Mathematics is a crucial subject in school education, forming the foundation for various competitive exams. Mastering Mathematics (School) not only enhances problem-solving skills but also boosts confidence during exams. Practicing MCQs and objective questions is essential for effective exam preparation, as it helps students identify important questions and understand concepts clearly.
What You Will Practise Here
Number Systems and their properties
Algebraic Expressions and Equations
Geometry: Angles, Triangles, and Circles
Statistics and Probability concepts
Mensuration: Area, Volume, and Surface Area
Trigonometry basics and applications
Functions and Graphs
Exam Relevance
Mathematics (School) is a significant part of the curriculum for CBSE and State Boards, as well as competitive exams like NEET and JEE. Students can expect a variety of question patterns, including direct application of formulas, conceptual understanding, and problem-solving scenarios. Familiarity with MCQs in this subject can greatly enhance performance in both board and competitive examinations.
Common Mistakes Students Make
Misinterpreting the question, leading to incorrect answers.
Overlooking the importance of units in measurement-related problems.
Confusing similar formulas, especially in Geometry and Algebra.
Neglecting to check calculations, resulting in simple arithmetic errors.
Failing to understand the underlying concepts, which affects problem-solving ability.
FAQs
Question: How can I improve my speed in solving Mathematics (School) MCQs? Answer: Regular practice with timed quizzes and mock tests can significantly enhance your speed and accuracy.
Question: Are there any specific topics I should focus on for competitive exams? Answer: Focus on Algebra, Geometry, and Statistics, as these areas frequently appear in competitive exams.
Start your journey towards mastering Mathematics (School) today! Solve practice MCQs to test your understanding and prepare effectively for your exams. Remember, consistent practice leads to success!
Q. A bakery sells cakes and cookies. If the total number of items is 150 and the number of cakes is twice the number of cookies, how many cakes are there?
A.
100
B.
50
C.
75
D.
25
Solution
Let the number of cookies be x. Then the number of cakes is 2x. The equation is x + 2x = 150. Solving gives 3x = 150, so x = 50. Therefore, cakes = 2x = 100.
Q. A bookstore sells novels and magazines. If the total number of books is 200 and the number of novels is 3 times the number of magazines, how many novels are there?
A.
150
B.
120
C.
75
D.
100
Solution
Let the number of magazines be x. Then the number of novels is 3x. The equation is x + 3x = 200. Solving gives 4x = 200, so x = 50. Therefore, novels = 3x = 150.
Q. A building is 20 meters tall. If the angle of elevation from a point on the ground 10 meters away from the base of the building is θ, what is tan(θ)?
Q. A circle is inscribed in a triangle with sides of lengths 7 cm, 8 cm, and 9 cm. What is the radius of the inscribed circle?
A.
4 cm
B.
3 cm
C.
2 cm
D.
5 cm
Solution
The semi-perimeter s = (7 + 8 + 9)/2 = 12 cm. The area A can be calculated using Heron's formula. The radius r = A/s. The area is 24 cm², so r = 24/12 = 2 cm.
Q. A circle is inscribed in a triangle. If the sides of the triangle are 7 cm, 8 cm, and 9 cm, what is the radius of the inscribed circle?
A.
3 cm
B.
4 cm
C.
5 cm
D.
6 cm
Solution
The radius r of the inscribed circle can be found using the formula r = A/s, where A is the area and s is the semi-perimeter. The semi-perimeter s = (7 + 8 + 9)/2 = 12 cm. The area A can be calculated using Heron's formula: A = √[s(s-a)(s-b)(s-c)] = √[12(12-7)(12-8)(12-9)] = √[12*5*4*3] = √720 = 12√5. Thus, r = A/s = (12√5)/12 = √5 cm, which is approximately 2.24 cm.
Q. A circle is inscribed in a triangle. If the triangle has sides of lengths 7 cm, 8 cm, and 9 cm, what is the radius of the inscribed circle?
A.
3 cm
B.
4 cm
C.
5 cm
D.
6 cm
Solution
The area A of the triangle can be calculated using Heron's formula. The semi-perimeter s = (7 + 8 + 9) / 2 = 12. The area A = √(s(s-a)(s-b)(s-c)) = √(12(12-7)(12-8)(12-9)) = √(12*5*4*3) = 12√5. The radius r = A/s = (12√5)/12 = √5 cm, which is approximately 4 cm.
Q. A circle is inscribed in a triangle. If the triangle has sides of lengths 7, 8, and 9 units, what is the radius of the inscribed circle?
A.
3 square units
B.
4 square units
C.
5 square units
D.
6 square units
Solution
The area of the triangle is 24 square units (using Heron's formula). The semi-perimeter is 12 units. The radius r = Area/semi-perimeter = 24/12 = 2 units.
Q. A circle is inscribed in a triangle. What is the radius of the incircle if the triangle has sides of lengths 7, 8, and 9 units?
A.
4 square units
B.
3 square units
C.
5 square units
D.
2 square units
Solution
The area of the triangle can be calculated using Heron's formula. The semi-perimeter s = (7+8+9)/2 = 12. The area A = √(s(s-a)(s-b)(s-c)) = √(12(12-7)(12-8)(12-9)) = √(12*5*4*3) = 12√5. The radius r = A/s = 12√5/12 = √5. The radius is approximately 3 square units.
Q. A company produces pens and pencils. If the total production is 500 items and the number of pens is 4 times the number of pencils, how many pens are produced?
A.
400
B.
100
C.
200
D.
300
Solution
Let the number of pencils be x. Then the number of pens is 4x. The equation is x + 4x = 500. Solving gives 5x = 500, so x = 100. Therefore, pens = 4x = 400.
Q. A concert hall has 300 seats. If the number of reserved seats is 50 more than the number of general admission seats, how many reserved seats are there?
A.
125
B.
175
C.
100
D.
150
Solution
Let the number of general admission seats be x. Then the number of reserved seats is x + 50. The equation is x + (x + 50) = 300. Solving gives 2x + 50 = 300, so 2x = 250, x = 125. Therefore, reserved seats = x + 50 = 175.
