2015 Grade 5 Mathematics Memo 2015

ANNUAL NATIONAL ASSESSMENTS 2015 GRADE 5 MATHEMATICS MEMORANDUM MARKS: 60 This memorandum consists of 4 pages Important information: 1. Give full marks for answers only, unless otherwise stated. 2. Accept any alternative correct solution that is not included in the memorandum. 3. CA refers to consistent accuracy. See clarification in question 7.1 Question Expected Answer Clarification Mark Total 1. 1.1 D  1 1.2 B  1 1.3 C  1 1.4 B  1 1.5 D  1 1.6 A  1 1.7 C  1 1.8 D  1 9 1.9 B  1 2. 998  ; 996  1 mark for each 2 2 3. 38  1 1 4. 19 1 mark 1×3 +1 = 4 2×3 +1 = 7 3×3 +1 = 10 4×3 +1 = 13 5×3 +1 = 16 6×3 +1 = 19 1 1 5. 20 4 =  25 5 1 1 6. 6.1 84 509 +33 095 117 604 117 604: 2 marks   604: 1 mark or 117: 1 mark 84 509 = 80 000 + 4 000 + 500 + 00 + 9 +33 095 = 30 000 + 3 000 + 000 + 90 + 5  Apply CA Sum =110 000 + 7 000 + 500 + 90 +14 =117 604  or 80 000 + 4 000 + 500 + 9 + 30 000 + 3 000+90 + 5  = 80 000 + 30 000 + 4 000 + 3 000 + 500 +90 +9 +5 = 110 000 + 7 000 + 500 + 90 + 14 = 117 604  Example of CA: 84 509 84 509 Hundreds, tens and +33 095 +33 095 units correct (604) 127 604 117 694 and thousands ×   × wrong: 1 mark. Thousands correct (117) and hundreds, tens and units wrong: 1 mark. 2 1 Grade 5 Mathematics Memorandum

6.2 96 974 91 593 : 2 marks - 5 381 91 593 593 : 1 mark   91 : 1 mark Apply CA or 96 974 = 90 000 + 6 000 + 800 + 170 + 4 - 5 381 = 00 000 + 5 000 + 300 + 80 + 1  Sum = 90 000 + 1 000 + 500 + 90 + 3 = 91 593  or 96974 - 5000 91974 - 300 91674 - 80 91594 - 1 91593  2 6.3 547 or 547 x (40 + 2) A mark for each × 42 = (547 x 40) + (547 x 2) correct step. 1 094 = 21 880 + 1 094 Answer only: +21 880 = 22 974 3 marks. 22 974 Apply CA or 547 x 42 or 547 x 42 =547 x 6 x 7  =547 x 7 x 6  =3 282 x 7  =3 829 x 6  =22 974  =22 974  3 6.4 774 ÷ 6 ÷ 3  = 129 ÷ 3  Correct quotient: = 43  1 mark. Correct or calculations: 2 marks. 774÷ 3 ÷ 6  Answer only: = 258 ÷ 6  3 marks. = 43  Apply CA or 4 3  18 7 7 4 ̶ 7 2  - 4 × 18 5 4 - 3 × 18 ̶ 5 4  3 0 6.5 2 5 5 + 3 7 7 Whole number: 2 5 =5+3+ + 1 mark 7 7 7 Common fraction: = 8+  1 mark 7 = 9  Answer only: 2 marks 2 3 Whole number: 6.6 6 ̶ 4 ̶ 4 1 mark 3 =2 ̶  Common fraction: 4 1 1 mark =1  Answer only: 4 14 2 marks 2 2 Grade 5 Mathematics Memorandum

7. 4d 10h + 7d 16h = 11d 26h Answer only: = 12d 2h 3 marks = 1w 5d 2h 3 3 8.  1 1 9. Number of 𝑘𝑚 = 5 × 2 × 8  = 80  or Distance = 8 × 5 × 2 𝑘𝑚  = 80 𝑘𝑚  Answer only: 2 marks 2 2 10. 10.1 Amount = 10 × R4 750  Correct operation: = R47 500  1 mark Correct calculation: 1 1 mark 1 Answer only: 2 marks 10.2 Amount = R47 500 ÷ 2  Correct operation: = R23 750  1 mark or Correct calculation: 1 Amount = R4 750 × 5 1 mark 1 Answer only: =R23 750  2 marks 4 11 11.1. 2 063  1 11.2 1 1 3,5 or 3  2 2 12. 12.1 56  1 12.2. 100  1 2 13. Triangles and Rectangles  1 5 faces  1 1 3 14. Correct shape: 1 mark Correct size: 1 mark 2 2 15. 15.1 is greater than  1 15.2 is smaller than  1 2 3 Grade 5 Mathematics Memorandum

16. 16.1 6℃ 1 16.2 Difference = 24℃ ̶ 6℃  1 =18℃ 1 3 17. Shoe sizes Tally Frequency 2 /// 3 3 //// //// //  12 1 4 //// // 7 5 /// 3  1 6 /  1 1 17.1 Size 3  3 : 1 mark 1 17.2 3 learners  3 : 1 mark 1 17.3 Difference = 7 ̶ 1 6 : 1 mark = 6 1 6 18. For 15 stars: 1 rocket made 3 stars and  1 3 rockets made 4 stars,  1 2 TOTAL 60 4 Grade 5 Mathematics Memorandum