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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.

# Mental Shortcuts - Intermediate Warmup

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: $$a^2 - b^2 = (a+b)(a-b)$$.

$35 \times 28 = \, ?$