![\"grade](\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-23-2026-10_13_09-AM-1-1-1024x409.png\")
<\/a><\/figure>\n<\/div>\n\n\n\n\n\n\n
What Grade 7 Math Covers in Ontario<\/h2>\n\n\n\n
The Ontario Grade 7 mathematics curriculum covers five main strands:<\/p>\n\n\n\n
- \n
- Number<\/strong> \u2014 integers (positive and negative), fractions and decimals, percent, ratios and rates, order of operations<\/li>\n\n\n\n
- Algebra<\/strong> \u2014 patterns, algebraic expressions, solving one- and two-step equations<\/li>\n\n\n\n
- Data<\/strong> \u2014 mean, median, mode, range, circle graphs, and interpreting data<\/li>\n\n\n\n
- Spatial Sense<\/strong> (Geometry) \u2014 transformations, similarity, area and circumference of circles<\/li>\n\n\n\n
- Measurement<\/strong> \u2014 area of composite shapes, volume of prisms, surface area<\/li>\n<\/ul>\n\n\n\n
For a complete breakdown of the Ontario Grade 7 curriculum by strand, see our Grade 7 math curriculum Ontario guide<\/a>.<\/p>\n\n\n\n
\n\n\n\nGrade 7 Math Worksheets: Number Practice Problems<\/h2>\n\n\n\n
Integers<\/h3>\n\n\n\n
Practice Set 1 \u2014 Adding and Subtracting Integers<\/strong><\/p>\n\n\n\n
- \n
- 7 + (\u22123) = ___<\/li>\n\n\n\n
- \u22125 + (\u22128) = ___<\/li>\n\n\n\n
- \u221212 + 9 = ___<\/li>\n\n\n\n
- 6 \u2212 (\u22124) = ___<\/li>\n\n\n\n
- \u22123 \u2212 (\u22127) = ___<\/li>\n\n\n\n
- \u221215 + 8 \u2212 (\u22123) = ___<\/li>\n\n\n\n
- A diver is 18 m below the surface. She rises 11 m. What is her new position relative to the surface? ___<\/li>\n\n\n\n
- The temperature on Monday was \u22126\u00b0C. By Thursday it had risen 14\u00b0C. What was Thursday’s temperature? ___<\/li>\n\n\n\n
- \u22129 + 4 \u2212 (\u22126) + (\u22122) = ___<\/li>\n\n\n\n
- A stock is worth $23. It drops $7, rises $4, then drops $12. What is it worth now? ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) 4 2) \u221213 3) \u22123 4) 10 5) 4 6) \u22124 7) \u22127 m (7 m below surface) 8) 8\u00b0C 9) \u22121 10) $8<\/p>\n\n\n\n
\n\n\n\nPractice Set 2 \u2014 Multiplying and Dividing Integers<\/strong><\/p>\n\n\n\n
- \n
- 4 \u00d7 (\u22126) = ___<\/li>\n\n\n\n
- (\u22127) \u00d7 (\u22123) = ___<\/li>\n\n\n\n
- \u22125 \u00d7 8 = ___<\/li>\n\n\n\n
- (\u22129) \u00d7 (\u22124) = ___<\/li>\n\n\n\n
- \u221236 \u00f7 9 = ___<\/li>\n\n\n\n
- 48 \u00f7 (\u22126) = ___<\/li>\n\n\n\n
- (\u221256) \u00f7 (\u22128) = ___<\/li>\n\n\n\n
- \u22123 \u00d7 4 \u00d7 (\u22122) = ___<\/li>\n\n\n\n
- If the temperature drops 3\u00b0C each hour for 5 hours, what is the total change? ___<\/li>\n\n\n\n
- A submarine descends 6 m per minute. How far below its starting point is it after 9 minutes? ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) \u221224 2) 21 3) \u221240 4) 36 5) \u22124 6) \u22128 7) 7 8) 24 9) \u221215\u00b0C 10) \u221254 m<\/p>\n\n\n\n
\n\n\n\nFractions, Decimals and Percent<\/h3>\n\n\n\n
Practice Set 3 \u2014 Operations with Fractions<\/strong><\/p>\n\n\n\n
- \n
- 3\/4 + 1\/3 = ___<\/li>\n\n\n\n
- 5\/6 \u2212 1\/4 = ___<\/li>\n\n\n\n
- 2\/3 \u00d7 3\/5 = ___<\/li>\n\n\n\n
- 3\/4 \u00f7 1\/2 = ___<\/li>\n\n\n\n
- 1 1\/2 + 2 3\/4 = ___<\/li>\n\n\n\n
- 3 1\/3 \u2212 1 5\/6 = ___<\/li>\n\n\n\n
- 2\/3 \u00d7 4 1\/2 = ___<\/li>\n\n\n\n
- A recipe needs 2\/3 cup of flour. If you are making 3 batches, how much flour do you need? ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) 13\/12 = 1 1\/12 2) 7\/12 3) 6\/15 = 2\/5 4) 3\/2 = 1 1\/2 5) 4 1\/4 6) 1 1\/2 7) 3 8) 2 cups<\/p>\n\n\n\n
\n\n\n\nPractice Set 4 \u2014 Percent<\/strong><\/p>\n\n\n\n
- \n
- What is 25% of 80? ___<\/li>\n\n\n\n
