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I see you've uploaded an exam paper with several objective type questions and short answer problems. Let's go over them one by one to provide the solutions.

### **Section A: Objective Type Questions**

#### Q1:
1. **10 × -20 is equal to**  
   Correct answer: **b) -200**

2. **The measure of the complement of an angle 60° is**  
   Complementary angles add up to 90°.  
   Correct answer: **a) 30°**

3. **The median of the distribution 2, 3, 4, 7, 5, 1, 6 is**  
   Arranged: 1, 2, 3, 4, 5, 6, 7 → The median is the middle value, which is **4**.  
   Correct answer: **c) 4**

4. **1.76 × 1000 =**  
   Correct answer: **a) 1760**

5. **Value of p in 3p + 5 = 8**  
   \( 3p + 5 = 8 \implies 3p = 8 - 5 = 3 \implies p = \frac{3}{3} = 1 \)  
   Correct answer: **a) 1**

6. **The total measure of the three angles of a triangle is**  
   Correct answer: **c) 180°**

7. **The additive identity for integers is**  
   Correct answer: **b) 0**

8. **Which of the following cannot be the sides of a right triangle?**  
   We apply the Pythagoras theorem \( a^2 + b^2 = c^2 \). For each option:
   - a) \( 5^2 + 12^2 = 13^2 \) (Yes, satisfies)
   - b) \( 2^2 + 2^2 \neq 3^2 \) (Does not satisfy)
   - c) \( 6^2 + 8^2 = 10^2 \) (Yes, satisfies)
   - d) \( 3^2 + 4^2 = 5^2 \) (Yes, satisfies)  
   Correct answer: **b) 2 cm, 2 cm, 3 cm**

9. **The measure of the angle which is equal to its supplement is**  
   An angle that is equal to its supplement is 90°.  
   Correct answer: **c) 90°**

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### **Q2: Fill in the Blanks**

a) **\(-36 / -9 = 4\)**  
b) **\( \frac{3}{5} \times 5 \frac{1}{4} = 1 \frac{1}{5}\)**  
   (This involves multiplying fractions)
c) **An exterior angle of a triangle is equal to the sum of its _opposite angles_**  
d) **If two adjacent angles are supplementary, they form a _linear pair_**  
e) **_Median_ refers to the value which lies in the middle of the data.**  
f) **Value of m in 3m / 5 = 6 is**  
   \( 3m / 5 = 6 \implies 3m = 6 \times 5 = 30 \implies m = 30 / 3 = 10 \)  
   So, \( m = 10 \).  
g) **Division of a negative integer by a negative integer gives _positive_ integer.**

---

### **Section B: Very Short Answer Questions**

#### Q3. Find the value of \( 30.94 / 0.7 \)
\[
\frac{30.94}{0.7} = 44.2
\]
Correct answer: **44.2**

#### Q4. Find the product of \( -35 \times (-12) \times (-6) \)
\[
-35 \times -12 = 420 \quad \text{and} \quad 420 \times (-6) = -2520
\]
Correct answer: **-2520**

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Would you like further details or clarifications on any specific question?

Here are 5 relative questions based on the provided content:
1. How is the complement of an angle calculated?
2. Can you explain how to find the median in a set of data?
3. What is the difference between supplementary and complementary angles?
4. Why does dividing two negative integers give a positive result?
5. How can you verify the sides of a right triangle using the Pythagoras theorem?

**Tip:** To avoid confusion when calculating the complement or supplement of angles, always remember that complementary angles sum to 90°, while supplementary angles sum to 180°.

Half Yearly Examination - 2024-25 M-7-S-1, involving topics such as multiplication, angle measures, medians, triangle properties, integer operations, etc.

This exam covers topics such as multiplication, angle measures, median calculation, geometry of triangles, integer operations, and algebraic equations. Detailed solutions for these math problems suitable for students in Grades 6-8.

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