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Questions and Answers
In a forest, the ratio of lions to tigers is 4:5, and the ratio of tigers to bears is 3:5. If there are 12 lions, how many bears are there?
In a forest, the ratio of lions to tigers is 4:5, and the ratio of tigers to bears is 3:5. If there are 12 lions, how many bears are there?
A shoebox is 38 cm long, 20 cm wide, and 14 cm high. What is the volume of the shoebox?
A shoebox is 38 cm long, 20 cm wide, and 14 cm high. What is the volume of the shoebox?
Sondra had 28 hits in 76 at-bats. What is her batting average, rounded to the nearest thousandth?
Sondra had 28 hits in 76 at-bats. What is her batting average, rounded to the nearest thousandth?
How many degrees is 1/5 of a full circle?
How many degrees is 1/5 of a full circle?
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Don bought a bookshelf for $42, which was 3/4 of the regular price. What was the regular price of the bookshelf?
Don bought a bookshelf for $42, which was 3/4 of the regular price. What was the regular price of the bookshelf?
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A right triangle has a 30-degree angle. An angle bisector is drawn from the vertex of the 30-degree angle, forming two smaller right triangles. What is the measure of the angle formed by the angle bisector and the hypotenuse of the larger triangle?
A right triangle has a 30-degree angle. An angle bisector is drawn from the vertex of the 30-degree angle, forming two smaller right triangles. What is the measure of the angle formed by the angle bisector and the hypotenuse of the larger triangle?
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How many diagonals can be drawn from one vertex of a regular hexagon?
How many diagonals can be drawn from one vertex of a regular hexagon?
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What is the circumference of a circle with a diameter of 49 inches, using (22/7) for π?
What is the circumference of a circle with a diameter of 49 inches, using (22/7) for π?
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Study Notes
Geometry and Algebra Problems
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Problem 1: In a forest, the ratio of lions to tigers is 4:5, and the ratio of tigers to bears is 3:5. If there are 12 lions, how many bears are there?
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Problem 2: A shoe box measures 38 cm long, 20 cm wide, and 14 cm high. Calculate its volume.
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Problem 3: To find a baseball player's batting average, divide the number of hits by the number of at-bats, then round to the nearest thousandth. If a player has 28 hits in 76 at-bats, what is their average?
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Problem 4: Convert 27 square feet to square yards.
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Problem 5: Graph the negative integers greater than -5.
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Problem 6: Calculate the degrees in a full circle.
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Problem 7: Don bought a bookshelf for $42, which was ⅔ of the regular price.
- What was the regular price?
- What percentage of the regular price did Don pay?
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Problem 8: Calculate m∠w and m∠z, using a diagram with angles.
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Problem 9: How many diagonals can be drawn from one vertex of a regular hexagon? Draw the illustration.
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Problem 10: Find the circumference of a circle with a radius of 49 inches. Use π = 22/7.
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Problem 11: Calculate the area of a trapezoid with sides of 13 m, 10 m, 18 m, and 32 m.
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Problem 12: Compare values of 𝑎² and 𝑎 if 𝑎 = 0.7
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Problem 13: Complete a table with fractions, decimals, and corresponding percentages.
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Problem 14: What percentage of 200 is 50?
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Problem 15: 25% of 5000 customers ordered hamburgers. How many did not order a hamburger? Use ratios to solve.
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Problem 16: Multiply and write the product of (2.75 × 10⁻²) and (6 × 10⁻⁸) in scientific notation.
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Problem 17: Solve 7 - y/2 = 75.
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Problem 18: Solve for f in 14.2 = 6.84 + f.
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Problem 19: Simplify (-8x²)(-2xy²)
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Problem 20: Simplify (-6) - (-8)(4) - (-2)(-5)
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Description
Test your skills in geometry and algebra with this quiz featuring a variety of problems including ratios, volume calculations, batting averages, and angle measurements. Perfect for high school students looking to sharpen their math abilities!