- What is 15% of 60? ___<\/li>\n\n\n\n
- Express 3\/5 as a percent. ___<\/li>\n\n\n\n
- Express 0.72 as a percent. ___<\/li>\n\n\n\n
- A shirt costs $45. It is on sale for 20% off. What is the sale price? ___<\/li>\n\n\n\n
- 30 students took a test. 24 passed. What percent passed? ___<\/li>\n\n\n\n
- A restaurant bill is $68. You leave a 15% tip. How much is the tip? ___<\/li>\n\n\n\n
- A score of 38 out of 40 \u2014 what percentage is this? ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) 20 2) 9 3) 60% 4) 72% 5) $36 6) 80% 7) $10.20 8) 95%<\/p>\n\n\n\n
\n\n\n\nRatio, Rate and Proportional Reasoning<\/h3>\n\n\n\n
Practice Set 5 \u2014 Ratios and Rates<\/strong><\/p>\n\n\n\n
- \n
- Simplify the ratio 18:24. ___<\/li>\n\n\n\n
- A car travels 240 km in 3 hours. What is the unit rate? ___<\/li>\n\n\n\n
- If 5 apples cost $3.75, how much do 8 apples cost? ___<\/li>\n\n\n\n
- A map uses a scale of 1:50,000. A distance of 4 cm on the map represents how many km in real life? ___<\/li>\n\n\n\n
- A class has 12 boys and 16 girls. What is the ratio of boys to girls in simplest form? ___<\/li>\n\n\n\n
- If you can type 180 words in 4 minutes, how many words per minute is that? ___<\/li>\n\n\n\n
- A recipe uses 3 cups of oats for every 2 cups of nuts. How many cups of oats are needed for 5 cups of nuts? ___<\/li>\n\n\n\n
- The ratio of red to blue marbles is 4:7. There are 28 blue marbles. How many red marbles are there? ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) 3:4 2) 80 km\/h 3) $6.00 4) 2 km 5) 3:4 6) 45 words\/min 7) 7.5 cups 8) 16<\/p>\n\n\n\n
\n\n\n\nOrder of Operations with Integers<\/h3>\n\n\n\n
Practice Set 6 \u2014 Order of Operations<\/strong><\/p>\n\n\n\n
- \n
- 3 + 4 \u00d7 (\u22122) = ___<\/li>\n\n\n\n
- (\u22125 + 3) \u00d7 4 \u2212 1 = ___<\/li>\n\n\n\n
- \u221218 \u00f7 (\u22123) + 5 \u00d7 2 = ___<\/li>\n\n\n\n
- (\u22124)\u00b2 \u2212 3 \u00d7 5 = ___<\/li>\n\n\n\n
- 2 \u00d7 (\u22123)\u00b2 \u2212 4 \u00f7 (\u22122) = ___<\/li>\n\n\n\n
- \u2212(3 + 2) \u00d7 (4 \u2212 7) = ___<\/li>\n<\/ol>\n\n\n\n
For more on BEDMAS rules, see our math order of operations guide<\/a>.<\/p>\n\n\n\n
Answers:<\/strong> 1) \u22125 2) \u22129 3) 16 4) 1 5) 20 6) 15<\/p>\n\n\n\n
\n\n\n\nGrade 7 Math Worksheets: Algebra Practice Problems<\/h2>\n\n\n\n
Expressions and Equations<\/h3>\n\n\n\n
Practice Set 7 \u2014 Algebraic Expressions<\/strong><\/p>\n\n\n\n
- \n
- If n = 4, evaluate 3n + 7. ___<\/li>\n\n\n\n
- If x = \u22122, evaluate 5x \u2212 3. ___<\/li>\n\n\n\n
- If a = 3 and b = \u22121, evaluate 2a \u2212 4b. ___<\/li>\n\n\n\n
- Simplify: 4x + 3x \u2212 2x. ___<\/li>\n\n\n\n
- Simplify: 5a \u2212 3b + 2a + 4b. ___<\/li>\n\n\n\n
- Simplify: 3(x + 4) \u2212 2x. ___<\/li>\n\n\n\n
- Write an expression for: “5 more than three times a number n.” ___<\/li>\n\n\n\n
- Write an expression for: “a number doubled and then decreased by 7.” ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) 19 2) \u221213 3) 10 4) 5x 5) 7a + b 6) x + 12 7) 3n + 5 8) 2n \u2212 7<\/p>\n\n\n\n
\n\n\n\nPractice Set 8 \u2014 Solving One- and Two-Step Equations<\/strong><\/p>\n\n\n\n
- \n
- x + 8 = 15 \u2192 x = ___<\/li>\n\n\n\n
- n \u2212 6 = \u22123 \u2192 n = ___<\/li>\n\n\n\n
- 3m = 24 \u2192 m = ___<\/li>\n\n\n\n
- y \u00f7 4 = \u22125 \u2192 y = ___<\/li>\n\n\n\n
- 2x + 5 = 17 \u2192 x = ___<\/li>\n\n\n\n
- 3n \u2212 7 = 14 \u2192 n = ___<\/li>\n\n\n\n
- x\/3 + 4 = 9 \u2192 x = ___<\/li>\n\n\n\n
- 4(n \u2212 2) = 20 \u2192 n = ___<\/li>\n\n\n\n
- A number multiplied by 5 and then increased by 3 equals 28. What is the number? ___<\/li>\n\n\n\n
