Story of Numbers Quiz | Grade 8 Mathematics Practice | Concept of Maths

Question 1

1. The general form of a two-digit number \( ab \) is given by:

0) \( 10a + b \)

1) \( 10b + a \)

2) \( a + b \)

3) \( a \times b \)

Answer

Correct Answer:

Question 2

2. If \( 31z5 \) is a multiple of \( 3 \), where \( z \) is a single digit, what is the least possible value of \( z \)?

0) \( 0 \)

1) \( 1 \)

2) \( 2 \)

3) \( 3 \)

Answer

Correct Answer:

Question 3

3. The difference \( ab - ba \) (where \( a > b \)) of a two-digit number and its reversed form is always divisible by:

0) \( 11 \)

1) \( 9 \)

2) \( 10 \)

3) \( 7 \)

Answer

Correct Answer:

Question 4

4. The sum of a two-digit number \( ab \) and the number obtained by reversing its digits \( ba \) is always exactly divisible by:

0) \( 9 \)

1) \( 10 \)

2) \( 11 \)

3) \( 12 \)

Answer

Correct Answer:

Question 5

5. If the number \( 24x \) is a multiple of \( 9 \), what is the value of the digit \( x \)?

0) \( 1 \)

1) \( 3 \)

2) \( 6 \)

3) \( 9 \)

Answer

Correct Answer:

Question 6

6. In the cryptarithm \( A + A + A = BA \), what are the respective values of digits \( A \) and \( B \)?

0) \( A = 5, B = 1 \)

1) \( A = 1, B = 5 \)

2) \( A = 4, B = 1 \)

3) \( A = 6, B = 1 \)

Answer

Correct Answer:

Question 7

7. The general expanded form of a three-digit number \( abc \) is:

0) \( 100a + 10b + c \)

1) \( 100c + 10b + a \)

2) \( a + b + c \)

3) \( 1000a + 10b + c \)

Answer

Correct Answer:

Question 8

8. If a number is divisible by both \( 2 \) and \( 3 \), it is always divisible by:

0) \( 5 \)

1) \( 6 \)

2) \( 8 \)

3) \( 9 \)

Answer

Correct Answer:

Question 9

9. The sum of the digits of a two-digit number is \( 9 \). If \( 27 \) is added to the number, its digits get reversed. What is the number?

0) \( 27 \)

1) \( 36 \)

2) \( 63 \)

3) \( 45 \)

Answer

Correct Answer:

Question 10

10. A number is definitively divisible by \( 5 \) if its units digit is:

0) \( 0 \) or \( 2 \)

1) \( 2 \) or \( 5 \)

2) \( 0 \) or \( 5 \)

3) \( 5 \) only

Answer

Correct Answer:

Question 11

11. Find the value of \( Q \) in the addition: \( 31Q + 1Q3 = 501 \).

0) \( 6 \)

1) \( 7 \)

2) \( 8 \)

3) \( 9 \)

Answer

Correct Answer:

Question 12

12. What is the smallest 3-digit number that is divisible by \( 4 \)?

0) \( 100 \)

1) \( 104 \)

2) \( 112 \)

3) \( 120 \)

Answer

Correct Answer:

Question 13

13. If \( A \times 3 = 1A \), what is the value of the digit \( A \)?

0) \( 2 \)

1) \( 4 \)

2) \( 5 \)

3) \( 6 \)

Answer

Correct Answer:

Question 14

14. If \( 52x \) is a multiple of \( 11 \), what is the value of digit \( x \)?

0) \( 6 \)

1) \( 7 \)

2) \( 8 \)

3) \( 9 \)

Answer

Correct Answer:

Question 15

15. Which of the following is NOT a valid single digit in the base-10 number system?

0) \( 0 \)

1) \( 5 \)

2) \( 9 \)

3) \( 10 \)

Answer

Correct Answer:

Question 16

16. A three-digit number \( abc \) is divisible by \( 10 \) if and only if:

0) \( a = 0 \)

1) \( b = 0 \)

2) \( c = 0 \)

3) \( c = 5 \)

Answer

Correct Answer:

Question 17

17. Given the multiplication puzzle \( 1Z \times Z = 9Z \), find the digit \( Z \).

0) \( 4 \)

1) \( 5 \)

2) \( 6 \)

3) \( 8 \)

Answer

Correct Answer:

Question 18

18. The difference between a 3-digit number \( abc \) and its reversed form \( cba \) (assuming \( a > c \)) is always divisible by:

0) \( 11 \)

1) \( 99 \)

