# Class 10 Math Maestros: Conquer The Quiz Challenge!

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Ready to brush up on your math skills? Dive into our Class 10 Math Quiz and put your knowledge to the test! Whether you're solving equations, tackling geometry problems, or mastering algebraic expressions, this quiz has got it all covered. Get ready to tackle questions that will challenge your understanding of key mathematical concepts taught in class 10.

The Class 10 Math Quiz is designed to test your understanding of various mathematical concepts typically covered in the curriculum for 10th-grade students. By taking this quiz, you can assess your problem-solving skills, logical reasoning abilities, and proficiency in applying mathematical formulas Read moreand techniques. This quiz serves as an excellent tool for self-assessment and preparation for exams, including standardized tests and board examinations. It offers a variety of questions ranging from basic to advanced levels, allowing you to gauge your strengths and identify areas that may require further practice and revision. So, grab a pen and paper, and let's see how well you fare in this fun and interactive math quiz!

## Class 10 Math Questions and Answers

• 1.

### Solve for x :   2x + y = 8,    y= - 6

• A.

6

• B.

4

• C.

7

• D.

16

C. 7
Explanation
The given equation is
2x + y = 8,
Plug in  y = - 6
2x-6 = 8
Add 6 on both sides of the equation 2x = 8 + 6 => 14
To get x by itself, divide 2 on both sides of the equation
x = 14/2 = 7

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• 2.

### When a point is observed, the angle formed by the line of sight with the horizontal level where the point being viewed is above the horizontal plane is known as:

• A.

Angle of triangle

• B.

Angle of depression

• C.

Angle of elevation

• D.

None of the these

C. Angle of elevation
Explanation
The elevation angle is formed between the horizontal line and the line of sight.

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• 3.

### The probability of an event can't be ________________.

• A.

Positive

• B.

Negative

• C.

Both A and B

• D.

None of the above

B. Negative
Explanation
The probability of an event can't be negative.

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• 4.

### In a lottery, there are 10 prizes and 20 blanks. What is the probability of getting a prize?

• A.

1/2

• B.

1

• C.

1/3

• D.

1/10

C. 1/3
Explanation
Total outcomes in a lottery ticket = 10 + 20 = 30
P (getting prize) = 10 / 30 = 1 / 3, So 1/3 is a correct answer.

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• 5.

### Given that sin A = 1/2  and cos B= 1/ then the value of (A+B) is :

• A.

30 Degree

• B.

45 Degree

• C.

75 Degree

• D.

15 Degree

C. 75 Degree
Explanation
sin A = sin 30 = 1/2 => A = 30 degree
cos B = cos 45 = 1/ /2 => B = 45 degree
So, A+B => 30 +45 = 75 degree

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• 6.

### The HCF of two numbers, a and b, is 30, while their LCM is 45. What is the value of (a x b)?

• A.

1250

• B.

1255

• C.

1350

• D.

1355

C. 1350
Explanation
HCF (a,b) = 30
LCM (a,b) = 45
We know that, HCF (a,b) x LCM (a,b) = a x b
Thus, a x b => 30 x 45 = 1350

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• 7.

### Which term of the progression 4,9,14,…. is 109?

• A.

12

• B.

18

• C.

20

• D.

22

D. 22
Explanation
tn= a+(n-1)d
109=4+(n-1)5
n=22

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• 8.

### If 1+2+….+k=55, then the value of k is

• A.

10

• B.

11

• C.

12

• D.

13

A. 10
Explanation
Start with the Sum Formula: We begin with the formula for the sum of an arithmetic series, which is given as:
Sn=n/2(a1+an)Sn​=2n​(a1​+an​)
Sn​ represents the sum of the series.
n is the number of terms in the series.
a1​ is the first term of the series.
an​ is the nth term of the series.

Plug in the Known Values: In this problem:
Sn​ is 55 because we want the sum to be equal to 55.
a1​ is 1 because the first term in the series is 1.
So, we have:
55=k/2(1+an)55=2k​(1+an​)

Simplify: Since a1=1, we simplify further:
55=k/2(1+k)

Multiply by 2 to Eliminate Fraction: To get rid of the fraction, we multiply both sides by 2:
110=k(1+k)

Quadratic Equation: We now have a quadratic equation in the form k2+k−110=0

Factor or Use Quadratic Formula: To solve this equation, you can either factor it or use the quadratic formula. Factoring it, we get:
(k+11)(k−10)=0

Solve for k: Set each factor equal to zero and solve for k:
k+11=0 → −11
k−10=0 → k=10

Choose the Positive Solution: Since we're looking for a positive value of k that represents the sum of the series, the value of k is 10.
So, the value of k in the equation 1+2+…+k=55 is 10, which means that the sum of the first 10 positive integers is equal to 55.

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• 9.

### The 10th term of the sequence, whose nth term is (3n-2), is

• A.

28

• B.

42

• C.

35

• D.

32

A. 28
Explanation
To calculate the 10th term, we plug in 10 for n. Thus we will have 3(10) -2 = 30 -2 = 28.

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• 10.

### If cot A = 12/5, then the value of (sin A + cos A) x cosec A is :

• A.

13/5

• B.

17/5

• C.

14/5

• D.

1

B. 17/5
Explanation
(sin A + cos A) x cosec A = 1 + cot A = 1 + 12/5 = 17/5

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