MATHEMATICS EXEMPLAR QUESTIONS - learning …

1 ANNUAL NATIONAL ASSESSMENT 2013 GRADE 6 MATHEMATICS EXEMPLAR QUESTIONS This booklet consists of 20 pages, excluding the cover page Grade 6 MATHEMATICS EXEMPLAR QUESTIONS Page 2 GUIDELINES FOR THE USE OF ANA exemplars QUESTIONS 1. How to use the EXEMPLAR QUESTIONS While the EXEMPLAR QUESTIONS 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.

2 Carefully selected individual EXEMPLAR QUESTIONS , or a manageable group of QUESTIONS , can be used at different stages of the teaching and learning process as follows: 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. 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.

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. At all stages to expose learners to different techniques of assessing or questioning, how to answer multiple-choice (MC) QUESTIONS , open-ended (OE) or free-response (FR) QUESTIONS , short-answer QUESTIONS , etc.

4 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 the EXEMPLAR QUESTIONS . 2. Memoranda or marking guidelines A typical example of the expected responses (marking guidelines) has been given for each EXEMPLAR question and for the ANA model test. Teachers must bear in mind that the marking guidelines can in no way be exhaustive.

5 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. 3. Curriculum coverage It is extremely critical that the curriculum must be covered in full in every class. The EXEMPLAR QUESTIONS 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. Grade 6 MATHEMATICS EXEMPLAR QUESTIONS Page 3 1. What is the missing number in the number sequence?

6 _____ ; 46 ; 37 ; 28 ; 19 A 9 B 54 C 55 D 83 (1) 2. What is the seventh number in the following sequence? 5; 10; 15; 20; .. (1) 3. Complete: 69 32 = _____ 7. A 30 B 36 C 37 D 44 (1) 4. Select a number sentence to match the following statement: Seven less than a certain number m is equal to twelve. A 7 m = 12 B 12 m = 7 C m + 7 = 12 D m 7 = 12 (1) 5. Oliver and Jacob listed the marks for their MATHEMATICS class tests. Jacob s marks: 20; 16; 10; 3; 12; 10; 11; 14; 5; 19; 4 What is Jacob s median mark?

7 (1) Grade 6 MATHEMATICS EXEMPLAR QUESTIONS Page 4 6. What is the value of D? 21 D = 27 21 A 27 B 6 C 21 D 15 (1) 7. What is the middlemost score in the data set below? 11; 12; 11; 14; 14; 13; 12; 11 A 11 B 12 C 13 D 14 (1) 8. The following are the shoe sizes of some Grade 6 learners. 7 8 7 6 5 5 7 4 6 7 8 4 7 5 6 What is the mode of the shoe sizes? What is the median of the shoe sizes? (2) 9. Which number has resulted from rounding off a certain number to the nearest 100 000? A 278 300 B 345 670 C 750 000 D 800 000 (1) Grade 6 MATHEMATICS EXEMPLAR QUESTIONS Page 5 10.

8 39 569 was rounded off to 40 000. To which number was it rounded off? A 5 B 10 C 100 D 1 000 (1) 11 Round 35 963 off to the nearest 100. A 35 000 B 35 960 C 35 900 D 36 000 (1) 12. What is the missing decimal number in the following number sequence? 13,25 ; 13,3 ; _____ ; 13,4 ; 13,45 A 13,30 B 13,35 C 13,5 D 13,40 (1) 13. Write down the next decimal number. 0,79 ; 0,76 ; 0,73 ; 0,7 ; _____ (1) 14. Complete the following number pattern.

9 1,24; 1,23; 1,22; 1,21; 1,20; _____ (1) Grade 6 MATHEMATICS EXEMPLAR QUESTIONS Page 6 15. The tape measure indicates centimetres on the bottom scale. What is the length indicated by the arrow? A 1,48 m B 14,8 m C 14,8 cm D 14 800 mm (1) 16. Write down the length of the pencil in mm and in cm? _____ mm _____ cm (2) 17. All the factors of 36 are listed in A 1, 2, 3, 6, 8, 12, 18, 36 B 1, 2, 3, 4, 9, 12, 18, 24 C 1, 2, 3, 4, 6, 9, 12, 18, 36 D 1, 2, 3, 6, 9, 16, 18, 36 (1) 18. 1, 3, 5, 9, 25, 45, 75 and 225 are factors of 225.

10 Which factor is missing? (1) 19. Write down all the factors of 24. (2) Grade 6 MATHEMATICS EXEMPLAR QUESTIONS Page 7 20. What volume does the arrow on the jug indicate? A 301 m B 310 m C 320 m D 3,2 (1) 21. How much water will a full kitchen kettle hold? A m B C 107 D k (1) 22. Which one of the following statements is correct for both shapes? A All sides are equal. B Both have 4 lines of symmetry C Both have 4 parallel sides D Diagonals bisect each other.