Competition Rules

• First team to buzz gets to answer.
• Correct Answer: +1000 points.
• Incorrect Answer: -1000 points.
• Double Points may be activated (then ±2000).
• Leaderboard updates automatically.

Problem 1: Arithmetic

$3 + 6 \times (5 + 2) = ?$

Problem 2: Pre-algebra

A toy car rolls 2 meters in 1.25 seconds. If it continues for 5 more seconds at the same speed, how far will it travel?

Problem 3: Arithmetic

A factory produces 150 toys every day. How many toys will it produce in 30 days?

Problem 4: Arithmetic DOUBLE POINTS

The sum of three consecutive even numbers is 528. What are the three numbers?

Problem 5: Probability

A bag has 4 red, 3 green, and 5 blue cards. What is the probability of not picking a red? Give a percentage (nearest whole number).

Problem 6: Linear Equation

Solve: $\tfrac{1}{2}x + 3 = 7$

Problem 7: Pre-Algebra

Solve the inequality:

$5x - 3 \geq 2x + 9$

Answer format: x ≥ … (e.g., x ≥ 5)

Problem 8: Pre-Algebra

The sum of three consecutive integers is 51. What are the integers?

Problem 9: Geometry

A right triangle has one leg 4 units and hypotenuse 5 units. Find the other leg.

Problem 10: Geometry — Midpoint

Find the midpoint of the segment with endpoints \((-2,\,5)\) and \((4,\,-1)\).

ROUND ONE ENDS

Winners Pick Teams

1–4 positions pick teams

Problem 1: Geometry

A circle has diameter 10 cm. Find its area. (Leave in terms of $\pi$.)

Problem 2: Geometry

A triangle has base 12 cm and area 48 cm². Find the height.

Problem 3: Algebra — Slope

Given $4y - 6x + 12 = 0$, write the equation in the form $y = mx + b$ and state the slope $m$.

Problem 4: Rate & Distance

A cyclist travels at 12.5 mph for 1.6 hours. How far does the cyclist travel?

Problem 5: Statistics

Ages: 10, 12, 11, 13, 14. Find the mean.

Problem 6: Systems of Equations (find x and y)

Solve the system: $\begin{cases}2x + 3y = 19\\ 5x - 2y = 1\end{cases}$

Problem 7: Statistics

Find the median of:

6, 8, 10, 12, 14, 14, 16, 18, 18, 20

Problem 8: Simplify

Simplify: $\sqrt{9} + \sqrt{16} - \sqrt{25}$

Problem 9: Fractions — Simplify

Simplify: $\dfrac{5}{8} + \dfrac{1}{4} + \dfrac{1}{8}$

Problem 10: Pythagorean Theorem DOUBLE POINTS

A ladder touches a wall at 12 ft height; bottom is 5 ft from wall. (a) Length of ladder? (b) If top is at 9 ft, how far is the bottom from the wall? (Round to the nearest hundredth.)

Problem 11: Geometry

A parallelogram has base $8\text{ cm}$ and height $6\text{ cm}$. Find its area. Include exact units.

Problem 12: Measurement

A cube has side lengths of $4\text{ cm}$. Find its volume.

Problem 13: Probability

A coin is flipped twice. What is the probability of getting two tails?

Problem 14: Triangle Perimeter (Solve for x)

The sides of a triangle are $x+2$, $x+3$, and $x+4$. If the perimeter is $36$, find $x$.

Problem 15: Algebra — Expand

Expand and simplify: $(2x - 3)(x + 5) - (x - 4)(x - 1)$

DIFFICULT PROBLEMS

SWAP QUESTIONS

Challenge Question

A bakery sells muffins in boxes of 6 at $7.80/box and cupcakes in boxes of 8 at $10.40/box. A customer buys 10 boxes total and spends $88.40. How many muffin boxes and how many cupcake boxes?

Challenge Question

Solve the system: 2x + 3y = 12, 4x - y = 5.

Problem 1: Linear Equation – Multi-step

Solve: 3(2x - 4) - 5 = 2(x + 7)

Problem 2: Linear Word Problem — Tickets

A theater sells adult tickets for $8 and child tickets for $5. If 120 tickets are sold for $840 total, how many adult and child tickets?

Problem 4: Algebraic Reasoning

If 2x + 3 = 7, find 4x + 6.

Problem 5: Linear Equation with Fractions

Solve: $\dfrac{2x-3}{4} = \dfrac{x+5}{3}$

Problem 6: Simplify – Distributive & Combine

2(3x² - 4x + 5) - (x² - 6x - 2)

Problem 7: Absolute Value (solve for x-values only)

Solve: |3x - 7| = 5

Problem 8: Substitution

If a = 2b + 1 and b = 3, find 4a - 5b.

Problem 9: Evaluate the Expression

Evaluate: $\sqrt[3]{512} - 8^2$ (Hint: $512$ is a perfect cube.)

Problem 10: Final Challenge — Pool Filling

A rectangular pool is 50 ft long and 30 ft wide. It is being filled at \(50\,\text{ft}^3/\text{min}\). If the pool is 10 ft deep, how long will it take to fill the pool completely, in hours?

COMPETITION over

This marks the conclusion of the math bowl