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Functional Question Higher (Statistics 8)

Beryl enjoys her coffee with two cartons of milk, but will her cup overflow? The coffee machine dispenses 130 milliliters of coffee, while her cups can hold up to 175 milliliters. Each milk carton contains 21 milliliters. Given the measurements are accurate to three significant figures, we need to analyze the maximum combined volume of coffee and milk to determine if Beryl’s cup can hold everything without spilling. Show your working clearly to support your conclusion.

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Functional Question Higher (Statistics 8)

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  1. Functional Question Higher (Statistics 8) For the week beginning ….

  2. A coffee machine dispenses 130 millilitresof black coffee into cups with a capacityof 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons whichcontain 21 millilitres, accurate to thenearest millilitre. Beryl likes milky coffee and always puts2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? You must show your working. (Total 5 marks)

  3. Coffee < 130.5174.5 ≤ cup(20.5 ≤) milk < 21.5 All three inequalities correct B2 One correct B1 B2 - Marks awarded independent of method           Their min cup – their max coffee –2 × their max milk 174.5 – (130.5 + 2 × 21.5) (= 1) M1 – Method mark           No as 1 ml to spare Must show all stages and reach conclusion A1 - Accuracy marks are awarded when following on from a correct method           Logical argument (ft their inequalities) with M1 awarded Strand (ii) Q1 – Quality of written answer [5]

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