5. Write the value of the underlined digit in words. \[ 110058 \] 6. Complete the following, \[ 3565+\Delta=3685 \] 7. What are the factors of 24 ? 8. What is the highest commion factor of 24 and 30 ? 9. How many weeks are there in 84 days? 10. What are the prime numbers between 30 and 40 ? BONUS QUESTION Complete the pattern. 95: 16; 84; \( 32 ; 73 ; 48 ; \ldots . ; \ldots \)

Let's solve each of the problems step by step. ### 5. Write the value of the underlined digit in words. In the number \(110058\), the underlined digit is the first '0' (the thousands place). The value of this digit is \(0\). **Answer:** Zero. ### 6. Complete the following, \[ 3565+\Delta=3685 \] To find \(\Delta\), we can rearrange the equation: \[ \Delta = 3685 - 3565 \] Now, let's calculate: \[ \Delta = 120 \] **Answer:** \(120\). ### 7. What are the factors of 24? The factors of a number are the integers that can be multiplied together to produce that number. For \(24\), the factors are: - \(1\) - \(2\) - \(3\) - \(4\) - \(6\) - \(8\) - \(12\) - \(24\) **Answer:** \(1, 2, 3, 4, 6, 8, 12, 24\). ### 8. What is the highest common factor of 24 and 30? To find the highest common factor (HCF), we can list the factors of both numbers: - Factors of \(24\): \(1, 2, 3, 4, 6, 8, 12, 24\) - Factors of \(30\): \(1, 2, 3, 5, 6, 10, 15, 30\) The common factors are \(1, 2, 3, 6\). The highest of these is \(6\). **Answer:** \(6\). ### 9. How many weeks are there in 84 days? To find the number of weeks in \(84\) days, we divide by \(7\) (since there are \(7\) days in a week): \[ \text{Weeks} = \frac{84}{7} = 12 \] **Answer:** \(12\) weeks. ### 10. What are the prime numbers between 30 and 40? The prime numbers are numbers greater than \(1\) that have no divisors other than \(1\) and themselves. The prime numbers between \(30\) and \(40\) are: - \(31\) - \(37\) **Answer:** \(31, 37\). ### BONUS QUESTION Complete the pattern. The pattern given is \(95: 16; 84; 32 ; 73 ; 48 ; \ldots . ; \ldots \). To identify the pattern, let's look at the differences: - \(95 - 16 = 79\) - \(84 - 32 = 52\) - \(73 - 48 = 25\) The differences between the first and second numbers seem to decrease by \(27\) each time: - \(79 - 27 = 52\) - \(52 - 27 = 25\) Continuing this pattern: - Next difference: \(25 - 27 = -2\) So, the next number after \(48\) would be: \[ 48 - 2 = 46 \] Continuing the pattern: - The next difference would be \(46 - 27 = 19\), so: \[ 46 - 19 = 27 \] Thus, the completed pattern is: **Answer:** \(46; 27\).