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Year 7 progress test in mathematics Ma YEAR 7 LEVELS 2004 3–4 2004 Mark scheme for Paper 1, Paper 2 and Mental mathematics Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme Introduction Introduction The test papers will be marked by external markers. The markers will apply the mark schemes in this booklet, which is provided here to inform teachers. This booklet contains the mark schemes for Paper 1, Paper 2 and the mental mathematics test. Questions have been named so that each one has a unique identifier. The structure of the mark schemes The marking information for questions in the written tests is set out in the form of tables, which start on page 11 (Paper 1) and page 23 (Paper 2) of this booklet. The two columns on the left-hand side of each table provide a quick reference to the question number, question part, and the total number of marks available for that question part. The Correct response column usually includes 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 correct working, and whether the marks are independent or cumulative examples of some different types of correct response, including the most common and the minimum acceptable. The Additional guidance column indicates alternative acceptable responses, and provides details of specific types of response that are unacceptable. Other guidance, such as when ‘follow through’ is allowed, is provided as necessary. Questions with a Using and applying mathematics element are identified in the mark scheme by an encircled U with a number that indicates the significance of using and applying mathematics in answering the question. The U number can be any whole number from 1 to the number of marks in the question. 2 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme General guidance General guidance Using the mark schemes Answers that are numerically equivalent or algebraically equivalent are acceptable unless the mark schemes state otherwise. In order to ensure consistency of marking, the most frequent procedural queries are listed on the following two pages with the prescribed correct action. This is followed by further guidance, relating to marking of questions that involve money, time, algebra, coordinates or negative numbers. Unless otherwise specified in the mark schemes, markers should apply the following guidelines in all cases. 3 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme General guidance What if ... The pupil’s response does not match closely any of the examples given. Markers should use their judgement in deciding whether the response corresponds with the statement of requirements given in the Correct response column. Refer also to the Additional guidance column. The pupil has responded in a non-standard way. Calculations, formulae and written responses do not have to be set out in any particular format. 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 a response. Any correct method of setting out working, however idiosyncratic, is acceptable. Provided there is no ambiguity, condone the continental practice of using a comma for a decimal point. The pupil has made a conceptual error. In some questions, a method mark is available provided the pupil has made a computational, rather than conceptual, error. A computational error is a slip such as writing 4 t 6 = 18 in an otherwise correct long multiplication. A conceptual error is a more serious misunderstanding of the relevant mathematics; when such an error is seen, no method marks may be awarded. Examples of conceptual errors are: misunderstanding of place value, such as multiplying by 2 rather than 20 when calculating 35 t 27; subtracting the smaller digit from the larger in calculations such as 45 m 26 to give the answer 21; incorrect signs when working with negative numbers. The pupil’s accuracy is marginal according to the overlay provided. Overlays can never be 100% accurate. However, provided the answer is within, or touches, the boundaries given, the mark(s) should be awarded. The pupil’s answer correctly follows through from earlier incorrect work. Follow through marks may be awarded only when specifically stated in the mark