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# Basic Mathematics Warmups

These problems and puzzles will put your deductive reasoning ability to the test and reinforce your mathematical skills.

Using the properties of decimals and the distributive rule, can you quickly find \( 15\% \) of 64?

Hint: \( 15 \% = 10\% + 5\% \).

Using the distributive rule, which of these are equivalent to \( 7 \times 64 + 7 \times 6? \)

Using the perfect square identity, which of these is equivalent to \( 81^2 ? \)

Hint: \( (a+b)^2 = (a+b) \times ( a +b) \).

Using the difference of two squares identity, which of these is equivalent to \( 5.7 \times 6.3 ? \)

Hint: \( a^2 - b^2 = (a+b)(a-b) \).

\[35 \times 28 = \, ? \]

(No calculators! Use your head and the hint above.)

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