Level 4 KS3 Answers 1. Completes all three grids correctly, ie 3

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1 Level 4 KS3 Answers 1. Completes all three grids crectly, ie Completes the first two grids crectly 2 Completes the third grid crectly and gives any two crect entries in the first two grids Completes the third grid crectly, gives any one crect entry in the first grid, makes an err in the right hand entry of the second grid, but follows through crectly to give their product Gives any two crect entries in the first two grids 1 U1 Completes the third grid crectly Gives any one crect entry in the first grid, makes an err in the right hand entry of the second grid, but follows through crectly to give their product [3] Hertfdshire La Schools 1

2 2. (a) Gives two different 3-digit multiples of (b) Gives a 2-digit fact of 100, ie 1 10, 20, Gives a different 2-digit fact of 100 from any 1 credited f the first mark of part (b)! Facts of 100 given that do not have 2 digits, f both marks in part (b) Mark as 0, 1! 2-digit facts of 100 given within fact pairs, f both marks in part (b) Mark as 0, 1 Do not accept: native facts [3] Hertfdshire La Schools 2

3 3. Completes all four entries in the table crectly, ie Total: Completes at least three entries in the table crectly 1 U1 Completes all four entries crectly with some all amounts of money given in pence! F 1m, follow through Where the only err is in the total cost of balloons, f the overall total accept their total cost of balloons [2] 4. Getting There (a) 64 and (b) [4] 5. Patterns on a grid (a) Gives the crect codinates, ie (2, 1) 1 (b) Gives both pairs of codinates in either der 1 (3, 3) (4, 4) (c) Gives both pairs of codinates in either der 1 (16, 16) (17, 17) Hertfdshire La Schools 3

4 (d) Makes a crect decision and gives a crect explanation that 2 shows implies 14 and justifies that 16 me are needed Yes, = 30 There are enough because = 14, 4 4 = 16 and = 30 The next square is 16 tiles (4 by 4 square drawn) and you ve used up 14 of them, so there s just enough You have 16 tiles left and 4 4 = 16; all the tiles are used States implies that the next square uses 16 tiles 1 You need 16 to make the next square Draws a 4 by 4 square with 16 cells 4 4 seen! 16 not justified Accept only if the response makes it clear that exactly 30 tiles are used, f 2m accept Used 14, got another 16 so you will use up all the 30 tiles = 16, so yes you have exactly the crect amount, f 2m 1m, do not accept 14 used, 16 left so yes you can = 16, so yes you have enough States implies that exactly 30 tiles will be used, but does not justify that 16 me are needed You need all 30 There would be no tiles left over It all adds up to 30 Hertfdshire La Schools 4

5 Identifies the pattern of differences +3, +5, +7 U1! 4 by 4 square drawn crectly, but the number of squares increctly processed F 1m, Condone Do not accept their explanation could imply that 7 me squares are needed, ie a total of 21 so yes, there are enough [5] 6. (a) 20, , , equivalent 1! First new term f each sequence crect, with second terms all increct omitted Mark as 0, 0, 1 Hertfdshire La Schools 5

6 (b) Indicates No and gives a crect explanation 1 The most common crect explanations: U1 Show that the rule does not wk f the third term It doesn t wk f the second two numbers, 22 8 = 14 not 18 If it was subtract 8, the last number would be 14 It s 22 4 = 18, not = 4 not 8 Accept minimally acceptable explanation 22 8 = 14 When you take away 8, it should be should be 14 The third number should be It s to 22 is 4 Do not accept incomplete increct explanation 18 is wrong It should be 14 It doesn t wk f 22 and 18 You subtract a different number the second time 8 22 = = 15 State what the crect rule could be It should be divide by 2, then add 7 The rule is add 14 then halve it You take away half as much each time Accept minimally acceptable explanation It s take away 8, then take away 4 8 and 4 You halve what you subtract Hertfdshire La Schools 6

7 Do not accept incomplete increct explanation You subtract a different number each time You subtract 4 The rule is subtract 4 Take away half [4] 7. (a) Indicates a pair of numbers with a sum of 34 1 Indicates a pair of numbers with a product of 10 1 (b) Indicates 12 1 Do not accept remainders other than 0. (c) Indicates Indicates Indicates 16 1 Do not accept remainders other than 0. [6] 8. (a) Claire 1 (b) Gives the names Claire then Tom 1 U1 Accept: unambiguous indication of name, f Claire C [2] 9. Gives a pair of numbers f a and b, such that b = a a = 5 b = 9 a = 1.5 b = 5.5 Do not accept: values embedded = 9 a = b = 9 Gives a pair of numbers f a and b, such that b = a + 4, different from any 1 previously credited U1 [2] Hertfdshire La Schools 7

