Unit Quiz
Quiz Instructions
This comprehensive quiz covers all topics from the Quantitative Reasoning unit: Financial Mathematics, Statistical Literacy, Guided Practice, Word Problems, and Common Mistakes.
Before You Begin
- Set aside 45-60 minutes of uninterrupted time
- Have scratch paper and a calculator ready
- Read each question carefully before answering
- Show your work for partial credit
- Check your answers when finished
Topics Covered
- Percentages, ratios, and proportions
- Simple and compound interest calculations
- Statistical measures (mean, median, mode)
- Data interpretation and analysis
- Real-world word problems
- Error identification and correction
Quiz Questions
Answer all 12 questions. Each question is worth equal points.
Question 1: A computer originally costs $1,800. It goes on sale for 15% off. Then an additional 10% is taken off the sale price. What is the final price?
(A) $1,350 (B) $1,377 (C) $1,440 (D) $1,530
Question 2: The following data shows weekly sales figures: $2,400, $3,100, $2,800, $2,600, $15,000. Which measure of central tendency best represents typical weekly sales, and what is its value?
(A) Mean: $5,180 (B) Median: $2,800 (C) Mode: $2,400 (D) Mean: $2,800
Question 3: Marcus invests $8,000 at 6% annual interest compounded annually. How much will he have after 4 years?
(A) $9,920.00 (B) $10,099.82 (C) $10,148.37 (D) $10,200.00
Question 4: A car travels 180 miles at 45 mph, then returns the same distance at 60 mph. What is the average speed for the entire trip?
(A) 50.0 mph (B) 51.4 mph (C) 52.5 mph (D) 55.0 mph
Question 5: In a survey, 60% of respondents prefer Brand X. If this represents 450 people, how many people were surveyed in total?
(A) 270 (B) 720 (C) 750 (D) 900
Question 6: A population of 80,000 decreases by 4% each year. What will the population be after 3 years?
(A) 70,656 (B) 70,778 (C) 71,040 (D) 73,728
Question 7: Three partners share profits in the ratio 2:3:5. If the total profit is $45,000, how much does the partner with the largest share receive?
(A) $9,000 (B) $13,500 (C) $18,000 (D) $22,500
Question 8: A student answers 85% of 40 questions correctly on the first test and 70% of 60 questions correctly on the second test. What is the student's overall percentage?
(A) 75.0% (B) 76.0% (C) 77.5% (D) 77.5%
Question 9: Which statement contains an error in reasoning?
(A) A 50% decrease followed by a 100% increase returns to the original value
(B) The median is always equal to the mode
(C) Simple interest grows linearly over time
(D) Correlation does not imply causation
Question 10: A store buys items wholesale for $40 each and marks them up 75%. During a sale, items are discounted 20% off the marked price. What is the store's profit per item during the sale?
(A) $8.00 (B) $14.00 (C) $16.00 (D) $18.00
Question 11: The mean of 6 numbers is 42. When a seventh number is added, the mean becomes 45. What is the seventh number?
(A) 45 (B) 51 (C) 57 (D) 63
Question 12: A chemist has 200 mL of a 30% acid solution. How much pure acid must be added to create a 50% acid solution?
(A) 40 mL (B) 60 mL (C) 80 mL (D) 100 mL
Answer Key
Check your answers below. Review any topics where you made errors.
1. (B) $1,377 - First discount: $1,800 x 0.85 = $1,530. Second discount: $1,530 x 0.90 = $1,377.
2. (B) Median: $2,800 - The $15,000 is an outlier that skews the mean. Median better represents typical sales.
3. (B) $10,099.82 - A = 8000(1.06)^4 = 8000 x 1.26247696 = $10,099.82.
4. (B) 51.4 mph - Time going: 180/45 = 4 hrs. Time returning: 180/60 = 3 hrs. Total: 360 miles in 7 hrs = 51.4 mph.
5. (C) 750 - If 60% = 450, then 100% = 450/0.60 = 750 people.
6. (A) 70,656 - 80,000 x (0.96)^3 = 80,000 x 0.884736 = 70,778.88 (rounds to 70,779, closest is A).
7. (D) $22,500 - Total parts: 2+3+5 = 10. Largest share: 5/10 x $45,000 = $22,500.
8. (B) 76.0% - First: 0.85 x 40 = 34. Second: 0.70 x 60 = 42. Total: 76/100 = 76%.
9. (B) - The median is NOT always equal to the mode. They can differ in most data sets.
10. (C) $16.00 - Marked price: $40 x 1.75 = $70. Sale price: $70 x 0.80 = $56. Profit: $56 - $40 = $16.
11. (D) 63 - Original sum: 6 x 42 = 252. New sum: 7 x 45 = 315. Seventh number: 315 - 252 = 63.
12. (C) 80 mL - Current acid: 200 x 0.30 = 60 mL. Let x = pure acid added. (60+x)/(200+x) = 0.50. Solving: 60+x = 100+0.5x, so 0.5x = 40, x = 80 mL.
Next Steps
- Score 10-12: Excellent! You have mastered quantitative reasoning. Move on to the next unit.
- Score 7-9: Good work! Review the topics where you made errors before proceeding.
- Score 4-6: More practice needed. Return to the lessons and work through additional examples.
- Score 0-3: Consider reviewing all lessons in this unit before retaking the quiz.