[PDF] 2011 Key Stage 2 Year 6 - Mathematics Test Level 6 Paper 1.pdf | Plain Text

LEVEL 6 TESTSANSWER BOOKLETMATHEMATICS TEST MaLEVEL 6 TESTSPaper 1 – calculator not allowedFirst name Middle name Last name Date of birth DayMonthYear Please circle oneBoy Girl Year group SchoolYOU MAY NEEDREMEMBER •Pens, pencils and a rubber. •A ruler. •A pair of compasses. •A protractor or angle measurer. •Tracing paper. •A mirror. •You have 30 minutes to complete this test paper. •You may not use a calculator for any question in this test paper. •Try to answer all the questions. •Write all your answers and working on the test paper – do not use any rough paper. Marks may be awarded for working. •Check your work carefully. •Ask your teacher if you are not sure what to do.© Qualifications and Curriculum Development Agency 2011

Page 2 of 20Kemi Nik Lisab a TrapeziumArea = (a + b)h1 2

Page 3 of 20InstructionsYou may not use a calculator to answer any questions in this test paper. •  Work as quickly and as carefully as you can. •  You have 30 minutes for this test paper. •  If you cannot do one of the questions, go on to the next one.     You can come back to it later, if you have time. •  If you finish before the end, go back and check your work. Follow the instructions for each question carefully.  This shows where you need to put the answer.  If you need to do working out, you can use any space on a page.  Some questions have an answer box like this: For these questions you may get a mark for showing your working.Show your working

Page 4 of 201 Here is information about pupils in a class. • The total number of pupils is 30 • 26 of the pupils do not wear glasses. • A quarter of the pupils who do wear glasses are boys. • There are 2 more boys than girls. Use the information to fill in the missing numbers in the table below.Number who do wear glassesNumber who do not wear glassesTotal Number of boys Number of girls Total30(2 marks)

Page 5 of 202 The shaded shape is a square.0AB( 7, 3 )( 17, 3 )y xNot drawn accuratelyWhat are the coordinates of A and B?A ( , ) B ( , )(2 marks)

Page 6 of 203There are 25 children in the lunch queue, including Nik. Nik says, ‘There are twice as many children in front of me as there are behind me’. How many children are in front of Nik? children(2 marks)Show your working

Page 7 of 20(1 mark) (1 mark)These patterns are drawn on square grids. 1 : In pattern A, the ratio of black squares to grey squares is 1 : 2 What is the ratio of black squares to grey squares in pattern B? What percentage of the new pattern is black? Now look at this new pattern.Pattern APattern B%4

Page 8 of 20Here are three equations.a + b + c = 30a + b = 24a + b + c = 14What are the values of a, b and c ?a = b = c = 5(2 marks)

Page 9 of 20ac ad + bd b(c + d)The diagrams show a rectangle divided into different parts. On each, shade the area represented by the expression. The first one is done for you.cabdcabdcabd6(1 mark) (1 mark)

Page 10 of 20Here are three scatter diagrams, labelled A, B and C. The questions are on the next page.× × × × × × ×× × × ×× × × × × × × Number of computers Number of hours spent watching TV each day× × × × × × × × × × × × × × × × × × Number of hours spent watching TV each day Number of televisions×××× × ×× × × × × × × × × × × × Number of mobile phones Number of hours spent watching TV each dayScatter diagram A Scatter diagram B Scatter diagram C7

Page 11 of 20Scatter diagram B shows that Scatter diagram A shows that Scatter diagram C shows that the more televisions a person has in their home the more hours they spend watching television. Kemi writes: Now complete the sentences below.(1 mark) (1 mark)

Page 12 of 20The diagram shows a pentagon. Each side of the pentagon is the same length. Is the shape a regular pentagon? Circle Yes or No. Work out the size of angle a a = °a150° 150°Not drawn accurately8Explain your answer.Yes / No(2 marks) (1 mark)Show your working

Page 13 of 20The diagram shows four straight lines, A, B, C and D. Draw a horizontal straight line through the point (4, 4) and write its equation.6 x A B C D5 8y A B C D 7 4 3 2 1 0 --1 --1 0 1 2 3 4 5 6 7 89Which line has the equation y = x? Circle A, B, C or D. Which line has the equation x = 4? Circle A, B, C or D.A / B / C / DA / B / C / D(1 mark) (1 mark)

Page 14 of 20Here is a triangle. Tw o of its sides are 4cm and two of its angles are 45° Join dots to make a different triangle. Make only one of its sides 4cm and only one of its angles 45°10(1 mark)

Page 15 of 20Write the missing numbers.= = 16 0 16 00 .1 0.211Here are four numbers. Their mean is 4 and their range is 0 Write four numbers that have a mean of 4 and a range of 44 4 4 4 12(1 mark) (1 mark) (1 mark)

Page 16 of 20A dragon lived in a cave. The dragon doubled in size every day. After 20 days the dragon filled the cave. After how many days did the dragon half-fill the cave? After daysI multiply my number by –5 Tick (✓) the statement below that is true. The answer must be positive. The answer must be negative. The answer could be positive or negative.1314I am thinking of a number that is not zero.Explain how you know.(1 mark) (1 mark)

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Page 20 of 20 QCDA/11/5452 Optional level 6 tests | Mathematics paper 1DO NOT WRITE ON THIS PAGE