ANNUAL NATIONAL ASSESSMENT GRADE 6 MATHEMATICS TERM : 0 EXEMPLAR MEMORANDUM
GRADE 6 MATHEMATICS TERM : 0 EXEMPLAR MEMORANDUM COUNT FORWARDS AND BACKWARDS IN DECIMALS TO AT LEAST DECIMAL PLACES.. C. C. B. 0,5 ; 0, ; 0,5 ; 0, ; 0,5 add 0,05 to get the next number 5. 0, 6.,5 ;,5 ;,75 7. 0.5 0.75,5 0 0,5,5. 5 6 5,6 6, 9. 7 050; 700; 6990 0., 07, 0, 09, 0,, RECOGNISE, REPRESENT, DESCRIBE AND COMPARE WHOLE NUMBERS TO AT LEAST 9- DIGITS. Circle the letter of the correct answer in question -.. C. C. 579. 5 967 0; 9 556 5. 6 000 000 6. 567 9 = ( 000 000) + (5 00 000) + (6 0 000) + 7 000 + 00 + 9 7. 0 000 000 + 000 000 + 600 000 + 0 000 + 000 + 600 + 0 + 7. 75 9.
0. Athletics was the most popular sport with 65 00spectators. 75 ( 50 + 500). 657 09. Two hundred and thirty four thousand seven hundred and nine RECOGNISE THE PLACE VALUE OF WHOLE NUMBERS TO AT LEAST 9-DIGIT NUMBERS. Circle the letter of the correct answer in question -.. C. A. C. B 5. 0 000 000 6. Ten Million 7. 5 7 67 or any other correct number. a) How many people are indicated by the digit 5 in the number for the Country B? 50 000 000 people b) How many people are indicated by the digit in the number for the Country A? 00 000 people 9. R0 + R + R0, 0 + R0, 06 = R,6 RECOGNISE MULTIPLES AND FACTORS OF WHOLE NUMBERS. Circle the letter of the correct answer in question -.. C. B. B.. Yes. Yes 5 5. 56; 5; 0; 0 ; 096; 9 5. Multiply each number by to get the next number. 6. 9 7. ; ; 5; 9; 5; 5; 5; 75; 5. 9. and 5 5 and 5 0. ; ; 6. 6. and 9 RECOGNISE PRIME NUMBERS TO AT LEAST 00. Circle the letter of the correct answer in question.. D. 9 and. 0
. 5 5. 6 5. 57 THE ADDITIVE PROPERTY OF 0 THE MULTIPLICATIVE PROPERTY OF.. 57 =0 + 57. 7 9-0 = 7 9. Complete the following problem about number: 0 + 95 = 95 and 95 0 = 95 therefore 0 + 95= 95 0. When we add zero to a number, the number is unchanged 5. 67 x 0 + = 6. 7 9 x = 7 9 7. True RECOGNISE AND USE EQUIVALENT FORMS OF NUMBERS INCLUDING: COMMON FRACTIONS; DECIMAL FRACTIONS AND PERCENTAGES. Circle the letter of the correct answer in question -.. C. B. 75% = 5% = 0, 5. 5 00 9 0 5.,, 0,, 0,75 6.,,6,, 7.. 9. 7,5% 7 0, 5 = = 6 9
0. > 0. 0 0.,5 > 0. 00% =. 5%. 0,5. Fraction. 7 5 = 5% 50 00. 6 5 = = 00 00 50 He got out of 50. 6 5. 6 Fraction for Pule = x = 5 0 Therefore SAM ate the most chocolate ROUND OFF TO THE NEAREST 5, 0, 00 OR 000. Circle the letter of the correct answer in question -.. B. D. D. 00 5.,, 99, 9 6. R6, 0 ADD AND SUBTRACT WHOLE NUMBERS.. Number of tickets sold= 69 59 65 07 6 95 65 00 +770 9 69 59. Number of tickets = 9 76 65 00-770 9 9 76.. 567
766 67 + 7 7 6 56 7. 0 5 75 769 7 7. Number of children = 95- ( 95+ 7) = 95 5 6 =5 9. 6 67 6 6 6 7-6 6 7 6 67 000 = 67 + 6 000 6 = 6 7 5. 0 0-6 9 065 0 6. Number = 50 67-5 7 = 9 96 7. Number of sheep now = 957 + = 66 957 - + 66 ADD AND SUBTRACT COMMON FRACTIONS IN WHICH ONE DENOMINATOR IS A MULTIPLE OF ANOTHER. ADD AND SUBTRACT MIXED NUMBERS... 5 6 5 5
7. 5 5.. ( + x )= + =... 6 9 7 6 9 6 6 5 6 ( ) ( ) 5 Numbers of learners absent = x 960 = x (960 ) = x 0 5. =60 5 of 0 6
