Grade 4 Mathematics Memo.pdf

Downloaded from hlayiso.com ANNUAL NATIONAL ASSESSMENT GRADE 4 MATHEMATICS SET 1: 2012 EXEMPLAR MEMORANDUM

Downloaded from hlayiso.com GRADE 4 MATHEMATICS SET 1: 2012 EXEMPLAR MEMORANDUM NO. QUESTION MARK LEVEL 1. a. 3 125 ; 3 150; 3 175 2 E b. 6 900; 6 850; 6 800 2 E 2. a. 2 250; 2 300; 2 325 1 E b. 9 140; 9 130; 9 100 and 9 090 1 E 3. a. 939; 942; 945; 948 2 E b. 4 878; 4 876; 4 874; 4 872 2 E 4. a. 519 522 527 532 2 M b. 8 222 8 220 8 210 8 200 2 M 5. 4 582 1 E 6. a. 4 813 1 E b. 6 016 1 E 7. Five thousand and eighteen 1 M 8. Six thousand four hundred and thirty-eight 1 M or 6 000 + 400 + 30 + 8 or ( 6 x 1 000 ) +( 4 x 100 ) + ( 3 x 10 ) + ( 8 x1) 9. 8 410, 8 140, 4 810, 4 180 1 M 10. 9 650 1 D 11. 600 / 6H 1 E 12. a. 5 645 1 E b. 6 790 1 E 13. 4 869 = ( 4 x 1 000)+(8 x 100)+( 6 x 10)+( 9 x 1) 5 D or 4 000 + 800 + 60 + 9 =(4 x 10x10x10)+( 8 x 10 x 10)+(6 x 10)+(9 x1) 1

Downloaded from hlayiso.com 14. 36 ÷ 4 = 9 and 36 ÷ 9= 4 2 D 15. 8 1 M 16 yes 1 M 17. a. FALSE 1 M b. FALSE 1 M 18. 1 M 18 39 24 46 19. No 1 M 20. 8; 16; 24; 32; 40; 48. 1 E 21. 29, 35, 15,67;49 1 E 22. 35 1 E 23. 42; 48; 54 1 M 24. 7 1 E 25. 1 E 15 20 25 30 Odd and even numbers 1. a. 4 108; 4 110 1 E b. 5 985; 5 983 1 2

Downloaded from hlayiso.com 2. 710 497 2 M 804 418 501 213 665 3. a. 421 1 E b. 66 1 4. 643 647 649 1 E 5. 1073; 1 075; 1 077; 1 079; 1 081; 1 083 2 M Place value of whole numbers 1. 600 1 E 2. a. 5 321 1 E b. 2 372 1 3. 360 (400 – 40) 2 M 4. a. > 1 M b. < 1 5. 4 202 1 M Common fractions and decimal fractions 1. a. , , , , , 2 M 1 E b. 2 1 E c. 1 E d. Shade 4 parts of sixth strip or 2 parts of thirds strip 2. a. or 1 D 1 b. 0,5 or c. 1 3

Downloaded from hlayiso.com Rounding off 1. 4 950 1 M 4 900 1 5 000 1 2. R 15,00 1 D R4,00 1 3. R 17,13 ≈ R17,00 to the nearest rand. 2 D 4. 1 800 1 E Add and subtract whole numbers 1. a. 3 846 + 3 217 3 M = 3 000 + 3 000 + 800 + 200 + 40 + 10 +6 + 7 = 6 000 + 1 000 + 50 + 13 = 7 063 1 Or 3 8 14 6 3 M + 32 17 70 63 1 b. 2 752 + 4 356 or 2 17 5 2 = 6 752 + 300 + 50 + 6 - 4 3 5 6 = 7 052 + 50 + 6 7 1 0 8 = 7 102 + 6 = 7 108 2. 5 000 + 600 + 120 + 6 2 M = 5 000 + 700 + 20 + 6 – 1 000 – 300 – 30 – 4 or 5 7 12 6 = 4 000 + 300 + 90 + 2 - 13 3 4 =4392 43 9 2 3. 1 396 – 426 = 970 2 D 4. 9 000 – 9 = 8 991 3 D Add and subtract common fractions 1. a. or 2 M 2 M b. or 2. 5 1 E 7 3. or 2 M 4. Number of children = x 20 = 2 x 4 = 8 2 M 5. 1- = = 2 E 6. 1- = = 2 E 4

Downloaded from hlayiso.com Multiply 2-digit numbers by 2-digit numbers 1. 6 30 1 E 2. 46 x 32 3 D (40 + 6) x (30 + 2) = 40 x 30 + 6 x 30 + 40 x 2 + 6 x 2 or 46 x (30 + 2) = 1 200 + 180 + 80 + 12 = 46 x 30 + 46 x 2 = 1 380 + 92 = 460 x 3 + 92 = 1 472 = 1380 + 92 = 1472 3. 24 or 64 3 D X 64 X 24 96 256 + 1 440 1 280 1 5 36_ 1 536 4. 8 1 E 5. 12 x 11 words = 132 words 2 M Divide 3 – digit numbers by 1 digit number 1. Number of apples = 296 ÷ 8 or 37__ 3 D = (240 + 56) ÷ 8 8 2 95 6 = 30 + 7 = 37 2. Number of sweets = 123 ÷ 7 17r4 3 M = (70 + 49 + 4) ÷ 7 7 1 25 3 = 10 + 7 rem. 4 = 17 rem. 4 3. 722 ÷ 4 3 M = (400 + 320 + 2) ÷ 4 = 100 + 80 rem. 2 = 180 rem. 2 4. > (100 > 10) 1 E 5. 3 M Column A Column B 125 ÷ 5 50 333 ÷ 3 25 450 ÷ 9 111 Multiplication and division as inverse operations 1. 78 and 8 2 M 2. 2 x 3 = 6 or 3 x 2 = 6 or 6 ÷ 2 = 3 or 6 ÷ 3 = 2 2 E 5

