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. If point A is at (3, 5) and point B is at (9, 1), what is the coordinates of point P that divides AB in the ratio 2:3?
A.
(5.4, 3.6)
B.
(6, 4)
C.
(5, 3)
D.
(4, 2)
Show solution
Solution
Using the section formula: P = ((2*9 + 3*3)/(2+3), (2*1 + 3*5)/(2+3)) = (5.4, 3.6).
Correct Answer:
A
— (5.4, 3.6)
Learn More →
Q. If point A(2, 3) and point B(8, 7) are endpoints of a line segment, what is the midpoint M?
A.
(5, 5)
B.
(4, 5)
C.
(6, 5)
D.
(5, 4)
Show solution
Solution
Midpoint M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 8)/2, (3 + 7)/2) = (5, 5).
Correct Answer:
A
— (5, 5)
Learn More →
Q. If point A(2, 3) and point B(8, 7) are endpoints of a line segment, what is the midpoint M of AB?
A.
(5, 5)
B.
(4, 5)
C.
(6, 5)
D.
(5, 4)
Show solution
Solution
Midpoint M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 8)/2, (3 + 7)/2) = (5, 5).
Correct Answer:
A
— (5, 5)
Learn More →
Q. If point A(2, 3) and point B(8, 7) are given, what is the midpoint M of segment AB?
A.
(5, 5)
B.
(4, 5)
C.
(6, 5)
D.
(5, 4)
Show solution
Solution
Using the midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 8)/2, (3 + 7)/2) = (5, 5).
Correct Answer:
A
— (5, 5)
Learn More →
Q. If point A(2, 3) and point B(8, 7) are the endpoints of a line segment, what is the midpoint M of AB?
A.
(5, 5)
B.
(4, 5)
C.
(6, 5)
D.
(5, 4)
Show solution
Solution
Midpoint M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 8)/2, (3 + 7)/2) = (5, 5).
Correct Answer:
A
— (5, 5)
Learn More →
Q. If point C divides the segment AB in the ratio 2:3, where A(1, 2) and B(6, 8), what are the coordinates of point C?
A.
(3.0, 4.0)
B.
(4.0, 5.0)
C.
(2.0, 3.0)
D.
(5.0, 6.0)
Show solution
Solution
Using the section formula: C = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) = ((2*6 + 3*1)/(2+3), (2*8 + 3*2)/(2+3)) = (4.0, 5.0).
Correct Answer:
B
— (4.0, 5.0)
Learn More →
Q. If point C is at (0, 0) and point D is at (6, 8), what is the length of segment CD?
Show solution
Solution
Using the distance formula: d = √((6 - 0)² + (8 - 0)²) = √(36 + 64) = √100 = 10.
Correct Answer:
B
— 10
Learn More →
Q. If point C is at (2, 3) and point D is at (10, 7), what is the coordinates of point E that divides CD in the ratio 1:3?
A.
(5, 4)
B.
(4, 5)
C.
(6, 5)
D.
(7, 6)
Show solution
Solution
Using the section formula: E = ((1*10 + 3*2)/(1+3), (1*7 + 3*3)/(1+3)) = (5, 4).
Correct Answer:
A
— (5, 4)
Learn More →
Q. If point C is at (3, 5) and point D is at (9, 1), what is the coordinates of the point that divides CD in the ratio 2:3?
A.
(5.4, 3.2)
B.
(6, 3)
C.
(4.5, 4)
D.
(5, 4)
Show solution
Solution
Using the section formula: P = ((2*9 + 3*3)/(2+3), (2*1 + 3*5)/(2+3)) = (5.4, 3.2).
Correct Answer:
A
— (5.4, 3.2)
Learn More →
Q. If point C is at (4, 5) and point D is at (10, 15), what is the distance between C and D?
A.
10
B.
11.18
C.
12
D.
