2013+GRADE+6+MATHEMATICS+EXEMPLAR+QUESTIONS+MEMO+2013+ANA

Downloaded from hlayiso.com ANNUAL NATIONAL ASSESSMENT 2013 GRADE 6 MATHEMATICS EXEMPLAR QUESTIONS MEMORANDUM General marking note: 1. Give full marks for answers only, unless otherwise stated. 2. Accept any alternative correct solution that is not included in the memorandum. This memorandum consists of 6 pages. QUESTION EXPECTED ANSWER CLARIFICATION MARKS 1 C ✓ 1 2 35 ✓ 1 3 D ✓ 1 4 D ✓ 1 5 3 4 5 10 10 11 12 14 16 19 20 Median = 11✓ 1 6 D ✓ 1 7 D ✓ 1 8 7 and 6 ✓ 2 9 D ✓ 1 10 D ✓ 1 11 D ✓ 1 12 B ✓ 1 13 0,67 ✓ 1 14 1,19 ✓ 1 15 B ✓ 1 16 37 mm ✓ 3,7 cm ✓ 2 17 C ✓ 1 18 15 ✓ 1 19 1; 2; 3; 4; 6; 8; 12; 24 ✓ 2 20 C ✓ 1 21 B ✓ 1 22 D ✓ 1 23 Square or rhombus ✓ Rectangle or parallelogram ✓ 2 24 Only opposite sides are equal ✓ 1 25 B ✓ 1 26 D ✓ 1 27 Triangular pyramid or tetrahedron ✓ 1 28 39 557 ✓ 1 29 C ✓ 1 Grade 6 Mathematics Exemplar Memorandum 1

Downloaded from hlayiso.com 30 2 010 x (20+4) Accept any method =(2 010 x 10 x 2) + (2 010 x 4) ✓ that is mathematically =40 200 + 8 040 ✓✓ correct. =48 240 ✓ Mark the steps. 4 31 5 ✓ 1 32 37 ✓ 1 33 19 ✓ 1 34 Million or M or 1 000 000 ✓ 1 35 70 000 ✓ 1 36 D ✓ 1 37 367 154 881 + 27 954 ----------- 183 202 ✓✓ 2 38 98 969 ✓✓ 2 39 3 022 410 ✓✓ 2 40 312 817 ✓✓ 2 41 6 040 475 ✓✓ 2 42 2 553 ✓✓ 2 43 4 278 x 396 25 668 385 020 1 283 400 1 694 088 ✓✓✓ 3 44 191 952 ✓✓✓ 3 45 89 ✓✓✓ 106 9 434 8 48 9 54 9 54 0 00 3 Grade 6 Mathematics Exemplar Memorandum 2

Downloaded from hlayiso.com 46 Answer only: 26 rem 141 3 47 165 3 48 3 7 1 Accept any method 2 3 1 that is mathematically 4 12 2 correct. 9 7 6 =4+(  ) 12 12 12 10 =4 12 5 =4 6 4 49 25 27 52 Accept any method   that is mathematically 36 36 36 correct. 4 50 15 7 8   9 9 9. 4 51 5 % of 160 marks 5 160 = x marks 100 1 1 16 = x marks 2 1 = 8 marks 2 52 25% of R200 ✓ =1/4 of R200 =R50 R200 – R50 = R150 2 53 8,26 + 3,04 – 6,39 All digits must be = 11,3 – 6,39 ✓ correct. = 4,91 ✓✓ Answer only - all digits correct, full marks. Accept any method that is mathematically correct. 3 54 5 – 3,64 = 1,36✓✓ 1 55 4✓ 1 56 2 + 5 x (9 – 4) = 27 1 57 2✓ 1 58 29 ✓ 1 Grade 6 Mathematics Exemplar Memorandum 3

Downloaded from hlayiso.com 59 Profit = (R5,50 R3,45) x 2 ✓ Accept any method = R2,05 x 2 that is mathematically = R4,10 ✓or correct. Profit for 1 melon = R5,50 – R3,45 Mark the steps. = R2,05 ✓ 2 Profit for 2 melons = R4,10 ✓ 60 183 ✓ 1 61 53 ✓ 1 62 139 1 63 C ✓ 1 64 Number of boxes 89 ✓ r 38 ✓ Accept any method. If answer is correct = 4 310  48 48 4 310 award full marks. = 89 r 38 3 84 470 432 38  Number of boxes needed = 90 ✓ 3 65 Number of mℓ = 250mℓ x 50 ÷ 2 Accept any method. = 12 500 mℓ ÷ 2 If answer is correct = 6 250 mℓ award full marks. Number of litres = 6,25 Number of 2-litre bottles = 7 3 66 Decimal fraction = 0,12 ✓ Percentage = 60 % ✓ 13 Common fraction = ✓ 20 3 67 25% = 0,25✓ 3 75% = ✓ 4 2 68 0,024 0,38 3,8 ✓✓✓ 3 69 4,4 ✓ 1 70 31 ✓ (y = 4 x – 1) 1 71 Figure 1 2 3 4 10 25 100 Number of 1 3 5 7 19 49 199 squares Number of 4 12 20 28 76 196 796 matches 3 72 Replace A with x 4 ✓ Replace B with 9 ✓ 2 73 H = 89 K = 11 2 Grade 6 Mathematics Exemplar Memorandum 4

Downloaded from hlayiso.com 74 ✓✓ ✓✓ 2 75 Obtuse ✓ Acute ✓ 2 76 900 or right angle 1 77 18 ✓ 2 78 10 ✓ 2 79 4 x 4 = 16 2 80 Rectangular prism ✓ No of vertices: 8 ✓ No of edges : 8 ✓ 3 81 Cylinder, rectangular prism, hexagon, pentagon 4 82 1 1 83 4 1 84 Rotation 1 85 Length = 10 ✓ Breadth = 6 ✓ 2 86 86.1 3.30 pm / 15:30 pm ✓ 1 86.2 Both clocks must be correct. ✓ CAPE TOWN 1 87 19:30 to 24:10 is 4 h30 min 24:00 to 15:45 is 15 h 45 min 20 hours 15 minutes 3 88 88.1 5 hours 40 minutes 2 88.2 B or 20 1 89 5 250 mℓ 2 90 90.1 260 g 2 90.2 0,26 kg 91 R30,95 × 2 or R59,90 ÷ 2 = R61,90 ✓ = R29,95 ✓  200 kg coffee for R59,90 is a better buy.✓ 2 Grade 6 Mathematics Exemplar Memorandum 5

Downloaded from hlayiso.com 92 330 ÷ 11 = 30 ✓ ✓ ✓ The cost of six copies = 30 x 6 = R180 3 93 30 40 ✓ 26O C 30 20 20 10 1 94 Thambo’s length = (3,6 m – 0,8 m) ÷ 2 = 2,8 m ÷ 2 = 1,4 m ✓ Vusi’s length = 1,4 m + 0,8 m = 2,2 m ✓ 3 95 Number of litres = 90 ÷ 10 x 2 = 18 liters 3 96 96.1 USA 1 96.2 Difference = 75 years – 64 years = 11 years 1 96.3 India 2 96.4 25:75 = 1:3 2 97 FAVOURITE TALLY FREQUENCY COLOUR MARKS Red //// //// // 12 Pink //// // 7 98 98.1 60 + 30 = 90 98.2 80 – 20 = 60 2 99 43 1 100 79 1 Grade 6 Mathematics Exemplar Memorandum 6