MIP1502 Supp 2025 exam paper — questions

Every question, by topic

1. Question 1.1 · Expressions, equations and inequalities · 6 marks

   Explaining number structure matters for algebra: in your own words, describe how understanding how numbers are built and work helps learners make sense of basic operations (addition, subtraction, multiplication and division), and support your explanation with your own examples.Show the full questionShow less

2. Question 1.2 · Expressions, equations and inequalities · 34 marks

   A mathematical puzzle is presented as a grid of linked equations with seventeen unknown blanks labelled a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p and q. The layout works as follows: across the top, 28 minus a equals b; a multiplication sign below a and an addition sign below b connect down to the next line, where c multiplied by d equals e. Equals signs below c and below e connect further down to two separate branches: on the left, 59 plus f equals g, and on the right, 30 plus h equals i. A division sign below f and a division sign below h connect down again, giving 28 minus j equals k on the left, and 22 divided by l equals m on the right. An equals sign below j, a division sign below k, a minus sign below l, and an equals sign below m connect down to the next line, where n minus 21 equals o on the left, and 10 plus 14 equals p on the right. Finally, an equals sign below o connects down to the bottom line, where 21 minus 9 equals q. As a worked example of how the rows and columns must agree with each other: since 21 minus 9 equals 12, and 22 minus 10 also equals 12, both calculations must yield the same result of 12. You must fill in all seventeen blanks (a to q) using the pool of seventeen numbers given below the grid - namely 24, 12, 1, 3, 18, 10, 1, 22, 27, 8, 80, 44, 21, 14, 24, 96 and 12 - so that every row and column satisfies its indicated operation. Each number in the pool may be used only once, and there are exactly 17 numbers for the 17 unknowns.Show the full questionShow less

3. Question 2.1.1 · Expressions, equations and inequalities · 8 marks

   Given the two expressions 4x + 3 and 3x + 4, determine which of these expressions has the greater value and provide a full justification for your reasoning.Show the full questionShow less

4. Question 2.1.2 · Expressions, equations and inequalities · 4 marks

   Solve the inequality 4x + 3 ≥ 3x + 4 for x, and represent the solution set on a number line.Show the full questionShow less

5. Question 2.2.1 · Expressions, equations and inequalities · 4 marks

   Given the quadratic equation 12x² − 25x + 12 = 0, solve the equation for x.Show the full questionShow less