STD 10 MATHS ONLINE TEST CHAP 5. 

You must have observed that in
nature, many things follow a certain pattern, such as the petals of a
sunflower, the holes of a honeycomb, the grains on a maize cob, the spirals on
a pineapple and on a pine cone etc. 

We now look for some patterns which occur
in our day-to-day life. Some such examples are :

(i) Reena applied for a job and
got selected. She has been offered a job with a
starting monthly

salary of ` 8000, with an
annual increment of ` 500 in her
salary. Her salary (in `) for the 1st,

2nd, 3rd, . . . years will be,
respectively 8000, 8500, 9000, . . . .

STD 10 MATHS ONLINE TEST CHAP 5

(ii) The lengths of the rungs of
a ladder decrease uniformly by 2 cm from bottom to
top .The bottom rung
is 45 cm in length. The lengths (in cm) of
the 1st, 2nd, 3rd, . . ., 8th rung from the
bottom to the top are, respectively 45, 43, 41, 39, 37, 35, 33, 31

(iii) In a savings scheme, the
amount becomes 5 4 times of itself after every 3
years. The maturity amount (in `) of an
investment of ` 8000 after 3, 6, 9 and 12 years will be, respectively :

10000, 12500, 15625, 19531.25

(iv) The number of unit squares
in squares with side 1, 2, 3, . . . units  are, respectively

12, 22, 32, 

(v) Shakila puts ` 100 into her daughter’s money box when she was one
year old and increased the amount by ` 50 every year. The amounts of money (in
`) in the box on the 1st, 2nd, 3rd, 4th, . . . birthday were 100, 150, 200, 250, . . ., respectively.

(vi) A pair of rabbits are too young to produce in their first month.
In the second, and every subsequent month, they produce a new pair. Each new pair of
rabbits produce a new pair in their second month and in every subsequent month
.Assuming no rabbit dies, the number of pairs of rabbits at
the start of the 1st, 2nd, 3rd, . . ., 6th month, respectively are :

1, 1, 2, 3, 5, 8