· Ontario · 3 min read
Free Ontario MPT Practice Questions (With Worked Solutions)
The Ontario Math Proficiency Test (MPT) checks that you can work confidently with Grades 3–9 math — the everyday number, algebra, geometry and data skills you'll use as a teacher.
The Ontario Math Proficiency Test (MPT) checks that you can work confidently with Grades 3–9 math — the everyday number, algebra, geometry and data skills you’ll use as a teacher. It also has a pedagogy section on how math is taught. Below are 8 practice questions at MPT level, each with a full worked solution that shows the method.
Work through them, then take the complete, full-length MPT mock — free for instant scoring and a worked explanation on every question. (Remember: the real MPT offers unlimited retakes, so the goal is genuine readiness, not a lucky run.)
Try each one first, then read the solution — the method is what transfers to the test.
The questions
1. Percentage of a quantity
What is 45% of 300?
Worked solution. 10% of 300 = 30, so 40% = 120. 5% = 15. 45% = 120 + 15 = 135.
2. Order of operations
Calculate: 8 + 3 × (5 − 2).
Worked solution. Brackets first: 5 − 2 = 3. Then multiply: 3 × 3 = 9. Then add: 8 + 9 = 17. (BEDMAS: do the multiplication before the addition.)
3. Subtracting fractions
Calculate: 5/6 − 1/3.
Worked solution. Common denominator 6: 1/3 = 2/6. Then 5/6 − 2/6 = 3/6 = 1/2.
4. Proportion (scaling a recipe)
A recipe for 4 servings uses 300 g of flour. How much flour for 6 servings?
Worked solution. Per serving: 300 ÷ 4 = 75 g. For 6: 75 × 6 = 450 g.
5. Solve a linear equation
Solve for x: 2x + 5 = 17.
Worked solution. Subtract 5: 2x = 12. Divide by 2: x = 6. (Check: 2 × 6 + 5 = 17 ✓.)
6. Geometry — area of a triangle
A triangle has base 10 cm and height 6 cm. What is its area?
Worked solution. Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².
7. Data — mean
Find the mean of: 12, 15, 18, 15.
Worked solution. Add: 12 + 15 + 18 + 15 = 60. Divide by 4: 60 ÷ 4 = 15.
8. Percent increase
A class of 20 students grows by 15%. How many students now?
Worked solution. 15% of 20 = 3. New total = 20 + 3 = 23 students.
Turning practice into readiness
The MPT rewards consistent, accurate methods over speed: percentages from 10%, BEDMAS, common denominators, isolating the variable, and the core area formulas. For each question you miss, note the one step that tripped you and redo a similar one a day later. And don’t forget the pedagogy section — it’s about how math is taught, not just solving it.
Start with the Grades 3–9 math topics on the MPT and what the pedagogy section covers.
Ready for the real thing?
Take the full-length MPT mock — free, no card — real length and timing, instant scoring, and a worked solution for every question, so you know exactly which topics to prioritize.
FAQ
Are these real MPT questions? No — real questions are secure. These are original questions at the same level, testing the same skills, so the methods transfer directly.
Does the MPT have retakes? Yes — see free, unlimited MPT retakes and how to use them wisely.
What’s the format and pass mark? See Ontario MPT format and pass mark.
How do I register? See how to register and book the Ontario MPT with EQAO.
