PYQ Vault

Day 162: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 4 parts)

    Arithmetic Progressions. Asked once: 2024 (same type asked 4 times)

    Treasure Hunt is an exciting and adventurous game where participants follow a series of clues/numbers/maps to discover hidden treasures. Players engage in a thrilling quest, solving puzzles and riddles to unveil the location of the coveted prize. While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forming an A.P. If the number on the nthn^{\text{th}} spot is 20+4n20 + 4n, then answer the following questions to help the players in spotting the clues :
    37 (i)
    Which number is on first spot ?
    37 (ii) (a)
    Which spot is numbered as 112 ?
    37 (ii) (b)
    What is the sum of all the numbers on the first 10 spots ?
    37 (iii)
    Which number is on the (n−2)th(n - 2)^{\text{th}} spot ?

  2. Question 2

    Circles. Asked once: 2023 (same type asked 4 times)

    16
    In the given figure, AC and AB are tangents to a circle centered at O. If ∠COD=120∘\angle COD = 120^\circ, then ∠BAO\angle BAO is equal to :

    Tap an option to check your answer.

  3. Question 3

    Circles. Asked once: 2023 (same type asked 4 times)

    7
    PQ is tangent to a circle centered at O. If the radius of the circle is 5 cm, then the length of the tangent PQ is :

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  4. Question 4

    Coordinate Geometry. Asked once: 2024 (same type asked 4 times)

    2
    Point P divides the line segment joining the points A(4,−5)A(4, -5) and B(1,2)B(1, 2) in the ratio 5:2. Co-ordinates of point P are

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  5. Question 5

    Introduction to Trigonometry. Asked once: 2025 (same type asked 4 times)

    21 (b)
    Evaluate : tan⁡260∘sin⁡260∘+cos⁡230∘\dfrac{\tan^2 60^\circ}{\sin^2 60^\circ + \cos^2 30^\circ}