Azaz Tuition Centre - Class 10 Maths Test

Azaz Tuition Centre

Class 10 - Mathematics Assessment

Subject: Mathematics (Arithmetic Progressions) Maximum Marks: 30
Time Allowed: 1 Hour

General Instructions: All questions are compulsory.

Part A: Short Answer Questions (5 x 2 = 10 Marks)
1. Find the first term and common difference of the Arithmetic Progression whose nth term is tn = 4 - 7n. [2]
2. Find the 19th term of the A.P. –11, –15, –19, ... [2]
3. Which term of the A.P. 16, 11, 6, 1, ... is –54? [2]
4. If 3 + k, 18 – k, 5k + 1 are in A.P. then find the value of k. [2]
5. Find x, y and z, given that the numbers x, 10, y, 24, z are in A.P. [2]
Part B: Medium Answer Questions (3 x 4 = 12 Marks)
6. Find the middle term(s) of the A.P. 9, 15, 21, 27, ..., 183. [4]
7. The sum of three consecutive terms that are in A.P. is 27 and their product is 288. Find the three terms. [4]
8. The ratio of the 6th and 8th term of an A.P. is 7:9. Find the ratio of the 9th term to the 13th term. [4]
Part C: Long Answer Questions (1 x 3 + 1 x 5 = 8 Marks)
9. In a theatre, there are 20 seats in the front row and 30 rows were allotted. Each successive row contains two additional seats than its front row. How many seats are there in the last row? [3]
10. In a winter season, the temperature of Ooty from Monday to Friday are in A.P. The sum of temperatures from Monday to Wednesday is 0° C and the sum of the temperatures from Wednesday to Friday is 18° C. Find the temperature on each of the five days. [5]