Arithmetic Progression Class 10 CBSE Board 2023 - 24 (Mathematics Test)

 Mathematics Test Class 10 CBSE 2023 -24

Arithmetic Progression Test Paper CBSE 2023 - 24 (J K Online Classes)

CBSE BOARD 2023 – 24 Subject: Mathematics Class 10

Chapter: Arithmetic Progression Total Marks: 40  Total time: 75 Minutes

 

Section A (1 Mark each)

1. Show that the progression 8, 11, 14, 17, 20, …… is an AP. Find its first term and the common difference.

2. Find the nth term of the AP 14, 9, 4, -1, -6, …….

3. Find the 9^th term of the AP 3/4, 5/4, 7/4, 9/4, ……..

4. Find the sum of first 19 terms of the AP 2, 7, 12, 17, 22, …….

5. How many terms of the AP 5, 8, 11, 14, 17, ….. must be added to get the sum 948?

 Section B (3 Mark each)

1. If the 10^th term of an AP is 52 and 17^th term is 20 more than its 13^th term, find the AP.

2. If the sixth term of an AP is zero then show that its 33^rd term is three times its 15^th term.

3. Find three numbers in AP whose sum is 15 and whose product is 105.

4. In an AP the first term is -4, the last term is 29 and the sum of all its terms is 150. Find its common difference.

5. If S_n denotes the sum of first n terms of an AP, prove that S₁₂ = 3(S₈ – S₄)

Section C (5 Marks each)

1.Divide 32 into four parts which are the four terms of an AP such that the product of the first and the fourth terms is to the product of the second and the third terms is 7:15.

2. If the mth term of an AP be 1/n and its nth term be 1/m then show that its (mn)th term is 1.

3. A sum of ₹ 2800 is to be used to award four prizes. If each prize after the first is ₹ 200 less than the preceding prize, find the value of each of the prizes.

4. A man saved ₹ 33,000 in 10 months. In each month after the first, he saved ₹ 100 more than he did in the preceding month. How much did he save in the first month.

*-*-* All the Best*-*-*

🔴Beware of cyber-crime and cyber-fraudulent🔴

Previous

Next