9.22
Show solution
Solution
Using the distance formula: d = √((10 - 4)² + (15 - 5)²) = √(36 + 100) = √136 ≈ 11.18.
Correct Answer:
B
— 11.18
Learn More →
Q. If point C is at (5, 5) and point D is at (5, 10), what is the distance between points C and D?
Show solution
Solution
Distance = |y2 - y1| = |10 - 5| = 5.
Correct Answer:
A
— 5
Learn More →
Q. If point C(0, 0) and point D(6, 8) are endpoints of a line segment, what is the length of CD?
Show solution
Solution
Using the distance formula: d = √((6 - 0)² + (8 - 0)²) = √(36 + 64) = √100 = 10.
Correct Answer:
A
— 10
Learn More →
Q. If point C(0, 0) and point D(6, 8) are the endpoints of a line segment, what is the length of CD?
A.
8.0
B.
10.0
C.
6.0
D.
7.0
Show solution
Solution
Using the distance formula: d = √((6 - 0)² + (8 - 0)²) = √(36 + 64) = √100 = 10.0.
Correct Answer:
B
— 10.0
Learn More →
Q. If point C(1, 1) divides the line segment joining points A(0, 0) and B(4, 4) in the ratio k:1, what is the value of k?
Show solution
Solution
Using the section formula, C = ((kx2 + x1)/(k+1), (ky2 + y1)/(k+1)). Setting C(1, 1) gives k = 1.
Correct Answer:
B
— 2
Learn More →
Q. If point C(1, 2) and point D(7, 8) are given, what is the coordinates of the point that divides CD in the ratio 3:2?
A.
(4, 5)
B.
(5, 6)
C.
(3, 4)
D.
(6, 7)
Show solution
Solution
Using the section formula: P = ((3*7 + 2*1)/(3+2), (3*8 + 2*2)/(3+2)) = (4, 5).
Correct Answer:
A
— (4, 5)
Learn More →
Q. If point C(4, 5) is the midpoint of segment AB, and A is at (2, 3), what are the coordinates of point B?
A.
(6, 7)
B.
(8, 9)
C.
(4, 5)
D.
(2, 3)
Show solution
Solution
Using the midpoint formula: B = (2*C - A) = (2*4 - 2, 2*5 - 3) = (6, 7).
Correct Answer:
A
— (6, 7)
Learn More →
Q. If point D divides the line segment joining points (2, 5) and (8, 9) in the ratio 3:1, what are the coordinates of point D?
A.
(5, 7)
B.
(6, 8)
C.
(4, 6)
D.
(7, 8)
Show solution
Solution
Using the section formula: D = ((3*8 + 1*2)/(3+1), (3*9 + 1*5)/(3+1)) = (5, 7).
Correct Answer:
A
— (5, 7)
Learn More →
Q. If point D divides the segment AB with A(2, 3) and B(8, 7) in the ratio 2:3, what are the coordinates of D?
A.
(4.8, 5.2)
B.
(5.2, 4.8)
C.
(6, 5)
D.
(5, 5)
Show solution
Solution
Using the section formula: D = ((2*8 + 3*2)/(2+3), (2*7 + 3*3)/(2+3)) = (4.8, 5.2).
Correct Answer:
A
— (4.8, 5.2)
Learn More →
Q. If point D is at (5, 5) and point E is at (1, 1), what is the distance DE?
Show solution
Solution
Using the distance formula: d = √((5 - 1)² + (5 - 1)²) = √(16 + 16) = √32 = 4√2 ≈ 5.66.
Correct Answer:
B
— 5
Learn More →
Q. If point D is at (6, 8) and point E is at (2, 4), what is the length of DE?
A.
4.47
B.
5.66
C.
6.32
D.
7.21
Show solution
Solution
Using the distance formula: d = √((6 - 2)² + (8 - 4)²) = √(16 + 16) = √32 = 5.66.
