PYQ Vault

Day 139: CBSE Class 10 Maths

5 questions (11 parts). Try each one first, then open its answer.

  1. Question 1

    Arithmetic Progressions. Asked once: 2022 (same type asked 5 times)

    1 (b)
    In an AP if Sn=n(4n+1)S_n = n(4n + 1), then find the AP.

  2. Question 2

    Circles. Asked once: 2024 (same type asked 5 times)

    17
    In the given figure, AT is tangent to a circle centred at O. If ∠CAT=40∘\angle CAT = 40^\circ, then ∠CBA\angle CBA is equal to

    Tap an option to check your answer.

  3. Question 3 (case study, 4 parts)

    Surface Areas and Volumes. Asked once: 2024 (same type asked 5 times)

    Tamper-proof tetra-packed milk guarantees both freshness and security. This milk ensures uncompromised quality, preserving the nutritional values within and making it a reliable choice for health-conscious individuals. 500 mL milk is packed in a cuboidal container of dimensions 15 cm ×\times 8 cm ×\times 5 cm. These milk packets are then packed in cuboidal cartons of dimensions 30 cm ×\times 32 cm ×\times 15 cm. Based on the above given information, answer the following questions :
    38 (i)
    Find the volume of the cuboidal carton.
    38 (ii) (a)
    Find the total surface area of a milk packet.
    38 (ii) (b)
    How many milk packets can be filled in a carton ?
    38 (iii)
    How much milk can the cup (as shown in the figure) hold ?

  4. Question 4

    Areas Related to Circles. Asked once: 2024 (same type asked 4 times)

    35
    In the given figure, diameters AC and BD of the circle intersect at O. If ∠AOB=60∘\angle AOB = 60^\circ and OA = 10 cm, then : (i) find the length of the chord AB. (ii) find the area of shaded region. (Take π=3.14\pi = 3.14 and 3=1.73\sqrt{3} = 1.73)

  5. Question 5 (case study, 4 parts)

    Arithmetic Progressions. Asked once: 2025 (same type asked 4 times)

    In an equilateral triangle of side 10 cm, equilateral triangles of side 1 cm are formed as shown in the figure below, such that there is one triangle in the first row, three triangles in the second row, five triangles in the third row and so on. Based on given information, answer the following questions using Arithmetic Progression.
    37 (i)
    How many triangles will be there in bottom most row ?
    37 (ii)
    How many triangles will be there in fourth row from the bottom ?
    37 (iii) (a)
    Find the total number of triangles of side 1 cm each till 8th8^{\text{th}} row.
    37 (iii) (b)
    How many more number of triangles are there from 5th5^{\text{th}} row to 10th10^{\text{th}} row than in first 4 rows ? Show working.