{"id":65281,"date":"2026-07-30T14:39:02","date_gmt":"2026-07-30T13:39:02","guid":{"rendered":"https:\/\/blog-admin.thethinkacademy.com\/?p=65281"},"modified":"2026-07-30T14:39:05","modified_gmt":"2026-07-30T13:39:05","slug":"order-of-operations-math-worksheets","status":"publish","type":"post","link":"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/07\/30\/order-of-operations-math-worksheets\/","title":{"rendered":"Order of Operations Worksheets: Practice Problems with Answers"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">These order of operations math worksheets cover every level of BEDMAS from basic two-operation problems through to multi-step expressions with integers, exponents, and nested brackets \u2014 organised by grade level and difficulty. Each set includes full worked answers. Use them for daily practice, test preparation, or to identify the specific step where your child&#8217;s order of operations understanding breaks down.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For the complete explanation of BEDMAS rules, common mistakes, and how to remember the order, see our <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/math-order-of-operations-guide\/\">math order of operations guide<\/a>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">How to Use These Worksheets Effectively<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Before jumping into the problems, three principles make order of operations math worksheets significantly more effective:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Rewrite after every step.<\/strong> The most reliable way to avoid errors in multi-step expressions is to rewrite the expression after each operation is performed. Students who try to track multiple changes mentally make significantly more errors than those who write out each intermediate step. If the answer is wrong, the rewrite makes it easy to find exactly where the error occurred.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Time the practice.<\/strong> A student who is genuinely fluent with order of operations should complete a set of 10 problems in under 10 minutes. Consistent slowness signals that the order is not yet automatic \u2014 the student is thinking about which operation comes next rather than applying it instinctively.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Diagnose by error type.<\/strong> When reviewing incorrect answers, categorise each error: wrong operation order (e.g. adding before multiplying), wrong direction for equal-priority operations (e.g. doing addition before subtraction when subtraction came first in the expression), or arithmetic error within a correctly identified step. Each error type points to a different gap.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.thinkacademy.ca\/free-assessment?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"409\" src=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_13_30-PM-1-1024x409.png\" alt=\"\" class=\"wp-image-65283\" srcset=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_13_30-PM-1-1024x409.png 1024w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_13_30-PM-1-300x120.png 300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_13_30-PM-1-768x307.png 768w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_13_30-PM-1-1536x614.png 1536w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_13_30-PM-1-1300x520.png 1300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_13_30-PM-1.png 1983w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Working through worksheets is helpful\u2014but only if your child is practising the right skills.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Our free assessment identifies exactly which BEDMAS concepts they understand and where mistakes are happening, so practice becomes much more effective.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><a href=\"https:\/\/www.thinkacademy.ca\/free-assessment?