Unit Test: Arithmetic Progressions | Mathematics (Maths) Class 10 PDF Download

Time: 1 hour

M.M. 30

Attempt all questions.

• Question numbers 1 to 5 carry 1 mark each.
• Question numbers 6 to 8 carry 2 marks each.
• Question numbers 9 to 11 carry 3 marks each.
• Question number 12 & 13 carry 5 marks each.

Q1: If a = 10 and d = 10, then first four terms will be: (1 Mark)
(a) 10, 30, 50, 60
(b) 10, 20, 30, 40
(c) 10, 15, 20, 25
(d) 10, 18, 20, 30

Q2: 11th term of the A.P. -3, -1/2, 2 …. is (1 Mark)
(a) 28
(b) 22
(c) -38
(d) -48

Q3: Which term of the A.P. 3, 8, 13, 18, … is 78? (1 Mark)

Q4: The 21st term of AP whose first two terms are -3 and 4 is: (1 Mark)
(a) 17
(b) 137
(c) 143
(d) -143

Q5: What is the common difference of an A.P. in which a₂₁ – a₇ = 84? (1 Mark)

Q6: The angles of a triangle are in A.P., the least being half the greatest. Find the angles. (2 Marks)

Q7: Find whether -150 is a term of the A.P. 17, 12, 7, 2, …? (2 Marks)

Q8: The 4^th term of an A.P. is zero. Prove that the 25th term of the A.P. is three times its 11^thterm. (2 Marks)

Q9: The 19th term of an AP is equal to three times its 6^th term. If its 9^th term is 19, find the A.P. (3 Marks)

Q10: If the seventh term of an AP is 1/9 and its ninth term is 1/7, find its 63rd term. (3 Marks)

Q11: The digits of a positive number of three digits are in A.P. and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number. (3 Marks)

Q12: A manufacturer of TV sets produced 800 sets in the third year and 1000 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find: (5 Marks)

(i) the production in the 1st year
(ii) the production in the 10th year
(iii) the total production in the first 7 years

Q13: A sum of ₹1,600 is to be used to give ten cash prizes to students of a school for their overall academic performance. If each prize is ₹20 less than its preceding prize, find the value of each of the prizes. (5 Marks)