Operations Mastery Challenge (Grade 6)
The capstone mixes it all: order of operations, brackets, choosing operators, and working backward — often in two steps.
Understanding operations mastery challenge
The skill is fluency: reading what's asked, picking the right tool, and checking your answer by re-evaluating.
Seeing it in action
Worked example
Evaluate (2 + 4) × 3 − 5.
Brackets first: 2 + 4 = 6. Then ×3: 18. Then −5: 13.
Choose the right operation tool and check the result.
A common mistake, and the fix
Ignoring the brackets halfway through.
(2 + 4) × 3 − 5 means 6 × 3 − 5 = 18 − 5 = 13. Multiplying first as if there were no brackets gives 2 + 12 − 5 = 9.
Try a few
(10 − 4) ÷ 2 + 1
bracket: 6; then 6 ÷ 2 = 3; then 3 + 1.
3 × (2 + 5) − 4
bracket: 7; then 3 × 7 = 21; then 21 − 4.
20 ÷ (2 + 2) × 3
bracket: 4; then left to right: 20 ÷ 4 = 5, 5 × 3.
Try it in Numeris.
A short lesson, then practice with feedback on every answer.
Put the reasoning on paper.
Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.
Free printable · 3 pagesText version (screen-reader friendly): Draw it. Explain it. Math sample
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