BASIC MATHEMATICS SOLVED MCQs for SPSC, STS, FPSC, NTS, BPSC, PPSC, KPPSC & OTHER EXAMS

1. What is the average of the first 150 natural numbers?

(a) 70      

(b) 70.5       

(c) 75       

(d) 75.5

 

2. What is the value of x in the equation 3x – 15 – 6 = 0? 

(a) 7           

(b) 8             

(c) 9                 

(d) –9

 

3.  |–4| + |4| – 4 + 4 =?

(a) 0                       

(b) 2                       

(c) 4                       

(d) 8

 

4. What is the discount rate if a dress with the actual price of 4000 was sold for 3200?

(a) 14%        

(b) 16%       

(c) 18%      

(d) 20%

 

5. What is the average of the numbers: 0, 0, 4, 10, 5, and 5?

(a) 2      

(b) 3         

(c) 4              

(d) 5

 

6. 0.003 × 0.02 =?

(a) 0.06    

(b) 0.006    

(c) 0.0006   

(d) 0.00006

 

7. What is the value of x in the equation: 0.2x − 0.03 = 0.4 × 0.05?

(a) 0.20   

(b) 0.02    

 (c) 0.25       

(d) 0.025

 

8. If 75 percent of a number is y. And, 80 percent

of y is 60; what is the number?

(a) 100    

(b) 110   

(c) 120      

(d) 130

 

9. What is the average of the numbers: 2, 5, 0, 10, 10, 12, 8, and 9?

(a) 6     

(b) 7       

(c) 8           

(d) 9

 

10. The cost of an article is Rs.160. What should be the selling price in rupees to obtain a profit of 15 percent?

(a) 180     

(b) 182       

(c) 184      

(d) 186

 

11. A person preparing for the Olympics Games ran 9 km in 1 hour and 20 minutes, and then 12 km in 1 hour and 40 minutes. What is the average speed in km/hr?

(a) 4 km/hr  

(b) 5 km/hr 

(c) 6 km/hr  

(d) 7 km/hr

 

12. What is the volume of a right circular cylinder in cm² having a radius of 2cm and a height of 7cm?

(a) 86 cm²  

(b) 88 cm²  

(c) 90 cm² 

(d) 92 cm²

 

13. In a class of 60 students the ratio of boys to girls is 3:2. How many girls are there in the class?

(a) 21     

(b) 22       

(c) 23          

(d) 24

 

14. What is the sum of the numbers: 1, 2, 3, 4… 99, 100?

(a) 5000    

(b) 5050   

(c) 5100    

(d) 5150

15. What is the sum of the sequence: 2+4+6+ ….. +98+100 =?

(a) 2450    

(b) 2500    

(c) 2550       

(d) 2600

 

16.  1, 2, 5, 14, __________?

(a) 38     

(b) 39       

(c) 40       

(d) 41

 

17. What is the sum of the first 12 numbers of the series: 2, 6, 10, 14…?

(a) 260    

(b) 268           

(c) 280        

(d) 288

 

18. The value of the function is?
(a) 1       

(b) –1       

(c) 2          

(d) –2

 

19. What is the number, if 40% of the number is 380?

(a) 930     

(b) 935         

(c) 940      

(d) 950

 

20. What is the 81_st number in the sequence: 1, 4, 7, 10… a₈₁ =?

(a) 237    

(b) 241    

(c) 245    

(d) 249

 

21. What comes next in the sequence: 1, 1, 2, 6, 24, ____?

(a) 110  

(b) 120     

(c) 130     

(d) 140

 

22. The sum of three consecutive even numbers is 78. What is the most significant number?

(a) 22   

(b) 24         

(c) 26    

(d) 28

23. If the sum of two numbers is 16 and their product is 63. Then the larger number is;

(a) 8  

(b) 9         

(c) 10        

(d) 11

24. If the cost of 12 eggs is 240. What will be the cost of 3 eggs?

(a) 40   

(b) 50       

(c) 60    

(d) 70

 

25. In the total investment of 500000, B’s share is 20%. While A’s share is 40% of the B’s. What is the share of A?

(a) 32,000  

(b) 34,000  

(c) 36,000  

(d) 40,000

 

26. How many feet there are in 5 meters? If 1 meter = 3.281 feet.

(a) 15.505  

(b) 15.905   

(c) 16.405 

 (d) 16.805

 

27. 0.003 × 0.0004 =?

(a) 0.0012               

(b) 0.00012             

(c) 0.000012           

(d) 0.0000012

 

28. What is the average (Arithmetic Mean) of the numbers: 2, 4, 5, 0, 9, 10, and 12?

(a) 5         

(b) 6          

(c) 7       

(d) 8

 

29. (2²)³ x (2³)² = ?

(a) 4096                  

(b) 4046                  

(c) 3096                  

(d) 3046

 

30. 2 + 2 − 2 × 2 ÷ 2 =?

(a) 0                       

(b) 1                       

(c) 2                       

(d) 4

 

31. |2| + |–2| + (2)2 + (–2)2 =?

