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All questions of Surds for Class 10 Exam
If √(X/0.0081) = ∛0.009, what is the value of X?- a)0.729
- b)0.0729
- c)0.000729
- d)0.00729
Correct answer is option 'C'. Can you explain this answer?
If √(X/0.0081) = ∛0.009, what is the value of X?
a)
0.729
b)
0.0729
c)
0.000729
d)
0.00729
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Arizona Academy answered |
To solve √(X/0.0081) = ∛0.009, we find that X = 0.000729 after simplifying the equation.
This means X is a very small number that relates to the cube root of 0.009.
This means X is a very small number that relates to the cube root of 0.009.
What does it mean if a number is called a Surd of order n?- a)The number can be expressed as a perfect square.
- b)It is a rational number.
- c)It cannot be expressed as a whole number.
- d)It is a root of a rational number that cannot be simplified.
Correct answer is option 'D'. Can you explain this answer?
What does it mean if a number is called a Surd of order n?
a)
The number can be expressed as a perfect square.
b)
It is a rational number.
c)
It cannot be expressed as a whole number.
d)
It is a root of a rational number that cannot be simplified.
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Arizona Academy answered |
A Surd of order n is a root of a rational number that cannot be simplified to a rational number itself, confirming its irrational status.
What is the index in the expression 34?- a)3
- b)4
- c)12
- d)1
Correct answer is option 'B'. Can you explain this answer?
What is the index in the expression 34?
a)
3
b)
4
c)
12
d)
1
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Arizona Academy answered |
The index in the expression 34 is 4, indicating that 3 is multiplied by itself four times.
What is the simplified value of √(9 + √(604 + √(424 + √(273 + √256))))?- a)8
- b)6
- c)5
- d)7
Correct answer is option 'B'. Can you explain this answer?
What is the simplified value of √(9 + √(604 + √(424 + √(273 + √256))))?
a)
8
b)
6
c)
5
d)
7
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Arizona Academy answered |
The expression simplifies to √36, which equals 6. This involves several steps of simplification through nested square roots.
Calculate the expression 252.7 × 54.2 ÷ 55.4. What is the result?- a)54
- b)53.2
- c)54.1
- d)54.2
Correct answer is option 'D'. Can you explain this answer?
Calculate the expression 252.7 × 54.2 ÷ 55.4. What is the result?
a)
54
b)
53.2
c)
54.1
d)
54.2
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Arizona Academy answered |
The calculation simplifies to 54.2 after proper arithmetic operations. This shows the importance of handling decimal multiplication and division accurately.
What is a Surd in mathematics?- a)A rational number that can be expressed as a fraction.
- b)The roots of quantities that can be exactly obtained.
- c)The roots of quantities that cannot be exactly obtained.
- d)A whole number that is a perfect square.
Correct answer is option 'C'. Can you explain this answer?
What is a Surd in mathematics?
a)
A rational number that can be expressed as a fraction.
b)
The roots of quantities that can be exactly obtained.
c)
The roots of quantities that cannot be exactly obtained.
d)
A whole number that is a perfect square.
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Arizona Academy answered |
A Surd is defined as the root of a quantity that cannot be expressed as a rational number. Examples include √3 and 2√5.
Surds are important in mathematics because they represent irrational numbers that cannot be simplified further.
Surds are important in mathematics because they represent irrational numbers that cannot be simplified further.
What is the result of (625)0.16 × (625)0.09?- a)125
- b)25
- c)6.25
- d)5
Correct answer is option 'D'. Can you explain this answer?
What is the result of (625)0.16 × (625)0.09?
a)
125
b)
25
c)
6.25
d)
5
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|
Arizona Academy answered |
The expression simplifies to (625)0.25, which equals 5, demonstrating the laws of indices where exponents are added when multiplying like bases.
Which of the following is NOT a Surd?- a)√2
- b)√4
- c)√3
- d)√5
Correct answer is option 'B'. Can you explain this answer?
Which of the following is NOT a Surd?
a)
√2
b)
√4
c)
√3
d)
√5
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Arizona Academy answered |
√4 is not a Surd because it simplifies to a whole number (2). In contrast, √2, √3, and √5 do not simplify further and are thus considered Surds.
What is the law of indices for multiplying powers with the same base?- a)am × an = am+n
- b)am × an = am-n
- c)am × an = amn
- d)am × an = am/n
Correct answer is option 'A'. Can you explain this answer?
What is the law of indices for multiplying powers with the same base?
a)
am × an = am+n
b)
am × an = am-n
c)
am × an = amn
d)
am × an = am/n
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Arizona Academy answered |
The law states that when multiplying powers with the same base, you add the exponents: am × an = am+n.
In the expression 25, what is the base and what is the index?- a)Base: 2, Index: 5
- b)Base: 5, Index: 2
- c)Base: 10, Index: 2
- d)Base: 2, Index: 10
Correct answer is option 'A'. Can you explain this answer?
In the expression 25, what is the base and what is the index?
a)
Base: 2, Index: 5
b)
Base: 5, Index: 2
c)
Base: 10, Index: 2
d)
Base: 2, Index: 10
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|
Arizona Academy answered |
The number 2 is the base, and 5 is the index in the expression 25, which means 2 is multiplied by itself 5 times.
Chapter doubts & questions for Surds - Mathematics for GCSE/IGCSE 2025 is part of Class 10 exam preparation. The chapters have been prepared according to the Class 10 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 10 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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