Functional QuestionHigher(Statistics 8)

For the week beginning ….

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)

Coffee < 130.5174.5 ≤ cup(20.5 ≤) milk < 21.5All three inequalities correct B2One correct B1B2 - Marks awarded independent of method

          Their min cup – their max coffee –2 × their max milk174.5 – (130.5 + 2 × 21.5) (= 1)M1 – Method mark

          No as 1 ml to spareMust show all stages and reach conclusionA1 - Accuracy marks are awarded when following on from a correct method

          Logical argument (ft their inequalities) with M1 awardedStrand (ii)Q1 – Quality of written answer[5]