2) \( 100 \)

3) \( 90 \)

Answer

Correct Answer:

Question 19

19. Find the values of \( A \) and \( B \) if \( AB \times 6 = BBB \).

0) \( A = 7, B = 4 \)

1) \( A = 4, B = 7 \)

2) \( A = 7, B = 2 \)

3) \( A = 4, B = 4 \)

Answer

Correct Answer:

Question 20

20. Any six-digit number formed by repeating a three-digit block, like \( abcabc \), is always exactly divisible by:

0) \( 7, 11 \text{ and } 13 \)

1) \( 3, 7 \text{ and } 11 \)

2) \( 2, 3 \text{ and } 5 \)

3) \( 11, 13 \text{ and } 17 \)

Answer

Correct Answer:

Mastering the Story of Numbers: Grade 8 Challenge | Concept of Maths

Mastering the Story of Numbers: Grade 8 Challenge | Concept of Maths

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5. If the number \( 24x \) is a multiple of \( 9 \), what is the value of the digit \( x \)?

6. In the cryptarithm \( A + A + A = BA \), what are the respective values of digits \( A \) and \( B \)?

7. The general expanded form of a three-digit number \( abc \) is:

8. If a number is divisible by both \( 2 \) and \( 3 \), it is always divisible by:

9. The sum of the digits of a two-digit number is \( 9 \). If \( 27 \) is added to the number, its digits get reversed. What is the number?

10. A number is definitively divisible by \( 5 \) if its units digit is:

11. Find the value of \( Q \) in the addition: \( 31Q + 1Q3 = 501 \).

12. What is the smallest 3-digit number that is divisible by \( 4 \)?

13. If \( A \times 3 = 1A \), what is the value of the digit \( A \)?

14. If \( 52x \) is a multiple of \( 11 \), what is the value of digit \( x \)?

15. Which of the following is NOT a valid single digit in the base-10 number system?

16. A three-digit number \( abc \) is divisible by \( 10 \) if and only if:

17. Given the multiplication puzzle \( 1Z \times Z = 9Z \), find the digit \( Z \).

18. The difference between a 3-digit number \( abc \) and its reversed form \( cba \) (assuming \( a > c \)) is always divisible by:

19. Find the values of \( A \) and \( B \) if \( AB \times 6 = BBB \).

20. Any six-digit number formed by repeating a three-digit block, like \( abcabc \), is always exactly divisible by:

Story of Numbers Quiz | Grade 8 Mathematics Practice | Concept of Maths

1. The general form of a two-digit number \( ab \) is given by:

2. If \( 31z5 \) is a multiple of \( 3 \), where \( z \) is a single digit, what is the least possible value of \( z \)?

3. The difference \( ab - ba \) (where \( a > b \)) of a two-digit number and its reversed form is always divisible by:

4. The sum of a two-digit number \( ab \) and the number obtained by reversing its digits \( ba \) is always exactly divisible by:

Mastering the Story of Numbers: Grade 8 Challenge | Concept of Maths

Mastering the Story of Numbers: Grade 8 Challenge | Concept of Maths

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5. If the number \( 24x \) is a multiple of \( 9 \), what is the value of the digit \( x \)?

6. In the cryptarithm \( A + A + A = BA \), what are the respective values of digits \( A \) and \( B \)?

7. The general expanded form of a three-digit number \( abc \) is:

8. If a number is divisible by both \( 2 \) and \( 3 \), it is always divisible by:

9. The sum of the digits of a two-digit number is \( 9 \). If \( 27 \) is added to the number, its digits get reversed. What is the number?

10. A number is definitively divisible by \( 5 \) if its units digit is:

11. Find the value of \( Q \) in the addition: \( 31Q + 1Q3 = 501 \).

12. What is the smallest 3-digit number that is divisible by \( 4 \)?

13. If \( A \times 3 = 1A \), what is the value of the digit \( A \)?

14. If \( 52x \) is a multiple of \( 11 \), what is the value of digit \( x \)?

15. Which of the following is NOT a valid single digit in the base-10 number system?

16. A three-digit number \( abc \) is divisible by \( 10 \) if and only if:

17. Given the multiplication puzzle \( 1Z \times Z = 9Z \), find the digit \( Z \).

18. The difference between a 3-digit number \( abc \) and its reversed form \( cba \) (assuming \( a > c \)) is always divisible by:

19. Find the values of \( A \) and \( B \) if \( AB \times 6 = BBB \).

20. Any six-digit number formed by repeating a three-digit block, like \( abcabc \), is always exactly divisible by: