Maths Puzzles With Answers #62

Maths Puzzles With Answers #62

Answer : 2

Explanation :

The sum of the 4 digits at the corners of the diagram is 17, as is the sum of the 4 digits in the middle of each side of the diagram.

4 + 8 + 3 + ? = 17

4 + 8 + 3 + 2 = 17

7 + 4 + 4 + 2 = 17

Maths Puzzles With Answers #61

Maths Puzzles With Answers #61

Answer : 2

Explanation :

The sum of the numbers along each side of the triangle is always 15.


              2 + 3 + 3 +  7 = 15

              2 + 6 + 2 + 5 = 15

              7 + 1 + ? + 5 = 15 , 

              ie  , 7 + 1 + 2 + 5 = 15

Maths Puzzles With Answers #60

Maths Puzzles With Answers #60

Answer : 68

Explanation :

As you move down, multiply each number by 2 and subtract 4.

           6 x 2 = 12, 12 - 4 = 8 

           8 x 2 = 16, 16 - 4 = 12 

          12 x 2 = 24, 24 - 4 = 20 

          20 x 2 = 40, 40 - 4 = 36

          36 x 2 = 72, 72 - 4 = 68

Maths Puzzles With Answers #59

Maths Puzzles With Answers #59

Answer : 1

Explanation :

Add up the four outer numbers and place your answer in the center square of the shape one place clockwise.

Maths Puzzles With Answers #58

Maths Puzzles With Answers #58

Answer : 6

Explanation :

Numbers in the lower left circle equal the sum of the numbers in corresponding segments of the top two circles, and numbers in the lower right circle equal the difference of the numbers in corresponding segments of the top two circles.

Maths Puzzles With Answers #57

Maths Puzzles With Answers #57

Answer : 1

Explanation :

Working from the top row, add the values in adjacent boxes and put this sum in the box directly below, working towards the center.

Repeat this pattern starting at the bottom row as well.

Maths Puzzles With Answers #56

Maths Puzzles With Answers #55

Solution :

Taking any series of 3 numbers in a straight line in the diagram, their total is always 19.

                   6 + 9 + 4 = 19

                   2 + 11 +6 = 19

                   2 + 16 + ? = 19 = 2 + 16 + 1 = 19 

                   4 + 14 + ? = 19 = 4 + 14 + 1 = 19

                   So answer is  1.

Maths Puzzles With Answers #55

Maths Puzzles With Answers #55

Ans: 6380.


Explanation:-
The numbers inside the brackets are the squares of the numbers outside the brackets with 1 deducted. Alternatively, multiply 2, 4, 6, 8 and 10 respectively and put the number at the end of the figure in the brackets, and multiply 3, 5, 7 and 9 by 1,3, 5 and 7 respectively and put these numbers first.

Maths Puzzles With Answers #54

Maths Puzzle With Answer #54

Answer : 96

Explanation :

Moving from left to right, numbers follow the sequence of square numbers, from 6 to 10, subtracting 4 each time.

                 6² = 36 , 36 - 4 = 32

                 7² = 49, 49 - 4 = 45

                 8² = 64, 64 - 4 = 60

                 9² = 81, 81 - 4 = 77

                 10² = 100, 100 - 4 = 96

Maths Puzzles With Answers #53

Maths Puzzles With Answers #53

Answer : 7

Explanation :

In each diagram, the sum of the upper left and upper middle numbers is written in the center box, 

and the sum of the upper right and upper middle numbers is written in the lower central box.

Maths Puzzles With Answers #52

Maths Puzzles With Answers #52

Solution: 

Answer is 3527

Explanation:

In the others the sum of the first two numbers is equal to the sum of the second two numbers.

       for example 

                         9678 = 9+6 = 7+8

                         4572 = 4+5 = 7+2 

                         5261  = 5+2 = 6+1 

                         5133 = 5+1 = 3+3 

                         3257 = 3 + 2 != 5+7

                         6895 = 6+8 = 9+5

                         7768 = 7+7 = 6+8

Maths Puzzles With Answers #51

Maths Puzzles With Answers #51

Solution :-

                     ? ? = N P

Looking across, miss one then two letters of the alphabet. Looking down, miss two then one.

Maths Puzzles With Answers #50

Maths Puzzles With Answers #50

Solution:

Reading each row as a 3 digit number, the rows follow the sequence of square numbers, from 17 to 19.

       17 ² = 289 (First line Digits )

       18² = 324 (Second Line Digits )

       19² = 361 (Third Line Digits )

                 So answer is 1

Maths Puzzles With Answers #49

Maths Puzzles With Answers #49

Solution :

Starting with the numbers in the top row, and following straight lines through the center of the diagram, subtract the middle number from the top number to give the corresponding value on the bottom row.

First raw digits  : 9, 8, 4 

Middle row digits : 2

Last row digits   : 2, 6, ?

Last line first digits : 4- 2 = 2

Last line second digit : 8 - 2 = 6

Last line last digit : 9 - 2 = 7

So answer is  7 

Maths Puzzles With Answers #48

Maths Puzzles With Answers #48

Solution:-

On each row, add the values of the left hand and central boxes to give the value in the right hand box.

                        4 = 3 + 1 

                        9 = 7 + 2 

                        ? = 1+ 5 = 6

So answer is  6

Maths Puzzles With Answers #47

Maths Puzzles With Answers #47

Solution :

The number at the center of each triangle equals the sum of the lower two numbers minus the top number.

First Triangle: 

       Middle Number 12 = ( 7 + 9 ) - 4 = 16 - 4 = 12

Second Triangle :

       Middle Number,  4 = (1 + 4 ) - 1 =  5 - 1 = 4

Third Triangle :

       Middle Number,  ? = ( 6 + 5 ) - 2 = 11 - 2 = 9 

So answer is  9 

Maths Puzzles With Answers #46

Maths Puzzles With Answers #46

Solution:-


Starting with the 10 at the top, one set of numbers increases by 3 each time, written in alternate boxes as you move down the diagram, and the other set of numbers decreases by 2, written in the boxes remaining.


First set,

          10 + 3 = 13 


          13 + 3 = 16 


          16 + 3 = 19 


          19 + 3 = 22





Second set, 

           10 - 2 = 8


            8 - 2 = 6 


            6 - 2 = 4 


            4 - 2 = 2 


So answer is 2

Maths Puzzles With Answers #45

Maths Puzzles With Answers #45

Solutions:-

Working from top to bottom, double each number and subtract 1, then 2, then 3 etc.

          3 + 3 - 1 =  6 - 1 = 5


          5 + 5 - 2 = 8


           8 + 8 - 3 = 13


          13 + 13 - 4 = 22


          22 + 22 - 5 = 39

So answer is 39

Maths Puzzles WIth Answers #44

Maths Puzzles With Answers #44

Solution :-



Starting bottom left and moving clockwise around the triangle, numbers follow the sequence of Square Numbers.


                   1 + 3 = 4


                   4 + 5 = 9 


                   9 + 7 = 16 


                   16 + 9  = 25 


                   25 + 11 = 36


                   36 + 13 = 49


                   49 + 15 = 64 


                   64 + 17 = 81


           So answer is 16.

Maths Puzzles With Answer #43

Solution:-

                      Lets examine the given values.



                                First figure :

                                             9 x 8 =  72 (reading down the middle two blocks).




                                Second figure : 

                                              7 x 4 = 28 (reading down the middle two blocks).





                                Third figure :

                                                6 x 9 = 54 (reading down the middle two blocks).



                                 So the answer is  5.

Maths Puzzles With Answers #42

Solution:-


              consider each row as single digit. Lets cross check  the given values.

                        First figure,

                                  First raw digit = 5

                                 Second raw digit = 85

                                 Third raw digit = 17


                                  5 = 85 / 17




                       Second figure

                                 First raw : 7

                                 Second raw : 76

                                 Third raw : 19

                                      7 = 76 / 19



                      Last figure

                                 First raw : ?

                                 Second raw : 91

                                 Third raw : 13

                                       ? = 91 / 13 = 7

                   So answer is 7

Maths Puzzles With Answers #41

Solution :-


                   Lets examine all the given values, each number indicates its position in the grid.


                      14 = > first row and 4th column


                      22 = > 2nd raw and 2nd column


                      34 = > 3rd row and 4th column


                      41 = > 4th row and 1st column


                      53 = > 5th row and 3rd column


                       ? = >  5th row and 5th column, will be 55
                     

                     55 indicates row 5 columns 5.

Maths Puzzles With Answers #40

Solution:-



Let x be the length of the longer side x>3, then the other side's length is x-3 cm. Then the area is S1= x(x-3)cm². After we increase the lengths of the sides they will become (x+1) and (x-3+1) = (x-2) cm long. Hence the area of the new rectangle will be A2 =(x+1)*(x-2) cm², which is 18 cm² more than the first area. Therefore     


                           A1+18= A2

                               x(x−3)+18=(x+1)(x−2)

                      x2−3x+18= x2+x−2x−2

                     2x=20

                    
${\displaystyle x=10}$. So, the sides of the rectangle are ${\displaystyle \mathrm{<span\; style="color:\; red;\; font-size:\; large;"><b>10</b></span>}}$ cm and (${\displaystyle \mathrm{<span\; style="font-size:\; 15.6px;">10</span>}<span\; style="font-size:\; 15.6px;">-</span>\mathrm{<span\; style="font-size:\; 15.6px;">3</span>}<span\; style="font-size:\; 15.6px;">)</span><span\; style="font-size:\; 15.6px;">=</span>\mathrm{<span\; style="color:\; red;\; font-size:\; large;"><b>7</b></span>}}$ cm long.