https://file.aiquickdraw.com/mathbot/file/1729535527202oi15oxin.jpg

A candidate is taking a test with 60 multiple choice questions    

The problem shown in the image is asking what percentage of the remaining questions the candidate must answer correctly in order to achieve a 70% success rate on a test with 60 multiple-choice questions.

### Problem breakdown:

1. **Total number of questions**: 60
2. **First 20 questions attempted**:
   - Candidate answered 60% correctly.
   - 60% of 20 is \( 0.6 \times 20 = 12 \) questions correct.
   - Therefore, the candidate answered **12 out of 20** questions correctly.

3. **Remaining questions**: \( 60 - 20 = 40 \)

4. **Target score**: 
   - To achieve a 70% rate, the candidate must answer \( 0.7 \times 60 = 42 \) questions correctly overall.
   - The candidate has already answered **12 questions correctly**, so they need \( 42 - 12 = 30 \) more correct answers.

### Calculation:
- The candidate must answer **30 out of the 40 remaining questions** correctly.
- Therefore, the percentage of remaining questions that need to be answered correctly is:
  \[
  \frac{30}{40} \times 100 = 75\%
  \]

### Answer:
The candidate needs to answer **75%** of the remaining questions correctly to achieve a 70% overall score on the test.

---

Would you like further clarification on any part of this explanation?

### Related Questions:
1. How do you calculate percentages of a total?
2. What is the formula for finding the required score to meet a target percentage?
3. How can understanding percentage distribution help in exams?
4. What strategies can help improve accuracy in multiple-choice tests?
5. How do weighted averages affect overall scores?

**Tip:** When calculating percentages, always ensure you're working with the correct total amount. In this case, the candidate's final percentage depends on all 60 questions, not just those answered so far!

A candidate is taking a test with 60 multiple choice questions and answered 60% of the first 20 questions correctly. What percent of the remaining questions does the candidate need to answer correctly to get a 70% rate on the test?

Learn how to calculate the percentage of remaining questions a candidate needs to answer correctly to achieve 70% on a test with 60 questions. The problem involves understanding percentages and algebraic calculations, perfect for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation