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Age: Consider the time frames mentioned in the problem.
Geometry: It helps to know the formulas used in geometry. Draw implied figures, if necessary, to visualize word problems.
Digit: If x represents the tens digit and y represents the units digit of a two-digit number, then the number can be represented as 10x + y. The reverse is 10y + x. The sum of the digits is x + y. A three-digit number is represented by 100x +10y + z, and so on.
Money: Total value = value of each item x number of items
Mixture: Make a diagram illustrating the information given in the problem. The amounts of substances in both sides of the equation must be the same.
Uniform Motion: Apply the formula %%Distance = Rate x Time%%
%%If two objects A and B that start from the same point are going in opposite directions: Total Distance = Distance A + Distance B%%
Work: Apply the formula %%Work = Rate x Time%%
%%If a person can do a job in t hours, then his rate is 1/t.%%
Addition | Subtraction | Multiplication | Division |
---|---|---|---|
plus | minus | times | divided by |
the sum of | the difference of | the product of | the ratio of |
added to | subtracted from | multiplied by | the quotient of |
the total of | less than | twice, thrice | |
more than | less | the square of | |
increased by | decreased by | ||
diminished by |
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