Downloaded from hlayiso.com Ratio and rate 1. 1 M a. 5 : 7 1 M b. 5 : 6 1 M c. 7 : 18 2. 1 E 3:4 3. 1 M 10 : 1 4. 1 E a. 10 1 M b. 80c 5. Cost of 7 balls = R42,50 x 7 2 M = R42 x 7 + 50c x 7 = R294 = R3,50 = R297,50 Grouping and sharing with remainders 1. 1 car will be left 1 E 2. 10 remainder 1 2 M 3. a. 12 shells 1 E b. 7 shells left over 1 E 4. 9 remainder 2 1 E Solves problems involving common fraction, including grouping and sharing 1. of 30 bananas = 3 bananas 1 E 2. Number of cakes = 14 ÷ 4 = 7 ÷ 2 = 3½ 2 M 3. 1 E a. 1 E b. 4. Number of trees = of 24 = 2 x 8 = 16 2 M 5. 3 tigers 1 E 6. 2 D a. of R60,00 is 2 x R12,00 = R24,00 1 M b. 6

Downloaded from hlayiso.com Problem-solving involving money 1. a. R 3,50 1 E b. R4,80 1 M 2. Cost of 3 toys = R12,34 x 3 or R12,34 3 M = R36,00 + 90c + 12c X 3 = R37,02 R37,02 3. a. R67,40 (R40 + R20 + R6 + R1 + 40c) 2 M b. R77,20 (R60 + R15 + R1 + R1 + 20c) 4. R 38,32 2 M R 7,82 +R 4,00 R120,14 5. a. Total cost = R86,99 + R25,89 or R86,99 2 M = R112,88 +R 25,89 R112,88 b. Jabu needs R12,88 1 E Investigate and extend geometric patterns looking for relationships 1. 1 E 2. 8 matches 1 E 3. 1 E a. a. 1 E b. South Africa 7

Downloaded from hlayiso.com Numeric patterns 1. 1 D a. 16; 22; 29 1 D b. 16; 21;26 2. 1 E a. Yes 1 M b. 560 is a multiple of 20 3. 1 + 3 + 5 + 7 + 9 = 25 2 D 1 + 3 + 5 + 7 + 9 + 11 = 36 Relationships 1. 120 legs 2 D 2. Number of marbles = 23 + 23 + 12 2 M 3. 1 M a. Add 5 or + 5 1 b. Add 10 or + 10 1 c. Multiply by 3 or x 3 4. Count in multiples of 4 1 E Number sentences 1. Number of chocolates = R84,00 ÷ R6,00 2 D 2. Open answer 2 D 3. Add 4 or + 4 1 E 4. a. + - 4 M b. - + Recognise and name polygons 1. 4 E A. Hexagon B. Paralellogram C. Pentagon D. Trapezium 8

Downloaded from hlayiso.com Sort and compare 3-D objects 1. 4 M Name of Number Number Number object of faces of of edges vertices cube 6 8 12 A cylinder 3 0 0 B Recognise, draw and describe line (s) of symmetry in 2-D shapes 1. 3 2. Any 4 capital letters from B E H I K M O S T V W 2 E X. 3. 2 E X X 9

Downloaded from hlayiso.com 4. 2 Tessellation 1. Both shapes can tesselate 1 E 2. Open answer 2 E 3. Circles cannot tesselate because of their curved shape 2 M Identify everyday objects from different views 1. 1. – Lun 3 M 2. – Andre 3. - Vuv Locate positions of objects on a coded grid 1. a. F8 4(1 mark M b. A7 each) c. D2 d. E4 2. a. A B C D 1 . 2 M 2 3 . . 4 1 E b. A triangle 10

Downloaded from hlayiso.com Time 1. 2 D 2. 10.30  12.00 = 1h30m and 12.00  3.45 = 3h45min 2 D Time taken = 5 h 15min 3. a. 100 years 2 M b. 36 months c. 30 days d. 10 months 4. Number 1 2 5 10 2 M of minutes Number 60 120 300 600 of seconds 11

Downloaded from hlayiso.com Measurement 1. 1 E a. B C D A 1 M b. 1 – 340m = 660m 2 M c. 1 + 340m + 500m + 750m = 1 + 1590 m = 2l 590m 2. Kilolitres 1 E 3. 2 M a. 500m b. 20mm c. 0,5m or  d. 1,5kg or 1 kg 4. Amount of water used = 2 +50 + 32 = 84 2 E 5. Distance  metres 3 E Mass  kilograms Capacity  litres 6. 2 M A. Perimeter = (32 + 20 + 31 + 28 + 36) = 147mm 2 M B. Perimeter = (30 + 30 + 25 + 25)mm = 110mm 7. open 2 M 8. 20 squares 1 E 9. 1 E a. A 1 b. 15 1 c. 12 10. 6 square units 1 E 12

Downloaded from hlayiso.com Data handling 1. Name Tally Frequency 4 E Amina IIII 4 Lucky III 3 Sam IIII 5 Tammy II 2 1 2 E a. Sam M b. 14 awards 2. a. Difference = 14 – 9 = 5 1 M b. Number of learners = 14 + 7 + 1 + 2 + 2 + 9 = 35 2 M 3. a. Cars 1 E b. Kites 1 E c. 45 (9 x 5) 1 E d. 25 (35 – 10) Probability 1. a. unlikely 1 E b. likely 1 E c. likely 1 E 13