To master middle-school math, you need to handle fractions, percentages, and area without overthinking. This drill is designed for repetition. If you finish before the timer, reset and try to beat your speed while maintaining accuracy.

You can't add parts of different sizes. To combine fractions, you must find a common denominator by multiplying the top and bottom of one (or both) fractions.

Quick Check:$\frac{2}{3} + \frac{1}{6}$

Practice: Solve $\frac{3}{4} + \frac{1}{8}$

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In math, "of" usually means multiply. To find a percentage of a number, turn the percentage into a decimal (move the decimal point two places to the left) and multiply.

Quick Check:$15\%$ of $60$

Practice: Solve $20\%$ of $180$

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Area measures the 'flat' space inside a shape.

• Rectangles:$\text{Length} \times \text{Width}$
• Triangles:$\frac{1}{2} \times (\text{Base} \times \text{Height})$ — Don't forget to halve it! Triangles are just half a rectangle.

Quick Check: A triangle with base $10$ and height $4$. $10 \times 4 = 40 \rightarrow 40 \div 2 = 20$.

Practice: Find the area of a rectangle with a length of $7\text{m}$ and a width of $4\text{m}$.

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Teacher Amara’s Tip: If you missed any, identify where the slip happened. Was it the multiplication table or the decimal placement? Fix the logic, then restart the drill.