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\">\u2192 Get your free personalised feedback report<\/a><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Order of Operations Math Worksheets: Worksheet 1: Basic BEDMAS \u2014 Grade 5\/6 Level<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Two operations per expression. No exponents. No negative numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set A \u2014 Multiplication and Addition<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>3 + 4 \u00d7 2 = ___<\/li>\n\n\n\n<li>10 + 5 \u00d7 3 = ___<\/li>\n\n\n\n<li>2 \u00d7 6 + 4 = ___<\/li>\n\n\n\n<li>8 + 3 \u00d7 4 = ___<\/li>\n\n\n\n<li>5 \u00d7 3 + 2 \u00d7 4 = ___<\/li>\n\n\n\n<li>7 + 2 \u00d7 9 = ___<\/li>\n\n\n\n<li>4 \u00d7 5 + 3 \u00d7 2 = ___<\/li>\n\n\n\n<li>12 + 4 \u00d7 3 = ___<\/li>\n\n\n\n<li>6 \u00d7 2 + 5 \u00d7 3 = ___<\/li>\n\n\n\n<li>20 + 3 \u00d7 5 = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set A:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>11 \u00a0 2) 25 \u00a0 3) 16 \u00a0 4) 20 \u00a0 5) 23 \u00a0 6) 25 \u00a0 7) 26 \u00a0 8) 24 \u00a0 9) 27 \u00a0 10) 35<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set B \u2014 Division and Subtraction<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>20 \u2212 8 \u00f7 4 = ___<\/li>\n\n\n\n<li>36 \u00f7 6 \u2212 2 = ___<\/li>\n\n\n\n<li>18 \u2212 15 \u00f7 5 = ___<\/li>\n\n\n\n<li>30 \u00f7 5 \u2212 1 = ___<\/li>\n\n\n\n<li>24 \u2212 12 \u00f7 3 = ___<\/li>\n\n\n\n<li>45 \u00f7 9 + 8 = ___<\/li>\n\n\n\n<li>14 \u2212 6 \u00f7 2 = ___<\/li>\n\n\n\n<li>28 \u00f7 4 \u2212 3 = ___<\/li>\n\n\n\n<li>32 \u2212 24 \u00f7 8 = ___<\/li>\n\n\n\n<li>50 \u00f7 10 + 6 = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set B:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>18 \u00a0 2) 4 \u00a0 3) 15 \u00a0 4) 5 \u00a0 5) 20 \u00a0 6) 13 \u00a0 7) 11 \u00a0 8) 4 \u00a0 9) 29 \u00a0 10) 11<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set C \u2014 Brackets First<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(3 + 4) \u00d7 2 = ___<\/li>\n\n\n\n<li>(10 \u2212 4) \u00f7 3 = ___<\/li>\n\n\n\n<li>5 \u00d7 (6 + 2) = ___<\/li>\n\n\n\n<li>(15 \u2212 6) \u00f7 9 = ___<\/li>\n\n\n\n<li>(4 + 3) \u00d7 (8 \u2212 5) = ___<\/li>\n\n\n\n<li>24 \u00f7 (3 + 5) = ___<\/li>\n\n\n\n<li>(12 \u2212 4) \u00d7 3 = ___<\/li>\n\n\n\n<li>6 \u00d7 (7 \u2212 4) = ___<\/li>\n\n\n\n<li>(9 + 6) \u00f7 (8 \u2212 3) = ___<\/li>\n\n\n\n<li>(2 + 8) \u00d7 (3 + 2) = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set C:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>14 \u00a0 2) 2 \u00a0 3) 40 \u00a0 4) 1 \u00a0 5) 21 \u00a0 6) 3 \u00a0 7) 24 \u00a0 8) 18 \u00a0 9) 3 \u00a0 10) 50<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Order of Operations Math Worksheets: Worksheet 2: Three and Four Operations \u2014 Grade 6\/7 Level<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Three or four operations per expression. Brackets and mixed operations. No exponents yet.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set D \u2014 Three Operations<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>3 + 4 \u00d7 2 \u2212 1 = ___<\/li>\n\n\n\n<li>20 \u00f7 4 + 3 \u00d7 2 = ___<\/li>\n\n\n\n<li>(5 + 3) \u00d7 2 \u2212 4 = ___<\/li>\n\n\n\n<li>18 \u00f7 6 + 4 \u00d7 3 = ___<\/li>\n\n\n\n<li>15 \u2212 2 \u00d7 4 + 6 = ___<\/li>\n\n\n\n<li>4 \u00d7 (3 + 2) \u2212 7 = ___<\/li>\n\n\n\n<li>36 \u00f7 (4 + 2) + 5 = ___<\/li>\n\n\n\n<li>5 + 8 \u00d7 3 \u2212 10 \u00f7 2 = ___<\/li>\n\n\n\n<li>(7 \u2212 3) \u00d7 5 + 12 \u00f7 4 = ___<\/li>\n\n\n\n<li>24 \u00f7 8 \u00d7 3 + 2 = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set D:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>10 \u00a0 2) 11 \u00a0 3) 12 \u00a0 4) 15 \u00a0 5) 13 \u00a0 6) 13 \u00a0 7) 11 \u00a0 8) 24 \u00a0 9) 23 \u00a0 10) 11<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set E \u2014 Nested Brackets<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(2 + (3 \u00d7 4)) = ___<\/li>\n\n\n\n<li>((8 \u2212 3) \u00d7 2) + 4 = ___<\/li>\n\n\n\n<li>3 \u00d7 (2 + (10 \u2212 6)) = ___<\/li>\n\n\n\n<li>((4 + 6) \u00f7 2) \u00d7 3 = ___<\/li>\n\n\n\n<li>5 \u00d7 ((3 + 7) \u00f7 2) = ___<\/li>\n\n\n\n<li>(20 \u2212 (4 \u00d7 3)) \u00f7 2 = ___<\/li>\n\n\n\n<li>((9 \u2212 3) \u00d7 (4 + 1)) \u2212 10 = ___<\/li>\n\n\n\n<li>4 + (3 \u00d7 (8 \u2212 (2 + 1))) = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set E:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>14 \u00a0 2) 14 \u00a0 3) 18 \u00a0 4) 15 \u00a0 5) 25 \u00a0 6) 4 \u00a0 7) 20 \u00a0 8) 19<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Order of Operations Math Worksheets: Worksheet 3: Exponents \u2014 Grade 7\/8 Level<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Introducing the E in BEDMAS. Remember: exponents are evaluated after brackets, before division, multiplication, addition, and subtraction.