Calculator and no-calculator questions on the MPT

Not all maths questions on the MPT are equal

One detail that catches Ontario teacher-candidates off guard: the Mathematics Curriculum section of the Math Proficiency Test (MPT) includes both calculator and no-calculator items — and EQAO designs each type with a distinct purpose. Preparing for “maths questions” without accounting for this distinction leaves you exposed.

Here’s what each type actually tests, and how to make sure you’re ready for both.

Why the distinction exists

The split between calculator and no-calculator items isn’t arbitrary. It reflects what the MPT is actually trying to assess: whether you hold genuine mathematical understanding, not just the ability to operate a device.

• No-calculator items assess number sense, estimation, and mental arithmetic — your ability to reason about quantity and magnitude without a computational crutch. These are foundational skills that a competent maths teacher needs to be able to model and explain.
• Calculator items free you from arithmetic burden so the question can focus on mathematical reasoning, problem-solving, and interpretation. Here, it’s not about whether you can multiply — it’s about whether you understand what the calculation means and what to do with the result.

Both types appear within the Mathematics Curriculum section, which covers Ontario Grades 3–9 content and makes up at least 70% of the test.

What no-calculator items actually look like

Candidates who’ve been calculator-dependent for years often find these items more uncomfortable than expected. No-calculator questions are likely to test:

• Mental arithmetic — whole number operations, fraction arithmetic, integer operations
• Estimation — rounding, approximating, sense-checking results (e.g., “which of these is closest to…?”)
• Number sense — recognising relationships between numbers, understanding place value, comparing fractions and decimals
• Quick proportional reasoning — simple ratio and percent problems that don’t require complex computation

The key skill here isn’t speed — it’s fluency. You should be able to work through these items confidently without feeling like you’re fighting the maths.

What calculator items actually look like

With a calculator available, the cognitive load shifts. Calculator questions are more likely to involve:

• Multi-step problems where the arithmetic is a means to an end, not the point
• Contextualised scenarios requiring you to set up the right calculation, not just execute it
• Data interpretation — reading a table or graph, then calculating a result
• Measurement and geometry problems involving area, volume, or scale
• Financial literacy problems involving percentages, budgets, or rates

The trap with calculator items is getting the computation right but misunderstanding what the question is asking. A wrong setup with correct arithmetic is still a wrong answer. Read carefully.

How to practise for both

For no-calculator items:

• Deliberately practise without a calculator, even when it feels slow. The discomfort fades — but only with repetition.
• Focus on estimation as a skill in its own right. Can you predict roughly what the answer should be before calculating? That habit catches errors and helps with multiple-choice elimination.
• Revisit mental arithmetic strategies for the Grades 3–6 range specifically — this is where number sense is built in the curriculum, and it’s the foundation for everything above it.

For calculator items:

• Practise identifying exactly what a problem is asking before reaching for the calculator. What are you finding? What does a reasonable answer look like?
• Work through multi-step problems systematically — don’t try to hold too many steps in your head at once.
• Familiarise yourself with the type of calculator provided on the test (EQAO will specify this in their test information — check mathproficiencytest.ca).

Use EQAO’s practice tests to calibrate

EQAO publishes official practice tests at mathproficiencytest.ca. When you work through them, pay attention to how the calculator and no-calculator items feel differently. If one type consistently gives you more trouble, you’ve found a gap worth addressing before test day.

The goal isn’t to find tricks or shortcuts — it’s to build the underlying fluency that makes both types of questions feel manageable. That’s what the MPT is designed to assess, and it’s what being a confident maths teacher actually requires.

Find out which type trips you up

The SN Academy diagnostic for Ontario teachers will help you identify whether your weaker area is number sense and mental maths, or reasoning and problem-solving in context — so you can direct your preparation where it counts.

Take the free Ontario MPT diagnostic →

— The people of SN Academy