The Math Meridian
All grades

Grade 10 math practice

48 free resources: printable worksheets and online practice with instant feedback.

Grade 10 placement testFree review pack

A. Quadratic Expressions

  1. Multiply binomials and special products
  2. Factor trinomials ax² + bx + c (a ≠ 1)
  3. Factor fully: common factor first
  4. Factor by grouping and with two variables
  5. Simplify rational expressions by factoring
  6. Mixed factoring: choose the method

B. Quadratic Relations

  1. Solve quadratic equations by factoring
  2. Solve with the quadratic formula
  3. The discriminant: how many real roots?
  4. Complete the square: vertex and max or min
  5. Transformations of y = x²
  6. Find the equation of a parabola
  7. Quadratic word problems: height and area
  8. Quadratic word problems: maximum revenue

C. Linear Systems

  1. Linear systems: graphs and number of solutions
  2. Solve linear systems by substitution
  3. Solve linear systems by elimination
  4. Linear systems with fractions and decimals
  5. Linear systems word problems: tickets, money and mixtures
  6. Linear systems word problems: rates and plans

D. Analytic Geometry

  1. Midpoint of a line segment
  2. Length of a line segment (distance formula)
  3. Circles centred at the origin: x² + y² = r²
  4. Classify triangles and quadrilaterals using coordinates
  5. Medians, altitudes and perpendicular bisectors
  6. Shortest distance from a point to a line

E. Trigonometry

  1. Similar triangles: missing sides and shadows
  2. Solve right triangles
  3. Angles of elevation and depression
  4. Problems with two right triangles
  5. The sine law
  6. The cosine law
  7. Sine law or cosine law? Word problems
  8. Area of a triangle using ½ab sin C

F. Functions, Exponentials and Logarithms

  1. Function notation, domain and range
  2. Transformations of functions
  3. Exponential growth and decay models
  4. Logarithms: what they mean
  5. Laws of logarithms
  6. Solve exponential equations using logarithms

G. Geometry and Measurement

  1. Congruent triangles: SSS, SAS, ASA and HL
  2. Similar figures: ratios of area and volume
  3. Volume and surface area of composite solids
  4. Radians, arc length and sector area

H. Statistics and Probability

  1. Standard deviation and variance
  2. Correlation and the line of best fit
  3. Conditional probability and tree diagrams
  4. Venn diagrams and "or" probability

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