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set F \u2014 Exponents with Other Operations<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>2\u00b3 + 4 = ___<\/li>\n\n\n\n<li>3\u00b2 \u00d7 4 = ___<\/li>\n\n\n\n<li>5 + 2\u00b2 \u00d7 3 = ___<\/li>\n\n\n\n<li>(3 + 1)\u00b2 \u2212 5 = ___<\/li>\n\n\n\n<li>2\u00b3 \u2212 3 \u00d7 2 = ___<\/li>\n\n\n\n<li>4\u00b2 \u00f7 8 + 3 = ___<\/li>\n\n\n\n<li>(2 + 3)\u00b2 \u2212 4 \u00d7 3 = ___<\/li>\n\n\n\n<li>3 \u00d7 2\u00b3 \u2212 10 = ___<\/li>\n\n\n\n<li>(5 \u2212 2)\u00b2 \u00d7 (4 + 1) = ___<\/li>\n\n\n\n<li>2 + 3\u00b2 \u00f7 3 \u00d7 4 = ___<\/li>\n\n\n\n<li>5\u00b2 \u2212 (3 + 2)\u00b2 = ___<\/li>\n\n\n\n<li>(1 + 2)\u00b3 \u00f7 9 = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set F:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>12 \u00a0 2) 36 \u00a0 3) 17 \u00a0 4) 11 \u00a0 5) 2 \u00a0 6) 5 \u00a0 7) 13 \u00a0 8) 14 \u00a0 9) 45 \u00a0 10) 14 \u00a0 11) 0 \u00a0 12) 3<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set G \u2014 Negative Exponents and Tricky Cases<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Watch carefully: \u22123\u00b2 \u2260 (\u22123)\u00b2<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u22123\u00b2 = ___<\/li>\n\n\n\n<li>(\u22123)\u00b2 = ___<\/li>\n\n\n\n<li>\u22122\u00b3 = ___<\/li>\n\n\n\n<li>(\u22122)\u00b3 = ___<\/li>\n\n\n\n<li>\u22124\u00b2 + 20 = ___<\/li>\n\n\n\n<li>(\u22124)\u00b2 + 20 = ___<\/li>\n\n\n\n<li>5 \u2212 2\u00b2 \u00d7 3 = ___<\/li>\n\n\n\n<li>(5 \u2212 2)\u00b2 \u00d7 3 = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set G:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u22129 \u00a0 2) 9 \u00a0 3) \u22128 \u00a0 4) \u22128 \u00a0 5) 4 \u00a0 6) 36 \u00a0 7) \u22127 \u00a0 8) 27<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Note: \u22123\u00b2 means \u2212(3\u00b2) = \u22129. The exponent applies to 3 only. (\u22123)\u00b2 means (\u22123) \u00d7 (\u22123) = 9. The brackets make the exponent apply to the entire \u22123.<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Worksheet 4: Integers \u2014 Grade 7\/8 Level<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Order of operations math worksheets must include integers, since BEDMAS applies equally to expressions with negative numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set H \u2014 Integers with All Four Operations<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u22123 + 4 \u00d7 2 = ___<\/li>\n\n\n\n<li>(\u22125 + 3) \u00d7 4 = ___<\/li>\n\n\n\n<li>\u221218 \u00f7 (\u22123) + 5 \u00d7 2 = ___<\/li>\n\n\n\n<li>\u22124 \u00d7 3 + (\u22126) \u00f7 2 = ___<\/li>\n\n\n\n<li>(\u22123 + 7) \u00d7 (5 \u2212 8) = ___<\/li>\n\n\n\n<li>\u22122 \u00d7 (\u22123)\u00b2 + 5 = ___<\/li>\n\n\n\n<li>(\u22124)\u00b2 \u2212 3 \u00d7 5 = ___<\/li>\n\n\n\n<li>\u2212(3 + 2) \u00d7 (4 \u2212 7) = ___<\/li>\n\n\n\n<li>15 \u00f7 (\u22123) + (\u22124) \u00d7 2 = ___<\/li>\n\n\n\n<li>(\u22126 + 2) \u00d7 (\u22123)\u00b2 \u00f7 (\u22124) = ___<\/li>\n\n\n\n<li>\u22122\u00b3 + (\u22122)\u00b3 = ___<\/li>\n\n\n\n<li>(\u22125) \u00d7 (\u22123) \u2212 4\u00b2 \u00f7 2 = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set H:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>5 \u00a0 2) \u22128 \u00a0 3) 16 \u00a0 4) \u221215 \u00a0 5) \u221212 \u00a0 6) \u221213 \u00a0 7) 1 \u00a0 8) 15 \u00a0 9) \u221213 \u00a0 10) 9 \u00a0 11) \u221216 \u00a0 12) 7<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Worksheet 5: Multi-Step Challenges \u2014 Grade 8\/9 Level<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">These order of operations math worksheets problems require four or more steps and combine all BEDMAS elements. These are the problem types that appear on EQAO Grade 9 and competition mathematics at the Grade 7\u20138 level.