Arithmetic Progressions Quiz - Grade 10 Math Concept of Maths | Concept of Maths

Question 1

1. Find the 10th term of the AP: \(2, 7, 12, \dots\)

A) \(42\)

B) \(47\)

C) \(52\)

D) \(57\)

Answer

Correct Answer: B

Question 2

2. Which term of the AP \(3, 8, 13, 18, \dots\) is \(78\)?

A) 15th

B) 16th

C) 17th

D) 18th

Answer

Correct Answer: B

Question 3

3. Find the number of terms in the AP: \(7, 13, 19, \dots, 205\)

A) \(32\)

B) \(33\)

C) \(34\)

D) \(35\)

Answer

Correct Answer: C

Question 4

4. The 11th term of an AP is \(38\) and the 16th term is \(73\). Find its 31st term.

A) \(178\)

B) \(158\)

C) \(198\)

D) \(168\)

Answer

Correct Answer: A

Question 5

5. An AP consists of 50 terms of which the 3rd term is \(12\) and the last term is \(106\). Find the 29th term.

Question 6

6. If the 3rd and 9th terms of an AP are \(4\) and \(-8\) respectively, which term of this AP is zero?

A) 4th

B) 5th

C) 6th

D) 7th

Answer

Correct Answer: B

Question 7

7. Find the sum of first 22 terms of an AP in which \(d = 7\) and the 22nd term is \(149\).

A) \(1661\)

B) \(1641\)

C) \(1616\)

D) \(1681\)

Answer

Correct Answer: A

Question 8

8. Find the sum of the first 15 multiples of \(8\).

A) \(900\)

B) \(960\)

C) \(1020\)

D) \(1080\)

Answer

Correct Answer: B

Question 9

9. The sum of the first \(n\) terms of an AP is given by \(S_n = 3n^2 + 5n\). Find its 16th term.

A) \(95\)

B) \(98\)

C) \(102\)

D) \(105\)

Answer

Correct Answer: B

Question 10

10. In an AP, if \(d = -4\), \(n = 7\), and the \(n\)-th term \(a_n = 4\), then the value of the first term \(a\) is:

A) \(20\)

B) \(24\)

C) \(28\)

D) \(32\)

Answer

Correct Answer: C

Question 11

11. The first term of an AP is \(5\), the last term is \(45\) and the sum is \(400\). Find the number of terms.

A) \(14\)

B) \(16\)

C) \(18\)

D) \(20\)

Answer

Correct Answer: B

Question 12

12. If \(7\) times the 7th term of an AP is equal to \(11\) times its 11th term, then its 18th term will be:

A) \(0\)

B) \(1\)

C) \(-1\)

D) \(18\)

Answer

Correct Answer: A

Question 13

13. Which term of the AP \(121, 117, 113, \dots\) is its first negative term?

A) 31st

B) 32nd

C) 33rd

D) 34th

Answer

Correct Answer: B

Question 14

14. Determine the first term of the AP whose 3rd term is \(16\) and the 7th term exceeds the 5th term by \(12\).

A) \(2\)

B) \(4\)

C) \(6\)

D) \(8\)

Answer

Correct Answer: B

Question 15

15. 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 term of the AP.

A) \(-13\)

B) \(-10\)

C) \(-15\)

D) \(-8\)

Answer

Correct Answer: A

Question 16

16. Find the sum of first 51 terms of an AP whose second and third terms are \(14\) and \(18\) respectively.

A) \(5610\)

B) \(5600\)

C) \(5710\)

D) \(5810\)

Answer

Correct Answer: A

Question 17

17. How many terms of the AP \(9, 17, 25, \dots\) must be taken to give a sum of \(636\)?

A) \(10\)

B) \(11\)

C) \(12\)

D) \(13\)

Answer

Correct Answer: C

Question 18

18. If the sum of the first 7 terms of an AP is \(49\) and that of 17 terms is \(289\), find the sum of first \(n\) terms.

A) \(n^2\)

B) \(n^2 + 1\)

C) \(2n^2\)

D) \(n^2 - 1\)

Answer

Correct Answer: A

Question 19

19. Find the 20th term from the last term of the AP: \(3, 8, 13, \dots, 253\)

A) \(153\)

B) \(158\)

C) \(163\)

D) \(168\)

Answer

Correct Answer: B

Question 20

20. 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?

