maths d

• Instructions for the Mathematics exam:

  • Write your centre number, candidate number, and name on all the work you hand in
  • Use dark blue or black pen, HB pencil for diagrams or graphs
  • Do not use staples, paper clips, glue, or correction fluid
  • Answer all questions, show working if needed
  • Omission of essential working results in marks deduction
  • Electronic calculators are not allowed
  • Total marks for the paper: 80
• Question 1:

  (a) Evaluate 3/17 # 4

  (b) Evaluate 1/3 # 03
• Question 2:

  The scatter diagram shows the marks of 12 students in test A and test B. Explain why it's not appropriate to draw a line of best fit for this diagram
• Question 3:

  (a) Identify the special mathematical name of the solid shown in the diagram

  (b) Write down the number of vertices for this solid
• Question 4:

  (a) Factorise p^2 - 36

  (b) Factorise xy + 4x^3 + 3y^2 - 12
• Question 5:

  (a) Calculate the finish time of a 2-hour 40-minute TV programme that starts at 22:45

  (b) Find the fraction of the programme taken by 8 advertisement breaks, each lasting 3 minutes, in simplest form
• Question 6:

  Write the values in order: 0.03%, 10^2, 1/5, 25/2
• Question 7:

  Given y is directly proportional to x, find x in terms of t when x/t = 4 and y = 2
• Question 8:

  Estimate the value of 59.843 / 20.13 / 0.9024 to 1 significant figure
• Question 9:

  Solve the simultaneous equations: x + y = 4, 3x + 2y = 8
• Question 10:

  (a) Calculate Amir's percentage loss when he buys a camera for $250 and sells it for $200

  (b) Determine the time it takes for Meera's investment at 2% simple interest per year to double in value
• Question 11:

  (a) Simplify k(7/3 - 5/2)

  (b) Solve the equation x/(5x/3 - 2) = 0
• Question 12:

  (a) Evaluate 3/3 # 4

  (b) Evaluate 3^-30

  (c) Simplify y/(4y^2 - 1/4)
• Question 13:

  (a) Write 0.00023 in standard form

  (b) Evaluate 8^10^9 / 10^9^8 in standard form
• Question 14:

  (a) Find the highest common factor (HCF) of p and q

  (b) Find the lowest common multiple (LCM) of p, q, and 21 as a product of prime factors

  (c) Find the smallest integer N such that pN is a square number
• Question 15:

  (a) Shade one more small triangle in the diagram to create exactly one line of symmetry

  (b) In a figure with rotational symmetry of order 3, find the values of x and y in the given diagram
• Question 16:

  (a) Shade the region representing (C ∪ A ∩ B)′ in the Venn diagram

  (b) Given sets T, V, and U, list the members of T ∪ V and find the intersection of T and V
• The diagram shows the lines x + y = 8, y = 2x = 1, x = 0, and y = 0, with regions between the lines labeled with letters
• Region defined by x + y ≤ 8, y ≥ 2x, x ≥ 0, and y ≥ 0 is labeled E
• In the cumulative frequency diagram of 120 cereal packets, the median and interquartile range need to be estimated
• Measured masses were all 0.8 g more than the actual masses, requiring adjustment for finding the median and interquartile range of the actual masses
• The table shows results of throwing a dice 300 times, with frequencies for numbers 1 to 6, and a relative frequency given for throwing a 4
• In the circle diagram with points A, B, C, D, and E, various angles need to be calculated based on the given information
• Triangle ABC is shown in a diagram, where constructions of the perpendicular bisector of AC and the locus of points equidistant from AB and AC are required
• The speed-time graph of a train's journey needs analysis for deceleration, speed at a specific time, and distance traveled within given time intervals
• Matrix operations involving matrices A and B, as well as finding a matrix X based on a given equation, are part of the questions
• In the diagram with points A, O, P, D, and C, various calculations involving ratios and lengths need to be performed