[PDF] 2016 Key Stage 2 Year 6 - Mathematics Papers 1 2 3 Mark Schemes.pdf | Plain Text

Mathematics test mark schemes Paper 1: arithmetic Paper 2: reasoning Paper 3: reasoning 2016 national curriculum tests Key stage 2

Page 2 of 28 Contents 1. Introduction 3 2. Structure of the key stage 2 mathematics test 3 3. Content domain coverage 3 4. Explanation of the mark schemes 5 5. General marking guidance 5 5.1 Applying the mark schemes 5 5.2 General marking principles 6 6. Marking specific types of question: summary of additional guidance 9 6.1 Answers involving money 9 6.2 Answers involving time 10 6.3 Answers involving measures 11 7. Mark schemes for Paper 1: arithmetic 12 8. Mark schemes for Paper 2: reasoning 17 9. Mark schemes for Paper 3: reasoning 22 2016 key stage 2 mathematics test mark schemes

Page 3 of 28 1. Introduction The Standards and Testing Agency (STA) is responsible for the development and delivery of statutory tests and assessments. STA is an executive agency of the Department for Education. The 2016 test is the first assessment of the 2014 national curriculum.\ This test has been developed to meet the specification set out in the test framework for \ mathematics at key stage 2. The test frameworks are on the GOV.UK website at www.gov.uk/sta. A new test and mark scheme will be developed each year. The 2016 key stage 2 tests will be marked by external markers. Scaled score conversion tables are not included in this document. Conversion tables will be produced as part of the standard-setting process. Scaled score conversion tables for the 2016 tests will be published at www.gov.uk/sta in June 2016. The standard-setting process will take place in June 2016. This mark scheme is provided to show teachers and markers how the tests are marked. The pupil examples are based on answers gathered from the test-trialling process. 2. Structure of the key stage 2 mathematics test The key stage 2 mathematics test materials comprise: • Paper 1: arithmetic (40 marks) • Paper 2: reasoning (35 marks) • Paper 3: reasoning (35 marks). 3. Content domain coverage The 2016 test meets the specification set out in the test framework. T\ able 1 sets out the areas of the content domain that are assessed in the test papers. The references are taken from the test framework. A question assessing 4C7, for example, sets out to ‘multiply two-digit and three-digit numbers by a one-digit number using a formal written layout’ and is taken from the year 4 programme of study. 2016 key stage 2 mathematics test mark schemes

Page 4 of 28 Table 1: content domain coverage of the 2016 key stage 2 mathematics test\ Paper 1: arithmeticPaper 2: reasoningPaper 3: reasoning Qu. Content domain reference Qu. Content domain reference Qu. Content domain reference 1 3N2b 1a3N2a 13C1 2 3C2 1b3N2a 2a6N5 3 4C6b 25N2 2b6N5 4 3C1 33C2 34M4b 5 3C2 4a4S1 4a6A2 6 3C7 4b5S1 4b6A2 7 5C2 55C5c 55F8 8 3C1 64G2c 64F10b 9 3C7 7a6F2 7a4G4 10 4C7 7b6F2 7b4G4 11 3C7 85F10 86C8 12 5C6a 93M9a 9a5S1 13 5C6b 103F2 9b5S1 14 5F8 115M9c 105M8 15 5C7b 12a6A2 116C7a 16 5F8 12b6A2 124P2 17 5F8 136R1 135F10 18 5C2 146C5 14a6M5 19 6C9 155M5 14b6M5 20 6F9a 16a6N2 155N4 21 4F8 16b 6N2 166R4 22 4C6b 17a6G4b 176M7b 23 5C7a 17b6G4a 186G2a 24 4F4 186C8 196N6 25 6R2 196C8 205F10 26 6F9b 206P2 216C8 27 5F4 28 6C7b 29 6R2 30 6C7a 31 6F4 32 6C7b 33 6F5b 34 5F5 35 6F4 36 6C9 2016 key stage 2 mathematics test mark schemes

Page 5 of 28 4. Explanation of the mark schemes The marking information for each question is set out in the form of tabl\ es (sections 7, 8 and 9) . The purpose of the mark scheme is to define the acceptable answers for\ each question within the test. Answers other than those listed may be acceptable if they meet\ the marking criteria. The ‘Qu.’ column on the left-hand side of each table provides a quick reference to the question number and part. The ‘Requirement’ column may include two types of information: • a statement of the requirements for the award of each mark, with an indication of whether credit can be given for a correct method • examples of some different types of correct answer. The ‘Mark’ column indicates the total number of marks available for each quest\ ion part. The ‘Additional guidance’ column indicates alternative acceptable answers and guidance, such as the range of acceptable answers, where necessary. This column may also provide details of specific types of answer which are unacceptable. For most questions, however, there will be unacceptable answers that are not listed. 5. General marking guidance 5.1 Applying the mark schemes To ensure consistency of marking, the most frequent procedural queries are listed in section 5.2 along with the action the marker will take. This is followed by furt\ her guidance on pages 9 to 11 relating to marking questions involving money, time and other measures. Unless otherwise specified in the mark scheme, markers will apply these guide\ lines in all cases. Recording marks awarded Marking will take place on-screen with markers viewing scanned images of pupils’ tests. Marks will be entered into the marking system in accordance with the guidance for the on-screen marking software. For each question, markers will record the award 3, 2, 1 or 0 as appropriate, according to the mark-scheme criteria. There will be provision in the software to record questions not attempted. The software will aggregate marks automatically. 2016 key stage 2 mathematics test mark schemes

Page 6 of 28 5.2 General marking principles Table 2: General marking principles 1. The pupil’s answer does not match closely any of the examples given in the mark scheme. Markers will use their judgement in deciding whether the answer corresponds with details in the ‘Requirement’ column of the mark scheme. Reference will also be made to the ‘Additional guidance’ column. 2. The pupil has answer ed in a non-standard way. Pupils may provide evidence in any form as long as its meaning can be understood. Diagrams, symbols or words are acceptable for explanations or for indicating an answer. 3. The answer in the answer box is wrong due to a misread of numbers (papers 2 and 3 only).A misread occurs when a pupil misreads a number given in the question and consistently uses a different number that does not alter the original intention or difficulty of the question. For example, if ‘243’ is misread as ‘248’, both numbers may be regarded as comparable in difficulty. However, if ‘243’ is misread as ‘245’ or ‘240’, the misread number may be regarded as making the question easier. The misread of a number may affect the award of marks. Where appropriate, detailed guidance will be given in the mark scheme, which markers will follow. If no guidance is given, markers will examine each case to decide whether the mark(s) will be awarded. No marks are awarded if: • it is a ONE-mark question • there is more than one misread number in a question • the mathematics is simplified • it is an explanation question • it is a misread of other information (not numbers). For TWO-mark questions that have a method mark, ONE mark will be awarded if the correct method is correctly followed through with the misread number provided the mathematics has not been simplified. For THREE-mark questions, refer to the additional guidance. 4. No answer is given in the expected place, but the correct answer is given elsewhere. Where a pupil has unambiguously indicated the correct answer, the mark(s) will be awarded. In particular, where a word or number is expected, a pupil may meet the requirement by annotating a graph or labelling a diagram elsewhere in the question. 2016 key stage 2 mathematics test mark schemes

Page 7 of 28 5. The pupil’ s answer is correct, but the wrong working is shown. A correct final answer will be awarded the mark(s). 6. The answer in the answer box is wrong due to a transcription error.A transcription error occurs when a pupil miscopies the correct answer from the end of their working into the answer box. Where appropriate, detailed guidance will be given in the mark scheme, which markers will follow. For questions with no guidance, marks will not be awarded for a transcription error unless the following rules apply: • the wrong answer is due to a transcription error; i.e. ƒ the wrong answer is due to transposed digits in a number (e.g. 243 is written as 423); if so, the mark(s) will be awarded OR ƒ the wrong answer is due to one digit being changed in a number of 4 or more digits (e.g. 2345 is written as 2845); if so, the mark(s) will be awarded • the pupil has continued to give redundant extra working which does not contradict the work already done; if so, the mark(s) will be awarded • the pupil has continued to give redundant extra working which does contradict work already done; if so, the mark(s) will not be awarded. 7. The pupil’ s answer correctly follows through from earlier incorrect work. ‘Follow through’ marks for an answer will only be awarded when specifically stated in the mark scheme. 8. The corr ect answer has been crossed out and not replaced. No marks will be awarded for crossed-out answers or working. 9. Mor e than one answer is given. If all answers given are correct (or a range of answers is given, all of which are correct), the mark(s) will be awarded unless the mark scheme states otherwise. If both correct and incorrect answers are given, no mark(s) will be awarded unless the mark scheme states otherwise. 2016 key stage 2 mathematics test mark schemes

