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Mathematics MCQs

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Algebra MCQs1,050 MCQsAverage / Arithmetic Mean MCQs1,039 MCQsNumber System MCQs1,005 MCQsPercentage MCQs1,005 MCQsRatio & Proportion MCQs1,002 MCQsGeometry MCQs1,000 MCQsAnalytical Reasoning MCQs450 MCQsProfit & Loss MCQs398 MCQsNumber Series MCQs390 MCQsAge Problems MCQs250 MCQsHCF and LCM MCQs203 MCQsTime, Speed & Distance MCQs202 MCQsTime & Work MCQs201 MCQsData Interpretation MCQs200 MCQsEquations MCQs200 MCQsMensuration MCQs200 MCQsSimplification MCQs200 MCQsProbability MCQs152 MCQs
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Mathematics

Mathematics MCQs With Answers

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Mathematics Algebra
Which expression is a trinomial?
A. x-9
B. x²+3x+2
C. 6
D. 4x
Correct Answer: B
A trinomial has exactly three terms.
Mathematics Algebra
Which expression is a binomial?
A. 3x²
B. x²+x+1
C. x + 5
D. 7
Correct Answer: C
A binomial has exactly two terms.
Mathematics Algebra
Which of the following is a variable?
A. 3⁄5
B. 12
C. −7
D. x
Correct Answer: D
A variable represents an unknown or changing quantity.
Mathematics Algebra
Which pair contains like terms?
A. 5 and 5x
B. 3x and −8x
C. x² and x
D. 2x and 2y
Correct Answer: B
Like terms have the same variable part and exponents.
Mathematics Algebra
What is the degree of the monomial 6x⁴?
A. 4
B. 1
C. 10
D. 6
Correct Answer: A
The degree is the exponent of the variable.
Mathematics Algebra
How many terms are in 3x² − 5x + 7?
A. 3
B. 2
C. 4
D. 1
Correct Answer: A
The terms are 3x², −5x, and 7.
Mathematics Algebra
In 4a − 9, which term is the constant?
A. a
B. 4a
C. −9
D. 4
Correct Answer: C
A constant term has no variable.
Mathematics Algebra
In the expression 7x + 5, what is the coefficient of x?
A. 12
B. 5
C. 7
D. x
Correct Answer: C
The coefficient is the numerical factor multiplying the variable.
Mathematics Algebra
If a polynomial of degree 4 is multiplied by a nonzero polynomial of degree 3, what is the degree of the product?
A. 4
B. 3
C. 12
D. 7
Correct Answer: D
For nonzero polynomials, degrees add under multiplication: 4+3=7.
Mathematics Algebra
Solve x^3 - 6x^2 + 11x - 6 = 0.
A. x=0,1,6
B. x=1,2,3
C. x=1,2,6
D. x=-1,-2,-3
Correct Answer: B
The cubic factors as (x-1)(x-2)(x-3), so its roots are 1, 2, and 3.
Mathematics Algebra
What is the remainder when P(x)=x^2+3x+5 is divided by x+1?
A. 3
B. 1
C. 5
D. -3
Correct Answer: A
By the Remainder Theorem, the remainder is P(-1)=1-3+5=3.
Mathematics Algebra
If x+2 is a factor of P(x), which statement must be true?
A. P(-2)=1
B. P(0)=2
C. P(-2)=0
D. P(2)=0
Correct Answer: C
By the Factor Theorem, x-a is a factor exactly when P(a)=0; x+2=x-(-2).
Mathematics Algebra
Factor x^3 - 6x^2 + 11x - 6 completely.
A. (x+1)(x+2)(x+3)
B. (x-1)(x+2)(x-3)
C. (x-1)(x-2)(x-3)
D. (x-6)(x^2+1)
Correct Answer: C
The roots are 1, 2, and 3, so the complete factorization is (x-1)(x-2)(x-3).
Mathematics Algebra
If the determinant of a 2×2 matrix is nonzero, the matrix is:
A. A zero matrix
B. Not square
C. Invertible
D. Singular
Correct Answer: C
Nonzero determinant means invertible.
Mathematics Algebra
Which equation represents a direct variation?
A. y=x+5
B. y=5x
C. y=x^2+5
D. y=5/x
Correct Answer: B
Direct variation is y=kx.
Mathematics Algebra
For nonzero x, simplify x^3·x^-5.
A. 1/x^8
B. 1/x^2
C. x^8
D. x^2
Correct Answer: B
Add exponents: -2.
Mathematics Algebra
Solve x^2=49.
A. x=49
B. x=7
C. x=-7
D. x=7 or x=-7
Correct Answer: D
Both 7 and -7 square to 49.
Mathematics Algebra
If f(x)=x^2 and g(x)=x+1, what is (g∘f)(3)?
A. 9
B. 7
C. 16
D. 10
Correct Answer: D
f(3)=9 then g(9)=10.
Mathematics Algebra
If P(6)=0, which must be a factor of P(x)?
A. x - 6
B. x - 7
C. x + 6
D. x + 1
Correct Answer: A
Factor Theorem.
Mathematics Algebra
If P(5)=0, which must be a factor of P(x)?
A. x + 1
B. x + 5
C. x - 5
D. x - 6
Correct Answer: C
Factor Theorem.
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