Model Question Mathematics

Unit - 01

ARITHMETIC PROGRESSION





1. Ammu put 1 rupee in her savings box on the first day, 2 rupees on the second, 3 rupees on
the third and so on for 30 days. How much money did she save his





2. A tomb is being constructed using bricks. 5000 bricks were required for the foundation
step. 4875 bricks were required in the second step, 4750 bricks in the third steps and so
on. The tomb has 20 steps. Find the total number of bricks used to construct the tomb. It
was decided to increase the height of the tomb by 6 more steps. How many more bricks
are required to complete the tomb? What is the number of bricks in the top most step of
the on-tended tomb?



3. Is 684 a term of the arithmetic progression 7,29,51, …….? Give reasons.



4. Find the position of the term in an arithmetic progression 22, 28,34, 40, …. obtained by
adding 60 to the 30th term.



5. What is the difference between the 20th terms of two arithmetic progressions with same
common difference and first terms 3 and 8? Justify your answer.




6. Check whether the sum of any 9 consecutive natural numbers can be 80. Explain.





7.Form a progression of the numbers between 300 and 700 which leaves remainder 2 on
dividing by 6. Form another progression with numbers between 300 and 700 which
leaves a remainder 5 on dividing by 6. What is the difference between the sum of terms of
the these two progressions?

8.The 13th term of an arithmatic progression is 123 find the sum of its first 25 terms?

9.The sum of three consecutive terms of an A.P is 24 and its product is 440 find the terms?

10.The second term of an A.P is x and the third term is y find the common difference,first term and the fourth term?

11.The sum of the first n terms of an A.P is 4n2+3n find its first term and common difference?


Circles & Tangents

Real Numbers

Quadratic Equations

Polynomials

Solids

Trigonometry

Statistics

Co-ordinate Geometry