- Rami has some cards. After giving away 8 and doubling what he has left, he has 14 cards. How many did he start with? ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) 7 2) 3 3) 8 4) \u221220 5) 6 6) 7 7) 15 8) 7 9) 5 10) 15<\/p>\n\n\n\n
\n\n\n\nGrade 7 Math Worksheets: Data Practice Problems<\/h2>\n\n\n\n
Practice Set 9 \u2014 Data Analysis<\/strong><\/p>\n\n\n\n
Use this data set for questions 1\u20136:<\/em> Scores on a math quiz: 8, 6, 9, 7, 6, 10, 5, 8, 9, 6<\/p>\n\n\n\n
- \n
- What is the mean? ___<\/li>\n\n\n\n
- What is the median? ___<\/li>\n\n\n\n
- What is the mode? ___<\/li>\n\n\n\n
- What is the range? ___<\/li>\n\n\n\n
- If one more student scored 10, how would the mean change? ___<\/li>\n\n\n\n
- Which score appears most often? ___<\/li>\n<\/ol>\n\n\n\n
Circle graph question:<\/em> 7. In a class, 40% chose hockey, 25% chose soccer, 20% chose basketball, and 15% chose tennis as their favourite sport. What angle represents hockey in a circle graph? ___ 8. What angle represents tennis? ___<\/p>\n\n\n\n
Answers:<\/strong> 1) 7.4 2) 7.5 (average of 7 and 8) 3) 6 4) 5 5) New mean = (74 + 10) \u00f7 11 \u2248 7.6 6) 6 7) 144\u00b0 8) 54\u00b0<\/p>\n\n\n\n
\n\n\n\nGrade 7 Math Worksheets: Geometry Practice Problems<\/h2>\n\n\n\n
Practice Set 10 \u2014 Transformations and Similarity<\/strong><\/p>\n\n\n\n
- \n
- A triangle is translated 3 units right and 4 units down. Do its side lengths change? ___<\/li>\n\n\n\n
- A shape is reflected across the y-axis. Does its size change? ___<\/li>\n\n\n\n
- Two triangles are similar. One has sides 3, 4, 5. The other’s shortest side is 6. What are the other two sides? ___<\/li>\n\n\n\n
- A rectangle is enlarged by a scale factor of 3. If the original is 4 cm \u00d7 7 cm, what are the new dimensions? ___<\/li>\n\n\n\n
- What type of transformation produces a mirror image? ___<\/li>\n\n\n\n
- What type of transformation turns a shape around a fixed point? ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) No 2) No 3) 8 and 10 4) 12 cm \u00d7 21 cm 5) Reflection 6) Rotation<\/p>\n\n\n\n
\n\n\n\nGrade 7 Math Worksheets: Measurement Practice Problems<\/h2>\n\n\n\n
Practice Set 11 \u2014 Area, Circumference and Volume<\/strong><\/p>\n\n\n\n
Use \u03c0 \u2248 3.14<\/p>\n\n\n\n
- \n
- Find the circumference of a circle with radius 5 cm. ___<\/li>\n\n\n\n
- Find the area of a circle with diameter 8 cm. ___<\/li>\n\n\n\n
- Find the volume of a rectangular prism with length 6 cm, width 4 cm, height 5 cm. ___<\/li>\n\n\n\n
- Find the surface area of a cube with side length 3 cm. ___<\/li>\n\n\n\n
- A composite shape is made of a rectangle (6 \u00d7 4 cm) and a triangle on top (base 6 cm, height 3 cm). Find the total area. ___<\/li>\n\n\n\n
- A cylindrical can has a radius of 4 cm and height of 10 cm. Find its volume. ___<\/li>\n\n\n\n
- A circular garden has a radius of 7 m. Find its area. ___<\/li>\n\n\n\n
- Find the perimeter of a shape made of a rectangle (8 \u00d7 5 cm) with a semicircle on one end (diameter 5 cm). ___<\/li>\n<\/ol>\n\n\n\n
Answers:<\/strong> 1) 31.4 cm 2) 50.24 cm\u00b2 3) 120 cm\u00b3 4) 54 cm\u00b2 5) 33 cm\u00b2 6) 502.4 cm\u00b3 7) 153.86 m\u00b2 8) 28 + 7.85 = 35.85 cm<\/p>\n\n\n\n
\n\n\n\nWhy Grade 7 Is the Most Important Year to Address Math Gaps<\/h2>\n\n\n\n
Grade 7 is not just another year of school mathematics. It is the transition point from concrete, arithmetic-focused elementary mathematics to abstract, algebra-focused secondary mathematics \u2014 and the gap between the two is wider than most parents realise until their child is already in it.<\/p>\n\n\n\n