= 5 x (0 ) = 5 x 0 =00 6. of 0smarties=0 of 0smarties = 0 Claire will choose half of 0 smarties. 7. 7. Content = + 6 = 6 + 6 = 6 5 The pond is 6 5 full. 7. 5 5 7 + = + = = 6 6 6 6 6 The dam will overflow because is more than MULTIPLY A -DIGIT NUMBER BY A -DIGIT NUMBER (IN COLUMNS).. Number of Oranges = 9 x = 95 9 9 X 7 + 70 55 600 95 9. 7 76 x 9 6 70 0 + 6 00 095 6.. Number of heartbeats = 7 x 0 = 70 x = 0. Number of heartbeats = x 0 = 60. Number = 79 x 56 = 7 7 9 7
X 5 6 + 57 6 7 0 9 5 0 0 7 5. Number of boys = 5 + 9 = Total number of learners in a camp = x = DIVIDE A -DIGIT NUMBER BY A -DIGIT NUMBER (USING LONG DIVISION).. 5 9 7 6 6 5 0-0 - 6 6 5 Remainder = - - 0 0. Number of plants= 5 x 7 = 5 x (0 + 7) =( 5 x 0) + ( 5 x 7) or long multiplication = 5 0 + 6 5 = 9 9 5 Number of tomatoes= 9 9 5 x = 9 5 6 Total number of tomatoes to be packed= 9 5 = 9 Number of packets to the wholesaler = 9 = 5 5 9-9 - 9 7 6 5 6 5 9
. Missing number = 50 5 = 96 9 6 5 5 0-5 - 0 7 5 0 0 0-7 7 5 0 5 0. 75 65 = rem 5 6 5 7 5 6 5 5 0 5 Number of busses = 5. y = 56 x 69 + = 6 + = 6 5 6 X 6 9 0 + 6 0 0 6 0 0 6 6. 0 000 0 5 0 (0 000 0 ) (5 x 0) 500-500 0 9
ADD AND SUBTRACT POSITIVE DECIMAL NUMBERS WITH AT LEAST DECIMAL PLACES. MULTIPLY DECIMAL FRACTIONS BY 0 AND 00. Circle the letter of the correct answer in question.. A., + 5, 6 =, 5. 6,= 6,00, =, 66., +, - = 0, 6, 6 - = 0, 6,6 6, = 0, 5. True RECOGNISE AND USE DIVISIBILITY RULES FOR,,, 5, 0, 00, AND 000. Circle the letter of the correct answer in question. B and D. (a) True (b) True (c) True USE MULTIPLE OPERATIONS ON WHOLE NUMBERS (WITH OR WITHOUT BRACKETS). Circle the letter of the correct answer in question -.. A. C. C.. + x = + =. x + x = + 6 =. + - = + - =. 6 0 + 6 = 0 = 5. x 6. 90 0
PROBLEM SOLVING.. Profit = R5, 50 R, 5 = R, 05. Profit =R,05 x 67= R + R, 5= R7, 5. Loss = (R,5 R,95) x 5 = R0,50 x 5 = R7,50. Discount =0% of R50 = of R50 = R5,00 Cost = R50 R5 = R5 Or Discounted Price = 90% of R50 of R50 = = 9 x R5 = R5. Number of children = of 95 = 59. Number of adults = 95 59 = 06 Distance =,5 x0 =,5 x 0 x km = 5 x km =500km Time in hours Distance in km,5 0,5 0 0 60 00 00 0 0 500 5. Income in 7 days = xr9, 50 x 7 = R76,00 x 7 = R5,00 6. $5 = R7, 67 x 5 = R7,67 x 7 x 5 = R5,69 x 5 = R 6, 5
INVESTIGATE AND EXTEND GEOMETRIC PATTERNS LOOKING FOR A RELATIONSHIP.. B.... Diagram number 0 n No. of small n x 9 6 6 00 59 squares n. By adding one square in each row and column.. By multiplying the diagram number by itself... 9. 7 6 + + + + +5 +6 +7 Next term is 9 because +7 = 9 Add to 9 5. Number of tables 5 6 7 Number of people 0 6 5. people 5. 9 tables 5. = x 9 + 5. tables 6. A= 6 and B= 7. 7. ; 7; ; ; _5 ; ; ; _5. 7. ; ; ; ; 5; ; ; ;
. 9. No. of squares 5 0 0 No. of matches needed 7 0 6 6 0. =. 6 - = 9. Amount earned = R50 x 5 x 6. A church has 7 rows of chairs and each row can seat people. Fifteen people are on stage singing. How many people are in the church? -D SHAPES AND -D OBJECTS. Rectangle Octagon Circle Triangle. Draw lines to name each of the following D objects. Triangular prism Cylinder Rectangular prism Pyramid. They are both quadrilaterals They each have right angles Opposite sides are parallel Opposite sides are equal
