Grade 4 Mathematics Exemplar.pdf

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

Downloaded from hlayiso.com GUIDELINES FOR THE USE OF ANA EXEMPLARS 1. General overview The Annual National Assessment (ANA) is a summative assessment of the knowledge and skills that learners are expected to have developed by the end of each of the Grades 1 to 6 and 9. To support their school-based assessments and also ensure that learners gain the necessary confidence to participate with success in external assessments, panels of educators and subject specialists developed exemplar test questions that teachers can use in their Language and Mathematics lessons. The exemplar test questions were developed based on the curriculum that covers terms 1, 2 and 3 of the school year and a complete ANA model test for each grade has been provided. The exemplars, which include the ANA model test, supplement the school-based assessment that learners must undergo on a continuous basis and does not replace the school based assessment. 2. The structure of the exemplar questions The exemplars are designed to illustrate different techniques or styles of assessing the same skills and/or knowledge. For instance, specific content knowledge or a skill can be assessed through a multiple-choice question (where learners select the best answer from the given options) or a statement (that requires learners to write a short answer or a paragraph) or other types of questions (asking learners to join given words/statements with lines, to complete given sentences or patterns, to show their answers with drawings or sketches, etc.). Therefore, teachers will find a number of exemplar questions that are structured differently but are targeting the same specific content and skill. Exposure to a wide variety of questioning techniques or styles gives learners the necessary confidence to respond to different test items. 3. Links with other learning and teaching resource materials For the necessary integration, some of the exemplar texts and questions have been deliberately linked to the grade-relevant workbooks. The exemplars have also been aligned with the requirements of the National Curriculum Statement (NCS), Grades R to 12, the Curriculum and Assessment Policy Statements (CAPS) for the relevant grades and the National Protocol for Assessment. These documents, together with any other that a school may provide, will constitute a rich resource base to help teachers in planning lessons and conducting formal assessment. 4. How to use the exemplars While the exemplars for a grade and a subject have been compiled into one comprehensive set, the learner does not have to respond to the whole set in one sitting. The teacher should select exemplar questions that are relevant to the planned lesson at any given time. Carefully selected individual exemplar test questions, or a manageable group of questions, can be used at different stages of the teaching and learning process as follows: 4.1 At the beginning of a lesson as a diagnostic test to identify learner strengths and weaknesses. The diagnosis must lead to prompt feedback to learners and the development of appropriate lessons that address the identified weaknesses and consolidate the strengths. The diagnostic test could be given as homework to save instructional time in class. 4.2 During the lesson as short formative tests to assess whether learners are developing the intended knowledge and skills as the lesson progresses and ensure that no learner is left behind. 1

Downloaded from hlayiso.com 4.3 At the completion of a lesson or series of lessons as a summative test to assess if the learners have gained adequate understanding and can apply the knowledge and skills acquired in the completed lesson(s). Feedback to learners must be given promptly while the teacher decides on whether there are areas of the lesson(s) that need to be revisited to consolidate particular knowledge and skills. 4.4 At all stages to expose learners to different techniques of assessing or questioning, e.g. how to answer multiple-choice (MC) questions, open-ended (OE) or free-response (FR) questions, short-answer questions, etc. While diagnostic and formative tests may be shorter in terms of the number of questions included, the summative test will include relatively more questions, depending on the work that has been covered at a particular point in time. It is important to ensure that learners eventually get sufficient practice in responding to full tests of the type of the ANA model test. 5. Memoranda or marking guidelines A typical example of the expected responses (marking guidelines) has been given for each exemplar test question and for the ANA model test. Teachers must bear in mind that the marking guidelines can in no way be exhaustive. They can only provide broad principles of expected responses and teachers must interrogate and reward acceptable options and variations of the acceptable response(s) given by learners. 6. Curriculum coverage It is extremely critical that the curriculum must be covered in full in every class. The exemplars for each grade and subject do not represent the entire curriculum. They merely sample important knowledge and skills and covers work relating to terms 1, 2 and 3 of the school year. The pacing of work to be covered according to the school terms is specified in the relevant CAPS documents. 7. Conclusion The goal of the Department is to improve the levels and quality of learner performance in the critical foundational skills of literacy and numeracy. ANA is one instrument the Department uses to monitor whether learner performance is improving. Districts and schools are expected to support teachers and provide necessary resources to improve the effectiveness of teaching and learning in the schools. By using the ANA exemplars as part of their teaching resources, teachers will help learners become familiar with different styles and techniques of assessing. With proper use, the exemplars should help learners acquire appropriate knowledge and develop relevant skills to learn effectively and perform better in subsequent ANA tests. 2

