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# Maths Essay

2640 words - 11 pages

ANNUAL NATIONAL ASSESSMENT 2013

MATHEMATICS

EXEMPLAR QUESTIONS

This booklet consists of 32 pages, excluding the cover page.

GUIDELINES FOR THE USE OF ANA EXEMPLARS 1. 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: 1.1 At the beginning of a lesson as a ...view middle of the document...

It is important to ensure that learners eventually get sufficient practice in responding to the exemplar. 2. 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. 3. 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.

2 Grade 9 Mathematics ANA Exemplar

1. MULTIPLE CHOICE QUESTIONS Unless otherwise stated, in multiple choice questions you must circle the letter of the correct answer. A practice exercise is provided below.

3 Grade 9 Mathematics ANA Exemplar

1.1

Which of the following numbers is a rational number?

A B C D

√3 √16 √−9 √13

1.2

The next number in the sequence 3 ; 6 ; 11 ; 18; … is A B C D 25 24 26 27

1.3

Which of the following trinomial expressions is a polynomial? A B C D 4 1 − −7 +1 √ +1 1 − −7 4 +1 − −7 4 +1 −√ −7 4

1.4

In the adjacent quadrilateral A B C D ∆ ∆ ∆ ∆ ⫼∆ ⫼∆ ≡∆ ≡∆

=

A

=

, therefore:
D

E

B

C

4 Grade 9 Mathematics ANA Exemplar

1.5

What is the size of each angle in a regular pentagon? A B C D 90° 120° 100° 108°

1.6

Complete: √17 − 15 = A B C D 2 4 8 64

1.7

Complete: 2 A B C D +3 = 5 5 1 6 5 6 = −6 then 9 4 −9 −4 =

1.8

If A B C D

5 Grade 9 Mathematics ANA Exemplar

1.9

If the length of the side of a square is 0,12 cm then the area = A B C D
0,24 0,144 1,44 0,0144

1.10

A married couple decided to have two children. The tree diagram below shows all the different combinations of boys and girls that the couple could have. B represents a boy and G a girl.

B B G B G
What is the probability that both children will be girls? A B C D 0,25 0,5 1 0,75 [10]

G

6 Grade 9 Mathematics ANA Exemplar

2. NUMBERS, OPERATIONS AND RELATIONS 2.1.1 2.1.2 Write 6,7 × 10 in standard form. ________________________________ in scientific notation.__________________________ (1) (1)

Write 0, 00000356

2.2

Simplify: 7,125 ÷ √25 ____________________________________________________ ____________________________________________________ (2)

2.3 There are 96 boys and 120 girls in Grade 9. Write down the ratio of the number of boys to the number of girls in the class. _____________________________________________________________ _____________________________________________________________ (2)

2.4 A bus driver covers a certain distance in 3 hours at an average speed of 80 /ℎ. How long will...

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