.. Triangular prism. There are two triangular faces 5. Cube Triangular prism Squarebased Pyramid Number of faces What shape/s are the faces? How many vertices (corners)? Number of edges? How many curved surfaces? square 6 5 5 Triangles and rectangles Triangles and a square 6 5 9 0 0 0 6. They are quadrilaterals RECOGNISE, DRAW AND DESCRIBE LINE(S) OF SYMMETRY IN -D SHAPES. SYMMETRY. 0.. B and C
USE THE PROPERTIES OF ROTATIONS, REFLECTIONS AND TRANSLATIONS TO DESCRIBE TRANSFORMATIONS OF -D SHAPES AND -D OBJECTS. TRANSFORMATIONS.. Horizontal translation. Translation and reflection. Horizontal translation. Rotation... Reflects POSITION.. 0 9 7 6 5 A B C D E F G H I J K L. K. B. W. TIME 5
. 0: 0 and minutes past 0.. Forty nine minutes past twelve or Eleven minutes to one or eleven minutes to one.. Time in words hour time hour time seven o clock in the evening quarter to ten in the morning twenty past two in the afternoon quarter past ten in the evening 9:00 7.00p.m. 09:5 9.5 p.m. :0.0p.m. :5 0.5p.m. midnight 00:00.00a.m. 5. 0 minutes 6. One hour forty minutes or h 0min. 7. 07:0. 5 minutes = 00 seconds(5 x 60 = 00) 6 7 hours= 00 minutes(7 x 60 = 70 x 6 = 00) hours= 00 seconds( x 60 x 60 = 0 x 60 = 00) week = 0 00 minutes( x 60 x 60 = 6 x 60 = 0 00) 50 years = 5 decades 9. hours 5 minutes. 0. Time spent = 7 x 5 x 6 minutes = 5 x 6 minutes = h 0 minutes ( 5 x 6 60) SOLVE PROBLEMS INVOLVING CALCULATING AND CONVERTING BETWEEN APPROPRIATE SI UNITS INCLUDING: 6
.. ton = 000 kg. kg 5 g =,05 kg. l ml = 0 ml. 500ml=,5 l.5 m cm =cm.. 00 g.,kg = 00g. 9kg,kg = 5,7kg. 5,67 kg. Number if litre = x = 9 5. 6cm 6. 6. l needs 50 ml 0,5 l needs 5 ml, 5 l needs x 5 ml, 5 l needs 75 ml 6. 5 x 50 ml= 50 ml 5 litres of energy drinks need, 5l of concentrate. 7. friend drinks l 5 friends drink l You must buy two-litre bottles.. litres 9. 9. :0 = :5 9. 0: = 5 : 9. times (0 = ) 9. Fraction = = 0. 00 kg 5 ton 500g 5 kg Elevator with 7 people Lorry Handbag Wheelbarrow.. S 7
. R CALCULATE THE AREA OF RECTANGLES AND SQUARES USING SQUARE GRIDS... cm. What is the perimeter of the square? P= cm + cm + cm +cm = 6 cm or P= x cm = 6cm. cm. P = cm +7cm + cm +7cm = 0 cm.5 Area of the square= 6 cm.6 Area of the rectangle = cm.. PQ = x 6cm = 9cm.. 7 cubes. 7 cm. cm DATA HANDLING. ( x )
. Event Impossible Unlikely 50% chance Likely Certain (a) You will turn years old on your next birthday. (b) A coin is tossed to decide who has the kick-off in a soccer match. Bafana Bafana wins the toss at the start of their next match. (c) A slice of bread with butter and jam spread on one side is dropped on the floor. It lands with the jam side facing up. (d) A drawing pin is tossed and it lands with the pin facing downwards.. We can toss a coin.. R R, R R5, R R, R R5, R5 R, R5 R 5. 6. : = : 7. Car colour Number of cars Tally marks red //// /// white //////// // yellow 7 //// //. Motor cycle Car Minibus Bakkie Heavy vehicle 7 5 9
Customers choice of vehicle Number of customers motor cycle car minibus bakkie heavy vehicle 6 9. Number of people in the Tally marks Frequency family //////////// 5 //////// / //////// / ////// 7 5 /// 6 // 7 / 0. Mean Mark =(7++7+9+0+6) 6 = 6 6 =7. 7 7 7 7 76 77 7 79 79 79 0 Median=77. Mode = R, 0 0
... 0 = 5