Make 30 question first quarter review math grade 6

Here's a 30-question first-quarter math review for 6th grade. These questions cover basic topics such as arithmetic, fractions, decimals, ratios, percentages, and basic geometry. The difficulty gradually increases to help students prepare thoroughly.

### **1. Basic Arithmetic**
1. What is $25 + 37$?
2. Subtract: $84 - 29$.
3. Multiply: $9 \times 8$.
4. Divide: $56 \div 7$.
5. Solve: $36 \div 4 + 12$.

### **2. Fractions**
6. Simplify the fraction $ \frac{16}{24} $.
7. Add: $ \frac{2}{5} + \frac{3}{5} $.
8. Subtract: $ \frac{7}{8} - \frac{5}{8} $.
9. Multiply: $ \frac{2}{3} \times \frac{4}{5} $.
10. Divide: $ \frac{3}{4} \div \frac{1}{2} $.

### **3. Decimals**
11. What is $0.5 + 0.75$?
12. Subtract: $1.25 - 0.8$.
13. Multiply: $3.6 \times 0.4$.
14. Divide: $7.2 \div 0.9$.
15. Convert $0.875$ to a fraction in simplest form.

### **4. Ratios and Proportions**
16. Write the ratio of 8 to 12 in simplest form.
17. If 4 pencils cost $2, how much do 10 pencils cost?
18. A recipe calls for 3 cups of flour for 6 cookies. How many cups of flour are needed for 18 cookies?
19. If a map scale is 1 inch : 5 miles, how many miles are represented by 3 inches on the map?
20. What is the unit rate if you travel 150 miles in 3 hours?

### **5. Percentages**
21. What is 20% of 80?
22. Convert $ \frac{3}{4} $ to a percentage.
23. Increase 50 by 30%.
24. Decrease 120 by 15%.
25. If a shirt is on sale for 25% off and the original price is $40, what is the sale price?

### **6. Geometry and Measurement**
26. Find the perimeter of a rectangle with length 12 cm and width 7 cm.
27. What is the area of a triangle with a base of 5 cm and a height of 8 cm?
28. If the circumference of a circle is 31.4 cm, what is the diameter? (Use $ \pi = 3.14 $).
29. Convert 250 millimeters to centimeters.
30. A box is 5 cm long, 3 cm wide, and 4 cm high. What is its volume?

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Would you like explanations or details for any specific questions? Here are some additional questions that might extend your learning:

### 5 More Practice Questions:
1. Write 45% as a decimal.
2. Solve $7x = 35$ for $x$.
3. What is the greatest common factor (GCF) of 18 and 24?
4. A car travels 180 miles in 4 hours. What is the car's speed in miles per hour?
5. If $ \frac{2}{5} $ of a number is 10, what is the number?

### Tip: 
When working with percentages, it's often easier to convert them to fractions or decimals before solving. For example, 25% is the same as $ \frac{1}{4} $ or 0.25!

This 30-question first quarter math review for 6th graders covers key topics including arithmetic, fractions, decimals, ratios, percentages, and basic geometry. The review helps students master the core concepts needed for Grade 6 math with problems ranging from basic operations to geometry and measurement.

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