NAME: TEACHER: Pakuranga College Year 9 Mathematics 2014 Examination Time: 2 hours Sections: Topic Time Number 30 mins Algebra 30 mins Statistics 20 mins Measurement 20 mins Geometry 20 mins Score NZC Level Students are advised to bring a Calculator, ruler, pen, pencil and eraser. Paper for working will be provided. Top down marking means you do not need to do level 3 questions to gain level 4 or 5. No copyright issues APN 2014 Page 1 Number Section Level 3 (10 minutes). 1. 3+15= __ 14. 3*(2+5)=__*__=__ 2. 1.5 + 0.5 = __=__ 15. What comes next? 1,2,4,8,16,__ 3. 2003-47=____ 16. How many tens are in 7084? __ 4. 3*40=__ 17. Which is bigger ½ or ¼ ? ___ 5. 97-67=___ 18. Which is smaller 1/13 or 1/12? ___ 6. 15/3=___ 19. Write 50% as a fraction _____ 7. 4/50 – 2/50 = __/__ 20. Write 0.25 as a percentage ____ 8. Reorder the numbers to make 21. Write 2% as a decimal ____ addition easier, use tidy numbers. 22. 9/10 as a decimal is ___ 5+4+46+75=(__+__)+(__+__) 23. 25% of $80 is ____ List the prime factors of 12: 24. List all the factors of 26: 9. _________________________ __________________________ List the first 6 multiples of 8: 25. 4 to the power of 2 =42 = ___ _________________________ 26. ¾ - ½ = ___ 11. What is the square root of 100? __ 27. The denominator of 8/5 is __ 12. Given 6 squared is 36, what is the 28. The numerator of 6/8 is __ square root of 36? __ 29. Simplify 30/60 = __/__ (3+8)*(6-3)=__*__=__ 30. Write 10/40 as a percentage ___% 10. 13. Level 315-19 EOY Exam Year 9 Level 3 20-24 Level 3+ 25-30 Thursday, 23 October 2014 by APN Page 2 Number Section Level 4 (10 minutes). 1. 2003-246=____ 15. Which is bigger 5/8 or 4/7? ___ 2. 32*5=__ 16. Which is smaller 7/8 or 1/13? ___ 3. 9-31=___ 17. 0.3 times 0.7 = ____ 4. 2.4 - 2.6=___ 18. Write 65% as a fraction _____ 5. 3/5 + 4/5 = __/__ 19. Write 0.1 as a percentage ____ 6. List the prime factors of 81: 20. Write 5.7% as a decimal ____ _________________________ 21. What is 25% of $80? ____ 7. LCM of 15 and 25___________ 22. 5/12 as a decimal is ___ 8. HCF of 15 and 25___________ 23. 65% as a fraction is ___ 9. What is the cubed root of 8? __ 24. 72% of $40 is ____ 10. Given 3 cubed is 27, what is the 25. 5 to the power of 4 = 54= ___ cubed root of 27? __ 26. -2 to the power of 2 =(-2)2 = ___ If a cubed is b, what is the cubed 27. Round 3.09 to the nearest whole 11. root of b? __ number ____ 12. (3-2)*(6+7)=__*__=__ 28. Round 5.608 to the nearest tenth: __ 13. What comes next? 9,7,5,3,__ 29. Simplify 30/80 = __/__ 14. How many tenths are in 768.47? __ 30. Decrease 150 by 70% _____ Level 415-19 EOY Exam Year 9 Level 4 20-24 Level 4+ 25-30 Thursday, 23 October 2014 by APN Page 3 Number Section Level 5 (10 minutes). 1. 305 in standard form= ___ * 102 20. LCM of 15 and 20___________ 2. 2918 in standard form = ____ * ____ 21. What is the cubed root of 64? __ 3. -31+17+23-19=___ 22. Given 2 cubed is 8, what is the cubed 4. 5(½ - 1/3) = __*__=__ 5. Round 20.324 to 2 dp= _____ 6. Round 20.356 to 4 sf = _____ 7. 30*95%=__ 24. 8. 22% of 20*52=____ 25. 9. Increase $75 by 5%=______ 10. Decrease $87 by 15%=_____ 11. 3% times 1%=___ fence. How many people are needed to 12. 0.15 times 260=___ paint the fence in 4 hours? _____ 13. If 4 hats takes two balls of wool, how root of 8000? _____ 23. Given 5 cubed is 125, what is the cubed root of 0.125? _____ 73 – 102 = _____ Put in order 0.193, 0.2, 0.29, 0.19 __________________________ 26. 27. 3 people take 12 hours to paint a A car is travelling at 50 km per hour. many balls of wool do I need to have to How many hours will it take to travel mane 8 hats? __________ 150km? _____ 14. 32 – 28 =___ 15. 19/5 – 14/5 = __/__ up firewood, how many minutes would 16. (110-210)/5=___ it take 6 people? _____ 17. 5*4 – 5*9 = 5*___ = ___ 29. 3/5 times 2/9 = ___ 18. Which is smaller 0.09 or 0.1? ___ 30. Write 3.867 * 103 in decimal form 19. List the common prime factors of 36 28. If three people take five hours to chop ___________ and 42 _____________________ Level 515-19 EOY Exam Year 9 Level 5 20-24 Level 5+ 25-30 Thursday, 23 October 2014 by APN Page 4 Algebra Section Level 3 (10 minutes). 1. Continue the pattern, draw the next three terms. [3 marks] 2. Complete the table: [8 marks] Term n 1 2 Number 3 of lines. 3 4 5 6 7 10 3. Describe the rule for the next pattern: [1 mark] 4. Describe the rule for the nth pattern: [1 mark] 5. Graph the pattern. The term or pattern number (n) is on the x axis. The number of lines in the pattern on the y axis. [5 points, 0.5 for each correctly plotted point] 6. If the dots were joined up with a line, (which we do NOT do because there are no patterns between the patterns), what would the gradient of this line be? [1 mark] 7. How does the gradient connect with the rule? [1 mark] Level 35-9 EOY Exam Year 9 Level 3 10-14 Level 3+ 15-20 Thursday, 23 October 2014 by APN n Page 5 Algebra Section Level 4 (10 minutes). 