GRADE 10 MATHEMATICS PAPER

Student Name

Testing Date

INSTRUCTIONS

1. Answer ALL the questions.

2. Clearly show ALL calculations, diagrams, graphs etc. that you have used in determining your

answers.

3. Answers only will not necessarily be awarded full marks.

4. An approved scientific calculator (non-programmable and non-graphical) may be used, unless stated

otherwise.

5. If necessary, answers should be rounded-off to TWO decimal places, unless stated otherwise.

6. Diagrams are NOT necessarily drawn to scale.

7. Number the answers correctly according to the numbering system used in this question paper.

8. It is in your interest to write legibly and to present your work neatly.

1.1 Factorise the following expressions fully:

1.1.1 

1.1.2 

1.1.3 

1.2 Simplify the following expressions fully:

1.2.1 

1.2.2 

1.2.3 

QUESTION2

2.1 Solve for x 

2.1.1 

2.1.2 

2.1.3 

2.1.4 

2.1.5 

2.2 The following inequality is given:  where 

2.2.1 Solve for x. 

2.2.2 Hence, and without the use of a calculator, show that   would

satisfy the above inequality.

QUESTION 3

3.1 Solve for x and y simultaneously: 

3.2 Given that   and  , determine the value of b

QUESTION 4 

4.1 Which description below does NOT guarantee that a quadrilateral is a square?

4.2 Which of the following statements is true?

4.3 In the diagram below rectangle KLMN has KM= 6x + 16 and LN = 49.

Find the value of x. 

QUESTION 5

5.1 The value of  33  lies between two integers. Find these integers without finding the exact  value of  33.

5.2 Convert the following recurring decimal fraction    to a common fraction in its simplest  form

QUESTION 6

6.1 Simplify:

6.1.1 

6.1.2