Geometry and Algebra Problems

Geometry and Algebra Problems

• 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?

• Problem 2: A shoe box measures 38 cm long, 20 cm wide, and 14 cm high. Calculate its volume.

• 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?

• Problem 4: Convert 27 square feet to square yards.

• Problem 5: Graph the negative integers greater than -5.

• Problem 6: Calculate the degrees in a full circle.

• 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?

• Problem 8: Calculate m∠w and m∠z, using a diagram with angles.

• Problem 9: How many diagonals can be drawn from one vertex of a regular hexagon? Draw the illustration.

• Problem 10: Find the circumference of a circle with a radius of 49 inches. Use π = 22/7.

• Problem 11: Calculate the area of a trapezoid with sides of 13 m, 10 m, 18 m, and 32 m.

• Problem 12: Compare values of 𝑎² and 𝑎 if 𝑎 = 0.7

• Problem 13: Complete a table with fractions, decimals, and corresponding percentages.

• Problem 14: What percentage of 200 is 50?

• Problem 15: 25% of 5000 customers ordered hamburgers. How many did not order a hamburger? Use ratios to solve.

• Problem 16: Multiply and write the product of (2.75 × 10⁻²) and (6 × 10⁻⁸) in scientific notation.

• Problem 17: Solve 7 - y/2 = 75.

• Problem 18: Solve for f in 14.2 = 6.84 + f.

• Problem 19: Simplify (-8x²)(-2xy²)

• Problem 20: Simplify (-6) - (-8)(4) - (-2)(-5)