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Class 9 / Maths (71 questions)
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by GIANSH GUPTA KHUNDKER
· Class 9
The number 7¹² - 2¹² is perfectly divisible by which of the following pairs?
(a) Both 5 and 9
(b) Both 5 and 11
(c) Both 9 and 13
(d) Both 3 and 7
Maths
Number Systems
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people 3 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
The sides of a triangle are in the ratio 3 : 4 : 5. If the perimeter of this triangle is 36 cm, what is its total surface area?
(a) 54 cm²
(b) 60 cm²
(c) 72 cm²
(d) 108 cm²
Maths
Other
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people 2 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
The mean age of a combined group of men and women is 35 years. If the mean age of the men is 36 years and the mean age of the women is 32 years, find the percentage of women in the group.
(a) 20%
(b) 25%
(c) 50%
(d) 75%
Maths
Statistics
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
Find the value of x if \(9^x - x^4 = 65\), given that x is a positive integer.
(a) 1
(b) 2
(c) 3
(d) 4
Maths
Number Systems
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
If the linear equation (3a - 12)x + b + 7 = 0 has infinitely many solutions for x, what is the value of a + b?
(a) -3
(b) 3
(c) -11
(d) 11
Maths
Linear Equations in Two Variables
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people 1 answers
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by ABHIJEET KUMAR
· Class 9
Find all the positive integers a,b,c,d so that a+b+c+d-3=ab=cd.
Maths
Polynomials
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people 3 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
If the radius of a right circular cylinder is decreased by 20% while its height is increased by 50%, what is the percentage change in its volume?
Maths
Surface Areas and Volumes
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
If the total surface area of a solid cube is numerically equal to its volume, what is the length of the diagonal of this cube?
Maths
Surface Areas and Volumes
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people 0 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
In a moderately asymmetrical distribution of data, if the mean is 24 and the median is 26, what is the empirical value of the mode?
Maths
Statistics
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by GIANSH GUPTA KHUNDKER
· Class 9
Find the area of the triangular region bounded by the line 2x + 3y = 12 and the two coordinate axes (x-axis and y-axis).
Maths
Linear Equations in Two Variables
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people 0 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
For what exact value of the constant k will the pair of linear equations kx + 3y = k - 3 and 12x + ky = k have infinitely many solutions?
Maths
Linear Equations in Two Variables
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
In statistics, the point of intersection of the "less than ogive" and the "more than ogive" for a given grouped data frequency distribution always yields which metric on the horizontal axis?
Maths
Statistics
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
Three unbiased coins are tossed together. What is the probability of obtaining at most two heads?
Maths
Probability
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people 0 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
Two fair dice are rolled simultaneously. What is the probability that the absolute difference between the numbers shown on the two dice is exactly 2?
Maths
Probability
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
A square dartboard has a circle inscribed perfectly inside it. If a dart hits the square board at random, what is the probability that it lands inside the circle?
Maths
Probability
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
If the probability of an impossible event is 0 and a certain event is 1, what is the probability that a leap year selected at random contains exactly 53 Sundays?
Maths
Probability
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people 0 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
A box contains 5 red and 7 blue marbles. If two marbles are drawn at random one after the other without replacement, what is the probability that both are red?
Maths
Probability
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
In quadrilateral ABCD, the bisectors of ∠A and ∠B meet at a point P inside the quadrilateral. If ∠C = 110° and ∠D = 70°, what is the measure of ∠APB?
Maths
Quadrilaterals
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people 0 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
A right circular cylinder has a radius of r units and a height equal to its diameter. A sphere fits tightly inside the cylinder, touching the top, bottom and curved surface. What is the ratio of the volume of the cylinder to the volume of the sphere?
Maths
Quadrilaterals
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people 1 answers
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by GIANSH GUPTA KHUNDKER
· Class 9
Equilateral triangle T has a perimeter that is one-third the perimeter of equilateral triangle S. If one side of triangle S is 9 inches long, what is the length, in inches, of one side of triangle T?
Maths
Constructions
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people 1 answers
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Frequently Asked Questions
What are the Class 9 Maths questions on CREST Ask & Answer?
Multiple-choice questions that CREST students write for other Class 9 students, on topics such as Number Systems, Polynomials, Coordinate Geometry. Anyone can answer them free; the student who wrote the question adds the correct option and an explanation.
How do Practice Points work?
Logged-in students earn +1 for answering a question, +3 for asking one, +1 each time someone answers their question and +1 for each upvote; they lose 1 for each downvote. The first five questions on a topic in a class earn a +5 Pioneer bonus. One point is worth a ₹1 discount on Additional Practice purchases. See the rules for asking and answering.
How else can I prepare for the Class 9 CMO exam?
Student questions are good daily practice, but they are not an exam paper. For the real exam pattern, try the Class 9 sample paper and the Class 9 previous year paper, and check the CMO syllabus.
What happens to a wrong or copied question?
Any logged-in student can press Report on a question. Questions that break the rules, such as wrong answers, copied pictures or keyboard mashing, are taken off and the points they earned are taken back.