The key skills introduced in Grade 7 \u2014 integers, algebraic expressions, solving equations, proportional reasoning \u2014 are not self-contained topics that can be left with gaps and revisited later. They are the foundation of Grade 8, Grade 9, and everything that follows. A student who leaves Grade 7 without genuine fluency in algebra and integers will find every subsequent year of mathematics harder than it needs to be.<\/p>\n\n\n\n
This is also the year many students decide \u2014 consciously or not \u2014 whether they are “a maths person” or not. A student who hits a wall in Grade 7 and doesn’t get the right support often draws a conclusion about ability that is simply not accurate. Getting help in Grade 7, rather than waiting for the problem to surface in Grade 9 when the stakes are higher, is the single most effective intervention most families can make.<\/p>\n\n\n\n
For a full picture of how Grade 7 connects to what comes next, see our Grade 8 math curriculum Ontario guide<\/a> and Ontario Grade 9 math curriculum guide<\/a>.<\/p>\n\n\n\n
\n\n\n\n![\"\"](\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-23-2026-10_17_03-AM-1-1024x409.png\")
<\/a><\/figure>\n\n\n\n
\n\n\n\nSigns Your Grade 7 Child Needs More Than Worksheets<\/h2>\n\n\n\n
Integers are confusing, not just hard.<\/strong> A child who understands that \u22123 \u2212 (\u22127) = 4 (subtracting a negative makes it positive) has a conceptual grip on integers. A child who just tries to remember rules without understanding them will make inconsistent errors \u2014 getting some problems right by luck and others wrong seemingly at random. Rule memorisation without understanding fails under test conditions.<\/p>\n\n\n\n
Algebra feels like a foreign language.<\/strong> When a student says “I don’t get algebra” they usually mean one of two things: they don’t understand what a variable represents, or they don’t understand the logic of equation solving (what you do to one side you do to the other). Both are fixable with the right explanation \u2014 but they require explanation, not more practice problems.<\/p>\n\n\n\n
Word problems trigger shutdown.<\/strong> A child who can solve 2x + 5 = 17 but freezes when asked “a number doubled and increased by 5 equals 17 \u2014 what is the number?” has a translation gap between mathematical language and everyday language. This gap widens in Grade 8 and Grade 9 as problems become more applied.<\/p>\n\n\n\n
Their Gauss contest result was disappointing.<\/strong> The Gauss Contest<\/a> is taken by many Grade 7 students across Canada. A lower-than-expected result is often the first objective signal that gaps exist \u2014 not in a student’s effort or intelligence, but in specific concepts that weren’t solidly built. Our math enrichment guide<\/a> covers how to use a disappointing competition result constructively.<\/p>\n\n\n\n
Test marks are declining.<\/strong> A drop between Grade 6 and Grade 7 marks is common \u2014 and significant. It is not always a sign of effort decreasing. It is frequently a sign that the Grade 7 content has exceeded the student’s current foundation, and the gap is widening rather than closing on its own.<\/p>\n\n\n\n
\n\n\n\nHow Think Academy Helps Grade 7 Students<\/h2>\n\n\n\n
Think Academy Canada works with students from Grade 1 through Grade 12. At the Grade 7 level, our focus is on building the algebraic fluency and integer fluency that the rest of secondary school mathematics depends on.<\/p>\n\n\n\n