(a) 6                       

(b) 8                       

(c) 10                     

(d) 12

 

32. What comes next in the sequence: 2, 4, 10, 28,...

(a) 64                     

(b) 70                     

(c) 76                     

(d) 82

 

33. What is the value of x in the equation 2x + 5 = 17 

A) 5

B) 6

C) 7

D) 8

 

34. What is the value of sin(45°) + cos(45°)?

A) 1/2√2

B) √2/2

C) 1

D) 2

 

35. What is the slope of the line passing through the points (4, 6) and (2, 8)?

A) -1

B) 1

C) -2

D) 2

 

36. What is the value of log10 100?

A) 1

B) 2

C) 10

D) 100

 

37. What is the value of (3 + 4i)(3 - 4i)?

A) 7

B) 16

C) 25

D) 48

 

38. If a + b = 6 and a - b = 2, what is the value of a?

a. 3

b. 4

c. 5

d. 6

 

39. What is the value of log2(8)?

a. 2

b. 3

c. 4

d. 5

 

40. If A completes a particular work in 8 days and B completes the same work in 24 days. How many days will it take if they work together?

(a) 4                       

(b) 5                       

(c) 6                       

(d) 7

 

41. What comes next in the sequence: 1, 3, 11, 43, ____?

(a) 161                   

(b) 171                   

(c) 181                    

(d) 191

 

42. What is the distance traveled by a car which traveled at a speed of 80 km/hr for 3 hours and 30 minutes?

(a) 275 km              

(b) 280 km              

(c) 285 km              

(d) 290 km

 

43. In a class of 40 students 20% are girls. How many boys are there in the class?

(a) 26                     

(b) 28                     

(c) 30                     

(d) 32

 

44. If 6 men take 9 days to complete a work, how many men can complete the work in 3 days?

a. 2 men                 

b. 12 men               

c. 9 men                 

d. 18 men

 

45. If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?

a. 1                        

b. 5                        

c. 10                       

d. 25

 

46. Today is Amina’s birthday. After one year, she will become two times as she was ten years ago. What is the current age of Khadija?

a. 19                       

b. 20                       

c. 21                       

d. 22

 

47. What is the prime factorization of 84?

a. 42 × 2                 

b. 2 × 2 × 4 × 6       

c. 2 × 7 × 6             

d. 2 × 2 × 3 × 7

 

48. Mr. Irfan plowed 6 acres in 1 hour. At this rate, how long will it take him to plow 21 acres?

a. 3 hours               

b. 4 hours               

c. 3.5 hours           

d. 4.75 hours

 

49. Which expression has an answer of 18?

a. 2 × 5 + 4             

b. 2 × (4 + 5)                    

c. 5 × (2 + 4)           

d. 4 × 2 + 5

 

50. Salman traveled 114 miles in 2 hours. If she keeps going at the same rate, how long will it take her to go the remaining 285 miles of her trip?

a. 5 hours              

b. 3 hours               

c. 7 hours                

d. 4 hours

 

51. The area of a square is 64 cm². What is the length of one side of the square?

a. 8 cm                   

b. 16 cm                 

c. 32 cm                 

d. 24 cm

 

52. Ayesha measured the width of her dining room in inches. It is 150 inches. How many feet wide is her dining room?

a. 12 feet                

b. 9 feet                  

c. 12.5 feet             

d. 10.5 feet

 

53. Ibrahim has 5 pairs of pants and 8 shirts. How many different combinations can she make with these items?

a. 13                      

 b. 24                       

c. 40                       

d. 21

 

54. Which number in the answer choices below is not equivalent to the other numbers?

a. 0.6                      

b. 60%                    

c. 3/5                      

d. 6%

 

55. What is the greatest common factor of 24 and 64?

a. 8                        

b. 4                        

c. 12                       

d. 36

 

56. Basit’s English test scores are 56, 93, 72, 89, and 87. What is the median of her scores?

a. 72                       

b. 87                      

c. 56                       

d. 85.6

 

57. Which of the following is an irrational number? 

a. 0.333333…         

b. 1/ 2                     

c. 10.489                

d. 0.101101110

 

58. Which of the following terms does not describe the number 9?

a. prime                 

b. integer                

c. real number         

d. whole number

 

59. A man spends Rs. 33000. This was 75% of his monthly income. What is his monthly income? 

a. 40000                 

b. 44000                

 c. 50000                 

d. 54000

 

 

60. The average of the first 10 even numbers is______?

a. 18          

b. 22         

c. 9          

d. 11

 

61. If x and y are positive integers and x² - y² = 48, what is the value of x?

A) 6

B) 7

C) 8

D) 9

E) 10

 

62. If a and b are integers such that a>b>0, which of the following statements must be true?

(I. a² > b²   II. a³ > b³   III. a² + b² > ab)

A) I only

B) II only

C) III only

D) I and III only

 

63. A rectangular garden is 10 meters wide and 16 meters long. A path of uniform width is to be constructed around the garden, such that the total area of the garden and the way is 320 square meters. What is the width of the way, in meters?

A) 1

B) 2

C) 3

D) 4

 

64. Which of the following is the empty set?

a) {0}

b) {1, 2, 3}

c) {}

d) {∅}

 

65. Which of the following sets is a subset of {1, 2, 3}?

a) {1, 2, 4}

b) {4, 5, 6}

c) {2, 3}

d) {1, 2, 3, 4}

 

66. Which of the following statements about sets is true?

a) The order of elements in a set is important.

b) A set can have duplicate elements.

c) The intersection of two sets always results in a smaller set.

d) The union of two sets always results in a larger set.

