GMAT Module 1 Capstone: Timed Practice Assessment

📘 GMAT Module 1 Capstone: Timed Practice Assessment

🎯 Learning Objective

Demonstrate mastery of all Module 1 fundamentals under authentic GMAT timing conditions, building test-day confidence and identifying areas for continued focus.

📋 Pre-Assessment Setup

🕐 Timing Protocol

  • Total Time: 18 minutes (realistic GMAT pace)
  • Per Question: ~1.8 minutes average
  • Strategy: Aim for 1-1.5 min on easier questions, allowing 2-2.5 min for complex ones

📝 Materials Needed

  • Scratch paper and pencil
  • Timer or stopwatch
  • Calculator (use judiciously – practice mental math when possible)

🧠 Mindset Preparation

  • Simulate test conditions: No interruptions
  • Read carefully: GMAT rewards precision over speed
  • Trust your preparation: You’ve learned the fundamentals
⏱️ **START TIMER NOW – 18 MINUTES**

Question 1

What is the value of 6 + 12 ÷ 3 × 2?

  • (A) 2
  • (B) 10
  • (C) 14
  • (D) 16
  • (E) 18

Question 2

A number is divisible by both 3 and 4. Which of the following must it also be divisible by?

  • (A) 6
  • (B) 9
  • (C) 8
  • (D) 12
  • (E) 18

Question 3

If x2 = 49, what is the value of |x|?

  • (A) -7
  • (B) 0
  • (C) 7
  • (D) 14
  • (E) Cannot be determined

Question 4

A store discounts a $250 item by 18%. What is the final price?

  • (A) $210
  • (B) $205
  • (C) $215
  • (D) $195
  • (E) $225

Question 5

Which of the following is the greatest?

  • (A) 3/5
  • (B) 0.6
  • (C) 62%
  • (D) 5/8
  • (E) 7/12

Question 6

If x = -3, what is the value of x2 + |x|?

  • (A) 6
  • (B) 9
  • (C) 12
  • (D) 3
  • (E) 0

Question 7

If x is 40% of y, what is x/y?

  • (A) 0.4
  • (B) 0.25
  • (C) 2.5
  • (D) 4
  • (E) Cannot be determined

Question 8

Simplify: 2/5 + 3/10

  • (A) 1/2
  • (B) 3/5
  • (C) 7/10
  • (D) 5/10
  • (E) 4/5

Question 9

A number plus 6 is equal to twice that number. What is the number?

  • (A) 4
  • (B) 5
  • (C) 6
  • (D) 7
  • (E) 8

Question 10

Which of the following is not a prime number?

  • (A) 2
  • (B) 3
  • (C) 9
  • (D) 13
  • (E) 17
⏹️ **STOP – TIME’S UP!**

📊 Scoring & Analysis

✅ Answer Key

Question Answer Key Concept Tested
1(C) 14Order of Operations
2(D) 12LCM/Divisibility
3(C) 7Absolute Value
4(B) $205Percentage Calculations
5(D) 5/8Comparing Numbers
6(C) 12Exponents & Absolute Value
7(A) 0.4Percentage to Ratio
8(C) 7/10Fraction Addition
9(C) 6Basic Algebra
10(C) 9Prime Numbers

🎯 Performance Metrics

Score Interpretation:

  • 9-10 correct: Excellent mastery – ready for advanced concepts
  • 7-8 correct: Strong foundation – review missed concepts
  • 5-6 correct: Good progress – focus on weak areas before advancing
  • Below 5: Revisit Module 1 lessons before continuing

🔍 Detailed Solutions & Strategies

Question 1: Order of Operations

Problem: 6 + 12 ÷ 3 × 2

GMAT Strategy: Apply PEMDAS strictly – multiplication and division left to right

Solution:

  1. Division first: 12 ÷ 3 = 4
  2. Then multiplication: 4 × 2 = 8
  3. Finally addition: 6 + 8 = 14

Answer: (C) 14

Time-Saving Tip: Recognize this tests left-to-right rule for equal operations.

Question 2: LCM and Divisibility

Problem: A number divisible by both 3 and 4 must also be divisible by…

GMAT Strategy: Find LCM when dealing with “both” conditions.

Solution:

  • If divisible by both 3 and 4, must be divisible by LCM(3,4).
  • Since 3 and 4 are coprime: LCM(3,4) = 3 × 4 = 12.
  • Any multiple of 12 is automatically divisible by 12.

Answer: (D) 12

Common Trap: Don’t assume it’s just 6 (which would only require divisibility by 3, not necessarily 4).

Question 3: Absolute Value

Problem: If x2 = 49, find |x|

GMAT Strategy: Remember absolute value is always non-negative.

Solution:

  • x2 = 49 means x = ±7.
  • Whether x = 7 or x = -7, we have |x| = 7.

Answer: (C) 7

Key Insight: Absolute value eliminates the ambiguity of positive/negative solutions.

Question 4: Percentage Calculation

Problem: $250 item discounted by 18%

GMAT Strategy: Use the complement method for efficiency.

Method 1 (Direct):

  • Discount = $250 × 0.18 = $45
  • Final price = $250 - $45 = $205

Method 2 (Complement – Faster):

  • Final price = $250 × (1 - 0.18) = $250 × 0.82 = $205

Answer: (B) $205

Question 5: Comparing Numbers

Problem: Find the greatest among mixed number formats

GMAT Strategy: Convert everything to decimals for easy comparison.

