fun with numbers

Remembering Ramanujam

more with numbers

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

fun with numbers

Remembering Ramanujam

more on interesting numbers

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321

numbers

Remembering Ramanujam
Fun with numbers --- note the symmetry
1 x 9 + 2 = 11
12 x 9 + 3 = 121
123 x 9 + 3 = 12321
1234 x 9 + 4 = 1234321
12345 x 9 + 5 = 123454321
123456 x 9 + 6 = 12345654321
1234567 x 9 + 7 = 1234567654321
12345678 x 9 + 8 = 123456787654321
123456789 x 9 + 9 = 12345678987654321

numbers

10th was the BD of Ramanujam

to remember him here is some interesting symmetry in numbers

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321 

15 questions for IPM and MTSE -- STD VIII

15 questions for IPM and MTSE -- STD VIII

numbers

The number 142857 has the remarkable property that multiplying it by 1, 2, 3, 4, 5, and 6 cyclically permutes the digits.

142857 x 1 = 142857
142857 x 2 = 285714
142857 x 3 = 428571
142857 x 4 = 571428
142857 x 5 = 714285
142857 x 6 = 857142

can you think of any other number?

divisibility

 Let x and y be integers. Prove that (2x + 3y) is divisible by 17 if (9x + 5y) is divisible by 17.

puzzle

Puzzle:
Here is a list showing the month and the number for each month...
January                     7110
February                     826
March                       5313
April                           541
May                          3513
June                          4610
July                           4710
August                        681
Decipher the logic and find the number for September?

indices

If p =100.48, q =100.70 and pz = q2, then the value of z is:

number series

Solve this logical number series puzzle by replace question mark with the correct number
9090 = 4
1234 = 0
6055 = 2
9081 = 4
8888 = ?

number puzzle

solve the following:

if
5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
then find the value of 7+2+5 =

magic square

Find a 4 x 4 magic square who's sum of sides and diagonals is 60

HCF and LCM,

Delegates from 5 different schools are coming to Srimati sulochanadevi singhania school. The number of delegates from Kendriya vidyalaya is 42, 60 from Poddars', 210 from Hiranandani, 90 from Jamnalal and 84 from Lodha. They are being put up at Satkar Residency Hotel. What is the minimum number of rooms that would be required to accommodate so that each room has the same number of occupants and occupants are all from the same school?

distance and speed

If we exclude stoppages, then the speed of a bus is 45 km/h and if we include stoppages, it is 36 km/h. For how much time does the bus stop per hour?

Magic squares

solve the magic square

hint: treat all the 4 x 4 boxes as separate magic square, and follow the rule for even order magic square to fill it up

magic square

complete the magic square

 

HCF and LCM

A number p is such that:
p = 5k1 + 4,
p = 6k1 + 5,
p = 7k1 + 6,
p = 8k1 + 7,
p = 9k1 + 8,

Find the smallest number that satisfy this condition

HCF and LCM

The product of 2 numbers and its HCF is 1080. How many such pair of numbers are possible which satisfy the above condition?

Brihan Mumbai Ganit Adhyapak Mandal Maths practice paper

STD IV question paper for IPM, MTSE

STD IV question paper for IPM, MTSE