Grade 7 Mathematics

Scope: Whole Numbers, Common Fractions, Decimal Fractions, Patterns and Percentages. 

Please note to be able to see other content, don’t f📝 Grade 7 Term 1 Maths Test Notes: Your Study Guide

Total Marks: 40 

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🧠 Your Study Checklist & Handy Tips

1. Whole Numbers (About 15 – 20 Marks)

This is the biggest section, so make sure you spend time here!

• Place Value: Can you read and write 8 and 9-digit numbers?
• Handy Tip: Remember the commas. For 12 345 678, the millions are 12 and the thousands are 345.
• Ordering and Comparing: Can you put big numbers in ascending (smallest to biggest) or descending (biggest to smallest) order?
• Handy Tip: Always line up the digits to the right when comparing. The number with the most digits is usually biggest, unless it has leading zeros.
• Properties of Operations: Know the names:
• Commutative: a + b = b + a (order doesn’t matter for + or x)
• Associative: (a + b) + c = a + (b + c) (grouping doesn’t matter for + or x)
• Distributive: a x (b + c) = (a x b) + (a x c)
• Factors, Multiples, and Prime Numbers:
• Handy Tip: Factors are numbers that divide into a number perfectly (like pieces of a puzzle). Multiples are the times tables of a number (like skip counting).
• Handy Tip: A prime number only has two factors: 1 and itself (e.g., 2, 3, 5, 7, 11).
• HCF and LCM:
• HCF (Highest Common Factor): The biggest number that divides into two numbers.
• LCM (Lowest Common Multiple): The smallest number that is in both times tables.
• Rounding Off: To the nearest 5, 10, 100, or 1000.
• Handy Tip: Underline the digit you are rounding to. Look at the digit to the right. If it’s 5 or more, round up. If it’s 4 or less, stay the same.
• Basic Operations & Word Problems: Practice +, -, x, ÷ with big numbers.
• Handy Tip: In word problems, look for keywords: “total” or “altogether” means add; “difference” or “how many more” means subtract; “share equally” or “per” means divide.

2. Common Fractions (About 10 – 15 Marks)

Fractions can be tricky, but practice makes perfect!

• Comparing and Ordering:
• Handy Tip: Use the butterfly method (cross-multiplication) to compare two fractions quickly. Multiply the denominator of one by the numerator of the other to see which is bigger.
• Calculations:
• + and -: You MUST have a common denominator first.
• x: Multiply the numerators and multiply the denominators. You can cancel (simplify) before you multiply to make it easier!
• ÷: Flip the second fraction and multiply (Keep, Change, Flip).
• Equivalent Fractions:
• Handy Tip: Whatever you do to the numerator (top), you must do to the denominator (bottom). If you multiply the top by 3, multiply the bottom by 3.
• Word Problems:
• Handy Tip: “of” usually means multiply. For example, 1/2 of 12 is the same as 1/2 x 12.

3. Decimal Fractions (About 10 – 15 Marks)

Decimals are just fractions in a different outfit!

• Comparing and Ordering:
• Handy Tip: Write them in a column, lining up the decimal points. Fill empty spaces with zeros. Now compare them like whole numbers.
• Calculations:
• + and -: Line up the decimal points, then add or subtract normally. The decimal point in the answer goes straight down.
• x: Multiply like normal numbers. Then, count the total digits after the decimal in the question. Put that many digits after the decimal in your answer.
• ÷: If dividing by a decimal (e.g., 1.2 ÷ 0.4), multiply both numbers by 10 (or 100) to make it a whole number division.
• Rounding Decimals:
• Handy Tip: Same rule as whole numbers! To round to one decimal place, look at the second decimal. 1.23 → look at the ‘3’ (less than 5), so it stays 1.2.
• Conversions:
• Handy Tip: To convert a fraction to a decimal, divide the numerator by the denominator. (e.g., 3/4 = 3 ÷ 4 = 0.75).

4. Financial Maths & Percentages (About 0 – 5 Marks)

This is real-life maths!

• Percentages:
• Handy Tip: To find 10%, divide by 10. To find 1%, divide by 100. You can use this to build any percentage. For 15%, find 10% and 5% (half of 10%) and add them together.
• Discounts and Profit/Loss:
• Handy Tip: A discount means you subtract from the original price. Profit = Selling Price – Cost Price.

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⭐ Final Exam Tips for the Day

1. Show ALL your working. Even if you get the final answer wrong, you can still get marks for the method.
2. Read word problems twice. The first time, just read. The second time, underline the numbers and the keywords.
3. Check your answers. If you have time, do a quick estimate to see if your answer makes sense. (e.g., 198 x 4 should be about 800).
4. Manage your time. If you are stuck on a question, put a star next to it and come back at the end. Don’t waste all your time on one 2-mark question.
5. Breathe and stay calm! You have prepared for this.

Good luck! You’ve got this! 🚀orget to click the mark complete icon at the bottom of each lesson’s page.

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