Downloaded from hlayiso.com Count forward and backwards in whole numbers between 0 and at least 10 000 1. Fill in the missing numbers. a. 3 050 ; 3 075 ; 3 100 ; _______; _______;_______. (2) b. 7 050; 7 000; 6 950; _______; _______;_______; 6 750. (2) 2. Fill in the missing numbers on the number line. a. (1) 2 225 2 275 2 350 b. (1) 150 9 120 9 110 3. Write down the next 4 numbers in each sequence. a. 930 ; 933 ; 936 ; ______; _______; _______; _________. (2) b. 4 884 ; 4 882 ; 4 880 ; _______; ______;_____;_____. (2) 4. Complete the following number chains. +3 +3 +5 +5 a. 516 ______ ______ _______ ____ (2) -2 -2 -10 -10 b. 8 224 ______ ______ ______ ________ (2) 5. Which number is written in expanded notation as ( 4 x 1 000 ) + (5 x 100) + (8 x 10) + (2 x 1)? (1) 6. Use digits to write down each number. a. four thousand, eight hundred and thirteen (1) b. six thousand and sixteen (1) 7. Write 5 018 in words. (1) 3

Downloaded from hlayiso.com 8. Write 6 438 in expanded notation. (1) 9. Arrange the following numbers from biggest to smallest. (1) 4 810 , 8 410 , 4 180 , 8 140 10. What is the biggest number you can make using the digits (1) 6 0 5 9? 11. What is the value of the underlined digit in 4 614? (1) 12. a. Which whole number comes just before 5 646? (1) b. Which whole number comes directly after 6 789? (1) 13. Complete 4 869 = ( 4 x ______)+(_____ x 100)+( 6 x ____) + ( ___ x 1) or 4 000 + _________+ __________+____________ or 4 x 10 x 10 x 10 + _________ + _________ + _______ (5) 14. Use the given multiplication sentence to write 2 division sentences. 9 x 4 = 36 (2) 15. Complete ... if 9 x 8 = 72 then _________ x 9 =72 (1) 16. Is 54 + 29 equal to 29 + 54? (1) 17. Say whether the following is TRUE or FALSE. a. 67 – 45 is equal to 45 – 67 (1) b. 30 ÷ 5 is equal to 5 ÷ 30 (1) 18. Circle all the numbers in the triangle which are multiples of 3. 18 46 24 39 (1) 4

Downloaded from hlayiso.com 19. Will I count the number 46 when counting in multiples of 6 up to 100? (1) 20. Write down the first six multiples of 8. (1) 21. Circle all the multiples of 7. 29, 35, 15, 67, 49 (1) 22. What is the product of 7 and 5? (1) 23. Write down all the multiples of 6 between 40 and 60. (1) 24. Complete ... 14; 21; 28; 35 are all multiples of _____ (1) 25. Which number comes in the next arrow? 15 20 25 (1) Odd and even numbers 1. Complete the following sequences. a. 4 102 ; 4 104 ; 4 106 ; _________; __________. (1) b. 5 991; 5 989; 5 987; _________; _________; (1) 2. Draw a triangle around all the odd numbers and a circle around all the even numbers in the group. 710 804 497 418 501 213 665 (2) 3. Complete ... (1) a. ______ is the next odd number after 419. (1) b. The even number which comes just before 67 is _____. 5

Downloaded from hlayiso.com 4. Fill in the missing numbers on the number line. 639 641 645 651 (1) 5. List all the odd numbers from 1 073 to 1 083. (2) Place value of whole numbers to at least 4 –digit numbers 1. Give the value of the underlined digit in 7 694. (1) 2. Write each of the following numbers in the simplest numeric form. a. 5 000 + 300 + 20 + 1 (1) b. 2 Th + 3 T + 7 H + 2U (1) 3. Calculate the difference between the values of the underlined digits in 2 475 and 2 045. (2) 4. Fill in > or < to make correct sentences. a. 7 964 _______ 7 946 (1) b. 3 010 _______ 3 110 (1) 5. Write down the number represented in the diagram. Th H T U X X X x x X x x (1) 6