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set I \u2014 Full BEDMAS Challenge<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>3 + 4 \u00d7 (2\u00b3 \u2212 5) \u00f7 2 = ___<\/li>\n\n\n\n<li>(5\u00b2 \u2212 3 \u00d7 4) \u00f7 (7 \u2212 2) \u00d7 2 = ___<\/li>\n\n\n\n<li>\u22122 \u00d7 (3 + 1)\u00b2 + 6 \u00d7 5 = ___<\/li>\n\n\n\n<li>((\u22123)\u00b2 \u2212 4) \u00d7 2 \u2212 (8 \u00f7 4)\u00b3 = ___<\/li>\n\n\n\n<li>4 \u00d7 (3 + 2)\u00b2 \u00f7 (5 \u00d7 4) + 1 = ___<\/li>\n\n\n\n<li>(2\u00b3 \u2212 4 + 1) \u00d7 (\u22123)\u00b2 \u00f7 3 \u2212 7 = ___<\/li>\n\n\n\n<li>5 \u00d7 3\u00b2 \u2212 (4 + 6)\u00f7 2 + (\u22122)\u00b3 = ___<\/li>\n\n\n\n<li>(\u22124)\u00b2 \u00f7 (3 + 1) \u2212 2\u00b3 \u00d7 (\u22121) = ___<\/li>\n\n\n\n<li>3 \u00d7 ((\u22122 + 5)\u00b2 \u2212 (4 \u2212 7)) \u00f7 3 = ___<\/li>\n\n\n\n<li>(5\u00b2 \u2212 4\u00b2) \u00f7 (5 \u2212 4) \u00d7 (2 + 3)\u00b2 \u2212 100 = ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set I:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>3 + 4 \u00d7 3 \u00f7 2 = 3 + 6 = <strong>9<\/strong><\/li>\n\n\n\n<li>(25 \u2212 12) \u00f7 5 \u00d7 2 = 13 \u00f7 5 \u00d7 2 = 2.6 \u00d7 2 = <strong>5.2<\/strong><\/li>\n\n\n\n<li>\u22122 \u00d7 16 + 30 = \u221232 + 30 = <strong>\u22122<\/strong><\/li>\n\n\n\n<li>(9 \u2212 4) \u00d7 2 \u2212 8 = 10 \u2212 8 = <strong>2<\/strong><\/li>\n\n\n\n<li>4 \u00d7 25 \u00f7 20 + 1 = 100 \u00f7 20 + 1 = 5 + 1 = <strong>6<\/strong><\/li>\n\n\n\n<li>(8 \u2212 4 + 1) \u00d7 9 \u00f7 3 \u2212 7 = 5 \u00d7 9 \u00f7 3 \u2212 7 = 15 \u2212 7 = <strong>8<\/strong><\/li>\n\n\n\n<li>45 \u2212 5 + (\u22128) = <strong>32<\/strong><\/li>\n\n\n\n<li>16 \u00f7 4 \u2212 (\u22128) = 4 + 8 = <strong>12<\/strong><\/li>\n\n\n\n<li>3 \u00d7 ((9) \u2212 (\u22123)) \u00f7 3 = 3 \u00d7 12 \u00f7 3 = <strong>12<\/strong><\/li>\n\n\n\n<li>(25 \u2212 16) \u00f7 1 \u00d7 25 \u2212 100 = 9 \u00d7 25 \u2212 100 = 225 \u2212 100 = <strong>125<\/strong><\/li>\n\n\n\n<li><\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Worksheet 6: Word Problems \u2014 Grade 8\/9 Level<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Order of operations math worksheets that include word problems test whether students can translate a real context into a correctly structured expression.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Set J \u2014 Applied Problems<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A teacher buys 4 packs of pencils with 12 pencils each, and 3 packs of pens with 8 pens each. She already had 5 pencils. Write an expression for the total number of pencils she has now, and evaluate it. ___<\/li>\n\n\n\n<li>A cinema sells tickets for $12 each and popcorn for $7 each. A family of 4 buys tickets and 2 popcorns. Write an expression for the total cost and evaluate it. ___<\/li>\n\n\n\n<li>Evaluate: the sum of 3 squared and 4 squared, divided by the difference of 5 and 2. ___<\/li>\n\n\n\n<li>A number is tripled, then 8 is subtracted, then the result is divided by the square of 2. The starting number is 6. Write an expression and evaluate it. ___<\/li>\n\n\n\n<li>Ahmed earns $15 per hour. He works 8 hours on Monday, 6 hours on Tuesday, and has $45 in expenses. Write an expression for his net earnings and evaluate it. ___<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answers \u2014 Set J:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>4 \u00d7 12 + 5 = 48 + 5 = <strong>53 pencils<\/strong><\/li>\n\n\n\n<li>4 \u00d7 12 + 2 \u00d7 7 = 48 + 14 = <strong>$62<\/strong><\/li>\n\n\n\n<li>(3\u00b2 + 4\u00b2) \u00f7 (5 \u2212 2) = (9 + 16) \u00f7 3 = 25 \u00f7 3 \u2248 <strong>8.33<\/strong><\/li>\n\n\n\n<li>(3 \u00d7 6 \u2212 8) \u00f7 2\u00b2 = (18 \u2212 8) \u00f7 4 = 10 \u00f7 4 = <strong>2.5<\/strong><\/li>\n\n\n\n<li>15 \u00d7 (8 + 6) \u2212 45 = 15 \u00d7 14 \u2212 45 = 210 \u2212 45 = <strong>$165<\/strong><\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.thinkacademy.ca\/free-assessment?