67. Which of the following sets is equivalent to {2, 4, 6}?

a) {x | x is an even integer and x < 7}

b) {x | x is an even integer and x > 0}

c) {x | x is a multiple of 2}

d) {x | x is a factor of 12}

 

68. Which of the following operations is associative for sets?

a) Intersection

b) Union

c) Subtraction

d) Symmetric difference

 

69. What is the fraction form of the decimal 0.25?

A. 1/4

B. 1/3

C. 3/4

D. 2/5

 

70. What is the simplest form of the fraction 12/15?

A. 4/5

B. 2/3

C. 3/4

D. 5/6

 

71. Which of the following fractions is equivalent to 3/8?

A. 6/16

B. 4/10

C. 9/16

D. 2/5

 

72. What is the result of adding 1/3 and 1/4?

A. 7/12

B. 5/12

C. 1/7

D. 7/10

 

73. What is the result of multiplying 2/3 by 3/4?

A. 1/2

B. 3/7

C. 1/3

D. 1/4

 

74. What is the result of subtracting 2/5 from 1/2?

A. 1/10

B. 3/10

C. 3/5

D. 7/10

 

75. What is the result of dividing 5/6 by 2/3?

a. 5/12

b. 3/4

c. 5/4

d. 2/5

 

76. Which of the following fractions is greater than 1/2?

A. 2/5

B. 3/8

C. 7/15

D. 5/9

 

77. What is the mixed number form of the fraction 11/4?

A. 2 3/4

B. 2 1/4

C. 3 1/4

D. 3 3/4

 

78. What is the result of simplifying the fraction 16/24 to its lowest terms?

A. 2/3

B. 3/4

C. 4/5

D. 5/6

 

79. Which of the following is not an algebraic expression?

a) 2x + 3y

b) 4xy + 5

c) √x + 1

d) 3x² - 2x + 1

 

80. Simplify the expression: (3x + 2y)²

a) 9x² + 4y²

b) 9x² + 12xy + 4y²

c) 9x² + 6xy + 4y²

d) 9x² - 12xy + 4y²

 

81. Solve for x: 2(x + 3) = 10

a) x = 3

b) x = 2

c) x = 5

d) x = 1

 

82. Factorize the expression: x² + 6x + 9

a) (x + 3)(x + 3)

b) (x + 3)(x - 3)

c) (x - 3)(x - 3)

d) (x - 3)(x + 3)

 

83. Evaluate the expression for x = 4: 2x² + 3x - 1

a) 35

b) 31

c) 27

d) 25

 

84. Which of the following is a polynomial?

a) x³ - 2x² + x - 1

b) x(^1/2) + 3x - 2

c) 2/x + 3

d) sin(x) + cos(x)

 

85. What is the degree of the polynomial f(x) = 3x⁵ + 2x³ - 7x + 1?

a) 3

b) 5

c) 6

d) 7

 

86. Which of the following is a factor of the polynomial f(x) = x³ - 6x² + 11x - 6?

a) x + 2

b) x - 2

c) x - 1

d) x + 1

 

87. Which of the following is not a type of triangle?

a) Isosceles triangle

b) Equilateral triangle

c) Scalene triangle

d) Quadrilateral

 

88. In a right-angled triangle, the side opposite to the right angle is called:

a) Base

b) Hypotenuse

c) Perpendicular

d) None of the above

 

89. The sum of all angles in a triangle is:

a) 180 degrees

b) 90 degrees

c) 360 degrees

d) 270 degrees

 

90. The length of the radius of a circle is called:

a) Diameter

b) Circumference

c) Chord

d) Radius

 

91. In a circle, if a line segment joining two points on the circle passes through the center, it is called: 

a) Diameter

b) Radius

c) Chord

d) Tangent

 

92. The number of sides in a hexagon is:

a) 4

b) 5

c) 6

d) 7

 

93. A quadrilateral with two pairs of parallel sides is called a:

a) Square

b) Rectangle

c) Trapezium

d) Rhombus

 

94. If two angles in a triangle are equal, the triangle is:

a) Acute-angled

b) Obtuse-angled

c) Right-angled

d) Isosceles

 

95. The area of a circle is given by the formula:

a) A = πr

b) A = 2πr

c) A = πr²

d) A = 2πr²

 

96. The Pythagorean Theorem relates to the sides of a:

a) Triangle

b) Rectangle

c) Circle

d) Parallelogram

 

97. What is the value of sin 60°?

a. 1/2

b. √3/2

c. 1

d. 2

 

98. What is the value of cos 45°?

a. 1/2

b. √2/2

c. 1

d. 2

 

99. What is the value of tan 30°?

a. 1/2

b. √3/2

c. 1

d. 2

 

100. What is the value of sin²θ + cos²θ?

a. 1

b. 0

c. √2

d. 2

 

101. What is the period of the function y = sin x?

a. 2π

b. π/2

c. π

d. 4π

 

102. What is the range of the function y = cos x?

a. [−1,1]

b. [0,1]

c. [−π/2,π/2]

d. [−∞,∞]

 

103. What is the amplitude of the function y = 2 sin x?

a. 2

b. 1/2

c. π/2

d. π

 

104. What is the period of the function y = 3 cos 2x?

a. π/2

b. π

c. 2π

d. 4π

 

105. What is the value of sin(−90°)? 

a. 1

b. 0

c. −1

d. undefined

 

106. What is the value of tan 45°?

a. 1

b. 0

c. −1

d. undefined

 

107. If the ratio of boys to girls in a class is 3:2 and there are 25 students in the class, how many boys are there? 

a. 9

b. 15

c. 18

d. 20

 

108. A pen is sold at a discount of 20%. If the original price of the pen was 40, what is the discounted price?

a. 30

b. 32

c. 36

d. 38

 

