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LET General Education Mathematics Quiz

Total questions: 104

Worksheet time: 52mins

Name
Class
Date
1.

What is the Least Common Multiple (LCM) of 12, 15, and 20?

a)

30

b)

60

c)

90

d)

120

2.

Which of the following is a prime number?

a)

51

b)

81

c)

91

d)

97

3.

What is the value of 2³×3²?

a)

36

b)

54

c)

72

d)

108

4.

Express 0.125 as a fraction in lowest terms.

a)

1/4

b)

1/6

c)

1/8

d)

1/12

5.

If a number is divisible by both 4 and 6, it must also be divisible by:

a)

8

b)

12

c)

18

d)

24

6.

Solve for x: 3x−5=16.

a)

3

b)

5

c)

7

d)

9

7.

What is the slope of the line y=−2x+5?

a)

2

b)

-2

c)

5

d)

-5

8.

The sum of two numbers is 25 and their difference is 7. What is the larger number?

a)

15

b)

16

c)

18

d)

19

9.

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

10.

If f(x)=x²−3x+2, what is f(4)?

a)

4

b)

6

c)

8

d)

10

11.

What is the area of a circle with a radius of 7 cm? (Use π≈22/7)

a)

44 cm²

b)

154 cm²

c)

196 cm²

d)

616 cm²

12.

An isosceles triangle has two angles measuring 50° each. What is the measure of the third angle?

a)

50°

b)

80°

c)

90°

d)

100°

13.

How many centimeters are there in 2.5 meters?

a)

25

b)

250

c)

2,500

d)

0.25

14.

The volume of a cube is 64 cubic inches. What is the length of one side?

a)

4 inches

b)

8 inches

c)

16 inches

d)

32 inches

15.

What do you call an angle that measures exactly 90 degrees?

a)

Acute

b)

Obtuse

c)

Right

d)

Reflex

16.

What is the median of the following set: 12, 15, 8, 20, 10?

a)

8

b)

10

c)

12

d)

15

17.

A bag contains 3 red balls and 7 blue balls. What is the probability of picking a red ball?

a)

3/7

b)

7/10

c)

3/10

d)

1/3

18.

What is the mode of the data set: 5, 8, 5, 10, 12, 8, 8, 15?

a)

5

b)

8

c)

10

d)

15

19.

The average of four numbers is 20. If three of the numbers are 15, 25, and 10, what is the fourth number?

a)

20

b)

30

c)

40

d)

50

20.

A shirt originally priced at ₱500 is sold at a 20% discount. What is the sale price?

a)

₱100

b)

₱400

c)

₱450

d)

₱480

21.

If ₱10,000 is invested at a simple interest rate of 5% per year, how much interest is earned after 2 years?

a)

₱500

b)

₱1,000

c)

₱1,500

d)

₱2,000

22.

If 5 men can build a wall in 12 days, how many men are needed to build the same wall in 4 days?

a)

10

b)

15

c)

20

d)

25

23.

The ratio of boys to girls in a class is 3:5. If there are 40 students in total, how many are girls?

a)

15

b)

20

c)

25

d)

30

24.

A map has a scale of 1 cm : 50 km. If two cities are 3.5 cm apart on the map, what is the actual distance?

a)

150 km

b)

175 km

c)

200 km

d)

225 km

25.

If y varies directly as x, and y=12 when x=4, what is y when x=7?

a)

18

b)

21

c)

24

d)

28

26.

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

a)

360°

b)

540°

c)

720°

d)

900°

27.

In a right triangle, if the hypotenuse is 10 cm and one leg is 6 cm, what is the length of the other leg?

a)

4 cm

b)

7 cm

c)

8 cm

d)

9 cm

28.

What is the supplement of an angle measuring 75°?

a)

15°

b)

25°

c)

105°

d)

115°

29.

The area of a rectangle is 48 cm². If the width is 6 cm, what is the perimeter?

a)

8 cm

b)

14 cm

c)

28 cm

d)

32 cm

30.

The sum of the interior angles of a regular polygon is 1440. How many sides does the polygon have?

a)

8

b)

10

c)

12

d)

14

31.

What is the next number in the sequence: 2, 6, 12, 20, 30, ___?

a)

40

b)

42

c)

44

d)

46

32.

Find the GCF (Greatest Common Factor) of 24, 36, and 48.

a)

6

b)

8

c)

12

d)

24

33.

What is 35% of 80?

a)

24

b)

26

c)

28

d)
34.

Find the GCF (Greatest Common Factor) of 24, 36, and 48.

a)

6

b)

8

c)

12

d)

24

35.

What is 35% of 80?

a)

24

b)

26

c)

28

d)

30

36.

A prime number has exactly how many factors?

a)

0

b)

1

c)

2

d)

Infinite

37.

Factor the expression x^2 - 9.

a)

(x-3)(x-3)

b)

(x+3)(x-3)

c)

(x+9)(x-1)

d)

x(x-9)

38.

What is the mode of the following set of data: 12, 15, 12, 18, 15, 12, 14, 15?

a)

12 and 15

b)

12

c)

14

d)

15

39.

If 3x + 2y = 10 and x = 2, what is the value of y?

a)

1

b)

2

c)

3

d)

4

40.

A box contains 5 red balls, 3 blue balls, and 2 green balls. If you pick a ball at random, what is the probability that it is not blue?

a)

2/10

b)

3/10

c)

7/10

d)

5/10

41.

Which of the following is an example of a null set?

a)

{0}

b)

{Set of even prime numbers}

c)

{Set of months with 32 days}

d)

{1}

42.

A car travels 180 km in 3 hours. What is its average speed?

a)

50 km/h

b)

60 km/h

c)

70 km/h

d)

80 km/h

43.

A vendor bought 12 apples for ₱120 and sold them for ₱15 each. How much was the total profit?

a)

₱30

b)

₱60

c)

₱150

d)

₱180

44.

How many degrees are in a semi-circle?

a)

90°

b)

180°

c)

270°

d)

360°

45.

Peter is 5 years older than Quagmire. In 10 years, the sum of their ages will be 45. How old is Peter now?

a)

10

b)

15

c)

20

d)

25

46.

Pipe A can fill a tank in 4 hours, and Pipe B can fill it in 6 hours. If both pipes are open, how long will it take to fill the tank?

a)

2.4 hours

b)

5 hours

c)

10 hours

d)

12 hours

47.

Three years ago, the sum of the ages of a mother and daughter was 40. How old will they be together in 5 years?

a)

45

b)

48

c)

54

d)

56

48.

What is the midpoint of the segment connecting points (2, 4) and (8, 10)?

a)

(3, 3)

b)

(5, 7)

c)

(6, 6)

d)

(10, 14)

49.

Which quadrant is the point (-3, -5) located in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

50.

What is the distance between the points (0, 0) and (3, 4)?

a)

5

b)

7

c)

12

d)

25

51.

What is the y-intercept of the line 2x + y = 8?

a)

2

b)

4

c)

8

d)

-2

52.

An item is marked up by 40% from its cost of ₱1,200. What is the selling price?

a)

₱1,440

b)

₱1,600

c)

₱1,680

d)

₱1,800

53.

A student got 45 out of 60 in a math test. What is his percentage score?

a)

70%

b)

75%

c)

80%

d)

85%

54.

If a laptop costs ₱25,000 inclusive of a 12% VAT, what was the price before tax? (Round to nearest whole number)

a)

₱22,000

b)

₱22,321

c)

₱23,000

d)

₱23,500

55.

If you roll a fair six-sided die, what is the probability of rolling an even number?

a)

1/6

b)

1/3

c)

1/2

d)

2/3

56.

In a normal distribution (bell curve), what percentage of data falls within one standard deviation of the mean?

a)

50%

b)

68%

c)

95%

d)

99.7%

57.

What is the range of the following set: 15, 22, 14, 30, 11, 28?

a)

11

b)

15

c)

19

d)

30

58.

What is the sum of the first 10 positive integers?

a)

45

b)

50

c)

55

d)

60

59.

Julia Santos works as a saleswoman. She is paid a salary of P3,000.00 a week plus 2% commission on sales over P4,000.00. Find her gross pay for a week in which her sales are P9,500.00.

a)

P3,110.00

b)

P3,250.00

c)

P3,500.00

d)

P3,210.00

60.

If a car travels at a speed of 60 kph, how long will it take to travel 150 kilometers?

a)

90 minutes

b)

2 hours

c)

2.5 hours

d)

3 hours

61.

The sum of three consecutive integers is 84. What is the smallest of these integers?

a)

27

b)

28

c)

29

d)

30

62.

How many degrees are in the sum of the exterior angles of any convex polygon?

a)

180°

b)

270°

c)

360°

d)

540°

63.

A rectangle has a length of 10m and a diagonal of 26m. What is its width?

a)

16m

b)

20m

c)

24m

d)

30m

64.

A clock strikes 4 o’clock. What is the angle formed by the hands of the clock?

a)

90°

b)

120°

c)

150°

d)

180°

65.

If 3 notebooks cost ₱105, how much will 10 notebooks cost?

a)

₱300

b)

₱315

c)

₱350

d)

₱400

66.

