CBSE Class 10 Mathematics by Pavan | Practice Test to Test Your Knowledge
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CBSE Class 10 Mathematics

CBSE Class 10 Mathematics

Thorough mock test covering Quadratic Equations, Arithmetic Progressions, and Statistics. Features both theoretical understanding and practical problem-solving.

2025-07-16
Pavan Pavan
CBSE Class 10 Mathematics Grade 10

Duration

30 min

Questions

25

Marking

Negative

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Questions Preview

What does the Fundamental Theorem of Arithmetic state?

A
Every composite number can be factorised as a product of primes in a unique way.
B
Every integer is a product of prime numbers.
C
Prime numbers are divisible by any number.
D
Every number can be expressed as a product of its divisors.

What is the significance of Euclid’s division algorithm?

A
It helps in finding the Greatest Common Divisor (GCD) of two numbers.
B
It helps in finding the Least Common Multiple (LCM) of two numbers.
C
It finds the prime factorization of any number.
D
It simplifies rational expressions.

Which of the following is an example of an irrational number?

A
3/5
B
π
C
1/2
D
7

Which method is used to find HCF and LCM in this chapter?

A
Prime factorization method
B
Long division method
C
Binary division method
D
Euclid's algorithm

What happens when a rational number is added to an irrational number?

A
The result is always rational.
B
The result is always irrational.
C
The result is sometimes rational, sometimes irrational.
D
The result is a whole number.

Which of the following numbers is a composite number?

A
7
B
11
C
15
D
5

What is the HCF of 24 and 36?

A
6
B
12
C
18
D
24

Which of the following is a rational number?

A
√2
B
π
C
1/3
D
e

What is the LCM of 8 and 12?

A
24
B
48
C
96
D
144

Which of the following statements about irrational numbers is true?

A
An irrational number can be expressed as a ratio of two integers.
B
The sum of two irrational numbers is always irrational.
C
The product of two irrational numbers is always rational.
D
An irrational number can be written as a finite decimal.

What is the smallest prime factor of 56?

A
2
B
3
C
5
D
7

Which of the following is a prime number?

A
9
B
13
C
21
D
27

Which of the following is an example of a terminating decimal?

A
1/3
B
22/7
C
0.75
D
√2

What is the prime factorization of 120?

A
2 × 2 × 2 × 3 × 5
B
2 × 3 × 4 × 5
C
2 × 3 × 10 × 2
D
3 × 5 × 2 × 2

Which of the following irrational numbers is proved using the Fundamental Theorem of Arithmetic?

A
√2
B
√3
C
√5
D
All of the above

What is the decimal expansion of 1/8?

A
0.125
B
0.250
C
0.5
D
0.375

What is the HCF of 48 and 180?

A
12
B
6
C
24
D
36

Which of the following numbers is a perfect square?

A
50
B
81
C
72
D
100

What is the LCM of 15 and 25?

A
75
B
50
C
125
D
100

Which of the following statements is false?

A
The product of two irrational numbers is always irrational.
B
The difference of two irrational numbers is always irrational.
C
The sum of two rational numbers is always rational.
D
The product of a rational and irrational number is irrational.

What is the prime factorization of 225?

A
3 × 5 × 5
B
3 × 3 × 5 × 5
C
5 × 5 × 5
D
2 × 5 × 5

Which of the following numbers has a non-terminating, repeating decimal expansion?

A
1/2
B
1/3
C
1/4
D
1/5

Which of the following is a characteristic of irrational numbers?

A
They can be expressed as a fraction.
B
Their decimal expansion is non-terminating and non-repeating.
C
They have a terminating decimal expansion.
D
They are whole numbers.

Which of the following is the correct prime factorization of 360?

A
2 × 2 × 2 × 3 × 3 × 5
B
2 × 2 × 3 × 3 × 5
C
3 × 5 × 5
D
2 × 3 × 5

Which of the following is a correct example of applying the Fundamental Theorem of Arithmetic?

A
Writing a number as a product of prime factors.
B
Solving linear equations.
C
Finding the roots of quadratic equations.
D
Performing integration.