8 10. What numbers? (a) 3 1 (b) 10 1 Do not accept increct statement, f part (a) n = [2] 11. Recycling rubbish (a) Gives a value between 6 and 16 inclusive 1 Accept value qualified About 10 (b) Indicates only Germany and Nway 1 Accept unambiguous indication N, G [2] Hertfdshire La Schools 8

9 12. Gives five numbers less than Accept numbers repeated on the same spinner! Numbers written outside the spinner on lines between the sections of the spinner Accept provided the pupil s intention is clear! Zero Accept zero as an even number, but not as an odd number Accept zero as a multiple of 3! Native inters Accept numbers of the fm 2n as even, numbers of the fm 2n + 1 as odd and numbers of the fm 3n as multiples of 3, where n is an inter Hertfdshire La Schools 9

10 Gives five numbers with me even numbers than odd numbers ! Section(s) of the spinner left blank F the first mark, do not accept F the second and third marks, accept provided exactly five digits have been given and the statement is satisfied, f the second mark accept , f the third mark accept Hertfdshire La Schools 10

11 Gives five numbers that are not multiples of [3] 13. (a) 10 1 Do not accept: 10% (b) Completes the percentage bar chart crectly, 2 ie 50% labelled No 40% labelled Don t know 10% labelled Yes, with bars in any der No Don t know Yes 0% 20% 40% 60% 80% 100% Indicates sections cresponding to 50%, 40% and 10% but fails to label, 1 labels increctly bars are not continuous???? 0% 20% 40% 60% 80% 100% Shows implies the values 50, 40 and 10 0% 20% 40% 60% 80% 100% Hertfdshire La Schools 11

12 Indicates a crect bar f either Don t know Yes, and labels crectly Accept: unambiguous labelling???? 0% 20% 40% 60% 80% 100%! Lines not ruled accurate Accept provided the pupil s intention is clear [3] 14. (a) Gives A as (0, 6) 1 Gives C as (4, 3) 1! Answers f A and C transposed but otherwise completely crect If this is the only err, ie gives A as (4, 3) and gives C as (0, 6), mark as 0, 1 (b) Indicates point D on the graph at (2, 7) 1! Point inaccurate, not labelled marked only with the letter D Condone any unambiguous indication within 2mm of the crect intersection of the grid [3] 15. (a) Gives a value greater than 62.5, but less than Gives a value greater than 52.5, but less than ! The two values in part (a) transposed but otherwise crect Mark as 0, 1 (b) Indicates the crect point at (34, 72) 1! Inaccurate indication Accept any unambiguous indication within 2mm of the crect intersection of the grid [3] Hertfdshire La Schools 12

13 16. Patterns (a) Shows two rectangles in a pattern with only one line of symmetry, 1 (b) Shows two rectangles in a pattern with rotation symmetry of der 2, 1! Lines of symmetry drawn Igne! Rectangles not shaded Accept only if unambiguous! Edges of rectangles not explicit Pupils may use the edge of the grid not show an edge when the rectangles are adjacent. Accept only if unambiguous! Rectangles placed within the grid but covering only parts of squares Accept provided the pupil s intention is clear, f the first mark, accept Hertfdshire La Schools 13

14 1 Rectangles placed with parts all outside the grid Accept provided the pupil s intention is clear, f the third mark, accept! Rectangles overlapping Accept only if unambiguous, f the third mark, accept Increct size of rectangles Do not treat as a misread, ie do not accept Grid not taken to be part of the pattern [2] 17. Gives the crect numerat, ie Gives the crect numerat, ie Hertfdshire La Schools 14

15 Gives the crect numerat, ie [3] 18. (a) Indicates trapezium, ie 1 Accept unambiguous indication (b) 17 1 [2] 19. Grid shapes (a) B and E in either der 1 Accept shape A given alongside a crect response (b) D and E in either der 1! Responses f parts (a) and (b) transposed but otherwise crect Mark as 0; 1 (c) 30 1 Accept the given shape C excluded me [3] 20. Matchboxes (a) (.0) 1 Accept equivalent fractions decimals Hertfdshire La Schools 15

16 (b) 8 1! Answer of 4 Accept only if it is clearly stated that another 4 boxes are needed, accept 4 me, do not accept 4 [4] 21. Measuring Gives a crect explanation that shows the relationship between the 1 volume of the jug and one litre It s 2 jugs Fill the jug once, pour it in the bucket and fill it again He uses A jug is half a litre Empty into the bucket twice U1 Accept minimally acceptable explanation Fill it twice 500ml 2 Accept jug assumed to be calibrated Put 200ml in the jug, then repeat to give a total of 5 times [1] Hertfdshire La Schools 16