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"423\" src=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_20_32-PM-1-1024x423.png\" alt=\"Order of Operations Math Worksheets image \" class=\"wp-image-65284\" srcset=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_20_32-PM-1-1024x423.png 1024w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_20_32-PM-1-300x124.png 300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_20_32-PM-1-768x317.png 768w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_20_32-PM-1-1536x634.png 1536w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_20_32-PM-1-1300x537.png 1300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_20_32-PM-1.png 1952w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Not every wrong answer comes from the same misunderstanding.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Some students struggle with brackets. Others forget left-to-right rules or apply exponents incorrectly.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Our free assessment pinpoints the exact misconception so your child can focus on what will make the biggest difference.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><a href=\"https:\/\/www.thinkacademy.ca\/free-assessment?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\">\u2192 Get your free feedback report<\/a><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">The Most Common Errors on Order of Operations Math Worksheets<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Reviewing these against your child&#8217;s work identifies exactly which gap to address:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Error type 1: Addition before multiplication (no brackets)<\/strong> 3 + 4 \u00d7 2 calculated as 7 \u00d7 2 = 14 instead of 3 + 8 = 11. <em>Fix: Multiplication and division always before addition and subtraction \u2014 no exceptions, no brackets needed.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Error type 2: Left-to-right rule ignored for equal-priority operations<\/strong> 18 \u2212 6 + 4 calculated as 18 \u2212 10 = 8 instead of 12 + 4 = 16. <em>Fix: When addition and subtraction appear together (or multiplication and division appear together), work strictly left to right \u2014 whichever comes first is done first.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Error type 3: Exponent not applied before multiplication<\/strong> 3 \u00d7 2\u00b3 calculated as 6\u00b3 = 216 instead of 3 \u00d7 8 = 24. <em>Fix: Exponents are evaluated before multiplication, immediately after brackets.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Error type 4: \u22123\u00b2 confused with (\u22123)\u00b2<\/strong> \u22123\u00b2 written as 9 instead of \u22129. <em>Fix: Without brackets, the exponent applies only to 3. \u22123\u00b2 = \u2212(3\u00b2) = \u22129. Brackets are needed to make the negative part of the base: (\u22123)\u00b2 = 9.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Error type 5: Nested brackets worked outside-in<\/strong> 3 \u00d7 (2 + (10 \u2212 6)) worked as 3 \u00d7 (2 + 10) \u2212 6 instead of 3 \u00d7 (2 + 4) = 18. <em>Fix: Always work from the innermost bracket outward.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For a complete explanation of all BEDMAS rules and why each one exists, see our <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/math-order-of-operations-guide\/\">math order of operations guide<\/a>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Order of Operations Math Worksheets by Grade Level: Quick Reference<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Grade Level<\/th><th>Worksheet Focus<\/th><th>Sets to Use<\/th><\/tr><\/thead><tbody><tr><td>Grade 5<\/td><td>Multiplication\/addition, brackets intro<\/td><td>Sets A, B, C<\/td><\/tr><tr><td>Grade 6<\/td><td>Three operations, mixed<\/td><td>Sets D, E<\/td><\/tr><tr><td>Grade 7<\/td><td>Exponents, integers introduced<\/td><td>Sets F, G, H<\/td><\/tr><tr><td>Grade 8<\/td><td>Full BEDMAS, integers, exponents<\/td><td>Sets F, G, H, I<\/td><\/tr><tr><td>Grade 9<\/td><td>Multi-step, word problems, exam prep<\/td><td>Sets I, J<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.thinkacademy.ca\/free-assessment?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_28_39-PM-1-1024x512.png\" alt=\"\" class=\"wp-image-65285\" srcset=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_28_39-PM-1-1024x512.png 1024w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_28_39-PM-1-300x150.png 300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_28_39-PM-1-768x384.png 768w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_28_39-PM-1-1536x768.png 1536w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_28_39-PM-1-1300x650.png 1300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_28_39-PM-1.png 1774w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">These worksheets are organised by grade\u2014but every child progresses differently.