MATH40237 Fundamental Mathematics for University

FMU Assessment Test B (Version 2) 1 Test Booklet Assessment Test B STEPS Central Queensland University All assessment must be submitted with the details of this page completed and signed. PLEASE USE BLOCK LETTERS Student Number: Student Name: Course Name: Fundamental Mathematics for University Assessment Item: Assessment Test B (version 2) Assessment will not be marked unless the student signs the following declaration STUDENT DECLARATION: I certify that this assessment item is my own work, based on my personal study and/or research, and I have not copied in part or whole or otherwise plagiarised the work of other students and/or persons. / / Signature Date MARKS Marker’s Initials Total: %Result: FMU Assessment Test B (Version 2) 2 Central Queensland U N I V E R S I T Y Skills for Tertiary Education Preparatory Studies (STEPS) Fundamental Mathematics for University – Distance (MATH40237) Assessment Test B (Version 1) INSTRUCTIONS: 1. Write your answers on the pages of the Test Booklet. 2. Attempt all questions. 3. All working must be shown. 4. Additional paper is at the back of this Test Booklet 5. Marks allocated for each question, or part of question, are shown on this Test Booklet. 6. Calculators may be used but remember all working must be shown. 7. Return test to: For Email: [email protected] (will need to scan in test and send as a attachment) FMU Assessment Test B (Version 2) 3 Metric Conversions Imperial Conversions Length Length 10mm = 1cm 12in = 1ft in: inches 100cm = 1m 1000mm = 1m 3ft = 1yd ft: feet 1000m = 1km 36in = 1yd yd: yard 5280ft = 1mi mi: mile Area Mass (10mm)2 = 100mm2 = 1cm2 16oz = 1lb oz: ounce (100cm)2 = 10000cm2 = 1m2 lb: pound (1000m)2 = 1000000m2 = 1km2 2000lb = 1T T: ton 10000m2 = 1ha Volume Capacity (10mm)3 = 1000mm3 = 1cm3 8floz = 1c floz: fluid ounces (100cm)3 = 1000000cm3 =1m3 2c = 1pt c: cup (1000m)3 =109m3 =1km3 2pt = 1qt pt: pint 4qt = 1gal qt: quart Mass gal: gallon 1000mg =1g 1000g =1kg 1000kg =1Mg =1tonne Capacity Metric – Imperial Conversion 1000ml =1l Length 1000l =1kl 2.54cm = 1in 1m ˜ 3.28ft Volume – Capacity Conversion 1m ˜ 1.09yd 1cm3 = 1ml 1.61km ˜ 1mi 1000cm3 = 1l 1m3 = 1000l Mass 28.35g ˜ 1oz 454g ˜ 1lb 1kg ˜ 2.2lb Capacity 1l ˜ 1.06qt 3.79l ˜ 1gal FMU Assessment Test B (Version 2) 4 Question 1 The number of telephone enquires per week during the 13-week term were recorded. The results are shown below. Week Number of Enquires 1 30 2 35 3 24 4 38 5 48 6 46 7 40 8 45 9 43 10 53 11 64 12 62 13 46 (a) Using the data above determine: (i) the mean (1 mark) (ii) the mode (1 mark) (a) continued Using the data above determine: (iii) the median (1 mark) FMU Assessment Test B (Version 2) 5 (iv) the range (1 mark) (b) Construct a box and whisker plot for the number of enquires as listed above. (2 marks) (c) Using the intervals 20-29, 30-39, etc. draw: (i) a frequency distribution table (1 mark) FMU Assessment Test B (Version 2) 6 (c) continued Using the intervals 20-29, 30-39, etc. draw: (ii) a histogram (2 marks) Question 2 (a) Are the following data sets continuous or discrete? (i) Births in a country. (1 mark) (ii) Amount of coal mined in a year (1 mark) (b) The approximate occurrence of the vowels, a, e, i, o and u, in English documents is shown in the bar chart below. (i) which of the vowel occurs most frequently, (1 mark) (ii) which vowels occur at approximately the same frequency. (1 mark) FMU Assessment Test B (Version 2) 7 Question 3 Simplify the following expressions using the rules for operations involving exponents. (4 marks) (i) (62 )m (iii) 25 z4 ? ? ? ? ? ? 2 (ii) q-12 ÷ q-10 (q ? 0) (iv) 1 32 ? ? ? ? ? ? 15 Question 4 (b) Simplify (-2)3 t 2 64z ÷ t ( 2 )4 giving the answer with positive exponents (assume all variables ? 0 ). (3 marks) FMU Assessment Test B (Version 2) 8 Question 5 Solve each equation for m. (a) 2m3 = 54 (2 marks) (b) -3 4 m +12 = 4 m + 4 (3 marks) Question 6 (4 marks) On the set of axes below clearly label the following: (a) the x-axis (b) the y-axis (c) the four quadrants (d) A(3,2) (e) B(-4,-1) (f) C(0,-3) (g) D(2,-3) 1 1 2 2 3 3 4 4 5 5 – 1 – 1 2 – 2 3 – 3 4 – 4 5 – 5 1 1 2 2 3 3 4 4 5 5 – 1 – 1 2 – 2 3 – 3 4 – 4 5 – 5 FMU Assessment Test B (Version 2) 9 Question 7 (a) What is the slope and y-intercept of the line represented by the equation, 2y - 3x = 12 . (2 marks) (b) Sketch the graph of y = 1 2 x - 4 on the set of axes below by first finding the x-intercept and the y-intercept. (2 marks) (c) On the same set of axes sketch the graph of the line represented by the equation, y = -1 (1 mark) 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 – 1 – 1 2 – 2 3 – 3 4 – 4 5 – 5 6 – 6 7 – 7 8 – 8 9 – 9 10 – 10 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 – 1 – 1 2 – 2 3 – 3 4 – 4 5 – 5 6 – 6 7 – 7 8 – 8 9 – 9 10 – 10 FMU Assessment Test B (Version 2) 10 Question 8 The time, in minutes, taken to cook a chicken, C, is linearly related to the weight, in kilograms, of the chicken, k. It takes 40 minutes to cook a 1.4kg chicken and 50 minutes to cook a 1.8kg chicken. (a) Find the linear equation relating cooking time, C, with the weight of the chicken, k. (3 marks) (b) How long would it take to cook a 1.7kg chicken? (1 mark) Question 9 (a) Rewrite 24000 in scientific notation. (1 mark) (b) Write 0.04587 correct to 2 significant figures. (1 mark) FMU Assessment Test B (Version 2) 11 Question 10 (a) Write 80cm: 2.4m in simplest form. (1 mark) (b) A piece of gold chain is cut into three pieces to make a necklace, a bracelet and an anklet, in the ratio of 10:4:5. if there is 76cm of gold chain, what is the length of the bracelet? (2 marks) (c) Which is a better deal: Sudsy’s Soap: 3 cakes for $2.19 Bubble Bars (soap): $1.58 for 2 cakes? (2 marks) FMU Assessment Test B (Version 2) 12 Question 11 Make the following conversions (a) 0.246l?ml (1 mark) (b) 76oz?lb (2 marks) (c) 238km2 ?m2 (2 marks) FMU Assessment Test B (Version 2) 13 Additional Pages FMU Assessment Test B (Version 2) 14 Additional Pages