Podcast
Questions and Answers
What could be the possible one’s digit of the square root of 361?
What could be the possible one’s digit of the square root of 361?
- 6, 7
- 1, 9 (correct)
- 3, 4
- 7, 8
Which of the following statements is false?
Which of the following statements is false?
- Whole numbers are closed under addition
- Integers are closed under addition
- Natural numbers are closed under addition
- Rational numbers are not closed under addition (correct)
The smallest number by which 48 should be multiplied so as to get a perfect square is:
The smallest number by which 48 should be multiplied so as to get a perfect square is:
- 4 (correct)
- 5
- 2
- 3
Which of the following statements is true?
Which of the following statements is true?
The smallest number by which 1000 should be multiplied so as to get a perfect square is:
The smallest number by which 1000 should be multiplied so as to get a perfect square is:
If $10^2 = 100$, then the square root of 100 is:
If $10^2 = 100$, then the square root of 100 is:
Which of the following statements is true?
Which of the following statements is true?
Mithlesh purchased a T.V. for Rs 10000 and sold it for Rs 8000. What is her loss percentage?
Mithlesh purchased a T.V. for Rs 10000 and sold it for Rs 8000. What is her loss percentage?
What is the measure of a regular polygon if its exterior angle is 24°?
What is the measure of a regular polygon if its exterior angle is 24°?
What is the area of a rectangle with lengths 3mn and breadths 4np?
What is the area of a rectangle with lengths 3mn and breadths 4np?
If 46656 is asked to be determined whether it is a perfect cube, what is the result?
If 46656 is asked to be determined whether it is a perfect cube, what is the result?
What is the square root of 729 using the Prime Factorisation Method?
What is the square root of 729 using the Prime Factorisation Method?
How many cuboids with dimensions 5 cm, 2 cm, and 5 cm are needed to form a cube?
How many cuboids with dimensions 5 cm, 2 cm, and 5 cm are needed to form a cube?
What will be the total price a customer has to pay for a pair of jeans marked at ₹1450 and two shirts marked at ₹850 each with a discount of 10%?
What will be the total price a customer has to pay for a pair of jeans marked at ₹1450 and two shirts marked at ₹850 each with a discount of 10%?
What is the product of the following pair of monomials: -4p and 7pq?
What is the product of the following pair of monomials: -4p and 7pq?
When multiplying the binomials (y – 8) and (3y – 4), what is the resulting expression?
When multiplying the binomials (y – 8) and (3y – 4), what is the resulting expression?
What is the result of the expression $2p²q² – 3pq + 4.5 + 7pq – 3p²q²$?
What is the result of the expression $2p²q² – 3pq + 4.5 + 7pq – 3p²q²$?
If the measures of two adjacent angles of a parallelogram are in the ratio 3:2, what are their measures?
If the measures of two adjacent angles of a parallelogram are in the ratio 3:2, what are their measures?
What is the cube root of 15625 using prime factorization?
What is the cube root of 15625 using prime factorization?
How many plants does the gardener need to plant in equal rows and columns if he has 1000 plants?
How many plants does the gardener need to plant in equal rows and columns if he has 1000 plants?
What is the probability of rolling a prime number on a standard die?
What is the probability of rolling a prime number on a standard die?
Which is the smallest square number that is divisible by 8, 15, and 20?
Which is the smallest square number that is divisible by 8, 15, and 20?
What is the result of the square root of 7744 using prime factorization?
What is the result of the square root of 7744 using prime factorization?
What is the result of the subtraction $18 - 3p - 11q + 5pq - 2pq² + 5p²q - (4p²q - 3pq + 5pq² - 8p + 7q - 10)$?
What is the result of the subtraction $18 - 3p - 11q + 5pq - 2pq² + 5p²q - (4p²q - 3pq + 5pq² - 8p + 7q - 10)$?
What is the total number of people surveyed regarding their color preferences?
What is the total number of people surveyed regarding their color preferences?
Which color was preferred by the fewest people?
Which color was preferred by the fewest people?
