Class VI Integer worksheet with ten problems requiring students to find missing operations and results.

Problem Analysis:

The worksheet asks us to solve a series of integer arithmetic problems. The operations involved are addition and subtraction, and we need to carefully handle the signs of the integers.

Solution:

#### (i) $-5 + (-6) = -5 \boxed{+} 6 = \boxed{-11}$
- Adding two negative numbers is equivalent to adding their absolute values and keeping the negative sign.
- $-5 + (-6) = -(5 + 6) = -11$.

#### (ii) $7 - (+5) = 7 \boxed{-} 5 = \boxed{2}$
- Subtracting a positive number is the same as adding its negative.
- $7 - (+5) = 7 - 5 = 2$.

#### (iii) $4 - (-4) = 4 \boxed{+} 4 = \boxed{8}$
- Subtracting a negative number is the same as adding its positive counterpart.
- $4 - (-4) = 4 + 4 = 8$.

#### (iv) $-4 - (-8) = -4 \boxed{+} 8 = \boxed{4}$
- Subtracting a negative number is the same as adding its positive counterpart.
- $-4 - (-8) = -4 + 8 = 4$.

#### (v) $-3 - (+5) = -3 \boxed{-} 5 = \boxed{-8}$
- Subtracting a positive number is the same as adding its negative.
- $-3 - (+5) = -3 - 5 = -(3 + 5) = -8$.

#### (vi) $-5 + (+4) = -5 \boxed{+} 4 = \boxed{-1}$
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger and keeping the sign of the larger.
- $-5 + (+4) = -5 + 4 = -(5 - 4) = -1$.

#### (vii) $5 + (+10) = 5 \boxed{+} 10 = \boxed{15}$
- Adding two positive numbers is straightforward.
- $5 + (+10) = 5 + 10 = 15$.

#### (viii) $8 + (-4) = 8 \boxed{-} 4 = \boxed{4}$
- Adding a negative number is the same as subtracting its positive counterpart.
- $8 + (-4) = 8 - 4 = 4$.

#### (ix) $-6 + (+5) = -6 \boxed{+} 5 = \boxed{-1}$
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger and keeping the sign of the larger.
- $-6 + (+5) = -6 + 5 = -(6 - 5) = -1$.

#### (x) $6 + (-10) = 6 \boxed{-} 10 = \boxed{-4}$
- Adding a negative number is the same as subtracting its positive counterpart.
- $6 + (-10) = 6 - 10 = -(10 - 6) = -4$.

Final Answers:

\[
\boxed{
\begin{aligned}
&\text{(i)} & -5 + (-6) &= -11 \\
&\text{(ii)} & 7 - (+5) &= 2 \\
&\text{(iii)} & 4 - (-4) &= 8 \\
&\text{(iv)} & -4 - (-8) &= 4 \\
&\text{(v)} & -3 - (+5) &= -8 \\
&\text{(vi)} & -5 + (+4) &= -1 \\
&\text{(vii)} & 5 + (+10) &= 15 \\
&\text{(viii)} & 8 + (-4) &= 4 \\
&\text{(ix)} & -6 + (+5) &= -1 \\
&\text{(x)} & 6 + (-10) &= -4 \\
\end{aligned}
}
\]