Page 8 of 28 10. The pupil’ s answer is numerically or algebraically equivalent to the answer in the mark scheme. Answers should be given as single values in their simplest form unless the mark scheme states otherwise, e.g. for = 536 − 30, the answer 500 + 6 will not be accepted. Reference will also be made to the ‘Additional guidance’ column to determine if the mark(s) will be awarded. 11. The pupil has used a symbol as a separator of thousands. Markers will only accept the use of a comma as a separator of thousands (either correctly or incorrectly placed). If the digits are in the correct order, the mark(s) will be awarded. If any other symbol is used the mark(s) will not be awarded. 12. The corr ect answer is embedded in the working (papers 2 and 3 only). An embedded answer occurs when a pupil shows the correct answer within their working but then selects the wrong answer from their working as their final answer or leaves the answer box blank. For example, if a pupil shows '2.5 { 6 = 3 { 5' in the last line of their working and writes 5 in the answer box whereas the correct answer is 3, then this will affect the award of marks. Where appropriate, detailed guidance will be given in the mark scheme, which markers will follow. If no guidance is given, markers will examine each case to decide whether the mark(s) will be awarded. For ONE-mark questions, no mark will be awarded. For TWO-mark questions that have a method mark, ONE-mark will be awarded provided the pupil does not give redundant extra working which contradicts work already done. For THREE-mark questions, refer to the additional guidance. 13. The pupil has drawn lines which do not meet at the correct point. Markers will interpret the phrase ‘slight inaccuracies in drawing’ to mean ‘within or on a circle of radius 2 mm with its centre at the correct point’. within the circle - accepted on the circle - accepted outside the circ le - not accepted 2016 key stage 2 mathematics test mark schemes

Page 9 of 28 6. Marking specific types of question: summary of additional guidance 6.1 Answers involving money Accept Do not accept Where the £ sign is given, e.g. �3.20, �7 �3.20 �7 �7.00 Any unambiguous indication of the correct amount, e.g. �3.20p �3 20 pence �3 20 �3-20 �3:20 Incorrect placement of pounds or pence, e.g. �320 �320p Incorrect placement of decimal point or incorrect use or omission of 0 or use of comma as a decimal point, e.g. �3.2 �3 200 �32 0 �3-2-0 �3,20 Where the p sign is given, e.g. 40p p 40p Any unambiguous indication of the correct amount, e.g. �0.40p Incorrect or ambiguous use of pounds or pence or use of comma as a decimal point, e.g. 0.40p �40p �0,40p £ 2016 key stage 2 mathematics test mark schemes

Page 10 of 28 AcceptDo not accept Where no sign is given, e.g. �3.20, 40p �3.20 40p 320p �0.40 Any unambiguous indication of the correct amount, e.g. �3.20p �0.40p �3 20 pence �.40p �3 20 �.40 �3-20 40 �3:20 0.40 3.20 320 3 pounds 20 Incorrect or ambiguous use of pounds or pence or use of comma as a decimal point, e.g. �320 �40 �320p �40p �3.2 0.4 3.20p 0.40p �3,20 0,40p �0,40p 6.2 Answers involving time Accept Do not accept A time interval, e.g. 2 hours 30 minutes 2 hours 30 minutes Any unambiguous, correct indication, e.g. Incorrect or ambiguous time interval or use of comma as a decimal point, e.g. (0)2h 30 (0)2h 30 min (0)2 30 (0)2-30 150 minutes 150 2.5 hours 2 1 2 hours2.30 2,30 230 2.3 2,5 hours 2.3 hours 2.3h 2h 3 2.30 min Digital electronic time, i.e. (0)2:30 (0)2;30 2016 key stage 2 mathematics test mark schemes

