Advanced Math and Numerical Ability
How to Answer the Advanced Mathematics Test
- Keep track of the time.
- Answer the easy questions first, then proceed to the more difficult ones.
- Read word problems carefully and study the possible answers.
Word Problems
- Represent the unknown/s, and if possible, use only one variable.
- Formulate the working equation/s.
- Solve for the unknown/s.
- Check your answer by substituting the value in the original equation/s.
- Answer the question being asked based on your solutions. Don’t forget the units of measurements, if there are any.
Number
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 |