schemes, but should not be allowed if the difficulty level of the question has been lowered. Either the correct response or an acceptable follow through response should be marked as correct. There appears to be a misreading affecting the working. This is when the pupil misreads the information given in the question and uses different information. If the original intention or difficulty level of the question is not reduced, deduct one mark only. If the original intention or difficulty level is reduced, do not award any marks for the question part. The correct answer is in the wrong place. Where a pupil has shown understanding of the question, the mark(s) should be given. In particular, where a word or number response is expected, a pupil may meet the requirement by annotating a graph or labelling a diagram elsewhere in the question. 4 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme The final answer is wrong but the correct answer is shown in the working. General guidance Where appropriate, detailed guidance will be given in the mark schemes, and must be adhered to. If no guidance is given, markers will need to examine each case to decide whether: the incorrect answer is due to a transcription error in questions not testing accuracy, the correct answer has been given but then rounded or truncated More than one answer is given. The answer is correct but, in a later part of the question, the pupil has contradicted this response. If so, award the mark. the pupil has continued, in the same part of the question, to give redundant extra working which does contradict work already done. The correct response has been crossed (or rubbed) out and not replaced. If so, award the mark. the pupil has continued to give redundant extra working which does not contradict work already done The pupil’s answer is correct but the wrong working is seen. If so, award the mark. If so, do not award the mark. Where a question part carries more than one mark, only the final mark should be withheld. A correct response should always be marked as correct, unless the mark scheme state otherwise. Mark, according to the mark schemes, any legible crossed (or rubbed) out work that has not been replaced. If all answers given are correct or a range of answers is given, all of which are correct, the mark should be awarded unless prohibited by the mark schemes. If both correct and incorrect responses are given, no mark should be awarded. A mark given for one part should not be disallowed for working or answers given in a different part, unless the mark schemes specifically state otherwise. 5 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme General guidance Marking specific types of question Responses involving money For example: £ 3.20 £7 Accept ✓ Do not accept ✓ Any unambiguous indication of the correct amount eg £3.20(p), £3 20, £3,20, 3 pounds 20, £3-20, £3 20 pence, £3:20, £7.00 ✓ The £ sign is usually already printed in the answer space. Where the pupil writes an answer other than in the answer space, or crosses out the £ sign, accept an answer with correct units in pounds and/or pence eg 320p 700p Incorrect or ambiguous use of pounds or pence eg £320, £320p or £700p, or 3.20 or 3.20p not in the answer space Incorrect placement of decimal points, spaces, etc or incorrect use or omission of 0 eg £3.2, £3 200, £32 0, £3-2-0, £7.0 Responses involving time A time interval For example: 2 hours 30 mins Accept ✓ Take care ! ✓ Any unambiguous indication eg 2.5 (hours), 2h 30 Do not accept Incorrect or ambiguous time interval eg 2.3(h), 2.30, 2-30, 2h 3, 2.30min ✓ Digital electronic time ie 2:30 ! The time unit, hours or minutes, is usually printed in the answer space. Where the pupil writes an answer other than in the answer space, or crosses out the given unit, accept an answer with correct units in hours or minutes, unless the question has asked for a specific unit to be used A specific time For example: 8.40 am Accept ✓ ✓ Any unambiguous, correct indication eg 08.40, 8.40, 8:40, 0840, 8 40, 8-40, twenty to nine, 8,40 ✓ Unambiguous change to 12 or 24 hour clock eg 17:20 as 5:20pm, 17:20pm 17:20 Do not accept Incorrect time eg 8.4am, 8.40pm Incorrect placement of