Page 11 of 28 AcceptDo not accept A specific time, e.g. 8:40am, 17:20 (0)8:40am (0)8:40 twenty to nine Any unambiguous, correct indication, e.g. (0)8.40 (0)8;40 0840 (0)8 40 (0)8-40 Unambiguous change to 12- or 24-hour clock, e.g. 17:20 as 5:20pm or 17:20pm Incorrect time, e.g. 8.4am 8.40pm Incorrect placement of separators, spaces, etc. or incorrect use or omission of 0 or use of a comma as a decimal point, e.g. 840 8:4:0 8.4 084 8,40 6.3 Answers involving measures Accept Do not accept Where units are given, e.g. 8.6kg kg m l 8.6kg Any unambiguous indication of the correct measurement, e.g. 8.60kg 8.6000kg 8kg 600g Incorrect or ambiguous use of units or use of comma as a decimal point, e.g. 8600kg 8kg 600 8,60kg 8,6000kg If a pupil gives an answer with a unit different to the unit in the answer box, then their answer must be equivalent to the correct answer provided, unless otherwise indicated in the mark scheme. If a pupil leaves the answer box empty but writes the answer elsewhere on the page without any units, then that answer is assumed to have the units given in the answer box an\ d the conditions listed above. 2016 key stage 2 mathematics test mark schemes

Page 12 of 28 7. Mark schemes for Paper 1: arithmetic Qu.Requirement MarkAdditional guidance 1 1,087 1m 2 350 1m 3 326 1m 4 459 1m 5 1,221 1m 6 19 1m 7 97,637 1m 8 405 1m 9 24 1m 10 2,637 1m 11 568 1m 12 3,500 1m 13 41,200 1m 14 9.125 1m 15 162 1m 16 42.294 1m 17 53.18 1m 18 110,457 1m 19 19 1m 20 0.09 1m 21 2.85 1m 22 110 1m 2016 key stage 2 mathematics test mark schemes

Page 13 of 28 Qu.Requirement MarkAdditional guidance 23 Award TWO marks for the correct answer of 3,266 Up to 2m If the answer is incorrect, award ONE mark for the formal method of long multiplication with no more than ONE arithmetical error, e.g. • 71 � 46 426 2840 3260 (error) OR • 71 � 46 426 2440 (error) 2866 Working must be carried through to reach a final answer for the award of ONE mark. Do not award any marks if the error is in the place value, e.g. the omission of the zero when multiplying by tens: 71 × 46 426 284 (place value error) 710 24 1 2 7 OR 9 7 1m Accept equivalent fractions or the exact decimal equivalent, e.g. 1.285714 (accept any unambiguous indication of the recurring digits). Do not accept rounded or truncated decimals. 25 360 1mDo not accept 360% 26 91.5 1m 27 1 4 1m Accept equivalent fractions or an exact decimal equivalent, e.g. 0.25 2016 key stage 2 mathematics test mark schemes

Page 14 of 28 Qu.Requirement MarkAdditional guidance 28 Award TWO marks for the correct answer of 25 Up to 2m If the answer is incorrect, award ONE mark for the formal methods of division with no more than ONE arithmetical error, i.e. • long division algorithm, e.g. 25r2 29 725  580 (20 { 29) 145 − 116 (4 { 29) 31 (error) − 29 (1 { 29) 2 OR 24(error) 29 725 − 58 (2 { 29) 145 − 145 (5 { 29) 0 Working must be carried through to reach a final answer for the award of ONE mark. • s hort division algorithm, e.g. 2 6 (error) 29 72 145 Short division methods must be supported by evidence of appropriate carrying figures to indicate the use of a division algorithm, and be a complete method. The carrying figure must be less than the divisor. 29 66 1mDo not accept 66% 2016 key stage 2 mathematics test mark schemes

Page 15 of 28 Qu.Requirement MarkAdditional guidance 30 Award TWO marks for the correct answer of 203,794 Up to 2m If the answer is incorrect, award ONE mark for the formal method of long multiplication with no more than ONE arithmetical error, e.g. • 6574 � 31 6574 143790 (error) 150364 OR • 6574 � 31 6574 197220 193794 (error) Working must be carried through to reach a final answer for the award of ONE mark. Do not award any marks if the error is in the place value, e.g. the omission of the zero when multiplying by tens: 6574 × 31 6574 19722 (place value error) 26296 31 2 1 10 OR 21 10 1m Accept equivalent fractions or an exact decimal equivalent, e.g. 2.1 Do not accept 1 11 10 2016 key stage 2 mathematics test mark schemes

