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Kinross College Year 10 Mathematics Exam Semester 1 2016 1. Section 1 Multiple choice Total 25 marks one mark per question. 1 The simplified form of 7 2 5 is,2 The expanded and simplified form of 2 3 3 2 is. b 2x 2 3x 6,c 2x 2 6x 6,d 2x 2 3x 6,3 The fully factorised form of 8 24 is. 4 3 5 2 5 3 is equal to, Kinross College Year 10 Mathematics Exam Semester 1 2016 2. 5 36 13 12 2 simplifies to,6 The value of x in the triangle shown is. 7 A 6 metre long ladder makes an angle of 25 with the wall The distance form the base of the. ladder to the wall is closest to, Kinross College Year 10 Mathematics Exam Semester 1 2016 3.

8 For the shape shown to be a rectangle the length of the diagonal must be. 10 The value of x in the diagram shown is equal to. Kinross College Year 10 Mathematics Exam Semester 1 2016 4. 11 If a 2 b 5 and c 3 then b 2ac evaluates to,12 The solution to the equation 2x 5 17 is. 13 The solution to the equation 5x 12 6 x is,14 Solve the following inequality 4 4 20. Kinross College Year 10 Mathematics Exam Semester 1 2016 5. 15 Which number line shows 2x 4 8,16 The solution to the equation. 17 Expand and simplify m 4 m 4, Kinross College Year 10 Mathematics Exam Semester 1 2016 6. 18 Factorise the following by finding the highest common factor. 19 Expand and simplify x 4 2, When the expression 3 3 3 is simplified it becomes.

Simplify the following using the fifth index laws, Kinross College Year 10 Mathematics Exam Semester 1 2016 7. Questions 22 and 23 relate to the following right angled triangle. 22 The value of cos in the diagram above is,23 The value of in the diagram above is. 3 6 4 15 simplifies to, Kinross College Year 10 Mathematics Exam Semester 1 2016 8. 25 Simplify the following using index laws Express your answer with. positive indices,END OF SECTION ONE, Kinross College Year 10 Mathematics Exam Semester 1 2016 9. Section 2 Written answer Total 100 marks, 1 Find the value of these expressions if x 4 y 5 and z 2 4 Marks.

2 Write the following in index form 3 Marks,a 3 3 3 3 3. 3 Which side AB AC or BC of these triangles is Label. I the hypotenuse II the opposite to III the adjacent to. Kinross College Year 10 Mathematics Exam Semester 1 2016 10. 4 Simplify the following algebraic expressions 7 Marks. a 2 2 8 2 2 3 2 b 4 2 3,c d 2 5 2 3, 5 Expand the following algebraic expressions and simplify where. appropriate,a 3 2 2 3 2 Marks,b 7 5 2 Marks,c 2 5 8 4 6 2 Marks. Kinross College Year 10 Mathematics Exam Semester 1 2016 11. 6 Solve the following equations 6 Marks, 7 Factorise the following by finding the highest common factor 4 Marks. 8 Simplify each of the following expressions below Leave your answers in 4 Marks. index form, Kinross College Year 10 Mathematics Exam Semester 1 2016 12.

9 Simplify the following using the index laws and express using positive 3 Marks. indices only,10ab 4 9a 4 b 3,9 m 5 n 2 n 6, 10 Find the value of these expressions if a 3 b 4 and c 6 4 Marks. 11 Solve each of the following equations 10 Marks,a 4 3 20 b 8 15 5 6. Kinross College Year 10 Mathematics Exam Semester 1 2016 13. 12 Solve each of the following inequalities and then show each solution on a 6 Marks. number line, 13 For each of the following statements write an equation or inequaltiy and. solve for the pronumeral,a If x is added to 12 the result is 8 2 Marks. b If x is divided by 3 then 2 is added the result is 8. c If a number x is multiplied by 3 the result is less than or equal to 9. 14 Simplify the following,a b 4 Marks, Kinross College Year 10 Mathematics Exam Semester 1 2016 14.

YEAR 10 AE MATHEMATICS EXAMINATION SEMESTER 1 2016 QUESTION AND ANSWER BOOKLET STUDENT NAME TEACHER DATE TIME ALLOWED FOR THIS PAPER Reading time before commencing work 10 minutes Working time for this paper 105 minutes MATERIAL TO BE PROVIDED BY THE SUPERVISOR This Question Answer Booklet MATERIAL TO BE PROVIDED BY THE CANDIDATE Pen pencil for answering questions

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