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YEAR 9 MATHEMATICS EXAM TERM 1 (75 Marks) NAME……………………………………… LEARNING GROUP………… Numbers TOPIC MARK /42 Number: Algebra TOTAL MARK /33 /75 % [42 marks] 1. 356+ 1277 2. 613 – 57 3. 325 13 4. 3913 13 5. 4 (7 +2) 6. 22 – 24 4 7. 50 + 16 4 – 3 2 8. 7( 16 –2) + 3( 23 + 3 ) 9. 10. 3 – 3 3 11. 6 5 12. (4 – 1) ((7 – 4)+3) 13. (–2)3 14. –62 15. 6 + (–7) 2 16. 0.5 0.2 17. 4 + 2.6 + 1.2+ 8 18. Round 15.69 to one decimal place 5 26.4 19. Fill the space so that both fractions are equivalent. 5 9 45 22. 3 1 7 7 3 as an 4 improper fraction. 20. 23. Rewrite 2 1 3 3 5 21. Rewrite number. 24. 6 7 7 12 46 as a mixed 5 25. 28. 2 1 3 5 3 Rewrite 3 as a 4 26. Find 4 of 60 kg. 5 27. Rewrite 29. Calculate 30% of $950. 30. Change a mathematics test mark of 42 out of 75 to a percentage. 32. List all the factors of 36. 33. Write down the 9th even number. percentage. 31. Find the fifth multiple of 6. 2 as a decimal. 5 34. Find the Lowest Common Multiple (LCM) of 3, 5 and 10. 35. Find the highest common factor (HCF) of the numbers 24 and 32. 36. If you take any whole number and multiply it by two and then add four, do you always get an even number or an odd number? 37. What is the shortest length of rope that you can cut into either 8m or 6m lengths exactly? Explain your answer. [2] 38. Ngawai eats 4 oranges and 5 bananas every week. How many pieces of fruit does she eat altogether in a half of the year (26 weeks)? [2] 39. There are eleven year 9 Maths classes, each with 26 students. If each had 2 students added to it then how many students, in total, would there be in year 9? [2] 40. 2 Algebra: [33 marks] 1. Simplify 3m + 4m 2. Simplify 7p + p 3. Simplify 11g + 5g + 7 + 6 4. Simplify 12x2 + 2x2 5. Simplify 5x + 4 + 2x + 5 6. Simplify 2xy + 2 + 11yx – 6 7. 8. Simplify 3x 4x 9. 10. Expand 4(a – 2) 11. Expand a(3a – 2) 12. Expand and simplify 2(a + 7) – 3(a – 4) 13. Simplify 2 3a 4b a 14. Simplify 9a 3 15. Simplify 12 x 2 4x Simplify x x x x Simplify a a 3 Substitution: If p = 3, q = 2, r = 5 and s = –2 then evaluate the following: 16. 3p – r 17. p( q + r ) 3 18. pqr 19. p – qs 20. p2 + pq – s 21. pq – r(p – s) 22. Solve the equation 4x 12 23. Solve the equation [2] 4x 3 23 3 24. 26. Solve the equation [2] 7 x 17 25 25. Solve the equation [2] 2(3x-1)=70 The following pattern is made from tiles: (a) Draw the next diagram for this pattern. (b) Complete the table below: Number of white tiles (n) Number of grey tiles (g) 1 2 3 10 4 5 6 14 (c) If g stands for the number of grey tiles and n stands for the number of white tiles, write down the rule (formula) for this pattern. [2] g = ______________ (d) How many grey tiles will there be when there are 30 white tiles? _________________ Please fill in the following report How long did you Did you have a study for this scientific calculator? exam? Is it your own calculator? How hard do you normally try in class? (circle) 1 = very little 5 = very hard What do you think your percentage will be for this exam? What can the teacher do to help you achieve better results? What can you do to help yourself improve? 1 2 3 4 5 4