separators, spaces, etc or incorrect use or omission of 0 eg 840, 8:4:0, 084, 84 6 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme General guidance Responses involving the use of algebra For example: 2p n n p 2 2 n n n2 2 Accept ✓ ✓ Unambiguous use of a different case or variable eg N used for n x used for n Take care ! Do not accept ! Unconventional notation eg n t 2 or 2 t n or n2 or n p n for 2n n t n for n2 n d 2 for n or 1 n 2 2 2 p 1n for 2 p n 2 p 0n for 2 Within a question that demands simplification, do not accept as part of a final answer involving algebra Accept within a method when awarding partial credit, or within an explanation or general working Embedded values given when solving equations eg in solving 3x p 2 e 32, 3 t 10 p 2 e 32 for x e 10 To avoid penalising the two types of error below more than once within each question, do not award the mark for the first occurrence of each type within each question. Where a question part carries more than one mark, only the final mark should be withheld ✓ Words used to precede or follow equations or expressions eg t e n p 2 tiles or tiles e t e n p 2 for t e n p 2 ✓ Unambiguous letters used to indicate expressions eg t e n p 2 for n p 2 ! Words or units used within equations or expressions eg n tiles p 2 n cm p 2 Do not accept on their own Ignore if accompanying an acceptable response Ambiguous letters used to indicate expressions eg n e n p 2 for n p 2 7 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme General guidance Responses involving coordinates For example: ( 5, 7 ) Accept ✓ Do not accept ✓ Unconventional notation eg ( 05, 07 ) ( five, seven ) Incorrect or ambiguous notation eg ( 7, 5 ) y x ( 7, 5 ) ( 5x, 7y ) ( 5x, 7y ) ( x m 5, y m 7 ) x y ( 5, 7 ) ( x = 5, y=7 ) Responses involving negative numbers For example: m2 Accept ✓ Do not accept To avoid penalising the error below more than once within each question, do not award the mark for the first occurrence of the error within each question. Where a question part carries more than one mark, only the final mark should be withheld Incorrect notation eg 2m 8 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme General guidance Recording marks awarded on the test paper All questions, even those not attempted by the pupil, will be marked with a 1 or a 0 entered in each marking space. Where 2m can be split into 1m gained and 1m lost, with no explicit order, then this will be recorded by the marker as 1 0 The total marks awarded for a double page will be written in the box at the bottom of the right-hand page, and the total number of marks obtained on the paper will be recorded on the front of the test paper. A total of 100 marks is available (40 from Paper 1, 40 from Paper 2 and 20 from the mental mathematics test). Awarding levels The sum of the marks gained on Paper 1, Paper 2 and the mental mathematics paper determines the level awarded. Level threshold tables, which show the mark ranges for the award of different levels, will be available on the QCA website www.qca.org.uk from 21 June 2004. QCA will also send a copy to each school by 2 July 2004. Schools will be notified of pupils’ results by means of a marksheet, which will be returned to schools by the external marking agency with the pupils’ marked scripts. The marksheet will include pupils’ scores on the test papers and the levels awarded. 9 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk BLANK PAGE Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Mark scheme for Paper 1 100 Question 1 Correct response 2m ✓ Unambiguous indication Indicates all correct pairs, ie ! Any number joined to more than one other Do not accept as part of a correct pair 5 95 Additional guidance 15 85 25 75 35 65 45 55 or 1m Indicates at least two correct pairs 11 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Speed limits Question 2 Correct response a 1m 50 b 1m Additional guidance 10 Number grid Question 3 Correct response 1m Additional guidance Gives all three correct values, ie 852 853 854 842 843 844 832 833 834 Total of 50 Question 4 Correct response a 1m 24 b 1m Gives any two numbers that add to 34 eg ■ 17, 17 ■ 14, 20 ■ 1, 33 Additional guidance ✓ Fractions, decimals, a