Math Problem Statement

2017 End of Course Mathematics General Exam.pdf

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answer all questions

Solution

I have found various questions and problems from your uploaded file. Here is a list of them categorized by type:

  1. Investment and Compound Interest Problems:

    • Example: Millie invested $3500 at 6.5% per annum, compounded annually for 4 years. Questions ask for total value and interest earned after 4 years.
  2. Statistical Calculations:

    • Example: A set of data like the weights of six containers is given, and questions ask for statistical values such as interquartile range.
  3. Trigonometry Problems:

    • Example: A problem involving two poles where one must calculate distances and angles using trigonometry, including the calculation of wire length connecting poles.
  4. Discount and Payment Problems:

    • Example: Problems involve calculating discounts on an insurance premium, requiring a series of percentage calculations based on different discount conditions.
  5. Depreciation and Salvage Value:

    • Example: A car bought for $19,990 that depreciates at 18% per annum, where you are asked to calculate the salvage value using the declining balance method.

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Math Problem Analysis

Mathematical Concepts

Investment and Compound Interest
Statistical Calculations
Trigonometry
Discounts
Depreciation

Formulas

Compound Interest Formula: A = P(1 + r)^n
Simple Interest Formula: I = Prn
Depreciation Formula: S = V0(1 - r)^n
Trigonometric Ratios: sin(θ), cos(θ), tan(θ)

Theorems

Trigonometric Theorems (Sine Rule, Cosine Rule)
Basic Interest and Discount Theorems

Suitable Grade Level

Grades 9-12