Page 16 of 28 Qu.Requirement MarkAdditional guidance 32 Award TWO marks for the correct answer of 26 Up to 2m If the answer is incorrect, award ONE mark for the formal methods of division with no more than ONE arithmetical error, i.e. • long division algorithm, e.g. 28r14 43 1118  645 (15 x 43) 573 (error) − 430 (10 x 43) 143 − 129 (3 x 43) 14 OR 25r23 43 1118 − 88 (error)(2 x 43) 238 − 215 (5 x 43) 23 Working must be carried through to reach a final answer for the award of ONE mark. • s hort division algorithm, e.g. 2 5 (error) 43 111 258 Short division methods must be supported by evidence of appropriate carrying figures to indicate the use of a division algorithm, and be a complete method. The carrying figure must be less than the divisor. 33 1 5 1m Accept equivalent fractions or an exact decimal equivalent, e.g. 0.2 34 56 1m 35 11 12 1m Accept equivalent fractions or the exact decimal equivalent e.g. 0.916 (accept any unambiguous indication of the recurring digit). Do not accept rounded or truncated decimals. 36 53 1m 2016 key stage 2 mathematics test mark schemes

Page 17 of 28 8. Mark schemes for Paper 2: reasoning Qu.Requirement MarkAdditional guidance 1a 499 1m 1b 555 1m 2 Award ONE mark for the correct answer as shown: • E B C D A 1m Accept: • �91,500 B �130,500 �131,500 �135,300 3 Award TWO marks for: 1 5 1 + 4 6 4 6 1 5 If the answer is incorrect, award ONE mark for two digits correct. Up to 2m 4a 191,118 1m 4b 48,361 1m 5 Award TWO marks for all four numbers placed correctly as shown: If the answer is incorrect, award ONE mark for three numbers placed correctly. Up to 2m Accept alternative unambiguous indications, e.g. lines drawn from the numbers to the appropriate regions of the diagram. Do not accept numbers written in more than one region, e.g. prime numbers square numbers even numbers 17 16 19 18 OR prime numbers square numbers even numbers 17 16 19 18 16 prime numbers square numbers even numbers 17 16 19 18 2016 key stage 2 mathematics test mark schemes

Page 18 of 28 Qu.Requirement MarkAdditional guidance 6 Diagram completed correctly as shown: mirror line 1m Accept inaccurate drawing, provided the intention is clear. Diagram need not be shaded. Diagram need not include edges drawn along the gridlines, e.g. mirror line 7a 2 3 = 8 12 = 4 6 1m 7b 1m 8 Numbers circled as shown: 0.05 0.23 0.2 0.5 1m Accept alternative unambiguous positive indications, e.g. numbers ticked or underlined. 9 Award TWO marks for the correct answer of 25p Up to 2m Accept for TWO marks, an answer given in the acceptable notation (see page 10 for guidance). If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 168 � 2 = 84 109 − 84 OR • 168 � 6 = 28 3 � 28 = 84 109 − 84 Answer need not be obtained for the award of ONE mark. Accept for ONE mark an answer of 0.25p OR �25p OR �25 as evidence of an appropriate method. 2016 key stage 2 mathematics test mark schemes

Page 19 of 28 Qu.Requirement MarkAdditional guidance 10 Award TWO marks for all three diagrams completed to show three-quarters shaded, e.g. If the answer is incorrect, award ONE mark for two diagrams correct. Up to 2m Accept alternative unambiguous indications of parts shaded. 11 Award TWO marks for the correct answer of 30 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 1.5 kg = 1,500 g 1,500 � 50 Answer need not be obtained for the award of ONE mark. Units must be converted correctly for the award of ONE mark. 12a 53 1m 12b 48 1m 13 Award TWO marks for the correct answer of 119 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 140 � 20 = 7 3 � 7 = 21 140 – 21 OR • 140 � 20 = 7 20 – 3 = 17 17 � 7 Answer need not be obtained for the award of ONE mark. 2016 key stage 2 mathematics test mark schemes

