5.02 Direct and inverse proportion 5.02a Direct proportion Solve simple problems involving Solve more formal problems Formulate equations and solve quantities in direct proportion involving quantities in direct problems involving a quantity in including algebraic proportions. proportion (i.e. where). direct proportion to a power or root of another quantity. e.g. Using equality of ratios, if , then or . Recognise that if , where k is a constant, then y is proportional to x. Currency conversion problems. [see also Similar shapes, 9.04c] 5.02b Inverse proportion Solve simple word problems Solve more formal problems Formulate equations and solve involving quantities in inverse involving quantities in inverse problems involving a quantity in proportion or simple algebraic inverse proportion to a power or proportion (i.e. where). proportions. root of another quantity. e.g. speed–time contexts (if Recognise that if , where is a k speed is doubled, time is constant, then y is inversely halved). proportional to x. 5.03 Discrete growth and decay 5.03a Growth and decay Calculate simple interest Solve problems step-by-step Express exponential growth or including in financial contexts. involving multipliers over a given decay as a formula. interval, for example compound e.g. Amount £A subject to interest, depreciation, etc. compound interest of e.g. A car worth £15 000 new 10% p.a. on £100 as depreciating by 30%, 20% . and 15% respectively in three years. Solve and interpret answers in [see also Percentage change, growth and decay problems. 2.03c] [see also Exponential functions, 7.01d, Formulate algebraic expressions, 6.02a] OCR 6 Algebra
5.02 Direct and inverse proportion 5.02a Direct proportion Solve simple problems involving quantities in direct proportion including algebraic proportions. e.g. Using equality of ratios, if , then or . Currency conversion problems. [see also Similar shapes, 9.04c] Solve more formal problems involving quantities in direct proportion (i.e. where). Recognise that if , where k is a constant, then y is proportional to x. Formulate equations and solve problems involving a quantity in direct proportion to a power or root of another quantity. 5.02b Inverse proportion Solve simple word problems involving quantities in inverse proportion or simple algebraic proportions. e.g. speed–time contexts (if speed is doubled, time is halved). Solve more formal problems involving quantities in inverse proportion (i.e. where). Recognise that if , where k is a constant, then y is inversely proportional to x. Formulate equations and solve problems involving a quantity in inverse proportion to a power or root of another quantity. 5.03 Discrete growth and decay 5.03a Growth and decay Calculate simple interest including in financial contexts. Solve problems step-by-step involving multipliers over a given interval, for example compound interest, depreciation, etc. e.g. A car worth £15 000 new depreciating by 30%, 20% and 15% respectively in three years. [see also Percentage change, 2.03c] Express exponential growth or decay as a formula. e.g. Amount £A subject to compound interest of 10% p.a. on £100 as . Solve and interpret answers in growth and decay problems. [see also Exponential functions, 7.01d, Formulate algebraic expressions, 6.02a] OCR 6 Algebra
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