)

48

d)

2