Mathematics (School) MCQ & Objective Questions
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. In triangle ABC, if AB = 8 cm, AC = 6 cm, and angle A = 60 degrees, what is the length of side BC using the Law of Cosines?
A.
10 cm
B.
8 cm
C.
7 cm
D.
5 cm
Show solution
Solution
Using the Law of Cosines: BC^2 = AB^2 + AC^2 - 2 * AB * AC * cos(A) = 8^2 + 6^2 - 2 * 8 * 6 * (1/2) = 64 + 36 - 48 = 52. Therefore, BC = √52 = 10 cm.
Correct Answer:
A
— 10 cm
Learn More →
Q. In triangle ABC, if AB = AC and angle A = 100 degrees, what is the measure of angles B and C?
A.
40 degrees each
B.
50 degrees each
C.
60 degrees each
D.
80 degrees each
Show solution
Solution
In an isosceles triangle, angles B and C are equal. Therefore, angle B = angle C = (180 - 100) / 2 = 40 degrees.
Correct Answer:
A
— 40 degrees each
Learn More →
Q. In triangle ABC, if AB = AC and angle A = 40 degrees, what are the measures of angles B and C?
A.
70 degrees each
B.
80 degrees each
C.
40 degrees each
D.
60 degrees each
Show solution
Solution
Since AB = AC, angles B and C are equal. Therefore, angle B + angle C = 140 degrees, and each angle is 70 degrees.
Correct Answer:
B
— 80 degrees each
Learn More →
Q. In triangle ABC, if AB = AC and angle A = 40 degrees, what is the measure of angles B and C?
A.
70 degrees each
B.
80 degrees each
C.
60 degrees each
D.
50 degrees each
Show solution
Solution
Since AB = AC, angles B and C are equal. Therefore, angle B + angle C = 180 - 40 = 140 degrees, so each angle is 70 degrees.
Correct Answer:
B
— 80 degrees each
Learn More →
Q. In triangle ABC, if AB = AC and angle A = 40°, what is the measure of angle B?
A.
40°
B.
70°
C.
80°
D.
60°
Show solution
Solution
In an isosceles triangle, the base angles are equal. Therefore, angle B = angle C. Since the sum of angles in a triangle is 180°, we have 40° + 2B = 180°, leading to B = 70°.
Correct Answer:
B
— 70°
Learn More →
Q. In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is angle C?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
120 degrees
Show solution
Solution
Angle C can be found by subtracting the sum of angles A and B from 180 degrees: 180 - (30 + 60) = 90 degrees.
Correct Answer:
C
— 90 degrees
Learn More →
Q. In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is the length of side a opposite angle A if side b = 10?
Show solution
Solution
Using the sine rule: a/sin(A) = b/sin(B) => a = b * sin(A)/sin(B) = 10 * sin(30)/sin(60) = 10 * 0.5/(√3/2) = 5.
Correct Answer:
A
— 5
Learn More →
Q. In triangle ABC, if angle A = 30 degrees and angle B = 70 degrees, what is the measure of angle C?
A.
30 degrees
B.
40 degrees
C.
50 degrees
D.
80 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - 30 - 70 = 80 degrees.
Correct Answer:
C
— 50 degrees
Learn More →
Q. In triangle ABC, if angle A = 30° and angle B = 60°, what is angle C?
A.
90°
B.
60°
C.
30°
D.
120°
Show solution
Solution
Angle C = 180° - (angle A + angle B) = 180° - (30° + 60°) = 90°.
Correct Answer:
A
— 90°
Learn More →
Q. In triangle ABC, if angle A = 40 degrees and angle B = 60 degrees, what is the measure of angle C?
A.
80 degrees
B.
100 degrees
C.
120 degrees
D.
140 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - 40 - 60 = 80 degrees.
Correct Answer:
A
— 80 degrees
Learn More →
Q. In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what type of triangle is it?
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right-angled
Show solution
Solution
Triangle ABC is isosceles because two angles are equal.
Correct Answer:
B
— Isosceles
Learn More →
Q. In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what type of triangle is ABC?
A.
Scalene
B.
Isosceles
C.
Equilateral
D.
Right
Show solution
Solution
Since two angles are equal (45 degrees each), triangle ABC is an isosceles triangle.
Correct Answer:
B
— Isosceles
Learn More →
Q. In triangle ABC, if angle A = 45 degrees and angle B = 55 degrees, what is the measure of angle C?
A.
80 degrees
B.
90 degrees
C.
100 degrees
D.
70 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (45 + 55) = 80 degrees.
Correct Answer:
A
— 80 degrees
Learn More →
Q. In triangle ABC, if angle A = 45 degrees, angle B = 45 degrees, and side a = 10 cm, what is the length of side c?
A.
10 cm
B.
10√2 cm
C.
5√2 cm
D.
20 cm
Show solution
Solution
In an isosceles right triangle, the sides opposite the 45-degree angles are equal. Thus, c = a√2 = 10√2 cm.
Correct Answer:
B
— 10√2 cm
Learn More →
Q. In triangle ABC, if angle A = 50 degrees and angle B = 60 degrees, what is angle C?
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
Show solution
Solution
The sum of the angles in a triangle is 180 degrees. Therefore, angle C = 180 - (50 + 60) = 70 degrees.