negative number or zero Blank for zero U1 12 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Properties of shape Question 5 Correct response 2m Makes all four correct decisions, ie True False Additional guidance ! Other indication Accept any unambiguous indication but do not accept blanks for false ✓ ✓ ✓ ✓ or 1m Makes three correct decisions Number chains Question 6 a Correct response Additional guidance Gives both correct numbers in the correct order, ie 13 and 16 1m b 1m Gives both correct numbers in the correct order, ie 16 and 32 1m States or implies that the rule is subtract 4 eg ■ Minus four ■ m4 ■ Take away 4 ■ 4 less ■ 4 smaller ✓ Minimally acceptable rule 0 ! Follow through from their rule for the first 1m eg ◆ ◆ ◆ Count down 4 Down in 4s Go backwards 4 Incomplete rule or incorrect notation eg ◆ 4 ◆ Subtract ◆ 4– mark Accept provided their rule was generalised eg, from their rule as ‘halve’ accept ◆ 2 eg, from their rule as ‘4’ do not accept ◆ 4 13 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Which shape? Question 7 Correct response 1m Additional guidance Indicates the correct shape, ie Survey results Question 8 Correct response 2m Draws the results for both tennis and cricket correctly, ie Additional guidance ! Circles not drawn accurately or not shaded Accept provided the pupil’s intention is clear ! Symbols other than circles used football Provided the number of symbols is clearly intended to represent 2 for tennis and 3 for cricket, withhold only one mark eg, for one mark accept tennis cricket ◆ football or 1m Draws the result for either tennis or cricket correctly tennis cricket or Draws an incorrect number of circles for tennis but then follows through to give their correct number of circles for cricket eg ■ 3 circles for tennis, 4.5 circles for cricket ■ 6 circles for tennis, 9 circles for cricket ■ 1 2 1 circle for tennis, 1 circles for cricket U1 14 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Balancing Question 9 Correct response 1m Additional guidance 4 U1 1m ✓ Follow through as their first mark + 2 6 School timetable Question 10 Correct response a 1m 45 b 1m 20 c 1m Additional guidance 7 15 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Missing numbers Question 11 Correct response 1m ✓ Equivalent fractions or decimals 6.2 1m Additional guidance 1.1 Spinners Question 12 Correct response 1m Indicates half of the spinner eg ■ Additional guidance ! Other half not left blank Accept provided unambiguous eg, accept ◆ eg, do not accept ◆ ! Parts of triangles shaded Accept provided the pupil’s intention to shade half of the spinner is clear eg, accept ◆ 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Charity Question 13 Correct response a 1m 40 b 1m Indicates on the diagram the amount £850 eg Additional guidance ■ £ 1000 ! Indication not accurate or diagram not shaded Accept provided the pupil’s intention is clear ! Unconventional indication of half a square Accept provided unambiguous eg, for half a square accept ◆ £ 400 £0 17 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Net Question 14 Correct response 1m Additional guidance ✓ Unambiguous indication Indicates the correct face eg ■ base lid 1m Indicates the correct face eg ■ base lid 18 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Two numbers Question 15 Correct response 1m Additional guidance 3 and 8, either order U1 Which is bigger? Question 16 Correct response 1m Additional guidance Indicates all three correct numbers, ie 1001 999 3 m5 4 3.9 2.72 2.8 19 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Patterns Question 17 Correct response a 1m Gives a correct pattern eg ■ Add 9 ■ p9 ■ Subtract 9 ■ Difference of 9 Additional guidance ✓ Minimally acceptable pattern eg ◆ ◆ ◆ ◆ Up in 9s Down in 9s Take 9 26 p 9 e 35 35 p 9 e 44 44 p 9 e 53 ✓ Two or more steps eg ◆ Add 10 subtract 1 Incomplete pattern or incorrect notation eg ◆ 9 ◆ Add ◆ 9m Separate patterns for tens and units eg ◆ Units m 1, tens p 1 b 1m Joins four numbers vertically aligned ✓ Any unambiguous indication, including more than one correct set joined Missing fractions Question 18 Correct response 1m 1 or equivalent fraction 4 Additional guidance ✓ Decimal fraction 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 1 Triangles Question 19 Correct response 1m 8 Additional guidance ! Triangles indicated on diagram Ignore ! Answer of 8cm (or 8cm2) As this could result from adding the given dimensions, do not accept unless the 8 is supported by further working eg, accept ◆ Answer: 8cm U1 Long jump Question 20 Correct response a 1m 3.96 or equivalent b 1m 0.2 or equivalent 1m 20 Additional guidance ! Follow through Accept follow through as their first mark in part (b) t 100, provided their first mark is not an integer Chocolate Question 21 Correct response 1m 5p 1m 1972 Additional guidance ✓ Unambiguous indication of year eg, for the second mark ◆ 72 1m 1997 and 2002, either order 21 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk BLANK PAGE Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Mark scheme for Paper 2 Beads Question 1 Correct response 1m 24 Additional guidance Incomplete processing eg ◆ 2 t 12 ◆ 12 p 12 Missing numbers Question 2 Correct response 1m 234 1m 351 1m Additional guidance 34 23 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Teachers Question 3 Correct response 1m Additional guidance ✓ Unambiguous indication Dr Rawley eg ◆ ◆ Dr R Dr Coins Question 4 Correct response a 1m Gives the values of four coins that sum to 25p, in any order eg ■ 20p, 2p, 2p, 1p ■ 10p, 5p, 5p, 5p Additional guidance ! Units omitted Condone U1 b 1m Gives the values of five coins that sum to £1.25, but do not include £1, ie 50p, 50p, 10p, 10p, 5p, in any order U1 Baby Question 5 a Correct response 1m Additional guidance Indicates only 3kg, ie ✓ b 1m Indicates only 300 millilitres, ie ✓ 24 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Sales Question 6 Correct response a 1m 8 b 1m 10 Additional guidance ! Reference to money left over Do not accept fractions of vests eg ◆ 10.05 However, accept reference to a remainder, even if incorrect eg ◆ 10 with 10p change ◆ 10 r1 c 2m £ 11.02 or 1m Shows the digits 1102 or Shows the digits 898 or Shows a complete correct method with not more than one error eg ■ 2 t 2.5 p 2 t 1.99 then subtract from 20 ■ 20 m (5 p 3.98) ■ 2 t 2.5 e 5 2 t 1.99 e 2.99 (error) 20 m (2.99 p 5) = £ 12.01 ! For 1m, necessary brackets omitted As this is a level 4 mark, condone eg, accept ◆ 20 m 5 p 3.98 or The only error is to use only one T-shirt and one vest eg ■ £ 15.51 25 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Dice sum Question 7 Correct response 1m Additional guidance Indicates only the values 20 and 1, ie 12 5 20 8 1 Place value Question 8 Correct response 1m Tenths Additional guidance Answer not in words eg ◆ 10ths Area Question 9 a Correct response 1m Gives a correct explanation eg ■ It has six sides ■ It has 6 angles ■ It has 6 corners Additional guidance ✓ Minimally acceptable explanation eg ◆ ◆ ◆ ◆ 6 6 6 6 edges lines points faces Incomplete explanation eg ◆ 6 b 1m 7.5 or equivalent Incorrect notation eg 1 ◆ 7. 2 26 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Area (cont) Question 9 c Correct response 1m Additional guidance Draws a triangle with an area of 2cm2 ! Lines not ruled or accurate Accept provided the pupil’s intention is clear The most common correct drawings: ! Base or perpendicular height not accurate Have integer values for both the base and perpendicular height eg, for base 2, perpendicular height 2 Accept provided the pupil’s intention is clear ■ eg, for base 4, perpendicular height 1 ■ eg, for base 1, perpendicular height 4 ■ Have the base, or the perpendicular height, or both, as a non-integer value, but supporting working shows this is deliberate 1 eg, for base 3, perpendicular height 1 3 ■ eg, for base 2.5, perpendicular height 1.6 ■ 2.5 and 1.6 seen 27 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Equations Question 10 Correct response 1m Additional guidance ! Embedded value or incorrect notation 12 eg a e 12 p 12 e 24 b e 36 m 12 e 24 Penalise only the first occurrence ◆ 1m 36 Ribbon Question 11 Correct response a 1m 4 b 1m Additional guidance £ 1.40 America Question 12 Correct response a 1m 701 b 1m Seattle and New York, either order Additional guidance ✓ Unambiguous indication eg ◆ c 1m 364.8 or