Page 20 of 28 Qu.Requirement MarkAdditional guidance 14 24 AND 48 only 1mNumbers may be given in either order. 15 Award TWO marks for the correct answer of 77 �F Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 86 | 68 = 18 18 � 2 = 9 9 + 68 OR • 86 | 68 = 18 18 � 2 = 9 86 | 9 OR • 86 + 68 = 154 154 � 2 Answer need not be obtained for the award of ONE mark. 16a 9,999,995 1m 16b 5,900,000 1m 17a 160 1m 17b 20 1mIf the answers to a and b are incorrect, award ONE mark if a + b = 180� unless b is between 33� and 37� inclusive, or 90� 18 20 1m 2016 key stage 2 mathematics test mark schemes

Page 21 of 28 Qu.Requirement MarkAdditional guidance 19 Award THREE marks for the correct answer of �111.70 Up to 3m If the answer is incorrect, award TWO marks for: • sight of �90 AND �7.90 AND �13.80 as all multiplication steps completed correctly OR Accept for TWO marks, sight of 9,000p AND 790p AND 1,380p as all multiplication steps completed correctly. • evidence of an appropriate complete method with no more than one arithmetic error, e.g. 7.50 796.90 × 12 ×10 ×2 88.80 79013.80 (error) 88.80 + 7.90 + 13.80 = 110.50 Award ONE mark for evidence of an appropriate complete method. Answer need not be obtained for the award of ONE mark. A misread of a number may affect the award of marks. No marks are awarded if there is more than one misread or if the mathematics is simplified. TWO marks will be awarded if an appropriate complete method with the misread number is followed through correctly. ONE mark will be awarded for: • all multiplication steps completed correctly with the misread number OR • evidence of an appropriate complete method with the misread number followed through correctly with no more than one arithmetic error. 20 ( −10, −40 ) 1m 2016 key stage 2 mathematics test mark schemes

Page 22 of 28 9. Mark schemes for Paper 3: reasoning Qu.Requirement MarkAdditional guidance 1 Award TWO marks for numbers in order as shown: 68 82 96 110 124 138 152 If the answer is incorrect, award ONE mark for two numbers correct. Up to 2m 2a 9 1mDo not accept −9 or 9− 2b −6 1mDo not accept 6− 3 Both clocks ticked, as shown: 03:4502:4509:45 ✓ 21:4514:45 ✓ 1mAccept alternative unambiguous positive indications, e.g. clocks circled or underlined. 4a = 32 1m 4b = 18 1m If the answers to and are incorrect, award ONE mark if + = 50 unless = 25 5 Numbers in order, as shown: 0.098 0.607 0.784.003 5.6 1m 2016 key stage 2 mathematics test mark schemes

Page 23 of 28 Qu.Requirement MarkAdditional guidance 6 Award TWO marks for the correct answer of 1.07 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 1.28 + 1.65 = 2.93 4 − 2.93 OR • 4 − 1.28 = 2.72 2.72 − 1.65 OR • 4 − 1.65 = 2.35 2.35 − 1.28 Accept for ONE mark an answer of 107 metres as evidence of an appropriate method. Answer need not be obtained for the award of ONE mark. 7a c AND e 1mLetters may be given in either order. 7b a AND d 1mLetters may be given in either order. 8 Award TWO marks for the correct answer of 35p OR �0.35 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 50p + 20p + 10p + 10p + 5p = 95p �2.00 − 95p = �1.05 �1.05 � 3 Accept for ONE mark an answer of �35 OR �35p OR 0.35p as evidence of an appropriate method. Answer need not be obtained for the award of ONE mark. 9a 46 1mThe answer is a time interval (see page 10 for guidance). 9b 10:44 1mThe answer is a specific time (see page 11 for guidance). 10 C 1mAccept 18 11 Award TWO marks for the correct answer of 2,970 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method with no more than one arithmetic error, e.g. • 11 � 6 = 66 66 � 45 Do not accept sight of a correct multiplication only, e.g. 11 � 6 � 45, for ONE mark. Misreads are not allowed. 2016 key stage 2 mathematics test mark schemes