109. A mixture of water and milk is in the ratio 2:3. If the total amount of mixture is 60 liters, how much water is in the mixture?

a. 20 liters

b. 24 liters

c. 30 liters

d. 36 liters

 

110. A recipe for a cake requires 2 cups of flour for every 3 cups of sugar. If you want to use 6 cups of sugar, how many cups of flour should you use? 

a. 2 cups

b. 3 cups

c. 4 cups

d. 5 cups

 

111. The average height of 5 students is 160 cm. If a sixth student with a height of 172 cm joins the group, what is the new average height?

a. 160 cm

b. 162 cm

c. 164 cm

d. 166 cm

 

112. A cake originally priced at 380 is on sale for 25% off. What is the sale price of the cake?

a. 255

b. 265

c. 275

d. 285

 

113. The length of a rectangle is twice its width. If the area of the rectangle is 120 square meters, what is the length of the rectangle?

a. 8 meters

b. 10 meters

c. 12 meters

d. 16 meters

 

114. If a + b = 7 and a − b = 3, what is the value of a?

a) 5

b) 7

c) 3

d) 2

 

115. What is the value of x in the equation 5x − 7 = 23?

a) 6

b) 5

c) 4

d) 3

 

116. What is the solution to the equation 2x + 3 = 5x − 7?

a) x = 5

b) x = 6

c) x = 4

d) x = 3

 

117. What is the value of y in the equation 3y + 4 = 7y − 1?

a) 1

b) 2

c) 3

d) 4

 

118. What is the value of z in the equation z/2 + 3 = 7?

a) 4

b) 6

c) 8

d) 10

 

119. The mean of 5, 10, and 15 is:

a) 10

b) 12

c) 15

d) 20

 

120. What is the mode of the following set of numbers 5, 7, 8, 7, 9, 7, 10?

a) 5

b) 7

c) 8

d) 10

121. What will be the median of the following set of numbers 2, 4, 6, 8, 10?

a) 2

b) 4

c) 6

d) 8

 

122. If the mean of five numbers is 12 and four of the numbers are 10, 12, 15, and 17, what is the fifth number?

a) 5

b) 8

c) 12

d) 20

 

123. If a set of numbers has no mode, what does that mean?

a) All the numbers are the same.

b) There are no numbers in the set.

c) All the numbers in the set are different.

d) There are two or more numbers that appear the same number of times.

 

124. What is the logarithm of 1000 to the base 10?

a) 2

b) 3

c) 4

d) 5

 

125. What is the logarithm of 1 to any base?

a) 0

b) 1

c) undefined

d) infinity

 

126. If log(base a) b = c, what is a^c?

a) b

b) c

c) ac

d) a/b

 

127. What is the value of log(base 2) 8 + log(base 2) 16?

a) 6

b) 4

c) 3

d) 2

 

128. What is the logarithm of 0.001 to the base 10?

a) -1

b) -2

c) -3

d) -4

129. What is the decimal equivalent of the binary number 10111?

a) 23

b) 25

c) 27

d) 29

 

130. How many bits are needed to represent the decimal number 1024 in binary?

a) 9 bits

b) 10 bits

c) 11 bits

d) 12 bits

 

131. What is the binary representation of the decimal number 49?

a) 110000

b) 110001

c) 110010

d) 110011

 

132. What is the decimal equivalent of the binary number 10011101?

a) 123

b) 125

c) 141

d) 157

 

133. What is the binary representation of the decimal number 17? 

a) 10001

b) 10101

c) 11001

d) 11101

 

134. Which of the following numbers is a rational number?

a) √2

b) √3

c) 1/3

d) π

 

135. What is the decimal equivalent of the rational number 4/5?

a) 0.4

b) 0.8

c) 0.5

d) 0.6

 

136. Which of the following is not a rational number?

a) 0.25

b) 0.33333...

c) 3.14

d) 1/2

 

137. What is the product of two rational numbers?

a) A rational number

b) An irrational number

c) A whole number

d) None of the above

 

138. Which of the following is a rational number?

a) -√2

b) √7

c) 2.5

d) –π

 

139. What is the quadratic formula used for?

A) Solving quadratic equations

B) Solving linear equations

C) Solving cubic equations

D) Solving exponential equations

 

140. What is the standard form of a quadratic equation?

A) ax + b = 0

B) ax² + bx + c = 0

C) x² + bx + c = 0

D) ax² + bx = 0

 

141. What are the solutions to the quadratic equation 2x² + 3x - 4 = 0?

A) x = -4/3, x = 1/2

B) x = 4/3, x = -1/2

C) x = -3/2, x = 2/3

D) x = 3/2, x = -2/3

 

142. What is the discriminant of a quadratic equation?

A) b² - 4ac

B) a² + b² + c²

C) 2ab

D) b/a

 

143. How many solutions does a quadratic equation have if its discriminant is negative?

a) 0

b) 1

c) 2

d) It depends on the coefficients of the equation.

 

144. How many solutions does a quadratic equation have if its discriminant is zero?

A) 0

B) 1

C) 2

D) It depends on the coefficients of the equation.