Downloaded from hlayiso.com Common fractions and decimal fractions 1. Look at the fraction wall and then answer the questions. 1 whole 1 1 2 2 1 1 1 3 3 3 1 1 1 1 4 4 4 4 1 1 1 1 1 5 5 5 5 5 1 1 1 1 1 1 6 6 6 6 6 6 1 1 1 1 1 1 1 7 7 7 7 7 7 7 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 1 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 9 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10 10 10 a. Write the fractions below from smallest to biggest. (2) , , , , , b. How many quarters make a half? (1) c. = ______. (1) d. Shade on the fraction wall. (1) 2. Complete the following conversion table. Common Fractions Decimal Fractions a._________ 0,4 1 b._________ 2 c.________ 0,08 (3) 7

Downloaded from hlayiso.com Round off to the nearest 10, 100 or 1 000 1. Complete ... 4 948 rounded off to the nearest 10 ≈ _____________. 4 948 rounded off to the nearest 10 ≈ _____________. 4 948 rounded off to the nearest 10 ≈ _____________. (3) 2. R 14,76 ≈ _________ rounded off to the nearest rand. (1) R 4,06 ≈ __________ rounded off to the nearest rand. (1) 3. Mrs Patel bought sweets for R13,99 and a packet of chips for R3,14. (2) Calculate how much she spent correctly to the nearest rand. 4. Is 1 758 closer to 1 700 or 1 800? (1) Add and subtract whole numbers 1. Calculate: a. 3 846 + 3 217 (3) b. 2 752 + 4 356 (3) 2. Calculate 5 726 – 1 334. (2) 3. Write down the missing number. 426 -______ 1 3 9 6_ (2) 4. Calculate the difference between the value of the underlined digits in the numbers 9 008 and 8 109. (3) Add and subtract common fractions 1. Lauren first eats of a chocolate cake before supper, and then eats another after supper. a. What fraction of the chocolate cake did she eat altogether? (2) b. What fraction of the chocolate cake was left? (2) 8

Downloaded from hlayiso.com 2. Complete ... + = ______ (1) 3. On Monday Ben picked one sixth of a kilogram of strawberries. On Tuesday he picked two sixths of a kilogram of strawberries. What is the total mass of the strawberries that Ben picked? (2) 4. Three fifths of the children at my party like chocolate ice-cream.How many of the 20 children at my party do not like chocolate ice-cream? (2) 5. What is + - equal to? (2) 6. Mum baked a cake and cut it into 6 equal pieces. Dad had 2 pieces. You had 1 piece. What fraction of the cake is left? (2) Multiply 2-digit numbers by 2-digit numbers. 1. Write the repeated addition sum in shortened form. (1) 5 + 5 + 5 + 5 + 5 + 5= _____ x 5 = ________ 2. Use the break down method to calculate 46 x 32. (3) 3. Use the vertical method to calculate 24 x 64. (3) 4. Complete the sentence: 20 x 8 = ______ x 20 (1) 5. Tom wrote 12 sentences with 11 words in each, that means Tom wrote ___________ words altogether? (2) Divide 3-digit numbers by 1-digit numbers 1. I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples? (3) 2. If I share 123 sweets equally amongst 7 children, how many sweets will each child get? How many sweets will be left over? (3) 9

Downloaded from hlayiso.com 3. Calculate: 722 ÷ 4 (3) 4. Fill in > , < or = to make a correct sentence. 500 ÷ 5 100 ÷ 10 (1) 5. Draw a line connecting the question in column A to the correct answer in column B. Column A Column B 125 ÷ 5 50 333 ÷ 3 25 (3) 450 ÷ 9 111 Multiplication and division as inverse operations 1. 78 x 8 = 624 means 624 ÷ 8 = ______ and 624 ÷ 78 = _____ (2) 2 Look at the number triangle and write down 2 different number sentences. 6 2 3 (2) Ratio and Rate 1. Kenny has R5,00, Mpho has R7,00 and Thato has R6,00. a. The ratio of Kenny's amount to Mpho's amount = _____________. (1) b. The ratio of Kenny's amount to Thato's amount = _____________. (1) c. The ratio of Mpho's amount to the total amount = _____________. (1) 2. Write down the ratio of the number of rabbits to the number of cows. (1) 10

Downloaded from hlayiso.com 3. James is 5 years old and his aunt is ten times older than James. Aunt's age : James' age = ________ (1) 4. Complete to express as a rate: a. 60 seedlings planted in 6 rows means _____________ seedlings per (1) row. b. 5 apples cost R4,00 means the cost is ____________ cents per apple. (1) 5. One soccer ball costs R42,50. How much will the soccer balls in the picture cost? (2) Grouping and sharing with remainders 1. How many cars will be left after sharing the following toy cars equally amongst 3 brothers? (1) 2. Calculate 41 ÷ 4. (2) 11