Page 24 of 28 Qu.Requirement MarkAdditional guidance 12 The triangle has moved 6 squares to the right and 5 squar es down. 1m 13 Award TWO marks for the correct answer of 15 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 4.5 � 3 = 13.5 13.5 − 6 = 7.5 7.5 � 2 Answer need not be obtained for the award of ONE mark. Misreads are not allowed. 14a 3,600 1mMisreads and transcription errors are not allowed. 14b 1,440 1m 15 Award TWO marks for three boxes completed correctly as shown: Rounded to nearest hundred 20,906 20,900 2,090.6 2,100 209.06 200 If the answer is incorrect, award ONE mark for two boxes correct. Up to 2m 16 Award TWO marks for the correct answer of 3 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • 2.5 � 6 = 15 15 � 5 Answer need not be obtained for the award of ONE mark. Misreads are not allowed. 17 A 1mAccept alternative unambiguous positive indications of the correct triangle, e.g. 2  1 2 or 2.5 2016 key stage 2 mathematics test mark schemes

Page 25 of 28 Qu.Requirement MarkAdditional guidance 18 Award TWO marks for both kite AND square ticked as shown. If the answer is incorrect, award ONE mark for: • kite AND square and not more than one incorrect shape ticked OR • one correct shape only ticked. Up to 2m Accept alternative unambiguous positive indications, e.g. shapes circled. 19 Numbers circled as shown: 200 2,000 5,000 50,000 1m Accept alternative unambiguous positive indications, e.g. numbers ticked or underlined. 20 Award TWO marks for the correct answer of �11.40 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, e.g. • �1.25 + �1.60 = �2.85 �2.85 � 4 Accept for ONE mark an answer of �1,140 OR �1,140p OR �11.4 as evidence of an appropriate method. Answer need not be obtained for the award of ONE mark. 21 An explanation that shows that 5,868 can be made by adding 326 to 17 � 326, e.g. • ‘5542 + 326 = 18 � 326’ • ‘18 � 326 is 326 more than 5,542’ • ‘Because this is the same as 17 � 326 = 5542 so add one more 326 to get the answer’ • ‘You add 326 to 5,542 and your answer will be correct’ • ‘Because you can add 326 to the answer of 17 � 326’ • ‘5542 + 326’. 1m Do not accept an explanation that simply calculates 326 � 18 = 5,868 Do not accept vague or incomplete, or incorrect explanations, e.g. • ‘You could add another 326’ • ‘The difference between 17 and 18 is 1 so you add 326 and that is one more’ • ‘Because if you turn the question around you would see that 17 � 326 = 5542 so all you need to do is times the number one more time' • ‘5,542 + 326 because it is one more’. • 5868 − 326 = 5542 2016 key stage 2 mathematics test mark schemes

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2016 key stage 2 mathematics test mark schemes Paper 1: arithmetic, Paper 2: reasoning and Paper 3: reasoning Print PDF version product code: STA/16/7378/p ISBN: 978-1-78315-937-6 Electronic PDF version product code: STA/16/7378/e ISBN: 978-1-78315-938-3 For more copies Additional printed copies of this booklet are not available. It can be downloaded from www.gov.uk/government/publications. � Crown copyright and Crown information 2016 Re-use of Crown copyright and Crown information in test materials Subject to the exceptions listed below, the test materials on this website are Crown copyright or Crown information and you may re-use them (not including logos) free of charge in any format or medium in accordance with the terms of the Open Government Licence v3.0 which can be found on the National Archives website and accessed via the following link: www.nationalarchives.gov.uk/doc/open-government-licence. When you use this information under the Open Government Licence v3.0, you should include the following attribution: ‘Contains public sector information licensed under the Open Government Licence v3.0’ and where possible provide a link to the licence. Exceptions – third-party copyright content in test materials You must obtain permission from the relevant copyright owners, as listed in the ‘2016 key stage 2 tests copyright report’, for re-use of any third-party copyright content which we have identified in the test materia\ ls, as listed below. Alternatively you should remove the unlicensed third-party copyright content and/or replace it with appropriately licensed material. Third-party content These materials contain no third-party copyright content. If you have any queries regarding these test materials contact the national curriculum assessments he\ lpline on 0300 303 3013 or email assessments@education.gov.uk.