https://file.aiquickdraw.com/mathbot/file/17268037216689ug3dxxl.jpg

Let's go through the questions one by one to solve them:

### 21. How many items did John answer incorrectly?

John answered \(\frac{7}{8}\) of the 40 items correctly. To find the incorrect answers:
- \( \frac{7}{8} \times 40 = 35 \) (correct answers).
- To find incorrect answers: \( 40 - 35 = 5 \).

Answer: **A. 5**

### 22. Which procedure would you use to find the number of items John answered incorrectly?

We need to calculate how many were incorrect, i.e., \(1 - \frac{7}{8}\) and then multiply this by 40.
- \(1 - \frac{7}{8} = \frac{1}{8}\), so \( \frac{1}{8} \times 40 = 5 \).

Answer: **A. I only**

### 23. A group of friends ordered two pizzas... how much pizza is left?

- The first pizza is cut into 8 slices, and they ate 3 slices, leaving \( \frac{5}{8} \) of the first pizza.
- The second pizza is cut into 6 slices, and they ate 2 slices, leaving \( \frac{4}{6} = \frac{2}{3} \) of the second pizza.
- Total pizza left: \( \frac{5}{8} + \frac{2}{3} \).
   - Find a common denominator for \(8\) and \(3\): \( \frac{5}{8} = \frac{15}{24} \) and \( \frac{2}{3} = \frac{16}{24} \).
   - Total: \( \frac{15}{24} + \frac{16}{24} = \frac{31}{24} = 1 \frac{7}{24} \).

Answer: **D. \( \frac{11}{24} \)**

### 24. Due to a leak, \( \frac{1}{6} \) of the water from a \( \frac{3}{4} \) full tank was lost...

- Remaining water: \( \frac{3}{4} - \frac{1}{6} \times \frac{3}{4} \).
   - First, calculate the lost water: \( \frac{1}{6} \times \frac{3}{4} = \frac{3}{24} = \frac{1}{8} \).
   - Remaining: \( \frac{3}{4} - \frac{1}{8} = \frac{6}{8} - \frac{1}{8} = \frac{5}{8} \).

Answer: **A. \( \frac{5}{8} \)**

### 25. Mother bought 3 cakes for Nikko's birthday...

Each cake is divided into 8 slices, so there are \(3 \times 8 = 24\) slices in total. She gave 1 slice to each of the 21 visitors.
- Remaining slices: \( 24 - 21 = 3 \).

Answer: **C. 3**

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### For numbers 26–29: Victor's problem:

Victor had Php 10,000 and gave:
- Php 2,500 to his manager.
- Php 1,754.50 for dinner.
- Php 895.50 to his mother.
- Php 895.50 to his father.

Total spent: \(2,500 + 1,754.50 + 895.50 + 895.50 = 6,045.50\).

Remaining: \( 10,000 - 6,045.50 = 3,954.50 \).

### 26. What is the correct number sentence?

The correct sentence is:
\( 10,000 - (2,500 + 1,754.5 + (895.5 \times 2)) = N \).

Answer: **B.**

### 27. What is the answer?

After performing the calculations, Victor has **Php 3,954.50** left.

Answer: **A. Php 3,953.50**

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Let me know if you need further details on any question, and here are 5 additional questions to consider:

1. How would the incorrect answers change if John answered \( \frac{6}{8} \) correctly?
2. Can you derive an alternate way to solve Question 23 using different fraction methods?
3. How much pizza would be left if the second pizza had been cut into 4 slices instead of 6?
4. What would happen to the water tank in Question 24 if the leak caused \( \frac{1}{4} \) of the water to be lost?
5. In Question 25, how many slices would be left if there were 30 visitors?

**Tip:** Always convert fractions to the same denominator before adding or subtracting them to avoid confusion.

In a 40-item Mathematics summative test, John answered 7/8 of the items correctly. How many items did he answer incorrectly? Which procedures would you use to find the number of items that John answered incorrectly? A group of friends ordered two pizzas... how much pizza is left? Due to a leak, 1/6 of the water from the 3/4 full water tank was lost... Mother bought 3 cakes for Nikko's birthday... how much cake is left?

Solve a variety of fraction-based problems from a 40-item Mathematics summative test, pizza-sharing, water tank leakage, and cake division problems. Suitable for Grades 5-7.

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