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Thursday, May 28, 2026

EQAO Grade 6 Math: Top 10 Mistakes

EQAO Grade 6 Math: Top 10 Topics Students Get Wrong (and How to Fix Each One)

Every year, thousands of Ontario Grade 6 students lose marks on the same ten mathematical topics in EQAO. The good news: these mistakes are completely predictable — and completely fixable. This guide identifies exactly where students go wrong, shows the difference between a wrong approach and the right one, and links to free targeted practice for each topic.

📌 Before You Read

These 10 topics come from analysis of EQAO released items and common error patterns in Grade 6 Ontario mathematics. If your child is preparing for EQAO Grade 6, use this as a diagnostic checklist — work through each topic and identify which ones need the most attention.

1

Converting Between Fractions, Decimals, and Percentages

This is the single most commonly missed topic on the Grade 6 EQAO math assessment. Students often know how to work with fractions, decimals, and percentages separately — but freeze when asked to convert between them.

Why students get it wrong: They learn the three forms in isolation and never practise converting fluidly between all three in a single question.

❌ Common Error Converting 3/4 to a percentage and writing 34% (confusing the digits in the fraction with a percentage)
✅ Correct Approach 3/4 → divide 3 ÷ 4 = 0.75 → multiply by 100 = 75%. Always go through decimal as the middle step.

The Fix: Practise the conversion chain daily: fraction → decimal → percentage, and backwards. Use a conversion table for the most common fractions (1/2, 1/4, 3/4, 1/5, 2/5, 1/10) until they are automatic.

📐 Practice Fractions & Decimals →
2

Ratios and Proportional Reasoning

Ratio questions on EQAO Grade 6 are often presented as real-world word problems — recipes, maps, scale drawings, and mixing problems. Students who can solve abstract ratio equations frequently fail the contextual versions.

Why students get it wrong: They don't identify which quantities the ratio refers to, and they confuse ratios with fractions.

❌ Common Error "A recipe uses juice and water in ratio 2:3. For 15 cups total, how much juice?" — Students answer 6 (confusing parts with totals).
✅ Correct Approach Total parts = 2+3 = 5. Each part = 15÷5 = 3 cups. Juice = 2×3 = 6 cups. Always find the value of one part first.

The Fix: Always draw a ratio bar diagram before calculating. Label parts clearly. Practise identifying "part to part" vs "part to whole" ratios — EQAO uses both.

📐 Practice Ratios →
3

Algebraic Expressions — Substituting Values

Grade 6 EQAO includes algebraic questions where students must substitute a value into an expression and evaluate it. These are marks many students give away unnecessarily.

Why students get it wrong: They forget order of operations when substituting, especially with multiplication adjacent to brackets.

❌ Common Error Evaluate 3n + 2 when n = 4. Students write: 3 + 4 + 2 = 9 (treating n as addition rather than multiplication).
✅ Correct Approach 3n means 3 × n. So: 3 × 4 + 2 = 12 + 2 = 14. Always replace the variable with brackets: 3(4) + 2.

The Fix: When substituting, always write the number inside brackets immediately after replacing the variable. This prevents order-of-operations errors. Practise 10 substitution problems daily for one week.

📐 Practice Algebra →
4

Area and Perimeter of Composite Shapes

EQAO Grade 6 frequently tests composite shapes — irregular shapes made by combining or subtracting simpler shapes. This requires students to decompose the shape before calculating, a step many skip.

Why students get it wrong: They try to use a single formula on the whole shape, or they add area and perimeter together when only one is asked for.

❌ Common Error Confusing perimeter (the distance around the outside) with area (the space inside). Calculating area but giving perimeter units (cm instead of cm²).
✅ Correct Approach Split the composite shape into rectangles/triangles. Calculate each area separately. Add or subtract as needed. Always include cm² for area, cm for perimeter.

The Fix: For every shape question, write two things before calculating: (1) "I am finding: Area OR Perimeter" and (2) "My units will be: cm² OR cm". This simple habit prevents the most common errors.

📐 Practice Area & Perimeter →
5

Reading and Interpreting Graphs

EQAO Grade 6 data questions go beyond simply reading a value from a graph. They ask students to interpret trends, calculate differences, and make inferences from data — skills many students haven't practised explicitly.

Why students get it wrong: They read the wrong axis, misread the scale, or answer what the graph shows rather than what the question actually asks.

❌ Common Error On a double bar graph, reading only one bar when the question asks for the combined total, or misreading the scale (each interval = 5, not 1).
✅ Correct Approach Before answering, check: What does each axis represent? What is each scale interval? Does the question ask for a single value, a difference, or a total?

The Fix: Before reading any value from a graph, spend 15 seconds checking the axis labels and scale. Underline the question word — "difference", "total", "increase" — to know exactly what calculation is needed.