 

145. What is the formula for finding the solutions of a quadratic equation?

a) x = -b/a ± √b² - 4ac/2a

b) x = -b ± √b² - 4ac/2a

c) x = -b/2a ± √b² - 4ac

d) x = -b/a ± √b² + 4ac/2a

 

146. What is the name of the process used to find the solutions of a quadratic equation using the quadratic formula?

a) Factoring

b) Completing the square

c) Quadratic formula

d) None of the above

147. What is the slope of the line passing through the points (2, 3) and (4, 5)?

a) 1

b) 2

c) 3

d) 4

 

148. What is the value of x in the equation 3x - 5 = 7x + 1?

a) -2

b) -3

c) 2

d) 3

 

149. If sin(x) = 3/5, what is the value of cos(x)?

a) 4/5

b) 3/4

c) 5/4

d) 5/3

 

150. What is the value of log2(16)?

a) 2

b) 3

c) 4

d) 5

  

151. If a car travels 360 km in 6 hours, what is its average speed?

a) 40 km/h

b) 60 km/h

c) 120 km/h

d) 720 km/h

152. What is the slope of the line passing through the points (2, 3) and (4, 7)?

A. 2

B. 3

C. 4

D. 5

 

153. If f(x) = 2x + 1 and g(x) = x^2, what is the value of f(g(2))?

A. 5

B. 9

C. 11

D. 13

 

154. If a rectangle has a length of 6 units and a width of 4 units, what is the perimeter of the rectangle?

A. 12 units

B. 16 units

C. 20 units

D. 24 units

 

155. What is the value of x in the equation 3x + 5 = 20?

(a) 5

(b) 6

(c) 7

(d) 8

 

156. Simplify the expression (4x - 3) + (2x + 5)

(a) 6x + 8

(b) 6x + 2

(c) 6x + 2x + 2

(d) 6x + 2x + 2 + 8

 

157. Find the slope of the line passing through the points (2, 3) and (4, 7).

(a) 2

(b) 4

(c) 1

(d) 3

 

158. What is the value of sin(45 degrees)?

(a) 0.5

(b) 0.707

(c) 1/2

(d) 0

 

159. What is the value of log(base 2) 16?

(a) 2

(b) 3

(c) 4

(d) 5

 

160. What is the value of x in the equation 2x + 5 = 15?

a) 5

b) 7.5

c) 10

d) 12.5

 

161. What is the slope of the line passing through the points (3, 5) and (6, 9)?

a) 1/3

b) 2/3

c) 3/4

d) 4/3

 

162. If a number is divided by 3 and then 7 is subtracted from the result, the answer is 5. What is the original number?

a) 26

b) 32

c) 36

d) 44

 

163. What is the slope of the line passing through the points (4, 5) and (8, 9)?

a) 1

b) 2

c) 3

d) 4

 

164. The expression 2x² - 3x + 1 can be factored into:

a) (2x - 1)(x - 1)

b) (2x - 1)(x + 1)

c) (x - 1)(2x + 1)

d) (x + 1)(2x - 1)

 

165. The value of sin(60°) is:

a) 1/2

b) √2/2

c) √3/2

d) 2/√3

 

166. If a circle has a diameter of 10 cm, what is its circumference?

a) 10π cm

b) 20π cm

c) 25π cm

d) 50π cm

 

167. If f(x) = x^2 - 4x + 5, what is the value of f(2)?

a) 1

b) 3

c) 5

d) 9

 

168. Which of the following is a prime number?

a) 10

b) 11

c) 12

d) 13

 

169. What is the value of sin(90°)?

a) 0

b) 1

c) -1

d) Undefined

 

170. What is the derivative of x² concerning x?

a) 2x

b) x

c) 1

d) 0

 

171. What is the value of log(1)?

a) 0

b) 1

c) -1

d) Undefined

 

172. What is the area of a circle with a radius of 3 cm?

a) 6π cm²

b) 9π cm²

c) 18π cm²

d) 27π cm²

 

173. Which of the following is a solution to the equation 2x - 3 = 7?

a) x = 5

b) x = 6

c) x = 7

d) x = 8

 

174. What is the value of the expression 3 + 4 × 5 - 2 ÷ 4?

a) 16

b) 17

c) 18

d) 19

 

175. What is the square root of 144?

a) 8

b) 12

c) 6

d) 72

 

176. What is the value of 2⁴ ÷ 2²?

a) 2

b) 4

c) 8

d) 16

 

177. What is the sum of the interior angles of a triangle?

a) 180°

b) 270°

c) 360°

d) 450°

 

178. What is the value of x in the equation 2x + 5 = 11?

a) x = 2

b) x = 3

c) x = 4

d) x = 5

 

179. What is the slope of the line passing through the points (4, 5) and (7, 9)?

a) 1

b) 2

c) 3

d) None of them

 

180. If f(x) = 3x + 2 and g(x) = 2x - 5, what is f(g(4))?

a) 6

b) 10

c) 12

d) None of them

 

181. What is the area of a circle with radius 5 units?

a) 25π square units

b) 50π square units

c) 75π square units

d) 100π square units

 

182. What is the value of sin (π/4)?

a) 1/√2

b) √2/2

c) √3/2

d) 1

 

183. What is the value of x in the equation 2x + 3 = 11?

a) 3

b) 4

c) 5

d) 6

 

184. Which of the following is an odd number?

a) 12

b) 15

c) 18

d) 22

 

185. If a square has a perimeter of 20 cm, what is the length of each side?

a) 2.5 cm

b) 3 cm

c) 4 cm

d) 5 cm

 

186. What is the slope of the line that passes through the points (2, 3) and (4, 5)?

a) 1

b) 2

c) 3

d) 4

 

187. What is the value of sin(60 degrees)?

a) 0

b) 1/2

c) sqrt(3)/2

d) 1

 

