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Ma Year 7 progress test in mathematics YEAR 7 LEVELS Mark schemes for Paper 1, Paper 2 and Mental mathematics 2006 3– 4 2006 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes Contents Introduction 4 General guidance 5 Mark scheme for Paper 1 13 Mark scheme for Paper 2 25 Transcript and mark scheme for the mental mathematics test 39 3 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes Introduction Introduction The test papers will be marked by external markers. The markers will apply the mark schemes in this booklet, which are 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 for Paper 1 and Paper 2 The marking information for questions in the written tests is set out in the form of tables, which start on page 13 (Paper 1) and page 25 (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. The 2006 year 7 progress mathematics tests and mark schemes were developed by the Mathematics Test Development Team at Edexcel. 4 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes 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 speciﬁcally to the marking of questions that involve money, negative numbers, algebra, time or coordinates. Unless otherwise speciﬁed in the mark schemes, markers should apply the following guidelines in all cases. 5 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes 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. 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 × 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 × 27; subtracting the smaller value from the larger in calculations such as 45 – 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. 6 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes What if … The ﬁnal answer is wrong but the correct answer is shown in the working. General guidance Marking procedure 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 If so, award the mark. in questions not testing accuracy, the correct answer has been given but then rounded or truncated If so, award the mark. the pupil has continued to give redundant extra working which does not contradict work already done 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. If so, do not award the mark. Where a question part carries more than one mark, only the ﬁnal mark should be withheld. The pupil’s answer is correct but the wrong working is seen. A correct response should always be marked as correct unless the mark schemes state otherwise. The correct response has been crossed or rubbed out and not replaced. Mark, according to the mark schemes, any legible crossed or rubbed out work that has not been replaced. 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 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 scheme speciﬁcally states otherwise. 7 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes 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 Incorrect or ambiguous indication of the amount eg £320, £320p or £700p The unit, £ or p, is usually printed in the answer space. Where the pupil writes an answer outside the answer space with no units, accept responses that are unambiguous when considered alongside the given units eg with £ given in the answer space, accept 3.20 7 or 7.00 Ambiguous use of units outside the answer space eg with £ given in the answer space, do not accept 3.20p outside the answer space Given units amended eg with £ crossed out in the answer space, accept 320p 700p 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 negative numbers For example: Accept –2 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 2 – 8 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes General guidance Responses involving the use of algebra For example: 2+n n+2 2n n n2 2 Take care ! Do not accept Accept Unambiguous use of a different case or variable eg N used for n x used for n ! Unconventional notation eg n × 2 or 2 × n or n2 or n + n for 2n n × n for n2 n ÷ 2 for n or 1 n 2 2 2 + 1n for 2 + n 2 + 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 + 2 = 32, 3 × 10 + 2 = 32 for x = 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 = n + 2 tiles or tiles = t = n + 2 for t = n + 2 Unambiguous letters used to indicate expressions eg t = n + 2 for n + 2 ! Words or units used within equations or expressions eg n tiles + 2 n cm + 2 Do not accept on their own. Ignore if accompanying an acceptable response. Ambiguous letters used to indicate expressions eg n = n + 2 for n + 2 9 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark schemes General guidance Responses involving time A time interval For example: 2 hours 30 minutes Accept Take care ! Do not accept Any unambiguous indication eg 2.5 (hours), 2h 30 Incorrect or ambiguous time interval eg 2.3(h), 2.30, 2-30, 2h 3, 2.30min ! Digital electronic time ie 2:30 A speciﬁc time For example: 8:40am The unit, hours and/or minutes, is usually printed in the answer space. Where the pupil writes an answer outside the answer space, or crosses out the given unit, accept answers with correct units, unless the question has speciﬁcally asked for other units