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:
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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.
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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.
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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.
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Discount and Payment Problems:
- Example: Problems involve calculating discounts on an insurance premium, requiring a series of percentage calculations based on different discount conditions.
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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
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