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Class 9–10 Maths: AP sums practice questions

Practise ap sums for Classes 9 and 10. Try the 10-question quiz below and see each answer explained straight away, then read all 12 worked examples with answers underneath. Free, no sign-up.

AP sums: worked examples with answers

These Maths questions are generated, so a fresh set appears every time you press "Practise more questions". Here are some worked examples.

1. Find the sum of the first 18 terms of the AP that starts at 4 with common difference 5.

   1. A. 1674
   2. B. 837 ✓
   3. C. 801
   4. D. 882

   Answer: 837. Sum = n/2 × (2a + (n − 1)d) = 18/2 × (8 + 85) = 837.

2. Find the sum of the first 18 terms of the AP that starts at 9 with common difference 3.

   1. A. 618
   2. B. 639
   3. C. 621 ✓
   4. D. 1242

   Answer: 621. Sum = n/2 × (2a + (n − 1)d) = 18/2 × (18 + 51) = 621.

3. Find the sum of the first 8 terms of the AP that starts at 7 with common difference 5.

   1. A. 196 ✓
   2. B. 216
   3. C. 392
   4. D. 191

   Answer: 196. Sum = n/2 × (2a + (n − 1)d) = 8/2 × (14 + 35) = 196.

4. Find the sum of the first 8 terms of the AP that starts at 2 with common difference 5.

   1. A. 156 ✓
   2. B. 176
   3. C. 164
   4. D. 148

   Answer: 156. Sum = n/2 × (2a + (n − 1)d) = 8/2 × (4 + 35) = 156.

5. Find the sum of the first 20 terms of the AP that starts at 4 with common difference 1.

   1. A. 290
   2. B. 230
   3. C. 270 ✓
   4. D. 280

   Answer: 270. Sum = n/2 × (2a + (n − 1)d) = 20/2 × (8 + 19) = 270.

6. Find the sum of the first 18 terms of the AP that starts at 2 with common difference 3.

   1. A. 522
   2. B. 990
   3. C. 477
   4. D. 495 ✓

   Answer: 495. Sum = n/2 × (2a + (n − 1)d) = 18/2 × (4 + 51) = 495.

7. Find the sum of the first 18 terms of the AP that starts at 1 with common difference 1.

   1. A. 162
   2. B. 171 ✓
   3. C. 170
   4. D. 189

   Answer: 171. Sum = n/2 × (2a + (n − 1)d) = 18/2 × (2 + 17) = 171.

8. Find the sum of the first 20 terms of the AP that starts at 4 with common difference 3.

   1. A. 610
   2. B. 1300
   3. C. 670
   4. D. 650 ✓

   Answer: 650. Sum = n/2 × (2a + (n − 1)d) = 20/2 × (8 + 57) = 650.

9. Find the sum of the first 14 terms of the AP that starts at 3 with common difference 5.

   1. A. 532
   2. B. 994
   3. C. 511
   4. D. 497 ✓

   Answer: 497. Sum = n/2 × (2a + (n − 1)d) = 14/2 × (6 + 65) = 497.

10. Find the sum of the first 8 terms of the AP that starts at 2 with common difference 3.

    1. A. 100 ✓
    2. B. 200
    3. C. 112
    4. D. 108

    Answer: 100. Sum = n/2 × (2a + (n − 1)d) = 8/2 × (4 + 21) = 100.

11. Find the sum of the first 12 terms of the AP that starts at 5 with common difference 4.

    1. A. 336
    2. B. 324 ✓
    3. C. 320
    4. D. 348

    Answer: 324. Sum = n/2 × (2a + (n − 1)d) = 12/2 × (10 + 44) = 324.

12. Find the sum of the first 12 terms of the AP that starts at 10 with common difference 2.

    1. A. 264
    2. B. 252 ✓
    3. C. 504
    4. D. 192

    Answer: 252. Sum = n/2 × (2a + (n − 1)d) = 12/2 × (20 + 22) = 252.

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