188. What is the value of x in the equation 2x + 4 = 10?

a) 2

b) 3

c) 4

d) 5

 

189. What is the slope of the line passing through the points (3, 5) and (7, 9)?

a) 1

b) 2

c) 3

d) 4

 

190. What is the value of sin(60°) in radians?

a) π/2

b) π/3

c) π/4

d) π/6

 

191. If f(x) = 3x^2 - 4x + 1, what is f'(x), the derivative of f(x)?

a) 6x - 4

b) 3x - 4

c) 6x + 4

d) 3x + 4

 

192. What is the solution to the equation 2x + 5 = 17?

a) x = 6

b) x = 7

c) x = 8

d) x = 9

 

193. What is the slope of the line passing through the points (3,4) and (5,7)?

a) 1.5

b) 2.0

c) 2.5

d) 3.0

 

194. What is the value of sin(45°)?

a) 0

b) 1/2

c) √2/2

d) 1

 

195. What is the area of a rectangle with a length of 8 cm and a width of 5 cm?

a) 13 cm²

b) 30 cm²

c) 40 cm²

d) 45 cm²

 

196. What is the value of log10(100)?

a) 0

b) 1

c) 2

d) 3

 

197. What is the slope of the line passing through the points (-2, 4) and (6, 8)?

a) 1/2

b) 2/3

c) 3/4

d) 4/3

 

198. Which of the following is an irrational number?

a) 2

b) 3/4

c) 0.5

d) None of them

 

199. The sum of the first 10 terms of the arithmetic sequence 3, 6, 9, 12, ... is:

a) 450

b) 300

c) 150

d) 55

 

200. If sin x = 3/5 and cos y = 4/5, what is the value of sin(x + y)?

a) 7/10

b) 24/25

c) 47/50

d) 12/13

 

201. Which of the following is NOT a way to represent a set?

a) Roster notation

b) Set-builder notation

c) Venn diagram

d) Ordered pair notation

 

202. Which of the following sets is a subset of {1, 2, 3, 4}?

a) {0, 1, 2}

b) {2, 3, 5}

c) {1, 2, 3, 4}

d) {2, 4}

 

203. The union of two sets A and B is the set of elements that belong to:

a) A or B or both

b) A and B

c) A but not B

d) B but not A

 

204. If A = {x | x is an odd integer} and B = {x | x is a prime number}, what is A ∩ B?

a) {1, 2}

b) {2, 3, 5, 7, 11, ...}

c) {3, 5, 7, 11, ...}

d) {1, 3, 5, 7, ...}

 

205. The power set of a set A with n elements has how many elements?

a) n

b) 2ⁿ

c) 2n

d) n!

 

206. If A ⊆ B, what can you say about A and B?

a) A is a proper subset of B

b) A is a subset of B but not necessarily a proper subset

c) B is a subset of A

d) A and B are disjoint

 

207. If A and B are disjoint sets, what is A ∩ B?

a) A

b) B

c) ∅

d) Cannot be determined

 

208. The complement of a set A is denoted by A'. Which of the following is true?

a) A ∪ A' = ∅

b) A ∩ A' = A

c) A ∩ A' = ∅

d) A ∪ A' = U (universal set)

 

209. Which of the following is the correct notation for the set of all even natural numbers between 1 and 10?

a) {2, 4, 6, 8, 10}

b) {2, 4, 6, 8}

c) {1, 3, 5, 7, 9}

d) {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

 

210. Which of the following is the correct set-builder notation for the set of all positive integers less than 10?

a) {x | x is a positive integer, x < 10}

b) {x | x is a positive integer}

c) {x | x < 10}

d) {x | x is an integer, x < 10}

 

211. Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}. What is A ∪ B?

a) {1, 2, 3, 4, 5, 6, 7}

b) {3, 4, 5}

c) {1, 2, 6, 7}

d) {1, 2, 3, 4, 5} ∪ {3, 4, 5, 6, 7}

 

212. Let A = {a, b, c, d, e} and B = {b, d, f, g}. What is A ∩ B?

a) {a, b, c, d, e, f, g}

b) {b, d}

c) {a, c, e, f, g}

d) A ∩ B does not exist

 

213. Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}. What is A - B?

a) {1, 2}

b) {3, 4, 5}

c) {1, 2, 6, 7}

d) A - B does not exist

 

214. If x + 2y = 10 and 3x - 4y = 8, what is the value of x?

a) 4

b) 2

c) 6

d) 3

 

215. Which of the following is the factorization of x² + 6x + 9?

a) (x + 3)²

b) (x + 3)(x - 3)

c) (x + 9)

d) (x^2 + 3x + 3)²

 

216. Which of the following is a quadratic equation?

a) 2x + 3 = 0

b) x² + 5x + 6 = 0

c) 4x - 1 = 2x + 3

d) x - 5 = 0

 

217. Which of the following is a right triangle?

A) Triangle ABC with sides AB=5, BC=7, AC=10

B) Triangle XYZ with sides XY=6, YZ=6, XZ=8

C) Triangle PQR with sides PQ=3, QR=4, PR=5

D) Triangle DEF with sides DE=2, EF=3, DF=4

 

218. If angle ABC measures 50 degrees, what is the measure of angle CBA?

A) 30 degrees

B) 40 degrees

C) 50 degrees

D) 130 degrees

 

219. A rectangle has a length of 12 cm and a width of 6 cm. What is its perimeter?

A) 12 cm

B) 24 cm

C) 30 cm

D) 36 cm

 