to be used. 17:20 Accept Do not accept Any unambiguous, correct indication eg 08.40, 8.40, 8:40, 0840, 8 40, 8-40, twenty to nine, 8,40 Incorrect time eg 8.4am, 8.40pm Unambiguous change to 12 or 24 hour clock eg 17:20 as 5:20pm, 17:20pm Incorrect placement of separators, spaces, etc or incorrect use or omission of 0 eg 840, 8:4:0, 084, 84 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 ) x y ( 5, 7 ) ( x = 5, y = 7 ) y x ( 7, 5 ) ( 5x, 7y ) ( 5x, 7y ) ( x – 5, y – 7 ) 10 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk and 1m lost, with no explicit order, then this will be recorded by the m The total marks awarded for a double page will be written in the box bottom of the right-hand page, and the total number of marks obtain 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 a the mental mathematics test). Awarding levels The sum of the marks gained on Paper 1, Paper 2 and the mental mat paper determines the level awarded. Level threshold tables, which sho mark ranges for the award of different levels, will be available on the website www.naa.org.uk/tests from Monday 19 June 2006. NAA will a copy to each school on 30 June 2006. Schools will be notiﬁed of pupils’ results by means of a marksheet, wh be returned to schools by the external marking agency with the pupils scripts. The marksheet will include pupils’ scores on the test papers an levels awarded. 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 2006 Year 7 progress mathematics test mark scheme: Paper 1 Mark scheme for Paper 1 Euro totals Question 1 Correct response 1m 705 1m Additional guidance 1010 Rotating face Question 2 Correct response 1m Indicates the correct orientation of the features on the last face, ie Additional guidance ! Inaccurate indication Accept provided the pupil’s intention is clear ! Additional features added Ignore 13 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Even add Question 3 Correct response 1m Gives a correct explanation Additional guidance ! Explanation contains an incorrect statement Ignore alongside a correct response The most common correct explanations: Show or imply the correct answer to the sum eg 538 + 46 = 584 It should be 585 – 1 Minimally acceptable explanation eg 584 It’s wrong by 1 Incomplete explanation eg 538 + 46 is not 585 Show or imply that Nisha has calculated either 538 + 47 or 539 + 46 eg 538 + 47 = 585 585 – 538 = 47 539 + 46 = 585 585 – 46 = 539 Minimally acceptable explanation eg She added 47 She used 539 Refer to the two numbers added being even, where the answer is odd eg If you add two even numbers the answer is even, but 585 is odd Minimally acceptable explanation eg Even + even = even The ﬁrst two numbers are even, but the answer is odd The answer should be even An odd result is impossible Incomplete explanation eg Even + even It’s an odd answer Show or imply why the last digit in one of the values is incorrect eg 8 + 6 = 14 so it should end in 4 38 + 46 = 84 85 – 46 = 39 85 – 8 ends in 7, not 6 Minimally acceptable explanation eg 8 + 6 = 14 but it ends in a 5 It should end in 4 It ends in 84 Incomplete or incorrect explanation eg 8 + 6 = 14 8 + 6 does not equal 15 It shouldn’t end in a 5 It should end in 6, not 5 U1 14 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Leap year Question 4 Correct response 2m Additional guidance Completes both bars correctly by showing a frequency of 4 for 30 days and 7 for 31, ie For 2m, bars not shaded, or bars indicated solely by shading with no horizontal lines ! Bar not of correct width, or not ruled/accurate Accept provided the pupil’s intention is clear and the height of the bar is within 2mm of the correct height 10 8 6 ! Additional bars indicated For 2m or 1m, accept only if unambiguous eg, do not accept 4 10 2 8 0 29 days 30 days 31 days 6 or 1m Completes one bar correctly 4 or Indicates the correct values 4 and 7 using the vertical scale of the chart, even if the bars are incorrectly shaded or aligned 2 0 29 days 30 days 31 days 15 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 From 98 Question 5 Correct response a 2m Additional guidance Gives all three correct values, ie 108 198 1098 or 1m 1m b Gives any two correct values 980 Buses and trains Question 6 Correct response a 1m 10 10 b 1m 12 55 Additional guidance ! Indication of am or pm Accept provided the time is correct eg, for part (a) accept 10 10am eg, for part (a) do not accept 10 10pm 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Newspapers Question 7 Correct response 1m Additional guidance £ 4.70 U1 Two numbers Question 8 Correct response 1 1 and 12 , in either order 2 2 a 1m Indicates 7 b 1m Indicates 12 Additional guidance Equivalent fractions or decimals 1 1 and 22 , in either order 2 2 17 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Multiplication grids Question 9 Correct response 1m 20 2m Gives four correct whole number values in the correct positions, ie Additional guidance × 8 5 3 24 15 2 16 Response is correct but contains non-integer value(s) Note that values in the left-hand column would be in the ratio 3 : 2, and those in the top row in the