Downloaded from hlayiso.com 3. Troy has 127 shells in his collection. He has 10 little boxes. He wants to pack same number of shells in each box. a. How many shells will he put into each box? (1) b. How many shells will be left over? (1) 4. Complete 56 ÷ 6 = _________ remainder ________. (1) Solve problems involving common fractions, including grouping and sharing 1. One tenth of the 30 bananas is rotten. How many bananas are rotten? (1) 2. Sabrina divided 14 cupcakes equally amongst 4 learners. How many cupcakes does each learner get? (2) 3. Aunty Peggy's 5 grandchildren came to visit her. She shares a bottle of cooldrink equally amongst the 5. (1) a. What fraction of cooldrink does each child get? b. Sue gives her cooldrink to Omar. What fraction of cooldrink did Omar (1) get? 4. of 24 pine trees were chopped down for Christmas. How many trees (2) were chopped down? 5. One third of the tigers in the picture were injured. How many tigers were injured? (1) 12

Downloaded from hlayiso.com 6. Serena spent of her R60,00 pocket money on sweets and another of her money on a pen. a. Total amount spent =_________________________________ (2) b. Fraction of money left = ________________________________ (1) Problem-solving involving money 1. Calculate the change from R10,00 if I spend : a. R6,50 (1) b. R5,20 (1) 2. Calculate the cost of 3 identical toys if 1 toy costs R12,34. (3) 3. Complete the table to calculate the total value. Notes R5,00 R1,00 20c 10c Total 2x 4 6 5 4 a. R20,00 6x 3 1 5 2 b. R10,00 (2) 4. Calculate R38,32 + R7,82 + R4,00 . (2) 5. Jabu wants to buy a T-Shirt for R86,99 and a poster for R25,89. a. How much will this cost altogether? (2) b. Jabu only has R100,00 in his wallet. How much more money does he (1) need? Geometric patterns 1. Draw the next five shapes in this pattern: (1) 2. How many matches are needed to make the 4th shape? (1) 13

Downloaded from hlayiso.com 3. a. Complete the design on the wall below. (1) b. In which country can you find this design? (1) Numeric patterns 1. Complete each number pattern. a. 1; 2; 4; 7; 11; _____; _____; _____. (1) b. 1; 6; 11; _____; ______; _______; 31 (1) 2. Sipho counts like this: 0; 20; 40; 60; … a. Will the number 560 be part of this pattern? (1) b. How do you know this? (1) 3. 1 = 1 1+3 = 4 1+3+5 = 9 1 + 3 + 5 + 7 = 16 Write down the next two lines of this pattern. (2) Relationships 1. One beetle has 6 legs. Two beetles have 12 legs. How many legs do 20 beetles have? (2) 14

Downloaded from hlayiso.com 2. Sammy has 23 marbles. Imraan has 12 more marbles than Sammy. Together they have 58 marbles. Write down the number sentence for the (2) above statement. 3. Identify the rule in each sequence. a. 44 ; 49 ; 54 ; 59; … (1) b. 67 ; 77 ; 87 ; 97; … (1) c. 2 ; 6 ; 18 ; 54; … (1) 4. A pattern is shown in the table. Explain it in words. 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 2 2 4 6 8 10 12 14 16 18 3 3 6 9 12 15 18 21 24 27 4 4 8 12 16 20 24 28 32 36 5 5 10 15 20 25 30 35 40 45 6 6 12 18 24 30 36 42 48 54 7 7 14 21 28 35 42 49 56 63 (1) Number sentences 1. Write this word problem as a number sentence. Yusuf has R84, 00 to buy fancy chocolates for his friends. One fancy chocolate costs R6, 00. How many chocolates can he buy? (2) 2. Create your own word problem using the number sentence 35 x 9 = 315. (2) 3. Which instruction was used in the table below. Number I started with Number after using the instruction 3 7 (1) 15

Downloaded from hlayiso.com 4. Fill in + or – to make the following sentences correct. a. 165 ______ 145 _____ 48 = 262 b. 789 ______ 709 ______207 = 287 (4) Recognise and name polygons 1. Trapezium Paralellogram Pentagon Hexagon Use the names given in the table to name the following polygons. A B DDD C (4) 3-D objects 1. Study the following 3-D objects and complete the table below. A B Name of Number of Number of Number of object faces vertices edges A B (4) 16

