GRADE 10 MATHEMATICS PAPER

TIME: 1 HOUS MARKS: 150

Q1:Student Name

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Q2:Testing Date

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:INSTRUCTIONS 1. Answer ALL the questions.2. Clearly show ALL calculations, diagrams, graphs etc. that you have used in determining youranswers.3. Answers only will not necessarily be awarded full marks.4. An approved scientific calculator (non-programmable and non-graphical) may be used, unless statedotherwise.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:

Q3:1.1.1[数学公式]

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Q4:1.1.2[数学公式]

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Q5:1.1.3[数学公式]

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:1.2 Simplify the following expressions fully:

Q6:1.2.1[数学公式]

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Q7:1.2.2[数学公式]

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Q8:1.2.3[数学公式]

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:QUESTION2

:2.1 Solve for x

Q9:2.1.1[数学公式]

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Q10:2.1.2[数学公式]

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Q11:2.1.3[数学公式1][数学公式2]

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Q12:2.1.4[数学公式]

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Q13:2.1.5[数学公式]

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:2.2 The following inequality is given:[数学公式1]where[数学公式2]

Q14:2.2.1 Solve for x.

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Q15:2.2.2 Hence, and without the use of a calculator, show that[数学公式]wouldsatisfy the above inequality.

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:QUESTION 3

Q16:3.1 Solve for x and y simultaneously:[数学公式1][数学公式2]

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Q17:3.2 Given that[数学公式1]and[数学公式2], determine the value of b

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:QUESTION 4

Q18:4.1 Which description below does NOT guarantee that a quadrilateral is a square?

A.Quadrilateral is both a rectangle and a rhombus
B.Quadrilateral is a parallelogram with perpendicular diagonals
C.Quadrilateral has all sides equal and all angles equal
D.Quadrilateral has all right angles and has all sides equal

Q19:4.2 Which of the following statements is true?

A.All quadrilaterals are rectangles
B.All quadrilaterals are squares
C.All rectangles are quadnlaterals
D.All quadrilaterals are parallelogran1s

Q20:4.3 In the diagram below rectangle KLMN has KM= 6x + 16 and LN = 49. Find the value of x.[图片]

A.X = 5,5
B.X = 33
C.X = 4.5
D.X = 6.5

:QUESTION 5

Q21:5.1 The value of33lies between two integers. Find these integers without finding the exactvalue of33.

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Q22:5.2 Convert the following recurring decimal fraction[图片]to a common fraction in its simplestform

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:QUESTION 6

:6.1 Simplify:

Q23:6.1.1[数学公式]

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Q24:6.1.2[数学公式]

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GRADE 10 MATHEMATICS PAPER
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