ratio 8 : 5 10 or 1m Gives at least one correct value in the correct position in the top row and one correct value in the correct position in the left-hand column eg × 5 3 15 or Gives values that work for two of the given products, provided none of these values is 1 eg × 4 6 24 5 2 10 × 12 7.5 2 24 15 U2 18 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Sequence of numbers Question 10 Correct response a 1m Gives the last value as 925 1m Gives the second to last value as 0 1m b Gives the ﬁrst value as 765 1m Gives the last value as –15 Additional guidance ! Follow through as their 0 – 15 Accept provided this results in a negative number Incomplete processing eg, for the second mark in part (b) 0 – 15 Plants Question 11 Correct response a 1m 60 b 1m 2 c 1m Additional guidance 20 Correct plants indicated eg C and G Relationships Question 12 Correct response 1m 18 1m 20 1m Additional guidance 30 19 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Making a shape Question 13 Correct response 1m Additional guidance 10 Brothers and sisters Question 14 Correct response 2m Additional guidance Places the names John, Gill and Fred in the correct regions, ie Has a sister Has a brother Gill John Amy Fred Unambiguous indication eg J, G and F for John, Gill and Fred ! Name repeated in more than one region Do not accept as a correctly placed name ! Names on the diagram other than those given Ignore ! ‘Amy’ repeated elsewhere on the diagram Ignore or 1m Places any two names in the correct regions 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Properties of a shape Question 15 Correct response 2m Makes all four correct decisions, ie True False Additional guidance ! Unambiguous indication Accept any unambiguous indication but do not accept blanks for false or 1m Makes three correct decisions Finding fractions Question 16 Correct response 1m 4 1m Additional guidance 15 21 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Cost Question 17 Correct response 1m Additional guidance 90 p U1 Coordinates Question 18 Correct response 1m Marks any point on the line x = 4 with a y coordinate greater than 4 eg (4, 5) (4, 6) (4, 4.5) Additional guidance ! Inaccurate indication Accept provided the pupil’s intention is clear 22 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 1 Triangle pattern Question 19 Correct response a 1m Indicates trapezium, ie b 1m Additional guidance Unambiguous indication 17 Parcels Question 20 Correct response 2m Additional guidance 150 or 1m Shows the value 750 or 0.75 or Shows an incorrect reading of the scale but then divides their reading correctly by 5 eg 675 seen, then answer of 135 ! Their reading is not a multiple of 5 Ignore any remainder given, even if incorrect or Indicates the position of 150 on the scale with incorrect or no further interpretation U1 23 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 2006 Year 7 progress mathematics test mark scheme: Paper 2 Mark scheme for Paper 2 Data Question 1 a Correct response 1m Frank Additional guidance Unambiguous indication of name eg F 54 b 1m 168 Gina 25 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Rectangle symmetry Question 2 Correct response 1m Draws the two lines of symmetry in the correct positions on the rectangle eg Additional guidance ! Lines not ruled, accurate or full length Accept provided the pupil’s intention is clear and each line spans at least two squares Additional lines indicated Which one? Question 3 a Correct response 1m Additional guidance Indicates only 4 metres, ie 4 metres b 1m Indicates only –18°C, ie –18°C c 1m Indicates only 3 kilograms, ie 3 kilograms 26 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Ages Question 4 Correct response a 1m 58 b 1m Additional guidance 35 U1 Digital time Question 5 Correct response 1m Additional guidance Indicates the correct time, ie 27 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Hours of sleep Question 6 Correct response a 1m Horse b 1m 5 c 1m 4 Additional guidance ! Unambiguous indication eg, accept Ho eg, do not accept H ! Four circles drawn Condone U1 Odds Question 7 Correct response a 1m 11 b 1m 36 Additional guidance ! For part (a), other odd numbers listed Ignore, provided there is no ambiguity as to which is their answer Follow through as 25 + their (a) Number lines Question 8 Correct response Additional guidance 1m 150 1m 1.5 Equivalent fractions or decimals 0.15 For the second and third marks, follow through 1m For the second and third marks, incorrect notation eg, for the third mark 1 0.1 2 28 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Shaded numbers Question 9 Correct response 1m Indicates No and gives a correct explanation Additional guidance ! Explanation contains an incorrect statement Ignore alongside a correct response The most common correct explanations: Reason generally about odd/even numbers eg Only even numbers are shaded and 35 is odd 35 isn’t divisible by 2, but all the shaded numbers are Minimally acceptable explanation eg They are even It is odd It’s not in the 2 times table Incomplete explanation eg 35 won’t be in a shaded column It