Grade 10 Mathematics

Algebra Expressions Equations

• Simplifying an algebraic expression: "Simplify", "Expand and simplify", "Factorise"
• Solving a linear equation: "Solve for x", "Find x"
• Solving a quadratic equation: "Solve for x", "Find the roots"
• Solving a linear inequality: "Solve for x", "For which values of x"

Number Patterns

• Finding the next term or missing term: "Write down the next two terms", "Find the missing term"
• Finding the general term (Tn formula): "Determine a formula", "Write down the general term", "Tn ="
• Finding which term has a given value: "Which term", "For which value of n", "Determine n if Tn = ..."

Finance Growth Decay

• Simple interest: finding the accumulated amount or interest: "Simple interest", "Calculate the interest earned", "Find the final amount"
• Simple decay (straight-line depreciation): "Depreciates", "Straight-line depreciation", "Loses value"

Functions Graphs

• Identifying and sketching a linear function: "Sketch", "Draw the graph of", "y = mx + c"
• Identifying and sketching a quadratic function (parabola): "Sketch", "Draw", "y = ax² + bx + c", "y = a(x + p)² + q"
• Reading information from a graph: "Read off", "Write down the domain", "Write down the range", "For which values of x is f(x) > 0"

Probability

• Basic probability from a sample space: "Find the probability", "P(A)", "What is the probability that"
• Venn diagram problems: "Draw a Venn diagram", "Use the Venn diagram", "n(A ∩ B)"
• Complementary events: "P(not A)", "P(A')", "The probability that ... does NOT happen"

Statistics

• Calculating mean, median, and mode: "Calculate the mean", "Determine the median", "Write down the mode"
• Drawing or interpreting a stem-and-leaf plot: "Draw a stem-and-leaf plot", "Use the stem-and-leaf diagram"

Analytical Geometry

• Distance between two points: "Calculate the length", "Find the distance", "How far apart"
• Midpoint of a line segment: "Find the midpoint", "M is the midpoint", "Determine the coordinates of the midpoint"
• Gradient of a line: "Calculate the gradient", "Find m", "Are the lines parallel or perpendicular?"

Trigonometry

• Using SOHCAHTOA to find a side or angle: "Calculate the value of x", "Find the length", "Determine the angle"
• Special angle values: "Without using a calculator", "Determine the exact value"
• Solving a basic trig equation: "Solve for θ", "Find the value of θ if"

Euclidean Geometry

• Angle relationships on a straight line and at a point: "Find the value of x", "Calculate the size of"
• Triangle properties: angle sum and exterior angle: "Find x", "Calculate the size of", "Prove that"
• Congruency and similarity: "Prove that triangles are congruent", "Prove that triangles are similar", "Find the unknown side"