ANNUAL NATIONAL ASSESSMENT GRADE 5 MATHEMATICS SET 1: 2012 EXEMPLAR MEMORANDUM

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1 ANNUAL NATIONAL ASSSSNT GRAD 5 ATHATICS ST : 0 PLAR ORANDU

2 GRAD 5 ATHATICS TR : 0 PLAR ORANDU QUSTION PCTD ANSWRS ARK DIFFICULTY LVL. Recognise and represent whole numbers to at least 6 digits ; 707 Rule: Add ; 80 ; ; 75 ; A 750 B a. Forty two thousand seven hundred and forty- nine b. Three hundred and forty eight thousand seven hundred and six , , , Biggest number Smallest number a = 3 b. 3 0 = 3 c = 0 d = a. The number stays the same b. The answer will be 0/zero c. The number stays the same. 3.3 a. xx = b. 3x0x3= 0 3. a. The number stays the same. b. The product = Yes (5+3) = (x5) + ( x 3) 3

3 = = 6. No and and Odd and even numbers Place value 7. TTh Th H T U /H/ Hundreds OR (3x 000) + (7x00) + (x0) + (x) OR 3Th + 7H + T + U 8. Common fractions and decimal fractions 8. a. Fruity b. Pop c a. i ii 8 = 3 b, c. d.,

4 Rounding off 9. a. 5 b a. 70 b a. R 5,00 b. R 6 38,00 0. Add and subtract whole numbers 0. issing number = or = = or = = Number of flowers = 96 or Number of flowers = = = = = 96 3 D 3

5 0.5 a. 3 Number of beads = = or Number of beads = = = 668 b Number of flowers = = or Number of beads = = = = 56. Common fractions 3 3 D. a. b. or (whole) 5 c. 8+ = 8+ = 9 d. 9 3 D = - = =7 e. x = f. x R30 = R = x R6 = R 3 D

6 . Fraction left = - ( + ) 3 = - = =.3 Number of bays for officials = x 630 = 0 Number of bays for public = = 0 Or D Fraction of bays for public = Number of bays for public = x 630. ultiplication = x 0 = 0. a. 00 b. 00 c. 5 d x 5 =( ) x 5 =(500 x 5) + (60 x 5) + (5 x ) = = 80 3 D D x 6 = 373 x (0+6) = (373 x 0) + (373 x 6) = = 9698,, 3, 6, 9, 8, 7, 5 D.5 37 x =37 x 7 x 6 = 659 x 6 = D 5

7 3. Division =78 7 =0 = Quotient = or = = 5 5 = 3. Properties of numbers. a. False b. True c. True d. False e. True. Complete: a. 9 + = + 9 b. 7 + = + 7 c. 6 x = x 6 d. 8 x 5 = 5 x 8 3 D a. x (3 x ) = ( x 3) x b. + ( 3 + 5) = ( + 3) + 5 c. 6 x ( + ) = (6 x ) + (6 x ) 3 6

8 5. Ratio and Rate 5. Open-ended answer 5. : or : or 5.3 Price of 8 litres = 8 x R,50 = 8 x R + 8 x 50c = R96 + R = R Price per kg = R0 8 = R5 5.5 Number of groups = 00 5 = Number of apples each = Income : R 0 00 R R 50 R = 5 3 Total expenses: Clothing : R 87 Transport : R 80 Food : + R 6 R 5 75 R Amount left = Income xpenses - R = R 09 R Geometric and numeric patterns 6. a. 5; 50; 75; 00; 5 b. 99; 998; 00; 006; 00 c. 99; 9; 89; 8; Add 5 or +5 3 Subtract 7 or y = x + D y = x + 7

9 6. Complete the pattern: 6.5 Open ended question. Accept any correct patterns 7. Flow diagram and number sentences 7. a. 5, 60, 75 b. 0, 3, 6, 9, 8 7. a. Number of learners = or x = b. Number of sweets each = (36 ) or x =(36 ) c. Number of lipsticks =0 x 5 or x = 0 x 5 d. Fourth number = ( ) 7.3 Cost = R 60 x x 9 = R 30 x 9 = R 9 80 D 30 x D shapes, 3-D objects, symmetry and transformations 8. Shape Name of shape Number of sides Number of angles 6 Square Octagon 8 8 8

10 8. a. 8 b Pentagons and hexagons D object Name of 3 D object Cube The name(s) of the shape(s) of the faces Squares Rectangular prism Rectangles

11 COLUN A COLUN B 0. Rotate a. slide 0. Translate b. flip 0.3 Reflect c. turn 0. * 0.3. Views and grid positions. A B C D F G a. C5: rectangular prism : cube b. Triangle: C/C Rectangle: D3/3D 0

12 .3 3 a. b. c...5 D. easurement. YARS CNTURY DCADS ONTHS e.g a a.m. or 6 o'clock a.m. b p.m. c..5 p.m..3 a. 7:5 b. 9:5 c. 0: p.m..5 weeks d 3h min +9 weeks 3d 9h 35 min 3 weeks 5d h 9 min

13 3. 3. Item (m, cm, kg, ml ; km, mm, l ) Distance from km Cape Town to ast London Finger nail mm Bag of cement kg Cup of tea ml Total number of litres = = ,5 kg 50 g 00 g 0,5 kg 600 g 00 g D 3. 00cm 3.5 o C.. a. AB = 9cm BC = cm b. Area of the rectangle ABCD = 9cm x cm. Volume = l x b x h = 6cm x 6cm x 6cm = 6 cm 3.3 Volume = l x b x h = 6cm x 5cm x 7cm = 0cm 3 = 36 cm Data handling

14 5. Learners' favourite ice cream flavours 3 No. of learners vanilla chocolate strawberry lime Ice-Cream flavours 5. nvironmental issue Tally marks Frequency Waste management IIII IIII IIII II 7 Vegetable garden IIII IIII 0 Planting of tree IIII IIII II Water conservation IIII IIII I 5.3 Teams Tally marks Frequency South Africa IIII IIII II Ghana IIII IIII 9 Brazil IIII IIII I Spain IIII Argentina IIII 5 6 a. South Africa b. :50 6. Probability 6. Impossible b c Certain a d 3

15 6. a. Possible b. Certain c. Impossible 6.3 or out of 6

5 + 5 = = = 9 2 = 45 = 5 35 = = = = 4 5 = 60 = = = 38 = = = = 5 10 = 5

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