PYQ Vault

Day 119: CBSE Class 10 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 2 times)

    13
    The solution of the pair of equations x+y=a+bx + y = a + b and ax−by=a2−b2ax - by = a^2 - b^2 is :

    Tap an option to check your answer.

  2. Question 2

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 2 times)

    26
    Half of the difference between two numbers is 2. The sum of the greater number and twice the smaller number is 13. Find the numbers.

  3. Question 3

    Statistics. Asked once: 2023 (same type asked 2 times)

    15
    If the value of each observation of a statistical data is increased by 3, then the mean of the data

    Tap an option to check your answer.

  4. Question 4 (case study, 2 parts)

    Surface Areas and Volumes. Asked once: 2022 (same type asked 2 times)

    A ‘circus’ is a company of performers who put on shows of acrobats, clowns etc. to entertain people started around 250 years back, in open fields, now generally performed in tents. One such ‘Circus Tent’ is shown below. The tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of cylindrical part are 9 m and 30 m respectively and height of conical part is 8 m with same diameter as that of the cylindrical part, then find
    14 (1)
    the area of the canvas used in making the tent;
    14 (2)
    the cost of the canvas bought for the tent at the rate ₹ 200 per sq m, if 30 sq m canvas was wasted during stitching.

  5. Question 5

    Arithmetic Progressions. Asked once: 2023 (same type asked 5 times)

    30
    In an A.P., the sum of the first n terms is given by Sn=6n−n2S_n = 6n - n^2. Find its 30th30^{\text{th}} term.