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Year 10 Christmas 2015 Higher Homework Name_________________________________1)Mo says that he is 24 years old.Use inequalities to write down the error interval of his age due to truncating.[2]2)Two performances of a show are each attended by 175 people, to the nearest 5Work out the maximum possible difference between the numbers of people attending.[3]3) Circle the value that is not a term in the geometric series with nth term 2 × 3n1854152486[1]bThe first four terms of a quadratic sequence are9234575Work out the next two terms of the sequence.[4]4)Here are the first five terms of a sequence.15131197Circle the expression for the nth term of the sequence.2n + 13 n – 217 – 2n15 – 2n[1]5a)Jess measures the height of each student in her year.Which two words describe the data she collects? Circle your answers.PrimarySecondaryDiscreteContinuous [2]6)Arrange the following values in order, starting with the smallest. 0.766%three-quarters[2]7)A doorway is closed by 2 sliding doors.Each sliding door is 60% of the width of the doorway.When the doors are closed they overlap.1233170154305Not drawn accurately00Not drawn accuratelyWhat percentage of the width of the doorway is the overlap?[1]8)40% of the trees in a wood are diseased.75% of the trees in the wood are elms.Work out the least possible percentage of trees in the wood that are diseased elms.[2]9)A square has a side of 8 cmThe area of the square increases by 50%Work out the percentage increase in the length of the side.[4]10)The number of students in a year is250 to 2 significant figures200 to 1 significant figure.How many students could there be?Give all the possible answers.[2]11)Mo says that he is 24 years old.Use inequalities to write down the error interval of his age due to truncating.[1]12) A carton of cream contains 150 ml, to the nearest mlEmma assumes the measurement is exact.She needs 150 ml of cream.Work out the maximum possible percentage error due to her assumption.[3]13)A container holds 12 litres of bubble bath, to the nearest litre.It is used to completely fill bottles that hold 0.25 litres each, to 2 decimal places.Work out how many bottles can definitely be completely filled. You must show your working.[3] ................
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