220. A circle has a radius of 5 cm. What is its circumference?

A) 10π cm

B) 25π cm

C) 50π cm

D) 100π cm

 

221. Which of the following is not a polygon?

A) Triangle

B) Square

C) Circle

D) Pentagon

 

222. What is the name of a geometrical shape with six sides?

a) Octagon

b) Hexagon

c) Pentagon

d) Heptagon

 

223. A rectangle has _____ pairs of opposite sides that are equal in length.

a) One

b) Two

c) Three

d) Four

 

224. Which of the following is not a property of a circle?

a) It has no edges or corners

b) It has a fixed center point

c) It has a constant radius

d) It has four sides

 

225. A cone is a geometric shape with _____ base and a curved surface.

a) Circular

b) Square

c) Rectangular

d) Triangular

 

226. A regular polygon is a shape with _____ sides of equal length and angles of equal size.

a) Straight

b) Curved

c) Irregular

d) Regular

 

227. A parallelogram is a shape with opposite sides that are _____ and parallel.

a) Congruent

b) Similar

c) Perpendicular

d) None of the above

 

228. Which of the following shapes has the largest number of sides?

a) Pentagon

b) Hexagon

c) Heptagon

d) Octagon

 

229. What is the value of sin(90°)?

a) 0

b) 1

c) -1

d) undefined

 

230. What is the value of cos(180°)?

a) 0

b) 1

c) -1

d) undefined

 

231. If tan θ = 3/4, what is the value of sec θ?

a) 3/5

b) 5/3

c) 4/3

d) 3/4

 

232. If sin α = 3/5 and cos β = 4/5, what is the value of sin(α + β)?

a) 12/25

b) 16/25

c) 20/25

d) 24/25

 

233. What is the value of tan 45°?

a) 0

b) 1

c) -1

d) undefined

 

234. Which of the following is not a trigonometric function?

a) Tan

b) Sin

c) Cos

d) Log

 

235. What is the reciprocal of cos?

a) Sin

b) Sec

c) Csc

d) Tan

 

236. What is the value of cos 0 degrees?

a) 0

b) 1

c) -1

d) Undefined

 

237. What is the value of tan 45 degrees?

a) 0

b) 1

c) -1

d) Undefined

 

238. Which of the following is true for a right-angled triangle?

a) All angles are acute

b) One angle is acute, one is obtuse, and one is right

c) One angle is acute and two are right

d) All angles are right

 

239. What is the formula for finding the hypotenuse of a right-angled triangle?

a) a² + b² = c²

b) a + b + c = 180 degrees

c) a/b = c/d

d) None of the above

 

240. What is the range of values for a sine function?

a) -1 to 1

b) 0 to 1

c) -π/2 to π/2

d) None of the above

 

241. What is the period of a sine function?

a) 2π

b) π

c) 1/2π

d) None of the above

 

242. What is the inverse function of the cosine function?

a) Sine

b) Cosecant

c) Secant

d) Arc cosine

 

243. What is the perimeter of a rectangle with a length of 10 cm and a width of 5 cm?

a) 30 cm

b) 20 cm

c) 50 cm

d) 15 cm

 

244. What is the area of a triangle with a base of 8 cm and a height of 6 cm?

a) 24 cm²

b) 12 cm²

c) 16 cm²

d) 48 cm²

 

245. What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

a) 80π cm³

b) 40π cm³

c) 160π cm³

d) 320π cm³

 

246. What is the surface area of a sphere with a radius of 7 cm?

a) 154π cm²

b) 98π cm²

c) 196π cm²

d) 308π cm²

 

247. What is the perimeter of a circle with a radius of 3 cm?

a) 18π cm

b) 6π cm

c) 9π cm

d) 27π cm

 

248. What is the formula for finding the area of a rectangle?

a) A = lw

b) A = 2lw

c) A = l + w

d) A = 2(l + w)

 

249. What is the formula for finding the circumference of a circle?

a) C = 2πr

b) C = πr^2

c) C = 2πr^2

d) C = πr/2

 

250. What is the formula for finding the volume of a cube?

a) V = lwh

b) V = l²w

c) V = l³

d) V = 2(l + w + h)

 

251. What is the formula for finding the perimeter of a triangle?

a) P = a + b

b) P = a + b + c

c) P = 2a + b

d) P = 2a + 2b

 

252. What is the formula for finding the area of a circle?

a) A = πr

b) A = πr²

c) A = 2πr

d) A = 2πr²

 

253. What is the formula for finding the volume of a sphere?

a) V = 4πr²

b) V = (4/3)πr³

c) V = 2πr

d) V = (1/3)πr³

 

254. What is the formula for finding the area of a triangle?

a) A = (b x h)/2

b) A = l²

c) A = lw

d) A = (l + w + h)/3

 

255. What is the formula for finding the surface area of a cube?

a) SA = 6s²

b) SA = s³

c) SA = 4πr²

d) SA = 2πr

 

256. What is the formula for finding the perimeter of a rectangle?

a) P = l + w

b) P = 2l + w

c) P = 2(l + w)

d) P = lw

 

257. What is the formula for finding the volume of a cylinder?

a) V = πr²

b) V = lwh

c) V = (1/3)πr³

d) V = πr²h

 

258. What is the formula for the area of a triangle?

a) A = bh

b) A = lw

c) A = ½bh

d) A = l + w

 

259. What is the formula for the circumference of a circle?

a) C = πr²

b) C = 2πr

c) C = πd

d) C = 2πd

 

260. What is the formula for the volume of a rectangular prism?

a) V = lwh

b) V = lw

c) V = l + w + h

d) V = 2lw + 2lh + 2wh

 

261. What is the formula for the surface area of a sphere?

a) SA = 4πr²

b) SA = πr²

c) SA = 2πr

d) SA = 2πr³

 

262. What is the formula for the area of a circle?

a) A = πr²

b) A = 2πr

c) A = πd

d) A = 2πd

 

263. What is the formula for the perimeter of a circle?

a) P = πr²

b) P = 2πr

c) P = πd

d) P = 2πd

 

264. What is the formula for the area of a trapezoid?

a) A = bh

b) A = (b1 + b2)h/2

c) A = l + w + h

d) A = 2lw + 2lh + 2wh

 

265. What is the formula for the volume of a cone?

a) V = πr²h

b) V = 2πr

c) V = 1/3πr²h

d) V = 3πr²h

 

266. What is the formula for the perimeter of a square?

a) P = s²

b) P = 4s

c) P = 2s

d) P = s/4

 

267. What is the value of the interior angles of a triangle?

a) 90 degrees

b) 120 degrees

c) 180 degrees

d) 360 degrees

 

268. What is the value of the circumference of a circle with a radius of 5 cm?

a) 5π cm

b) 10π cm

c) 15π cm

d) 25π cm

 

269. What is the value of the surface area of a cube with edges of length 3 cm?

a) 9 cm²

b) 18 cm²

c) 27 cm²

d) 54 cm²

 

270. What is the value of the volume of a sphere with a radius of 2 cm?

a) 4π cm³

b) 16π cm³

c) 32π cm³

d) 64π cm³

 

271. What is the value of the perimeter of a rectangle with sides of length 5 cm and 8 cm?

a) 10 cm

b) 18 cm

c) 26 cm

d) 40 cm

 

272. What is the area of a rectangle with a length of 5 cm and a width of 10 cm?

a) 15 cm²

b) 25 cm²

c) 50 cm²

d) 100 cm²

 

273. What is the perimeter of a square with a side length of 8 cm?

a) 8 cm

b) 16 cm

c) 24 cm

d) 32 cm

 

274. What is the volume of a cylinder with a radius of 3 cm and height of 8 cm?

A) 24π cm³

B) 36π cm³

C) 72π cm³

D) 216π cm³

 

275. What is the surface area of a sphere with a radius of 6 cm?

A) 36π cm²

B) 72π cm²

C) 144π cm²

D) 216π cm²

 

276. What is the perimeter of a regular hexagon with a side length of 4 cm?

a) 16 cm

b) 24 cm

c) 32 cm

d) 48 cm

 

277. What is the value of 8 + 9 - 3?

a) 13

b) 14

c) 15

d) 16

 

178. What is the value of 4 x 5 ÷ 2?

a) 8

b) 10

c) 12

d) 20

 

279. What is the value of (7 + 3) x 2?

a) 16

b) 20

c) 24

d) 30

 

280. What is the value of 6 ÷ 3 x 2?

a) 2

b) 4

c) 6

d) 12

 

281. What is the value of 10 - 2 x 3?

a) 4

b) 6

c) 8

d) 10

 

282. What is the result of 8 + 6 × 2²?

a) 20

b) 24

c) 28

d) 32

 

283. What is the result of 25 ÷ 5 + 3 × 2?

a) 16

b) 17

c) 18

d) 19

 

284. What is the value of x in the equation 4x - 10 = 22?

a) 8

b) 9

c) 10

d) 11

 

285. What is the result of (5 + 7)²?

a) 72

b) 144

c) 169

d) 196

 

286. What is the value of y in the equation 3y + 7 = 22 - 2y?

a) 3

b) 4

c) 5

d) 6

 

287. What is the result of 4³ + 2² - 3³?

a) -23

b) -17

c) -11

d) -5

 

288. What is the value of z in the equation 2z + 5 = 3z - 2?

a) 7

b) 6

c) 5

d) 4

 

289. What is the value of an in the equation 2a + 3 = 13?

a) 5

b) 6

c) 7

d) 8

 

290. What is the value of 8 + 4 × 2²?

A. 16

B. 20

C. 24

D. 32

 

291. Which of the following is equivalent to 3/4?

A. 0.3

B. 0.75

C. 1/2

D. 1/3

 

292. What is the square root of 81?

A. 3

B. 9

C. 81

D. 729

 

293. What is the reciprocal of 1/5?

A. 5

B. 1/5

C. 1

D. 2/5

 

294. What is the value of 5 + 3 × 2?

a) 16

b) 11

c) 13

d) 14

 

295. What is the value of 12 ÷ 4 - 3 + 2 × 5?

a) 14

b) 18

c) 7

d) 19

 

296. What is the value of (5 - 3) × (4 + 6) ÷ 2?

a) 9

b) 15

c) 20

d) 25

 

297. What is the value of 3² - 2³ + 1?

a) -2

b) 0

c) 4

d) 8

 

298. If x = 2 and y = 5, what is the value of x + y?

a. 3

b. 5

c. 7

d. 10

 

299. What is the value of 3 + 4 x 2?

a. 10

b. 11

c. 14

d. 15

 

300. What is the absolute value of -7?

a. -7

b. 0

c. 7

d. 14

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General Maths Solved MCQs