1. A function machine has an input and an output. The first function takes the number which is input and outputs that number multiplied by 3. The rule is 3n. Can you work out the rules for the other 3 function machines and write the rule in the empty box. [3 marks: 1 marks per rule] NZMathsAnswersHere 2. What can you say about n + (n+1) + (n+2) compared with 3n + 3? [1 Mark] 3. Expand the following expressions: [5 marks] a. 7(a+2b)= d. 2x(3x-1)= b. 5(x+2)= e. 2(2x+1)+4(x+2)= c. 2a(a+3b)= 4. Solve for x: [5 marks] a. 10+x=15 d. 7x+7=28 b. 3x=21 e. 3+2x=6+x c. 3(x+2)=18 Algebra Section Level 5 (10 minutes). 1. Fill out the table in relation to the graph below. [12 marks, 1 per answer] Function X-intercept Y-intercept Gradient LineA LineB CurveC Equation 2. What are the exact co-ordinates of the point where LineA and LineB intersect? [2 Marks] Show all working. 3. What are the co-ordinates of the points where LineA and CurveC intersect? [2 Marks] Show all working. Level 45-8 Level 4 9-12 EOY Exam Year 9 Level 4+ 13-16 Level 517-20 Level 5 22-25 Thursday, 23 October 2014 by APN Level 5+ 26-30 Page 6 Statistics Section Level 3 (10 minutes). 1. Explain each step of the PPDAC cycle: [10 Marks] P-P-D-A-C Short description P is for P is for D is for A is for C is for 2. This image is from new.censusatschool.org.nz. Data Viewer. a. Which part of the PPDAC cycle does this image belong? [1 Mark] b. How many males were in this sample? [2 Marks] c. How many females were in this sample? [2 Marks] d. Is the sample large enough to give information about the population? [2 marks] e. What is the population? [2 Marks] f. What else do the Box Plots tell you about the sample? [10 Marks] Fill in the table below by estimating the values from the Box plot. Males Females Lowest Armspan Lower Quartile Median Upper Quartile Highest Armspan g. What units is the arm-span measured in? [1 Mark] Level 315-19 EOY Exam Year 9 Level 3 20-24 Level 3+ 25-30 Thursday, 23 October 2014 by APN Page 7 Statistics Section Level 4 (5 minutes). 1. Discus the similarities and differences between this sample and the sample on the previous page (inset). [14 Marks] Describe the Similarity or Difference It matters because? Statistics Section Level 4&5 (5 minutes). 1. Discus this sample, using statistical language. Words that might help you include: representative, difference, variation, outliers, interquartile range, spread, central tendency. [ 16 Marks] Level 47-10 Level 4 11-14 EOY Exam Year 9 Level 4+ 15-18 Level 519-22 Level 5 23-26 Thursday, 23 October 2014 by APN Level 5+ 27-30 Page 8 Measurement Section Level 3 (10 minutes). 1. Fill in the table below:[15 Marks, one per cell] Level 35-8 EOY Exam Year 9 Perimeter Area Shape 4 units 1 unit squared Square Volume in units cubed. Surface Area in units squared. Total outside edges in units. Level 3 9-12 Level 3+ 13-15 Thursday, 23 October 2014 by APN Page 9 Measurement Section Level 4 (5 minutes). 1. Estimate (or calculate) the number of blocks used to create this image. The clarity of your working is worth more marks than the answer. [5 Marks] 2. Explain any assumptions made. [5 Marks] 3. Calculate (or estimate) the surface area of the shape. [5 Marks] Measurement Section Level 5 (5 minutes). 1. Name the 3D shape. [3 Marks] 2. Calculate the volume of this 3D shape. [4 Marks] 3. Calculate the surface area of this 3D shape. [4 Marks] 4. Calculate the edge length of this 3D shape. [4 Marks] Level 47-10 Level 4 11-14 EOY Exam Year 9 Level 4+ 15-18 Level 519-22 Level 5 23-26 Thursday, 23 October 2014 by APN Level 5+ 27-30 Page 10 Geometry Section Level 3 (10 minutes). 1. Fill in the table below.[15 Marks: 5 Marks per transformation] Label the Object and Image. [1] Name of Label the transformations identifiers.[1] transformation [1] Give as much detail as you can.[2] is the object We can keep building on the pattern: 2. Sketch and Name five polyhedra (platonic solids, prisms, pyramids) of your choice. [10 Marks- 1 Mark per sketch, 1 Mark for the correct name] Level 310-14 EOY Exam Year 9 Level 3 15-19 Level 3+ 20-25 Thursday, 23 October 2014 by APN Page 11 Geometry Section Level 4 (5 minutes). 1. Fill in the table with the missing information, the first row is done for you. [12 Marks] Name 3D Faces; Edges; Vertices. Net Faces= 20 Edges=30 Vertices=12 Icosahedron Geometry Section Level 5 (5 minutes). 1. Label this diagram with everything you can, giving the geometrical reasons. The dotted lines are parallel.[13 Marks: Find at least 8 Angles and give at least 5 reasons] Level 47-9 Level 4 10-12 EOY Exam Year 9 Level 4+ 13-15 Level 516-18 Level 5 19-21 Thursday, 23 October 2014 by APN Level 5+ 22-25

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