Second Term Maths Question Paper With Answers

Maths is a subject that strengthens logical thinking and problem-solving skills. Preparing for the second term maths exam involves practicing various types of questions. Below are carefully selected questions with detailed answers to help students prepare effectively for their exams.

Algebra Questions

Question What is the solution of the equation 3x + 5 = 14?

Answer x = 3

Question If 2x – 7 = 9, find the value of x.

Answer x = 8

Question Simplify: (3x + 4) + (5x – 2).

Answer 8x + 2

Question Solve: 4x – 6 = 10.

Answer x = 4

Question Expand: (x + 3)(x – 2).

Answer x² + x – 6

Question Factorize: x² – 9.

Answer (x – 3)(x + 3)

Question If x = 2, find the value of 3x² – 5x + 4.

Answer 10

Question Simplify: 2x² + 3x – x² + x.

Answer x² + 4x

Question Solve: 5x + 3 = 2x + 9.

Answer x = 2

Question Find the roots of x² – 7x + 10 = 0.

Answer x = 5, x = 2

Question Evaluate: 4x – 3, if x = 5.

Answer 17

Question Simplify: 7x – 4 + 2x + 9.

Answer 9x + 5

Question Solve for x: 6x + 3 = 15.

Answer x = 2

Question Factorize: x² + 5x + 6.

Answer (x + 2)(x + 3)

Question Expand: (2x – 1)(x + 4).

Answer 2x² + 7x – 4

Question Simplify: (5x + 6) – (3x – 2).

Answer 2x + 8

Question Solve: x² = 25.

Answer x = 5 or x = -5

Question If 3x – 5 = 16, find x.

Answer x = 7

Question Expand: (x + 2)(x – 3).

Answer x² – x – 6

Question Factorize: 4x² – 9.

Answer (2x – 3)(2x + 3)

Geometry Questions

Question What is the area of a triangle with base 5 cm and height 8 cm?

Answer 20 cm²

Question Find the perimeter of a rectangle with length 10 cm and width 6 cm.

Answer 32 cm

Question What is the circumference of a circle with radius 7 cm?

Answer 44 cm

Question If the diameter of a circle is 14 cm, find its area.

Answer 154 cm²

Question Calculate the area of a square with side 9 cm.

Answer 81 cm²

Question Find the volume of a cube with side 4 cm.

Answer 64 cm³

Question What is the length of the diagonal of a rectangle with length 8 cm and width 6 cm?

Answer 10 cm

Question A parallelogram has a base of 12 cm and height of 5 cm. Find its area.

Answer 60 cm²

Question Calculate the perimeter of a triangle with sides 7 cm, 8 cm, and 9 cm.

Answer 24 cm

Question Find the area of a trapezium with parallel sides 10 cm and 14 cm and height 8 cm.

Answer 96 cm²

Question What is the surface area of a sphere with radius 3 cm?

Answer 113.04 cm²

Question Find the total surface area of a cylinder with radius 4 cm and height 10 cm.

Answer 351.68 cm²

Question What is the volume of a cone with radius 3 cm and height 9 cm?

Answer 84.78 cm³

Question Calculate the area of a semicircle with radius 5 cm.

Answer 39.25 cm²

Question What is the length of the side of a square with area 144 cm²?

Answer 12 cm

Question Find the height of a triangle with area 30 cm² and base 12 cm.

Answer 5 cm

Question Calculate the area of a rhombus with diagonals 10 cm and 8 cm.

Answer 40 cm²

Question What is the area of a circle with radius 6 cm?

Answer 113.04 cm²

Question Find the perimeter of a square with side 11 cm.

Answer 44 cm

Question Calculate the volume of a cuboid with length 6 cm, width 4 cm, and height 5 cm.

Answer 120 cm³

Statistics Questions

Question Find the mean of the numbers: 5, 10, 15, 20, 25.

Answer 15

Question What is the mode of the numbers: 4, 6, 4, 9, 10, 4, 7?

Answer 4

Question Calculate the median of the numbers: 2, 4, 6, 8, 10.

Answer 6

Question If the range of a data set is 12 and the smallest value is 8, find the largest value.

Answer 20

Question Find the probability of getting a head when tossing a coin.

Answer 1/2

Question What is the probability of rolling a 5 on a fair six-sided die?

Answer 1/6

Question Find the mean of the numbers: 3, 7, 9, 15, 20.

Answer 10.8

Question If the mean of five numbers is 14 and their total sum is 70, find the missing number.

Answer 14

Question What is the mode of the numbers: 12, 15, 12, 18, 20, 12?

Answer 12

Question Calculate the median of the numbers: 1, 3, 7, 8, 9, 11, 15.

Answer 8

Question Find the range of the numbers: 4, 9, 12, 15, 20.

Answer 16

Question What is the probability of rolling an even number on a six-sided die?

Answer 1/2

Question Calculate the mean of the numbers: 6, 8, 10, 12, 14.

Answer 10

Question Find the median of the numbers: 2, 5, 8, 11, 13, 15.

Answer 9.5

Question What is the probability of selecting a red card from a standard deck of 52 cards?

Answer 1/2

Question If the range of a data set is 18 and the largest value is 25, find the smallest value.

Answer 7

Question Calculate the mean of the numbers: 10, 20, 30, 40, 50.

Answer 30

Question What is the mode of the numbers: 5, 8, 5, 10, 12, 5, 15?

Answer 5

Question Find the probability of drawing an ace from a standard deck of 52 cards.

Answer 1/13

Question Calculate the median of the numbers: 3, 5, 7, 9, 11, 13.

Answer 8

Maths encourages logical reasoning and application. By solving these diverse questions, students can enhance their preparation for the second term exam. Practice and revision are keys to success.