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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-16-HYQ-01
Half-Yearly, Quarterly & Depreciation - Assignment
Chapter: Compound Interest
Topic: Half-Yearly and Quarterly Compounding; Appreciation and Depreciation
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
For half-yearly compounding, the periods are:
  • A.halved
  • B.doubled
  • C.unchanged
  • D.tripled
2.
For quarterly compounding, divide the annual rate by:
  • A.$2$
  • B.$3$
  • C.$4$
  • D.$12$
3.
An increase in value over time is called:
  • A.depreciation
  • B.appreciation
  • C.discount
  • D.loss
4.
A decrease in value over time is called:
  • A.appreciation
  • B.depreciation
  • C.profit
  • D.interest
5.
At $10\%$ p.a. compounded half-yearly, the rate per half-year is:
  • A.$10\%$
  • B.$5\%$
  • C.$2.5\%$
  • D.$20\%$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
For $10\%$ per annum compounded half-yearly, what is the rate per half-year?
7.
For $12\%$ per annum compounded quarterly, what is the rate per quarter?
8.
Does a depreciating machine gain or lose value?
9.
For $1$ year compounded half-yearly, how many periods are there?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the amount on Rs $8000$ at $10\%$ p.a. for $1$ year, compounded half-yearly.
11.
Find the amount on Rs $10000$ at $8\%$ p.a. for $1$ year, compounded quarterly.
12.
A machine worth Rs $50000$ depreciates $10\%$ per year. Find its value after $1$ year.
13.
A town's population of $8000$ grows $5\%$ per year. Find it after $1$ year.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Find the compound interest on Rs $6000$ at $10\%$ per annum for $1$ year, compounded half-yearly.
15.
A car worth Rs $400000$ depreciates at $10\%$ per annum. Find its value after $2$ years.

Answer Key

Section A — Multiple Choice Questions
  1. (B) doubled
  2. (C) $4$
  3. (B) appreciation
  4. (B) depreciation
  5. (B) $5\%$
Section B — Short Answer (2 marks)
  1. $5\%$.
  2. $3\%$.
  3. It loses value.
  4. $2$.
Section C — Short Answer (3 marks)
  1. Rs $8820$.
  2. Rs $10824.32$.
  3. Rs $45000$.
  4. $8400$.
Section D — Long Answer (5 marks)
  1. Rs $615$.
  2. Rs $324000$.
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