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A free assessment shows whether your child is working at, above, or below the expected level, with clear next steps tailored to their results.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><a href=\"https:\/\/www.thinkacademy.ca\/free-assessment?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\">\u2192 Get your free personalised report<\/a><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Order of Operations in the Ontario Curriculum and EQAO<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Order of operations is introduced formally in Grade 6 in Ontario and remains a foundational skill through Grade 9. It appears on:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>EQAO Grade 6<\/strong> \u2014 in the Number strand; students are expected to apply order of operations with whole numbers and decimals<\/li>\n\n\n\n<li><strong>EQAO Grade 9 (MTH1W)<\/strong> \u2014 order of operations with integers, rational numbers, and algebraic expressions is assumed knowledge tested across multiple strands<\/li>\n\n\n\n<li><strong>Grade 7\u20138 Gauss Contest<\/strong> \u2014 multi-step expressions are a standard question type<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">For EQAO-specific preparation, see our <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/05\/26\/eqao-grade-6-complete-guide-ontario\/\">EQAO Grade 6 complete guide<\/a> and <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/05\/20\/blog-eqao-grade-9-complete-guide-ontario\/\">EQAO Grade 9 complete guide<\/a>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">How Think Academy Helps Students Master Order of Operations<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Think Academy Canada works with students from Grade 1 through Grade 12. For students in Grades 5\u20139, the order of operations is one of the foundational skills assessed in every diagnostic \u2014 because errors here compound across algebra, equation solving, and every multi-step problem that follows.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When a student&#8217;s order of operations understanding has a specific gap \u2014 the left-to-right rule, the exponent rule, or integer sign errors \u2014 our instructors identify it precisely and address it directly. The free diagnostic assessment takes 20 minutes and produces a written feedback report covering all major curriculum strands, including a clear indication of where BEDMAS understanding breaks down. No obligation \u2014 just specific, actionable information.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Frequently Asked Questions<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>What does BEDMAS stand for?<\/strong> Brackets, Exponents, Division, Multiplication, Addition, Subtraction \u2014 the Canadian acronym for the order of operations rules. Equivalent to PEMDAS (US) and BODMAS (UK).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>At what grade are order of operations math worksheets appropriate?<\/strong> Order of operations is introduced in Grade 6 and remains relevant through Grade 9. Grade 5 students who are advanced can begin with two-operation problems. The worksheets on this page are organised by difficulty, from Grade 5\/6 level through Grade 8\/9 level.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Why do division and multiplication have equal priority?<\/strong> Because multiplication and division are inverse operations \u2014 mathematically equivalent in priority. The same is true of addition and subtraction. When two equal-priority operations appear in the same expression, work left to right.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Is the order of operations the same in Canada as in the US?<\/strong> Yes \u2014 the rules are identical. The acronym differs: BEDMAS in Canada, PEMDAS in the US (Parentheses instead of Brackets, Orders instead of Exponents). The mathematical rules are the same.