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Class 11 Index Numbers worksheet

CBSE Social Science. Price relatives, simple and weighted indices, Laspeyres and Paasche, CPI, WPI, IIP and the Sensex, real wages and inflation. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheet

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    An index number measures the relative change in a group of items between:

    1. two people
    2. two subjects
    3. two countries only
    4. a base period and a current period
    Answer

    (d) a base period and a current period

  2. 2.

    In the book, the base period of the CPI for Agricultural Labourers is:

    1. 1978–79
    2. 2011–12
    3. 1986–87
    4. 2012
    Answer

    (c) 1986–87

  3. 3.

    Prices (₹) of four goods: wheat 16 → 15, rice 8 → 10, pulses 13 → 18, tea 25 → 29. Find the simple aggregative price index.

    1. 116.13
    2. 16.13
    3. 86.11
    4. 121.13
    Answer

    (a) 116.13

    Σp1 ÷ Σp0 × 100 = 72 ÷ 62 × 100

Section B · short answer

  1. 4.

    What is an index number?

    Answer

    A statistical device that measures the relative change in a large number of items, like prices, over time.

  2. 5.

    Find Paasche’s price index. wheat: p0 ₹16, p1 ₹22, q1 10; oil: p0 ₹19, p1 ₹24, q1 19; tea: p0 ₹27, p1 ₹36, q1 17.

    Answer

    131.43

    Σp1q1 ÷ Σp0q1 × 100 = 1,288 ÷ 980 × 100

Section C · long answer

  1. 6.

    Distinguish between Laspeyres’ and Paasche’s price indices.

    Answer

    Laspeyres uses base period quantities as weights (Σp1q0 ÷ Σp0q0 × 100); Paasche uses current period quantities (Σp1q1 ÷ Σp0q1 × 100); only the weights differ.

Fresh sheets for your child

In the app, every Index Numbers sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

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