Math reasoning exercise set 3

Now, lets make more questions like this

First lets analyze the last problem.

In this grid there are a sequence of numbers.. you need to identify the missing number in the grid.

To solve these type of sums you need to analyse the numbers either rowise or columnwise. And then establish an equation relating the numbers.

First you have to analyse the numbers in row 1 and see if they can be related to form an equation.. Then you need to analyze the numbers in column 1.

Once you get the equation, then you have to check if   others numbers follow the same pattern..

So for this sum the logic/equation is:

In each Row  – Number in col 1 x Number in col 3 – Number in col 2= Number in col 4

Then you have to check for each row whether this  equation fits. 

• 17×3-18 =33        
• 19 x5-42 = 53     
• 27×6-25 = 137
• So 36×2-30 = 42

Now follow the steps to make your own math question…

Step 1: Think of any logic..

It can be

In each Row  – Number in col 1 x Number in col 2 – number in col 3= number in col 4

Or

In each Row  –Number in col 2 + Number in col 1 / number in col 1= number in col 4

You can also do it rowise.

In each column –Number in row 1 / Number in row 2 + number in row 3= number in row 4

or

In each column –Number in row 2 x Number in row 3 + number in row 1= number in row 4

Make sure, the equation has numbers either from a row or from a column.  Don’t take numbers from a random row  and a random column. Don’t mix numbers .

Use any math operation in between the numbers ( addition, subtraction…..)

Step 2: Generate numbers in the grid.

• Easy level – single/double digit numbers
• Medium level – 3+ digit numbers
• Hard level – using more math operations( power, cube root, square root….)

Make sure the answer is an integer. There should be no fractions or decimals

For example

Logic: Number in col 1 + Number in col 2 / number in col 3= number in col 4

5+7/2 = 5+3.5 =8.5.   8.5 is a decimal.

You should get only integers. So chose appropriate numbers.

Step 3:  Use BODMAS to ensure you follow the correct order of operations.

As per the order

• First operation is Division
• 2^nd operation is Multiplication
• 3^rd is Addition
• 4^th is Subtraction

To calculate  3 x 2 +5 =

First do multiplication then do addition

So 3×2 = 6 then add 5.. Hence answer is 11

You should not do this way  2+5 = 7 then multiply 3. You will get 21.This is wrong. because multiplication has to be done first, then addition

Follow the order to get the correct answer.

Step 4: Remove a number

After you fill the grid. Replace any number with x .. and your question is ready..

Now make your own question.. Let your imagination run wild!

Happy learning.

I made one