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>How many problems should my child practise each day?<\/strong> Ten to fifteen problems in a focused 10\u201315 minute session, three to four times per week, is more effective than a single long session. Consistency matters more than volume \u2014 the goal is making BEDMAS automatic, which requires repeated short practice over time.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><em>See our related guides: <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/math-order-of-operations-guide\/\">math order of operations guide<\/a> \u00b7 <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/grade-7-math-worksheets\/\">Grade 7 math worksheets<\/a> \u00b7 <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/grade-8-math-worksheets\/\">Grade 8 math worksheets<\/a> \u00b7 <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/05\/15\/grade-6-curriculum-math-parent-guide\/\">Grade 6 math curriculum Ontario<\/a> \u00b7 <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/06\/06\/grade-7-math-curriculum-ontario\/\">Grade 7 math curriculum Ontario<\/a> \u00b7 <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/05\/26\/eqao-grade-6-complete-guide-ontario\/\">EQAO Grade 6 complete guide<\/a> \u00b7 <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/05\/20\/blog-eqao-grade-9-complete-guide-ontario\/\">EQAO Grade 9 complete guide<\/a> \u00b7 <a href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/05\/26\/adding-and-subtracting-integers-rules-guide\/\">adding and subtracting integers<\/a> \u00b7 <a href=\"https:\/\/www.thinkacademy.ca\/blog\/blog\/2026\/05\/05\/gauss-math-contest-complete-guide-canada\/\">Gauss math contest guide<\/a><\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Order of operations errors compound across every topic that follows. Fix the gap now.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.thinkacademy.ca\/trialclass_en?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_34_25-PM-1-1024x512.png\" alt=\"\" class=\"wp-image-65286\" srcset=\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_34_25-PM-1-1024x512.png 1024w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_34_25-PM-1-300x150.png 300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_34_25-PM-1-768x384.png 768w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_34_25-PM-1-1536x768.png 1536w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_34_25-PM-1-1300x650.png 1300w, https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-30-2026-02_34_25-PM-1.png 1774w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Strong order of operations skills make algebra, equations, fractions, and later high school maths much easier.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a free online trial lesson, one of our teachers will identify your child&#8217;s biggest gaps and show them strategies to solve multi-step problems with confidence.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Book a free lesson and see how Think Academy can help.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><a href=\"https:\/\/www.thinkacademy.ca\/trialclass_en?source_id=6721&amp;source_type=9&amp;utm_medium=website&amp;utm_source=pc_blog\">\u2192 Book your free trial lesson<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>These order of operations math worksheets cover every level of BEDMAS from basic two-operation problems through &hellip; <a title=\"Order of Operations Worksheets: Practice Problems with Answers\" class=\"hm-read-more\" href=\"https:\/\/blog-admin.thethinkacademy.com\/blog\/2026\/07\/30\/order-of-operations-math-worksheets\/\"><span class=\"screen-reader-text\">Order of Operations Worksheets: Practice Problems with Answers<\/span>Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":65282,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5907,17135,17160],"tags":[],"class_list":["post-65281","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-education","category-study-tips-and-tools","category-math-skills"],"yoast_head":"<!-- This site is optimized with the Yoast SEO 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