The ages of two brothers are in the ratio of 3:5. If the sum of their ages is 40, how old is the younger brother?

a)

12

b)

15

c)

20

d)

25

67.

wo brothers are in the ratio of 3:5. If the sum of their ages is 40, how old is the younger brother?

a)

12

b)

25

c)

20

d)

15

68.

If you flip a fair coin and roll a standard six-sided die, what is the probability of getting heads and an even number?

a)

1/4

b)

1/3

c)

1/2

d)

1/6

69.

Simplify the expression 3(x+5)−2(x−1).

a)

x+17

b)

x+14

c)

x+16

d)

x+13

70.

What is the value of any non-zero number raised to the power of zero (x^0)?

a)

0

b)

1

c)

x

d)

Undefined

71.

What is the Roman Numeral for 494?

a)

CDXCIV

b)

XDIC

c)

CCCCXCIV

d)

LDIV

72.

Convert the binary number 1011_2 to decimal.

a)

9

b)

10

c)

11

d)

13

73.

Which of the following is a perfect square between 100 and 150?

a)

111

b)

121

c)

131

d)

141

74.

How many square inches are in 2 square yard?

a)

900

b)

144

c)

1296

d)

2,592

75.

How many diagonals can be drawn from one vertex of a decagon (10-sided polygon)?

a)

7

b)

8

c)

9

d)

10

76.

What is the measure of each interior angle of a regular hexagon?

a)

90°

b)

108°

c)

120°

d)

135°

77.

Which of the following has the largest value?

a)

85

b)

39

c)

65

d)

94

78.

The Least Common Multiple (LCM) of 12 and 18 is:

a)

72

b)

6

c)

216

d)

36

79.

Nelia takes 3/4 hour to dress and get ready for 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 am

80.

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

a)

– 5x – 2y + 5x

b)

5x – 2y – 5z️

c)

5x + 2y + 5x

d)

– 5x – 2y – 5z

81.

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

82.

Which of these has the longest perimeter?

a)

A square 21 cm on a side

b)

A rectangle 19 cm long and 24 cm wide

c)

An equilateral triangle whose side is 28 cm

d)

A right triangle whose two legs are 24 and 32 cm

83.

A container holds 4 liters of water. How many milliliters is this?

a)

40 ml

b)

400 ml

c)

4,000 ml

d)

40,000 ml

84.

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)

85.

In a set of scores: 5, 5, 10, 15, 20. Which is greater, the mean or the median?

a)

Mean

b)

Median

c)

They are equal

d)

Cannot be determined

86.

If a card is drawn from a standard deck of 52 cards, what is the probability it is a King?

a)

1/4

b)

1/13

c)

1/26

d)

1/52

87.

How many ways can 3 people be seated in a row of 3 chairs?

a)

3

b)

6

c)

9

d)

12

88.

Which property of real numbers is shown by a + (b + c) = (a + b) + c?

a)

Commutative

b)

Associative

c)

Distributive

d)

Identity

89.

What is the remainder when 125 is divided by 8?

a)

1

b)

3

c)

5

d)

7

90.

Solve: 2x - 5 = 3x + 1.

a)

-6

b)

6

c)

-4

d)

4

91.

25% of what number is 50?

a)

12.5

b)

100

c)

200

d)

250

92.

Value of √144 + √81?

a)

15

b)

21

c)

25

d)

19

93.

A polygon with 8 sides is an...?

a)

Hexagon

b)

Heptagon

c)

Octagon

d)

Nonagon

94.

If x = -2, what is x^3?

a)

8

b)

-8

c)

4

d)

-4

95.

The set of integers is denoted by which letter?

a)

N

b)

Q

c)

Z

d)

R

96.

What is the reciprocal of 0.25?

a)

2

b)

4

c)

0.5

d)

5

97.

How many prime numbers are there between 1 and 10?

a)

3

b)

4

c)

5

d)

6

98.

Area of a triangle with base 10 and height 8?

a)

80

b)

40

c)

20

d)

18

99.

Solve for y: y/4 = 12.

a)

3

b)

8

c)

16

d)

48

100.

Sum of 1/2 + 1/4?

a)

2/6

b)

3/4

c)

2/4

d)

1/8

101.

What is the value of π to two decimal places?

a)

3.12

b)

3.14

c)

3.16

d)

3.41

102.

A dozen is 12; a gross is...?

a)

24

b)

120

c)

144

d)

200

103.

Which is the only even prime number?

a)

0

b)

2

c)

4

d)

6

104.

Solve: 4(x - 3) = 20.

a)

8

b)

7

c)

5

d)

11