Hi there! I'm Teacher Amara. This drill is designed to keep your core skills sharp. We’re hitting the three areas students most often get 'rusty' on: adding fractions, finding percentages, and calculating triangle areas.

Let’s get to work!

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You can't add apples and oranges, and you can't add fourths and thirds. We need a common language—the Lowest Common Multiple (LCM).

Amara’s Step-by-Step:

Example:\frac{1}{4} + rac{2}{3}

• LCM of 4 and 3 is 12.
• $\frac{1}{4}$ becomes $\frac{3}{12}$ (multiply top and bottom by 3).
• $\frac{2}{3}$ becomes $\frac{8}{12}$ (multiply top and bottom by 4).
• $\frac{3}{12} + \frac{8}{12} = \frac{11}{12}$.

Quick Drill: What is $\frac{2}{5} + \frac{1}{4}$?

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While you can always multiply by a decimal, the fastest way to do math in your head is the 10% Rule.

• To find 10%, move the decimal point one place to the left.
• To find 5%, halve the 10% result.
• To find 30%, multiply the 10% result by 3.

Example: Find $15\%$ of $400$

• $10\%$ of $400 = 40$
• $5\%$ of $400 = 20$
• $40 + 20 = 60$

Quick Drill: Calculate $30\%$ of $150$.

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Remember: A triangle is just half of a rectangle. That’s why we divide by 2. The height must always be the perpendicular height (the one that makes a right angle with the base).

Formula:$\text{Area} = \frac{\text{base} \times \text{height}}{2}$

Example: Base $= 8\text{cm}$, Height $= 5\text{cm}$

• $8 \times 5 = 40$
• $40 \div 2 = 20\text{cm}^2$

Quick Drill: A triangle has a base of $12\text{cm}$ and a perpendicular height of $7\text{cm}$. What is its area?