equivalent S and NY ✓ Answer of 364 or 365 Angle sizing Question 13 a Correct response 1m Indicates angle b Additional guidance ! Angle measured Accept an answer of 30 p 2° 28 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Angle sizing (cont) Question 13 b Correct response 1m Indicates No and gives a correct explanation Additional guidance ! Incorrect units Condone The most common correct explanations: Qualify why the angles are the same size ✓ Minimally acceptable explanation eg eg, by referring to the amount of turn ■ Both turn the same amount ◆ ◆ ◆ I measured ◆ eg, by measuring (accept 45 p 2°) ■ Both are 45° They fit on top of each other I used tracing paper ◆ eg, by referring to transformation ■ If you flip the first one, it fits onto the second one exactly eg, by referring to enlargement ■ They are the same diagram but one has shrunk ■ If you extend both lines on the first diagram across one square, you get the same picture as the second ◆ ◆ Both go through the diagonal Angles same, triangles different Incomplete explanation eg ◆ Same corners ◆ ◆ ◆ ◆ ◆ ◆ ◆ Address the misconception by explaining that the lengths of the arms are irrelevant eg ■ Just because the arms are longer it doesn’t make it bigger ■ Just because one picture is smaller doesn’t mean the angle is smaller Same turn Markers are the same size Same angles Same size They fit Same picture Same size as boxes on the grid Same distance between the lines Same number of squares ✓ Minimally acceptable explanation eg ◆ ◆ ◆ ◆ ◆ It’s just that the lines are longer It’s just because the lines are different He only thinks that because the line is longer The second diagram is one square bigger It just goes through one extra square ! Explanation does not state that it is referring to a misconception Condone eg, accept ◆ The lines are longer ◆ Different sizes U1 Address the misconception by referring to transformation or enlargement, but focusing on what is different eg ■ It’s just that it’s the other way round ■ It’s just that the angle is turned round ■ It’s just that one is stretched ■ It’s just that one is smaller ■ It’s just that one is bigger ■ It’s just that the shapes are different ✓ Minimally acceptable explanation eg ◆ It’s just that they are different sizes Incomplete explanation eg ◆ It’s the lines ◆ One is small 29 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 3.5 Question 14 Correct response a 1m 50 b 1m 30 c 1m Additional guidance 50 30 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Restaurant Question 15 Correct response a 1m £ 179.40 b 2m 5 or 1m Additional guidance Shows the digits 3225 or Shows the value 2.5 or 4.5, or equivalent or Shows or implies a complete correct method with not more than one error, even if their final answer is not an integer, or is rounded or truncated eg ■ 12.90 p 12.90 p 6.45 p 6.45 p 6.45 p 6.45 p 6.45 e 58.05 ■ 12.90 t 2 e 25.80, 58.05 m 25.80 e 23.75 (error) 23.75 d 6.45 e 3.68 so 3 U1 School bags Question 16 a Correct response 1m Additional guidance Draws a bar on the chart to indicate 2.5 kg, aligned with Rita’s name, ie ! Bar not shaded, or not of correct width, or not ruled or accurate Accept provided the pupil’s intention is clear Rita 0 b 1m 1 2 3 4 11 31 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Turning Question 17 Correct response 2m Makes all four correct decisions, ie ........... ✓ ........... or 1m ✓ ........... Additional guidance ! Indication other than ✓ and used Accept provided unambiguous eg, accept ◆ Y for ✓, N for eg, do not accept ◆ Blank for ........... Makes three correct decisions or Indicates the two shapes that do look the same but makes no decision for the other two shapes, ie ........... ✓ ........... ✓ ........... ........... 32 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Questionnaire Question 18 a Correct response 1m Additional guidance Gives a correct explanation eg ■ She is 18 and that’s neither less than 18 nor more than 18 ■ 18 isn’t less than 18 or more than 18 ■ It says more than or less than 18 but not 18 ■ Alice is in the middle ■ 18 is in between ■ She is over less than and under more than ■ It should say 18 or more ✓ Minimally acceptable explanation Gives a correct phrase that describes all ages that are 18 or over eg ■ 18 or more than 18 years old ■ 18 years old or more ■ 18 + ■ Not less than 18 years old ■ More than 17 ✓ Minimally acceptable phrase eg ◆ ◆ ◆ ◆ She’s not less than or more than 18 She’s neither of them She’s exactly 18 There’s no box to tick for 18 Incomplete explanation eg ◆ It says less than 18 and more than 18 ◆ It doesn’t say 18 ◆ Because she is 18 ◆ She can’t tick either box U1 b 1m eg ◆ ◆ ◆ Greater than or the same (18 implied) Adult Other Non-distinct category eg ◆ 17 years or more 33 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2004 Year 7 progress mathematics test mark scheme: Paper 2 Rectangles Question 19 Correct response 1m Additional guidance Indicates Yes and gives a correct explanation The most common correct explanations: Show that the fraction is eg ■ 1 for both rectangles 3 ✓ Minimally acceptable explanation eg ◆ 1 3 ◆ 1 First rectangle has 6 squares, of 6 e 2 3 Both divided by 3 1 Second rectangle has 12 squares, of 12 = 4 3 ■ ■ 2 is a third of 6, 4 is a third of 12 6 d 3 e 2 and 12 d 3 e 4 Use equivalent fractions eg 2 4 ■ e 6 ■ ✓ Minimally acceptable explanation eg ◆ 12 One is 2 out of 6 and the other is 4 out of 12 1 2 e 3 6 Reason spatially eg ■ The 2nd rectangle is twice the area of the 1st, so twice as much should be shaded and it is ■ Double 6 is 12, double 2 is 4 ✓ Minimally acceptable explanation eg ◆ ◆ Three shaded bits fit in each rectangle You can get two more shaded bits in each ! Incorrect description of units of area Condone eg, accept ◆ First is one square out of 3, second is two squares out of 6 Incomplete explanation eg ◆ In the first there are 2 shaded and in the second there are 4 shaded ◆ The second rectangle is twice the area of the first ◆ The bigger one has twice as much shaded ◆ The second is double the first ◆ The same proportion is shaded in each U1 34 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk BLANK PAGE Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Year 7 progress test in mathematics 2004 Time: 10 seconds Mental mathematics 7 8 1 Accept responses in words or on the shape, provided unambiguous 9 Mark scheme 21 days 2 ( : 00 ) pm Do not accept unless pm is shown Do not accept equivalent presentations, eg 14:00 Time: 5 seconds 1 2 32 4 38 5 200 6 3.5 Do not accept responses given in words 600 m 3 36 806 10 40 11 (5,3) Accept embedded value, eg 62 p 38 e 100 Accept equivalent fractions or decimals Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Time: 10 seconds (continued) 12 13 14 14 cm Time: 15 seconds 15 9 6 cm2 N Accept any unambiguous indication 60 17 17 minutes 18 25 19 16 20 Sourced from SATs-Papers.co.uk 16 12 pupils Accept embedded value, eg 3 t 25 Do not accept incomplete processing eg 18 m 2 http://www.SATs-Papers.co.uk 37 BLANK PAGE Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk BLANK PAGE Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk EARLY YEARS NATIONAL CURRICULUM 5–16 GCSE GNVQ GCE A LEVEL NVQ First published in 2004 © Qualifications and Curriculum Authority 2004 Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher, OTHER VOCATIONAL QUALIFICATIONS unless within the terms of licences issued by the Copyright Licensing Agency. Excerpts may be reproduced for the purpose of research, private study, criticism or review, or by educational institutions solely for educational purposes, without permission, provided full acknowledgement is given. Produced in Great Britain by the Qualifications and Curriculum Authority under the authority and superintendence of the Controller of Her Majesty’s Stationery Office and Queen’s Printer of Acts of Parliament. The Qualifications and Curriculum Authority is an exempt charity under Schedule 2 of the Charities Act 1993. Qualifications and Curriculum Authority 83 Piccadilly London W1J 8QA www.qca.org.uk/ Further teacher packs may be purchased by contacting: QCA Publications, PO Box 99, Sudbury, Suffolk CO10 2SN (tel: 01787 884444; fax: 01787 312950) Order ref: QCA/04/1241 Sourced from SATs-Papers.co.uk 259915 © Qualifications and Curriculum Authority 2004 QCA, Years 7 and 8 Team, 83 Piccadilly, London W1J 8QA http://www.SATs-Papers.co.uk