A) 2003

B) 2004

C) 2005

D) 2006

Answer

Correct Answer: C

Accepted Answer

Correct Answer: C

Grade 10 Math Mastery: Arithmetic Progressions Quiz | Concept of Maths

Grade 10 Math Mastery: Arithmetic Progressions Quiz | Concept of Maths

Discussion 0

Enjoyed this content?

6. If the 3rd and 9th terms of an AP are \(4\) and \(-8\) respectively, which term of this AP is zero?

7. Find the sum of first 22 terms of an AP in which \(d = 7\) and the 22nd term is \(149\).

8. Find the sum of the first 15 multiples of \(8\).

9. The sum of the first \(n\) terms of an AP is given by \(S_n = 3n^2 + 5n\). Find its 16th term.

10. In an AP, if \(d = -4\), \(n = 7\), and the \(n\)-th term \(a_n = 4\), then the value of the first term \(a\) is:

11. The first term of an AP is \(5\), the last term is \(45\) and the sum is \(400\). Find the number of terms.

12. If \(7\) times the 7th term of an AP is equal to \(11\) times its 11th term, then its 18th term will be:

13. Which term of the AP \(121, 117, 113, \dots\) is its first negative term?

14. Determine the first term of the AP whose 3rd term is \(16\) and the 7th term exceeds the 5th term by \(12\).

15. 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 term of the AP.

16. Find the sum of first 51 terms of an AP whose second and third terms are \(14\) and \(18\) respectively.

17. How many terms of the AP \(9, 17, 25, \dots\) must be taken to give a sum of \(636\)?

18. If the sum of the first 7 terms of an AP is \(49\) and that of 17 terms is \(289\), find the sum of first \(n\) terms.

19. Find the 20th term from the last term of the AP: \(3, 8, 13, \dots, 253\)

20. 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?

Arithmetic Progressions Quiz - Grade 10 Math Concept of Maths | Concept of Maths

1. Find the 10th term of the AP: \(2, 7, 12, \dots\)

2. Which term of the AP \(3, 8, 13, 18, \dots\) is \(78\)?

3. Find the number of terms in the AP: \(7, 13, 19, \dots, 205\)

4. The 11th term of an AP is \(38\) and the 16th term is \(73\). Find its 31st term.

5. An AP consists of 50 terms of which the 3rd term is \(12\) and the last term is \(106\). Find the 29th term.

Grade 10 Math Mastery: Arithmetic Progressions Quiz | Concept of Maths

Grade 10 Math Mastery: Arithmetic Progressions Quiz | Concept of Maths

Share This Quiz

Discussion 0

Enjoyed this content?

Related Content

6. If the 3rd and 9th terms of an AP are \(4\) and \(-8\) respectively, which term of this AP is zero?

7. Find the sum of first 22 terms of an AP in which \(d = 7\) and the 22nd term is \(149\).

8. Find the sum of the first 15 multiples of \(8\).

9. The sum of the first \(n\) terms of an AP is given by \(S_n = 3n^2 + 5n\). Find its 16th term.

10. In an AP, if \(d = -4\), \(n = 7\), and the \(n\)-th term \(a_n = 4\), then the value of the first term \(a\) is:

11. The first term of an AP is \(5\), the last term is \(45\) and the sum is \(400\). Find the number of terms.

12. If \(7\) times the 7th term of an AP is equal to \(11\) times its 11th term, then its 18th term will be:

13. Which term of the AP \(121, 117, 113, \dots\) is its first negative term?

14. Determine the first term of the AP whose 3rd term is \(16\) and the 7th term exceeds the 5th term by \(12\).

15. 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 term of the AP.

16. Find the sum of first 51 terms of an AP whose second and third terms are \(14\) and \(18\) respectively.

17. How many terms of the AP \(9, 17, 25, \dots\) must be taken to give a sum of \(636\)?

18. If the sum of the first 7 terms of an AP is \(49\) and that of 17 terms is \(289\), find the sum of first \(n\) terms.

19. Find the 20th term from the last term of the AP: \(3, 8, 13, \dots, 253\)

20. 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?