Our Grade 7 programme is diagnostic-led: every student starts with an assessment that identifies specifically which concepts have gaps and which are solid, and the programme builds from there. Students who are behind catch up. Students who are at grade level build the above-grade-level skills that will matter in Grade 8, Grade 9, and beyond.<\/p>\n\n\n\n
The free assessment takes 20 minutes and produces a written feedback report showing exactly which Grade 7 strands need work. No obligation \u2014 just a clear, honest picture of where your child stands.<\/p>\n\n\n\n
\n\n\n\nFrequently Asked Questions<\/h2>\n\n\n\n
What maths should a Grade 7 student know by the end of the year?<\/strong> By the end of Grade 7, students should be able to add, subtract, multiply, and divide integers fluently; simplify and evaluate algebraic expressions; solve two-step equations; work with fractions and percent in multi-step problems; calculate area and circumference of circles; find the volume of prisms; and read and interpret circle graphs.<\/p>\n\n\n\n
My child can do the worksheets but fails the tests. Why?<\/strong> Two common reasons. First, worksheets are often done without time pressure and with support available \u2014 tests remove both. Second, Grade 7 tests frequently combine concepts from multiple strands in a single problem, which requires the student to decide which approach to use before applying it. Practising in exam conditions \u2014 timed, independently, with unfamiliar problem combinations \u2014 closes this gap more effectively than more worksheets.<\/p>\n\n\n\n
Are these problems aligned to EQAO?<\/strong> These problems are aligned to the Ontario Grade 7 mathematics curriculum. EQAO assesses Grade 3 and Grade 6 in Ontario \u2014 not Grade 7. However, Grade 7 content feeds directly into Grade 8, which feeds into the Grade 9 EQAO assessment. See our EQAO Grade 6 complete guide<\/a> for the closest EQAO reference point.<\/p>\n\n\n\n
My child is ahead \u2014 are these problems too easy?<\/strong> Possibly. For students who have mastered Grade 7 content, Grade 8 algebra and geometry are the right next challenge. See our Grade 8 math curriculum guide<\/a> for what that looks like. For students who are significantly ahead, mathematics competitions \u2014 particularly the Gauss Contest<\/a> \u2014 are the most meaningful way to test that ability.<\/p>\n\n\n\n
How much practice does a Grade 7 student need each week?<\/strong> Three to four focused practice sessions of 20\u201325 minutes each, consistently maintained across the school year, produces more durable learning than occasional long sessions. The key is consistency \u2014 and targeting the specific strands that are weakest, not just the ones that feel comfortable.<\/p>\n\n\n\n
\n\n\n\nSee our related guides: Grade 7 math curriculum Ontario<\/a> \u00b7 Grade 6 math curriculum Ontario<\/a> \u00b7 Grade 8 math curriculum Ontario<\/a> \u00b7 Ontario Grade 9 math curriculum<\/a> \u00b7 math order of operations guide<\/a> \u00b7 adding and subtracting integers<\/a> \u00b7 Gauss math contest guide<\/a> \u00b7 math enrichment guide<\/a> \u00b7 number sense parent guide<\/a> \u00b7 Grade 4 math worksheets<\/a> \u00b7 Grade 3 math worksheets<\/a><\/em><\/p>\n\n\n\n
\n\n\n\nGrade 7 gaps don’t fix themselves. Find out exactly what your child needs \u2014 free.<\/strong><\/p>\n\n\n\n
![\"\"](\"https:\/\/blog-admin.thethinkacademy.com\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-23-2026-10_20_33-AM-1-1024x409.png\")
<\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"
- Algebra<\/strong> \u2014 patterns, algebraic expressions, solving one- and two-step equations<\/li>\n\n\n\n