📐 Practice Data & Graphs →
6

Integers and Negative Numbers

Integers appear in Grade 6 EQAO in temperature comparisons, number lines, and basic operations. Students frequently make sign errors that cost them straightforward marks.

Why students get it wrong: They confuse subtracting a negative number with adding, or they order negative numbers incorrectly (thinking -8 is greater than -2 because 8 is greater than 2).

❌ Common Error Ordering -3, -8, -1, 5 and writing: -1, -3, 5, -8 (ordering the negative numbers by their positive value rather than their true value).
✅ Correct Approach On a number line: -8 is furthest left (coldest, smallest). Correct order: -8, -3, -1, 5. The number closer to zero is always larger.

The Fix: Draw a number line for every integers question. Plot the numbers visually before ordering or comparing them. This eliminates almost all integer ordering errors instantly.

📐 Practice Integers →
7

Probability Language and Fractions

Probability is one of the most predictable EQAO Grade 6 topics — the same types of questions appear every year. Yet many students lose marks here because they haven't learned the specific language EQAO uses.

Why students get it wrong: They don't express probability as a fraction, or they confuse the number of favourable outcomes with the total number of outcomes.

❌ Common Error "A bag has 3 red and 7 blue marbles. What is the probability of picking red?" — Students answer "3" or "3 out of 7" instead of writing it as a fraction of the total.
✅ Correct Approach Total marbles = 3 + 7 = 10. P(red) = 3/10. Always: favourable outcomes ÷ total outcomes. Express as a fraction, decimal, or percentage as the question asks.

The Fix: Learn the probability formula: P(event) = favourable ÷ total. Always count the total outcomes first. Practise expressing the same probability as a fraction, decimal, and percentage.

📐 Practice Probability →
8

Angle Properties and Measurement

Grade 6 EQAO tests key angle properties: angles in a triangle sum to 180°, angles on a straight line sum to 180°, and angles in a quadrilateral sum to 360°. Students lose marks by not knowing which rule applies.

Why students get it wrong: They apply the triangle rule to quadrilateral problems, or they try to measure the angle visually rather than calculating.

❌ Common Error Finding a missing angle in a quadrilateral using 180° − known angles (triangle rule) instead of 360° − known angles (quadrilateral rule).
✅ Correct Approach Triangle: angles sum to 180°. Quadrilateral: angles sum to 360°. Straight line: angles sum to 180°. Memorise these three facts — they appear every year.

The Fix: Create a simple reference card with three angle rules and review it daily for one week. When an angle question appears, identify the shape first before applying any formula.

📐 Practice Angles →
9

Financial Literacy — Interest and Budgeting

Financial literacy was added to the Ontario Math curriculum in 2020 and now appears regularly on EQAO Grade 6. Many students haven't had enough practice with these real-world money contexts.

Why students get it wrong: They confuse the interest amount with the total repayment amount, or they misread percentage problems involving discounts and tax.

❌ Common Error "A savings account earns 5% interest on $200. How much is in the account after one year?" — Students answer $10 (the interest only) instead of $210 (interest plus original amount).
✅ Correct Approach Interest = 5% × $200 = $10. Total = $200 + $10 = $210. Always re-read the question: does it ask for the interest earned OR the total balance?

The Fix: Practise reading financial word problems twice. Underline the question being asked — "interest earned", "total after discount", "final cost with tax" — before calculating. Each phrase requires a different calculation.

📐 Practice Financial Literacy →
10

Open-Response Questions — Showing Reasoning

Open-response questions are worth the most marks on the EQAO Grade 6 math assessment — and they are the questions students prepare for the least. A correct numerical answer without explanation often receives partial credit only.

Why students get it wrong: They write only the final answer and don't show the steps that led to it. EQAO markers award marks for the process, not just the result.

❌ Common Error Question asks to find the area of a composite shape and explain the method. Student writes: "Area = 48 cm²" with no working shown.
✅ Correct Approach "I split the shape into Rectangle A (6×4=24 cm²) and Rectangle B (4×6=24 cm²). Total area = 24+24 = 48 cm²." Show every step and name what you did.

The Fix: For every open-response practice question, use this three-part structure: (1) State your method in one sentence. (2) Show all calculations with labels. (3) Write a final answer sentence: "Therefore, the area is 48 cm²." Practise this structure until it is automatic.

📐 Practice Open-Response →

Your Action Plan: Fix These 10 Topics Before EQAO

✅ Recommended 4-Week Fix Plan

  • Week 1: Fractions/decimals/percentages + Ratios (topics 1 and 2 — highest frequency)
  • Week 2: Algebra + Area/Perimeter + Data (topics 3, 4, 5)
  • Week 3: Integers + Probability + Angles (topics 6, 7, 8)
  • Week 4: Financial literacy + Open-response practice (topics 9 and 10) + one full Grade 6 mock exam

Practice Hubs for Grade 6 EQAO

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