Correct Answer:
B
— 5.66
Learn More →
Q. If point D is at (6, 8) and point E is at (2, 4), what is the section formula ratio if point F divides DE in the ratio 1:3?
A.
(3, 5)
B.
(4, 6)
C.
(2.5, 4.5)
D.
(3.5, 5.5)
Show solution
Solution
Using the section formula: F = ((1*2 + 3*6)/(1+3), (1*4 + 3*8)/(1+3)) = (5, 7).
Correct Answer:
A
— (3, 5)
Learn More →
Q. If point D(3, 4) is the midpoint of segment AB where A(1, 2) and B(x, y), what are the coordinates of B?
A.
(5, 6)
B.
(7, 8)
C.
(6, 8)
D.
(4, 6)
Show solution
Solution
Using the midpoint formula: D = ((x1 + x2)/2, (y1 + y2)/2). Solving gives B = (5, 6).
Correct Answer:
A
— (5, 6)
Learn More →
Q. If point E is at (3, 4) and point F is at (6, 8), what is the distance between E and F?
Show solution
Solution
Using the distance formula: d = √((6 - 3)² + (8 - 4)²) = √(9 + 16) = √25 = 5.
Correct Answer:
B
— 5
Learn More →
Q. If point E(1, 1) and point F(4, 5) are the endpoints of a line segment, what is the length of EF?
A.
3.61
B.
4.24
C.
5.0
D.
6.0
Show solution
Solution
Using the distance formula: d = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.0.
Correct Answer:
B
— 4.24
Learn More →
Q. If point P divides the segment joining (2, 3) and (8, 7) in the ratio 3:1, what are the coordinates of P?
A.
(5, 4)
B.
(6, 5)
C.
(7, 6)
D.
(4, 5)
Show solution
Solution
Using the section formula: P = ((3*8 + 1*2)/(3+1), (3*7 + 1*3)/(3+1)) = (6, 5).
Correct Answer:
B
— (6, 5)
Learn More →
Q. If point P divides the segment joining A(1, 2) and B(5, 6) in the ratio 1:3, what are the coordinates of P?
A.
(3, 4)
B.
(2, 3)
C.
(4, 5)
D.
(1, 2)
Show solution
Solution
Using the section formula: P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) = ((1*5 + 3*1)/(1+3), (1*6 + 3*2)/(1+3)) = (3, 4).
Correct Answer:
A
— (3, 4)
Learn More →
Q. If point P is at (3, 5) and point Q is at (9, 1), what is the coordinates of point R that divides PQ in the ratio 2:3?
A.
(5.4, 3.6)
B.
(6, 4)
C.
(5, 4)
D.
(4, 3)
Show solution
Solution
Using the section formula: R = ((2*9 + 3*3)/(2+3), (2*1 + 3*5)/(2+3)) = (5.4, 3.6).
Correct Answer:
A
— (5.4, 3.6)
Learn More →
Q. If sin(x) = 0.5, what are the possible values of x in degrees?
A.
30°, 150°
B.
45°, 135°
C.
60°, 120°
D.
90°, 270°
Show solution
Solution
sin(x) = 0.5 gives x = 30° and 150°.
Correct Answer:
A
— 30°, 150°
Learn More →
Q. If sin(x) = 0.8, what is the value of csc(x)?
A.
0.8
B.
1.25
C.
1.2
D.
0.5
Show solution
Solution
csc(x) = 1/sin(x) = 1/0.8 = 1.25.
Correct Answer:
B
— 1.25
Learn More →
Q. If sin(θ) = 0.6, what is cos(θ) using the Pythagorean identity?
A.
0.8
B.
0.6
C.
0.4
D.
0.2
Show solution
Solution
Using sin²θ + cos²θ = 1, cos²θ = 1 - 0.6² = 0.64, thus cos(θ) = 0.8.
Correct Answer:
A
— 0.8
Learn More →
Showing 481 to 510 of 2594 (87 Pages)
