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LEVEL 6 TESTS ANSWER BOOKLET MATHEMATICS TEST LEVEL 6 TESTS Ma Paper 2 – calculator allowed First name Middle name Last name Date of birth Day Please circle one Month Boy Year Girl Year group School YOU MAY NEED REMEMBER •• Pens, pencils and a rubber. •• You have 30 minutes to complete this test paper. •• A ruler. •• Try to answer all the questions. •• A pair of compasses. •• Write all your answers and working on the test paper – do not use any rough paper. Marks may be awarded for working. •• A protractor or angle measurer. •• Tracing paper. •• A mirror. •• Check your work carefully. •• Ask your teacher if you are not sure what to do. •• A calculator. © Qualifications and Curriculum Development Agency 2011 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Lisa Nik Kemi You might need to use this formula. Trapezium b Area = 1 (a + b)h 2 height (h) a Page 2 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Instructions You may 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: Show your method For these questions you may get a mark for showing your method. Sourced from SATs-Papers.co.uk Page 3 of 20 http://www.SATs-Papers.co.uk 1 Here is a shaded triangle on a square grid. Draw the new position of the triangle when it is rotated 180° about point A. A (1 mark) 2 The rule to get each number in a sequence is subtract the previous number from 100, then divide the answer by 2 Here is part of the sequence. Write the two missing numbers. 40 30 35 32.5 33.75 (2 marks) Page 4 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 3 Here are two spinners divided into equal parts. 1 1 2 3 2 4 6 3 5 A B Kemi spins the pointers once to get a score on each spinner. Put one tick (ü ) in each row to complete the table below. One row is done for you. more likely on A a score less than 4 more likely on B equally likely on A or B ü an even number a score of 2 a score greater than 1 Sourced from SATs-Papers.co.uk (2 marks) Page 5 of 20 http://www.SATs-Papers.co.uk 4 A farmer has £1200 to buy apple trees and pear trees. Apple trees cost £24.75 each. Pear trees cost £12.50 each. He buys 35 apple trees. How many pear trees can he buy with the money he has left? Show your method (2 marks) Page 6 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 5 This table shows the number of things to eat in five children’s lunch boxes. sandwiches apples bananas fruit bars Lisa 1 2 0 2 Jack 2 0 2 1 Kemi 1 1 0 2 Nik 1 2 1 0 Ben 2 1 2 1 Here is a graph of the information for four of the children. 5 Number of things to eat 0 sandwiches apples bananas fruit bars Which child’s information is missing from the graph? Explain how you know. (1 mark) Sourced from SATs-Papers.co.uk Page 7 of 20 http://www.SATs-Papers.co.uk 6 The flag of Greenland is a rectangle with a circle drawn inside. Here is the same flag rotated. The sketch gives the information you need to draw the flag. 6 units 8 units 18 units Not drawn accurately 7 units 12 units The question is on the next page. Page 8 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Use the correct mathematical equipment to draw accurately the flag of Greenland. Some of the flag is drawn for you. (3 marks) Sourced from SATs-Papers.co.uk Page 9 of 20 http://www.SATs-Papers.co.uk 7 The diagram shows a square of side length 12cm. Inside the square are 8 congruent trapeziums and a shaded square. Not full size 12cm The side length of the shaded square is 6cm. What is the area of one of the trapeziums? Show your method cm2 Page 10 of 20 Sourced from SATs-Papers.co.uk (3 marks) http://www.SATs-Papers.co.uk 8 Work out the missing numbers below. The first one is done for you. The first 5 multiples of 4 add to 60 (because 4 + 8 + 12 + 16 + 20 = 60) The first 3 multiples of add to 60 (1 mark) Now use different numbers to complete the sentence below. The first multiples of add to 60 (1 mark) Sourced from SATs-Papers.co.uk Page 11 of 20 http://www.SATs-Papers.co.uk 9 Here are three questions and answers about bananas. On average, how much does each person pay for bananas in supermarkets? On average, what quantity of bananas does each person eat in one year? Answer: 56p per kg Answer: 10kg The growers Who gets money from the sale of bananas? 3% Answer: The workers’ company 15% 45% 19% Supermarket Transport 18% Importer How much of the money each person pays for bananas in one year goes to the growers? Show your method p Page 12 of 20 Sourced from SATs-Papers.co.uk (2 marks) http://www.SATs-Papers.co.uk 10 Lisa is using trial and improvement to find a solution to this equation. x 2 – 3x = 1 Here are her first few trials. Complete the missing information. When x = 3, x 2 – 3 x = 0 , so this value of x is too small When x = 4, x 2 – 3 x = , so this value of x is too (1 mark) When x = 3.5, x 2 – 3 x = , so this value of x is too (1 mark) What value of x should Lisa try next? x = Explain why you chose that value. (1 mark) Sourced from SATs-Papers.co.uk Page 13 of 20 http://www.SATs-Papers.co.uk 11 Nik uses this graph to change between pounds (£), dollars and euros. dollars euros 150 100 Number of dollars or Number of euros 50 0 0 50 100 150 Number of pounds (£) The questions are on the next page. Page 14 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Use the graph to work out the missing numbers below. The first one is done for you. £70 is about the same as £70 is about the same as 120 dollars is about the same as 120 euros Sourced from SATs-Papers.co.uk is about the same as 84 euros _________ dollars £ _________ (1 mark) _________ dollars (1 mark) Page 15 of 20 http://www.SATs-Papers.co.uk 12 Here are two pieces of information about dogs called German Shepherds. 40 35 30 Average mass (kg) 25 20 15 10 5 0 1 2 3 4 5 6 7 8 9 10 11 12 Age (months) The average mass of an adult German Shepherd is about 35kg. Use both pieces of information to summarise how German Shepherd dogs grow. (2 marks) Page 16 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk END OF TEST Sourced from SATs-Papers.co.uk Page 17 of 20 http://www.SATs-Papers.co.uk DO NOT WRITE ON THIS PAGE Page 18 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk DO NOT WRITE ON THIS PAGE Sourced from SATs-Papers.co.uk Page 19 of 20 http://www.SATs-Papers.co.uk DO NOT WRITE ON THIS PAGE QCDA/11/5453 Optional level 6 tests | Mathematics paper 2 Page 20 of 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk