Understand the variation and how to solve it in mathematics JAM 2025

Variation is one of those subjects that Jamb brings quietly almost every year. It is generally only one or two questions, but they are often very easy –If you know what to do. Many students too thoughtful or forget the basic steps. But once you understand how variation works, it is one of the simplest areas to mark brands in assembly mathematics.

This guide will explain the variation in a very simple way, how to locate it and how to solve it quickly.

Read also: how to prepare for mathematics JAM 2025 and easily pass

What does the variation really mean?

The variation simply means How one quantity changes compared to another. By going, you will see words like “Varies directly”,, “Varies inversely”Or “Joint variation”. All this means that a relationship exists between two or more things.

For example:

• If the more you work, the more money you earn, it is direct variation.
• If the more people share food, the more the part of each person becomes small, it is reverse variation.
• If one thing depends on two or more things, it could be Joint or partial variation.

Start with a direct variation

If the question says: “Y varies directly as x”You simply write:

y = kx

Or k is a constant. You will receive values ​​to find kThen use it to resolve the rest of the question.

Let’s say: There varies directly as xAnd y = 10 when x = 2.

It gives us: 10 = K × 2 → K = 5

Now you can write: y = 5x

If you are asked to find there when x = 7: Y = 5 × 7 = 35

It’s as simple as that.

The opposite variation is quite the opposite

If a question says: “Y varies in conversely as x”to write:

y = k / x

Same process: find k With the values ​​given, then connect the one you are asked to find.

Example: Y varies in conversely as xAnd y = 4 when x = 3

This gives: 4 = K / 3 → K = 12

SO: y = 12 / x

If x = 6, then: y = 12/6 = 2

Remember that in a reverse variation, As one increases, the other decreases.

The joint variation looks difficult but is not

Sometimes ham says: “Y varies directly as X and vice versa that Z”
It just becomes:

y = kx / z

As long as you understand the model, you can solve it like the others.

Last words

The trick to resolve the variation issues in the amount does not rush. Read the question slowly, know what type of variation you are dealing with and write the correct formula.

After that, it’s just a simple substitution. No need to pile up – you simply train using past questionsAnd you will start to recognize the style immediately.

Variation is one of those subjects where Each brand is within range. With regular practice, you will never be confused by him on the exam.