If the preference distribution is considered, what percentage of people preferred Green?
If the preference distribution is considered, what percentage of people preferred Green?
How many more people preferred Blue over Red?
How many more people preferred Blue over Red?
Which color preference accounted for the largest percentage of the total?
Which color preference accounted for the largest percentage of the total?
Study Notes
Section A: True/False & Multiple Choice Questions
- All squares are trapeziums: True
- All rhombuses are kites: True
- The cube of a single-digit number may be a single-digit number: True
- Possible one's digit of the square root of 361: 1, 9
- False statement: Rational numbers are not closed under addition is false.
- Smallest number to multiply 48 to get a perfect square: 3
- True statement: Whole numbers are not associative for subtraction.
- Smallest number to multiply 1000 to get a perfect square: 10
- If 10² = 100, then the square root of 100 is: 10
- True statement: Natural numbers are closed under multiplication.
- Mithlesh's loss percentage on a TV bought for ₹10,000 and sold for ₹8,000: 20%
- Is 46656 a perfect cube?: Yes
- Number of sides of a regular polygon with an exterior angle of 24°: 15
- Probability of getting a red apple (needs image to answer but the question is here)
- Area of a rectangle with sides 3mn and 4np: 12mn²p
- Name of a regular polygon with 3 sides: Equilateral triangle
- Ratio 3:4 as a percentage: 75%
- Product of binomials (y – 8) and (3y – 4): 3y² - 28y + 32
- Ratio 2:3 as a percentage: 66.67% (approximately)
- Product of monomials –4p and 7pq: -28p²q
Section B: Subjective Questions (2 Marks Each)
- Adjacent angles of a parallelogram are equal: Each angle measures 90°.
- Subtraction: 7x² – 4xy + 8y² + 5x – 3y – (5x² – 4y² + 6y – 3) = 2x² - 4xy + 12y² + 5x - 9y +3
- Odd squares: 431 and 7779
- Multiplications: (i) 2x² - 5x -12; (ii) 3x² + 2xy -5y²
- Square roots by prime factorization: (i) 27; (ii) 20
- Subtraction: 2pq(p + q) – 3pq(p – q) = 5pq² - pq²
- Volume of rectangular box: 4x³y⁴
- Product: (a² + b)(a + b²) = a³ + a²b² + ab + b³
Section C: Subjective Questions (3 Marks Each)
- Number of cuboids to form a cube: 10
- Customer's total payment after a 10% discount: ₹2835
- Additions: (i) -p²q² + 4pq + 9; (ii) 2(l² + m² + n² + lm + mn + nl)
- Cube roots by prime factorization: (i) 25; (ii) 24
- Smallest square divisible by 8, 15, and 20: 3600
- Parallelogram unknowns (needs image, but the question is here)
- Square root by division method: (i) 57; (ii) 37
- Parallelogram angles with ratio 3:2: 108°, 72°
- Parallelogram unknowns (needs image, but the question is here)
- Bacteria count increase in 2 hours: 5,16,076 (approximately)
- Probability with a die: (i) a) 1/2, b) 1/2; (ii) 1/6
Section D: Subjective Questions (5 Marks Each)
-
Products: (i) x²y²z²; (ii) -a⁶; (iii) 256y⁶; (iv) 72a²b²c²; (v) -m³np
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Subtractions: (i) 24 – 6p – 2q – 7pq²; (ii) 2ab + 2bc + 2ac -2a -2b -2c
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Minimum extra plants for square arrangement: 24
-
Percentages and numbers of people liking different games: 10% like other games; Cricket: 30 lakh; Football: 15 lakh; Other games: 5 lakh
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Square roots by prime factorization: (i) 88; (ii) 98; (iii) 77; (iv) 96; (v) 23
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Pie chart for color preferences (needs to be drawn, but the data is here)
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Description
Test your understanding of various mathematical concepts with this quiz designed for Class 9. It includes true/false statements, multiple choice questions, and problem-solving tasks. Challenge yourself on topics like geometry, number theory, and probability!