Downloaded from hlayiso.com Recognise, draw and describe line(s) of symmetry in 2-D shapes 1. Draw in the line(s) of symmetry for those pictures which you think are symmetrical. (3) 2. List any four capital letters in the alphabet that are symmetrical. (2) 3. Mark the shapes that are symmetrical with a "x". (2) 4. Draw the other part of the face to make a symmetrical picture. (2) 17

Downloaded from hlayiso.com Tessellation 1. Which of the following shapes can be used to tesselate a surface. (1) 2. Create your own tesselation. (2) 3. Why do squares and triangles tesselate and circles cannot be used in a tesselation? (2) Identify everyday objects from different views 1. Match the drawing to the child who drew it. Andrew Vuvu Lundi 1 2 3 (3) 18

Downloaded from hlayiso.com Locate positions of objects on a coded grid 1. Look at the map of the island and write down the location of each of the following, by combining a letter and number e.g. D 10. (1) a. The pirate (1) b. The lifeboat (1) c. The cave (1) d. The treasure G F E D C B A 1 2 3 4 5 6 7 8 9 10 11 12 2. A B C D 1 2 3 4 Use the above grid to answer the questions. a. Plot the following points A3 ; B1 and C3 b. Join the points and name the shape you have created. (3) 19

Downloaded from hlayiso.com Time 1. Look at the Departures board at the airport and answer the question which follows. Departures Destination Time Flight Number Mossel Bay 07:45 S.A.A. 769 Knysna 10:20 B.A. 172 Johannesburg 20:00 S.A.A. 372 Draw an analogue clock face to show the time of departure of flight (2) number S.A.A.769. 2. A man leaves Cape Town at 10.30 a.m. and arrives in George at 3.45 p.m. How long did he take to complete his journey? (2) 3. Complete ... a. A century = ____________ years. b. 3 years = __________ months. c. June has _________ days. d. A decade = _________ months (2) 4. Complete the table. Number of 1 2 5 10 minutes Number of seconds (2) 20

Downloaded from hlayiso.com Measurement 1. 500 9 750 1. 340 B C D A I 340 m 500 m 750 m a. Use the letters A , B, C and D to arrange the containers from the one that holds the least to the one that holds the most. (1) b. How much more cool drink does the Cola container hold than the Pop can? (1) c. How much cool drink do the four containers hold altogether? (2) 2. Which unit of measurement is used to calculate the amount of water in (1) a swimming pool? 3. Complete the following: a. 0,5 litres = _______ml b. 2 cm = ________mm c. 500 mm = _______m d. 1 500g = ______kg (2) 4. Shireen used 2 litres of water for making tea and coffee, 50 litres of water for doing washing and 32 litres of water in her garden. How much water did she use? (2) 21

Downloaded from hlayiso.com 5. Draw arrows to match column A to column B. A B Unit to measure distance kilogram Unit to measure mass litres Unit to measure liquids metres (3) 6. Measure and calculate the perimeter of each shape in mm. A B (4) 7. On the grid, draw two more different shapes that cover exactly the same number of squares as the given rectangle. (2) 22

Downloaded from hlayiso.com 8. How many squares does this shape cover? (1) 9. Rectangle A Rectangle B a. Which rectangle is the biggest? b. How many small squares make up rectangle A? c. How many small squares make up rectangle B? (3) 10. What is the area of the shaded part? (1) 23

Downloaded from hlayiso.com Data handling 1. The graph shows the number of awards learners won in a Mathematics test. Awards won by learners 6 Number of awards 5 4 3 2 1 0 Amina Lucky Sam Tammy Names of learners (4) Complete the frequency table. Name Tally marks Frequency Amina Lucky Sam Tammy a. Who received the most awards? (1) b. How many awards were won altogether? (2) 24

Downloaded from hlayiso.com 2. The bar graph shows the favourite cool drink flavours of Grade 4D learners. Grade 4 D's Favourite Cool Drink 16 14 12 Number of learners 10 8 6 4 2 0 Cola Orange Peach Granadilla Pineapple Lemon Cool drink flavours a. What is the difference between the number who prefer the cola (1) to the lemon flavour? b. How many Grade 4D learners were questioned altogether? (2) 25

Downloaded from hlayiso.com 3. The pictograph shows the popular toys amongst learners. Cars Dolls Kites Tops Paint Play Dough KEY- 1 face represents 5 learners. a. Which toy is the most popular? b. Which toy is the least popular? c. How many learners chose play dough? d. How many more learners prefer dolls to tops? (4) Probability 1. State whether the following events are likely to happen or unlikely to happen. a. Tasneem will have two birthdays in 2012 b. The day after Wednesday will be Thursday. (3) c. I will inhale air today. 26