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Basic Mathematics
# Basic Arithmetic

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- Partition Puzzle Warmup
- Addition and Subtraction
- Number Hunt Warmup
- Multiplication and Division
- Exponents
- Rational Exponents
- Addition/Multiplication
- Order of Operations - Parentheses
- Order of Operations
- Number Line Warmup
- Representation on the Real Line
- Word Problems
- Problem Solving
- Divisibility by 3 (Step Up Quiz)

\[ \large \color{red}3^{\color{blue}{1506}} - \color{red}3^{\color{blue}{1505}} = \ ? \]

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Jason Carr**

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A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of 2N on the ring and rolls it without slipping with an acceleration of 0.3 \(m/s^{2}\). The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring is \[\frac{p}{10}\]. Then the value of p is?

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Prashant Kr**

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Evaluate \[ \left( 20142014 \times 20142014-20142004 \times 20142024 \right).\]

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Dominick Hing**

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\[\Large \color{blue}{n}^{\color{red}{200}} < \color{green}{5}^{\color{brown}{300}}\]

Find the largest integer \(n\) that satisfies the above inequality.

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Nihar Mahajan**

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Fill the empty squares with integers from 1 to 9, using each integer exactly once, to get the given results. Calculations are done from left to right, and from top to bottom.

What is the sum of the sums of numbers on the 2 diagonals?

**Note that the center square is added twice.**

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Guiseppi Butel**

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