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Free CBSE - Class 10 Mathematics - Arithmetic Progression worksheets

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1.
Find the 20th term from the last term of the AP : 3, 8, 13, . . ., 253.
2.
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.
3.
Subba Rao started work in 1995 at an annual salary of ₹ 5000 and received an increment of ₹ 200 each year. In which year did his income reach ₹ 7000?
4.
Find the sum of the following APs:
(i) 2, 7, 12, . . ., to 10 terms.
5.
Find the sum of the following APs:
(ii) –37, –33, –29, . . ., to 12 terms.
6.
Find the sum of the following APs:
(iii) 0.6, 1.7, 2.8, . . ., to 100 terms.
7.
Find the sum of the following APs:
(iv) $\frac{1}{15}, \frac{1}{12}, \frac{1}{10}$, . . ., to 11 terms.
8.
Find the sums given below :
(i) $7 + 10\frac{1}{2} + 14 + . . . + 84$
9.
Find the sums given below :
(ii) 34 + 32 + 30 + . . . + 10
10.

A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete. Each step has a rise of $\frac{1}{4}$ m and a tread of $\frac{1}{2}$ m. (see Fig. 5.8). Calculate the total volume of concrete required to build the terrace. [Hint : Volume of concrete required to build the first step = $\frac{1}{4} \times \frac{1}{2} \times 50 m^3$]

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