goes up in 4s (or 2s) It’s not in the 4 times table Use counting on eg (3, 7, 11,) 15, 19, 23, 27, 31, 35 14 16 18 20 22 24 26 28 30 32 34 36 Minimally acceptable explanation that at least shows or implies that 34 or 36 will be shaded eg 35 will be in the third column Numbers ending in 5 have white squares Keep adding 4 to 11 and you get 35 34 will be shaded, so 35 can’t be 36 is, so 35 can’t be Incomplete explanation eg Just count on U1 29 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Different shapes Question 10 Correct response a 1m D b 1m 1m Unambiguous indication eg, for part (b) Triangle C c Additional guidance Indicates No and gives a correct explanation The most common correct explanations: Refer to at least one of the other shapes having the same area as shape C eg All of the shapes have the same area because they are made from 4 of the same sized tiles Each shape is made from 4 equal triangles Two tiles make a square and all the shapes are made of 2 squares Minimally acceptable explanation eg Same E is the same All 4 All 2 Refer to at least one of the other shapes having an area of 8 squares eg All the shapes have an area of 8 squares Minimally acceptable explanation eg All 8 B is 8 as well Incomplete or incorrect explanation eg 4 tiles B has a bigger area ! Squares taken to be square centimetres eg All 8cm2 Condone Incorrect explanation eg They all have the same area of 16 squares U1 30 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Place value Question 11 a Correct response 1m Gives both correct values in the correct order, ie 3 hundred(s) 4 thousand(s) Additional guidance Unambiguous indication eg 300 4000 ! Response fails to quantify the number of hundreds and thousands Condone eg, accept Hundred(s) Thousand(s) 100(s) 1000(s) Ambiguous spelling eg, for hundred hundredth hundreth b 1m 20 020 Response given in words 31 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Running race Question 12 Correct response 2m Additional guidance Gives all ﬁve correct orders with none incorrect or duplicated eg Finish 1st Finish 2nd Finish 3rd A B C A C B B A C B C A C A B C B A or 1m Gives at least three correct orders with not more than two incorrect or duplicated Shading percentages Question 13 Correct response Additional guidance a 1m 50 Equivalent fractions or decimals b 1m 25 Follow through 32 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Faces of shapes Question 14 Correct response a 1m Additional guidance Completes the row for the cuboid correctly, ie For the ﬁrst mark, zero cell left blank or marked with a dash or cross or similar cuboid 6 1m 0 Completes the row for the triangular prism correctly, ie triangular prism 3 b 1m Square-based pyramid 2 ! Answer of ‘pyramid’ or ‘square pyramid’ Condone U1 Hiring a car Question 15 Correct response a 1m £ 200 b 1m Additional guidance 14 33 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Matching probability Question 16 Correct response 2m Additional guidance Matches all four sentences correctly, ie … 20 Certain … odd ! Sentence matched to more than one description of probability For 2m or 1m, do not accept as a correct match Likely … greater than 3 Even chance … less than 12 Unlikely … multiple of 5 Impossible or 1m Matches at least two sentences correctly 34 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Sea Question 17 a Correct response 1m Fish Additional guidance Unambiguous indication of ﬁsh eg F –20 b 1m 30 –30 35 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Turning pattern Question 18 Correct response 2m Completes both missing sides of the correct triangle, ie Additional guidance ! Lines not ruled or accurate Accept provided the pupil’s intention is clear Additional lines added or 1m Completes a triangle with a base on the thick vertical line in the correct quadrant, even if the vertices are incorrectly positioned eg 36 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: Paper 2 Days in a month Question 19 a Correct response 1m Additional guidance Indicates True and gives a correct explanation eg There are 7 months with 31 days but only 4 months with 30 and 1 month with 28 There are more months with 31 days than 30 days or 28 days so 31 is the mode Minimally acceptable explanation eg Most months have 31 7 of them have 31 More 31s When you count the months, there are more than any of the others Most common There are more with 31 than 30 Incomplete, ambiguous or incorrect explanation eg Mode is the most 7 There are more than any of the others 31 is the most days you can have in a month b 1m 3 37 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 2006 Year 7 progress mathematics test mark scheme: mental mathematics General guidance Transcript and mark scheme for the mental mathematics test General guidance for markers Please note that pupils should not be penalised if they record any information given in the question or show their working. Ignore any annotation, even if in the answer space, and mark only the answer. Accept an unambiguous answer written in the stimulus box, or elsewhere on the page but clearly attributable to the