Correct Answer:
B
— 80 degrees
Learn More →
Q. In triangle ABC, if angle A = 50 degrees and angle B = 60 degrees, what is the measure of angle C?
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Angle C = 180 - (50 + 60) = 70 degrees.
Correct Answer:
B
— 80 degrees
Learn More →
Q. In triangle ABC, if angle A = 50 degrees and angle B = 70 degrees, what is the measure of angle C?
A.
60 degrees
B.
70 degrees
C.
80 degrees
D.
90 degrees
Show solution
Solution
Angle C can be calculated as 180 - (50 + 70) = 60 degrees.
Correct Answer:
C
— 80 degrees
Learn More →
Q. In triangle ABC, if angle A = 50° and angle B = 60°, what is angle C?
A.
50 degrees
B.
60 degrees
C.
70 degrees
D.
80 degrees
Show solution
Solution
The sum of angles in a triangle is 180°. Therefore, angle C = 180° - 50° - 60° = 70°.
Correct Answer:
C
— 70 degrees
Learn More →
Q. In triangle ABC, if angle A = 50° and angle B = 60°, what is the measure of angle C?
A.
70°
B.
80°
C.
90°
D.
100°
Show solution
Solution
The sum of angles in a triangle is 180°. Therefore, angle C = 180° - (50° + 60°) = 70°.
Correct Answer:
A
— 70°
Learn More →
Q. In triangle ABC, if angle A = 60 degrees, angle B = 70 degrees, and side a = 10 cm, what is the length of side b using the Law of Sines?
A.
8.66 cm
B.
9.15 cm
C.
7.84 cm
D.
10.00 cm
Show solution
Solution
Using the Law of Sines: a/sin(A) = b/sin(B). Thus, b = a * (sin(B)/sin(A)) = 10 * (sin(70)/sin(60)). Calculating gives b ≈ 10 * (0.9397/0.8660) ≈ 10.80 cm.
Correct Answer:
B
— 9.15 cm
Learn More →
Q. In triangle ABC, if angle A = 60° and angle B = 70°, what is the measure of angle C?
A.
50°
B.
60°
C.
70°
D.
80°
Show solution
Solution
The sum of angles in a triangle is 180°. Therefore, angle C = 180° - (60° + 70°) = 180° - 130° = 50°.
Correct Answer:
A
— 50°
Learn More →
Q. In triangle ABC, if angle A = 90 degrees and AB = 6 cm, AC = 8 cm, what is the length of BC?
A.
10 cm
B.
12 cm
C.
14 cm
D.
16 cm
Show solution
Solution
Using the Pythagorean theorem: BC = √(AB² + AC²) = √(6² + 8²) = √(36 + 64) = √100 = 10 cm.
Correct Answer:
A
— 10 cm
Learn More →
Q. In triangle ABC, if angle A = 90 degrees and AB = AC, what type of triangle is ABC?
A.
Scalene
B.
Isosceles
C.
Equilateral
D.
Right
Show solution
Solution
Triangle ABC is an isosceles right triangle because it has two equal sides and one right angle.
Correct Answer:
B
— Isosceles
Learn More →
Q. In triangle ABC, if angle A = 90 degrees, angle B = 45 degrees, what is the measure of angle C?
A.
45 degrees
B.
60 degrees
C.
30 degrees
D.
90 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - 90 - 45 = 45 degrees.
Correct Answer:
A
— 45 degrees
Learn More →
Q. In triangle ABC, if angle A is 40 degrees and angle B is 60 degrees, what is the measure of angle C?
A.
80 degrees
B.
100 degrees
C.
40 degrees
D.
60 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (40 + 60) = 80 degrees.
Correct Answer:
A
— 80 degrees
Learn More →
Q. In triangle ABC, if angle A is 50 degrees and angle B is 60 degrees, what is the measure of angle C?
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (50 + 60) = 70 degrees.
Correct Answer:
A
— 70 degrees
Learn More →
Q. In triangle ABC, if angle A is 50 degrees and angle B is 70 degrees, what is the measure of angle C?
A.
60 degrees
B.
70 degrees
C.
80 degrees
D.
90 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (50 + 70) = 60 degrees.
Correct Answer:
C
— 80 degrees
Learn More →
Q. In triangle ABC, if angle A is 60 degrees and angle B is 70 degrees, what is the measure of angle C?
A.
50 degrees
B.
60 degrees
C.
70 degrees
D.
80 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (60 + 70) = 50 degrees.
Correct Answer:
A
— 50 degrees
Learn More →
Q. In triangle ABC, if angle A is 60 degrees and angle B is 90 degrees, what is the measure of angle C?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
120 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (60 + 90) = 30 degrees.
Correct Answer:
A
— 30 degrees
Learn More →
Q. In triangle ABC, if the lengths of sides AB and AC are equal, what type of triangle is ABC?
A.
Scalene
B.
Isosceles
C.
Equilateral
D.
Right
Show solution
Solution
A triangle with two equal sides is classified as an isosceles triangle.
Correct Answer:
B
— Isosceles
Learn More →
Showing 1231 to 1260 of 2594 (87 Pages)
