Q: Why do you need conjectures in math?

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There is not "the" conjecture: there are several. The oldest and probably best known unsolved conjecture in number theory is the Goldbach conjecture. According to it every even integer greater than two can be expressed as the sum of two prime numbers.

You need to do the math to get the answers.

In order to find the unknown term in a number sequence, you first need to calaculate the advantage of the numbers.

Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.

You need math for everything weather its a job in the CIA or even a grabage man, you need math no matter where you go math is always there sometimes you would recongize it and sometimes you won't.

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That would most likely be one of the many as yet unproven conjectures that are believed to have proofs.

No. Conjectures are "good" guesses.

In geometry, deductive rules can be used to prove conjectures.

prove conjectures

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Some words that rhyme with "lectures" are textures, conjectures, and ruptures.

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.

No. You need to know it. If you go to the store you need to know how to read the prices and to figure out if you have enough money to buy what you want. Someday you will want a house or a car so math is needed in both of those things. If you want to measure for drapes or rugs you need math. To balance your checkbook you need math, to make change or get change you need math, to do your taxes you need math, to cook you need math, to know what kind of gas mileage you get you need math, to sew you need math, to frame a picture you need math, to figure your GPA you need math. Math is used for just about everything.

surmises

inductive

hypotheses or more generally conjectures should be capable of being refuted see: Karl Popper - Conjectures and Refutations

you need math 4 statistics and stuff