Podcast
Questions and Answers
What is the HCF of the numbers 17, 23, and 29?
What is the HCF of the numbers 17, 23, and 29?
What is the correct relationship between the product of two numbers and their LCM and HCF?
What is the correct relationship between the product of two numbers and their LCM and HCF?
How many roots does the quadratic equation 4x² - 4x - 1 = 0 have?
How many roots does the quadratic equation 4x² - 4x - 1 = 0 have?
What is the sum of the probabilities P(E) + P(E)?
What is the sum of the probabilities P(E) + P(E)?
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When will the roots of a quadratic equation be equal?
When will the roots of a quadratic equation be equal?
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Study Notes
General Instructions
- Questions 1-16 are multiple choice, each worth 1 mark.
- Questions 17-25 are short answer, each worth 2 marks.
- Questions 26-32 are long answer, each worth 3 marks.
- Questions 33-37 are application-based, each worth 5 marks.
Section A (1 x 16 = 16)
- HCF of 17, 23, and 29: 1
- Product of two numbers: LCM × HCF
- Number of zeroes of quadratic equation 4x² - 4x - 1 = 0: 2
- P(E) + P(E): 1
- Roots of a quadratic equation are equal if: b² - 4ac = 0
- Next term in the A.P -5, -1, 3: 7
- 1 + tan²θ: sec²θ
- Pythagorean theorem (8)² + (15)²: (17)²
- Line intersecting a circle in two points: secant line
- Volume of a cylinder: πr²h
- nth term of an A.P.: a + (n-1)d
- Sin A = 3/4, Cosec A: 4/3
- All squares are: congruent
- Tangent to a circle and radius: 90°
- Ratio of volumes of two spheres = 64:27, ratio of surface areas: 16:9
- Sum of roots of polynomial 5y² - 14y + 8: 14/5
Section B (2 x 18 = 36)
- Express 336 as product of prime factors: (Details omitted)
- Distance between Ram's house (6,0) and Shyam's house (0,8): (Details omitted)
- Value of Sin 60° Cos30° + Sin60° Cos60°: (Details omitted)
- Solve the pair of linear equations by substitution method: (Details omitted)
- Roots of √2 x² + 7x + 5√2 = 0: (Details omitted)
- Probability of drawing a red ball from a bag with 3 red and 5 black: 3/8
- Line drawn perpendicular at point of contact to a tangent passes through what?: Centre of the circle
- Area swept by minute hand (length 6cm) from 9:10 to 9:20: (Details omitted)
Section C (3 x 21 = 63)
- Solve the pair of linear equations graphically: (Details omitted)
- Relation between x and y for point (x, y) equidistant from (3,6) and (-3,4): (Details omitted)
- Number of pottery articles produced (total cost ₹90, cost per article 3 more than twice the number produced): (Details omitted)
- Prove that: (Details omitted)
- Area of minor segment and major sector if chord subtends a right angle at centre, radius is 10 cm: (Details omitted)
- Evaluating Cot θ = 7: (Details omitted)
- Two numbers whose sum is 27 and product is 182: (Details omitted)
- Radius of circle if length of tangent from point 5cm from centre is 4 cm: (Details omitted)
Section D (5 x 25 = 125)
- Prove that if a line is parallel to one side of a triangle and intersects the other two sides, it divides them proportionally: (Details omitted)
- Height of a tree if broken part touches ground at 30° angle, distance is 8m: (Details omitted)
- Fixed charges and charge per KM for taxi (if charges for 10km are ₹105 and 15km are ₹155): (Details omitted)
- Total area of a doll in the shape of cone mounted on hemisphere (radius 3.5 cm, total height 15.5 cm): (Details omitted)
- Area of conical and cylindrical portion of a wooden toy rocket (height 26cm (total), conical 6cm, conical diameter 5cm, cylindrical 3cm): (Details omitted)
- Ages of Nuri and Sonu if 5 years ago Nuri was thrice Sonu's age, and 10 years later Nuri will be twice Sonu's age: (Details omitted)
- Modal lifetimes of 225 electrical components (data provided in a table): (Details omitted)
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