Conversions:

  • (A) 3/5 = 0.6
  • (B) 0.6
  • (C) 62% = 0.62
  • (D) 5/8 = 0.625
  • (E) 7/12 ≈ 0.583

Answer: (D) 5/8 = 0.625

Pro Tip: Memorize common fraction-decimal conversions for speed.

Question 6: Combined Operations

Problem: If x = -3, find x2 + |x|

GMAT Strategy: Handle each operation separately, then combine.

Solution:

  • x2 = (-3)2 = 9
  • |x| = |-3| = 3
  • x2 + |x| = 9 + 3 = 12

Answer: (C) 12

Watch Out: Don’t confuse (-3)2 = 9 with -32 = -9.

Question 7: Percentage to Ratio

Problem: If x is 40% of y, find x/y

GMAT Strategy: Translate percentage relationships directly.

Solution:

  • “x is 40% of y” means x = 0.4y.
  • Therefore: x/y = (0.4y)/y = 0.4

Answer: (A) 0.4

Key Pattern: “A is P% of B” always gives A/B = P/100.

Question 8: Fraction Addition

Problem: 2/5 + 3/10

GMAT Strategy: Find common denominator efficiently.

Solution:

  • Common denominator: LCM(5,10) = 10.
  • 2/5 = 4/10
  • 4/10 + 3/10 = 7/10

Answer: (C) 7/10

Speed Tip: When one denominator is a multiple of another, use the larger as common denominator.

Question 9: Basic Algebra

Problem: A number plus 6 equals twice that number

GMAT Strategy: Translate words to equations systematically.

Translation:

  • “A number” = x
  • “plus 6” = + 6
  • “equals twice that number” = = 2x
  • Equation: x + 6 = 2x

Solution:

  • x + 6 = 2x
  • 6 = 2x - x
  • 6 = x

Answer: (C) 6

Question 10: Prime Numbers

Problem: Identify the non-prime number

GMAT Strategy: Test divisibility systematically.

Analysis:

  • (A) 2: Prime (only even prime)
  • (B) 3: Prime
  • (C) 9: 9 = 3 × 3 → Not prime
  • (D) 13: Prime
  • (E) 17: Prime

Answer: (C) 9

Memory Aid: Perfect squares > 1 are never prime.

📈 Performance Analysis & Next Steps

🎯 Concept Mastery Check

Mark your performance in each area:

Module 1 Concept Questions My Score Status
Order of OperationsQ1, Q6___/2⬜ Mastered ⬜ Review Needed
Number PropertiesQ2, Q10___/2⬜ Mastered ⬜ Review Needed
Absolute ValueQ3, Q6___/2⬜ Mastered ⬜ Review Needed
PercentagesQ4, Q7___/2⬜ Mastered ⬜ Review Needed
Fractions/DecimalsQ5, Q8___/2⬜ Mastered ⬜ Review Needed
Basic AlgebraQ9___/1⬜ Mastered ⬜ Review Needed

🚀 Action Plan Based on Results

If you scored 9-10:

  • Congratulations! You’ve mastered Module 1 fundamentals.
  • Move confidently to Module 2.
  • Continue practicing under timed conditions.

If you scored 7-8:

  • Strong foundation with minor gaps.
  • Review specific missed concepts using detailed solutions above.
  • Practice 2-3 similar problems for each missed concept.
  • Retake this assessment in 2-3 days.

If you scored 5-6:

  • Good progress, but need focused review.
  • Revisit lessons for concepts you missed.
  • Practice untimed first, then return to timed practice.
  • Don’t advance until you can score 8+ consistently.

If you scored below 5:

  • Foundation needs strengthening before advancing.
  • Revisit ALL Module 1 lessons systematically.
  • Focus on understanding concepts, not just procedures.
  • Consider additional practice resources.

⚡ Speed & Strategy Insights

Time Management Analysis:

  • Under 15 minutes total: Great pace, but check accuracy.
  • 15-18 minutes: Optimal GMAT timing.
  • Over 18 minutes: Focus on efficiency and pattern recognition.

Common Time Wasters:

  • Overcomplicating simple problems (Q1, Q9)
  • Not converting to same format quickly (Q5)
  • Recalculating instead of using shortcuts (Q4)

🏆 Module 1 Completion Certificate

Congratulations on completing GMAT Quantitative Module 1!

You have successfully demonstrated competency in:

  • ✅ Order of Operations (PEMDAS)
  • ✅ Number Properties & Divisibility
  • ✅ Absolute Value & Exponents
  • ✅ Percentage Calculations
  • ✅ Fraction & Decimal Operations
  • ✅ Basic Algebraic Translation

Remember: The GMAT rewards consistent application of fundamentals. These concepts will appear throughout your preparation – master them now for success later!

📚 Quick Reference Summary

Key Formulas to Remember:

  • PEMDAS: Parentheses → Exponents → M/D (left-right) → A/S (left-right)
  • Percentage: Part = Percent × Whole
  • LCM Rule: If divisible by A and B, then divisible by LCM(A,B)
  • Absolute Value: |x| ≥ 0 always

Strategic Approaches:

  • Read carefully – GMAT tests precision
  • Convert to common formats for comparisons
  • Use complement method for discounts
  • Translate systematically for word problems
  • Check reasonableness of final answers

Time-Saving Tips:

  • Memorize common fraction-decimal conversions
  • Use mental math for simple calculations
  • Apply shortcuts like complement method
  • Don’t over-calculate when estimation suffices