relevant question. General guidance for marking the written tests (pages 5–11) also applies to marking the mental mathematics test. In addition, please apply the following principles unless speciﬁc instructions to the contrary are given in the mark scheme: accept responses in words and/or ﬁgures, eg 7 point 3, 4 hundred accept any unambiguous indication of the correct response from a given list, eg circling, ticking, underlining accept unambiguous misspellings accept units that have been correctly converted to a different unit provided the new unit is indicated. Where units have been given on the answer sheet, do not penalise pupils for writing the units again accept responses with commas as spacers, eg 50,000 but do not accept a point used as a spacer, eg 50.000 39 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Sourced from SATs-Papers.co.uk What number must I add to seventy-three to make one hundred? Multiply six by three. What number is one hundred less than four thousand? How many hours is one hundred and eighty minutes? What number is nought point one more than ﬁve point nine? 2 3 4 5 6 I start by facing north-east. I turn through half a turn. Which direction am I facing now? Look at the rectangle on your answer sheet. What fraction of the rectangle is shaded? 8 9 ‘Now turn over your answer sheet.’ 13 Look at the numbers on your answer sheet. Put a ring round the smallest number. 12 What is the remainder when thirty-two is divided by ﬁve? 11 Look at the shape on your answer sheet. Write down the coordinates of the point marked A. 10 What is two thousand seven hundred and sixty-three rounded to the nearest hundred? Look at the table on your answer sheet. It shows how many boys and girls in a year group study French or German. How many boys study German? 7 ‘For the next group of questions you will have 10 seconds to work out each answer and write it down.’ How many right angles does a square have? 1 For the ﬁrst group of questions you will have 5 seconds to work out each answer and write it down.’ ‘Now we are ready to start the test. Test questions 6 5 4 3 2 1 hours Time: 5 seconds Practice question School Last name First name Mental mathematics test Year 7 mathematics 2006 5.9 180 minutes 4000 73 15 Total marks Pupil answer sheet 6 5 4 3 2 1 13 12 11 10 9 8 7 0 0.3 0 1 2 3 4 5 y 2 A 0.03 ( 1 C Girls Boys 0.4 , 3 39 22 French Time: 10 seconds 5 ) 5 x 0.308 32 0.2 4 B 2763 NE boys 31 36 German 13 12 11 10 9 8 7 2006 Year 7 progress mathematics test mark scheme: mental mathematics 40 http://www.SATs-Papers.co.uk Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk down. The test is ﬁnished.’ e shaded shape drawn on a centimetre square grid. perimeter? ht half a kilogram of cherries. ht two hundred grams of cherries. how many grams of cherries did they buy? ram shows how many pupils had a school dinner or unch on one day. r pupils had a school dinner. pupils had a packed lunch? mber that is a multiple of ten and that is also a multiple of twelve. s pencils in boxes of ten. wenty-eight pupils in a class. boxes do I need to buy so that the pupils have one pencil each? asked his class if they had used a bus to get to school. hart shows the results. more pupils said yes than said no? more money does Mary need to make one pound? 20 19 18 17 16 15 Packed lunch School dinner No Yes g boxes 1 kg 2 cm 200g pupils 28 20 19 18 17 16 15 14 2006 Year 7 progress mathematics test mark scheme: mental mathematics Year 7 progress test in mathematics 2006 Mental mathematics Time: 10 seconds 7 Mark scheme 36 boys Accept value indicated in table 8 South-west Accept unambiguous abbreviations Do not accept West-south or WS 9 Accept equivalent fractions 1 4 Do not accept equivalent decimals or percentages 10 2800 11 Time: 5 seconds ( 2 , 1 ) 1 4 2 27 3 18 4 3900 12 2 5 3 hours 13 0.3 Accept embedded values, eg 73 + 27 Accept embedded values, eg 6 rem 2 0.4 0.03 6 0.308 0.2 6(.0) 42 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2006 Year 7 progress mathematics test mark scheme: mental mathematics Time: 15 seconds 14 40 p 15 4 16 3 boxes 17 Accept reference to a correct remainder, eg 3 boxes 2 left over Any multiple of 60, eg 60, 120 18 9 pupils 19 700 g 20 10 cm 43 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk EARLY YEARS NATIONAL CURRICULUM 5 –16 GCSE GNVQ GCE A LEVEL First published in 2006 NVQ © Qualiﬁcations and Curriculum Authority 2006 OTHER VOCATIONAL QUALIFICATIONS Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher, unless within the terms of licences issued by the Copyright Licensing Agency. 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Qualiﬁcations and Curriculum Authority 83 Piccadilly London W1J 8QA www.qca.org.uk Further teacher packs may be purchased (for any purpose other than statutory assessment) by contacting: QCA Orderline, PO Box 29, Norwich NR3 1GN tel: 08700 606015; fax: 08700 606017 email: orderline@qca.org.uk 270065 Sourced from SATs-Papers.co.uk © Qualiﬁcations and Curriculum Authority 2006 QCA, 83 Piccadilly, London W1J 8QA Order ref: QCA/06/1909 (teacher pack) http://www.SATs-Papers.co.uk