100+ Free Module 1 Mathematics Practice Questions

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Sample Module 1 Mathematics Practice Questions

Try these sample questions to test your Module 1 Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Simplify the fraction expression: 3/8 + 5/16 - 1/4.

A.7/16

B.9/16

C.1/2

D.3/16

Explanation: Convert all fractions to a common denominator of 16: 3/8 = 6/16 5/16 = 5/16 1/4 = 4/16 Calculation: (6/16) + (5/16) - (4/16) = (6 + 5 - 4)/16 = 7/16.

2Calculate (5/6) ÷ (2/3) and express the answer as a mixed number.

A.1 1/4

B.1 1/2

C.5/9

D.1 1/3

Explanation: To divide fractions, multiply by the reciprocal of the divisor: (5/6) ÷ (2/3) = (5/6) * (3/2) = (5 * 3) / (6 * 2) = 15/12. Simplifying 15/12 gives 5/4 = 1 1/4.

3Evaluate 2 3/4 + 1 5/8 and express as a mixed number.

A.4 3/8

B.3 7/8

C.4 1/8

D.4 1/2

Explanation: Convert mixed numbers to improper fractions or add whole numbers and fractional parts: Whole numbers: 2 + 1 = 3. Fractions: 3/4 + 5/8 = 6/8 + 5/8 = 11/8 = 1 3/8. Total: 3 + 1 3/8 = 4 3/8.

4Convert the fraction 7/32 into a decimal.

A.0.21875

B.0.22500

C.0.203125

D.0.234375

Explanation: Divide 7 by 32 long division: 7 ÷ 32 = 0.21875 exactly.

5Convert the recurring decimal 0.3636... (0.36 recurring) to its simplest fractional form.

A.4/11

B.9/25

C.18/50

D.3/8

Explanation: Let x = 0.3636... Then 100x = 36.3636... Subtracting x from 100x gives 99x = 36. So x = 36/99. Dividing numerator and denominator by 9 gives 4/11.

6An aircraft engine thrust is increased from 24,000 lbf to 27,600 lbf. What is the percentage increase in thrust?

A.15%

B.13.04%

C.12%

D.18%

Explanation: Percentage Increase = [(New Thrust - Original Thrust) / Original Thrust] * 100% Increase = 27,600 - 24,000 = 3,600 lbf. Percentage Increase = (3,600 / 24,000) * 100% = 0.15 * 100% = 15%.

7During a flight segment, an aircraft's fuel weight decreases from 8,500 kg to 6,970 kg. Calculate the percentage decrease in fuel.

A.18%

B.22%

C.15.65%

D.20%

Explanation: Fuel decrease = 8,500 kg - 6,970 kg = 1,530 kg. Percentage Decrease = (1,530 / 8,500) * 100% = 0.18 * 100% = 18%.

8A technician measures a component dimension as 14.85 mm. If the true standard dimension is 15.00 mm, what is the percentage error of the measurement?

A.1.00%

B.0.15%

C.1.01%

D.1.50%

Explanation: Absolute Error = |14.85 - 15.00| = 0.15 mm. Percentage Error = (Absolute Error / True Value) * 100% Percentage Error = (0.15 / 15.00) * 100% = 0.01 * 100% = 1.00%.

9A total quantity of 1,200 liters of hydraulic fluid is divided among three tanks in the ratio 3:5:4. How many liters are placed in each tank respectively?

A.300 L, 500 L, 400 L

B.360 L, 480 L, 360 L

C.250 L, 550 L, 400 L

D.300 L, 450 L, 450 L

Explanation: Total ratio parts = 3 + 5 + 4 = 12 parts. Value of 1 part = 1,200 / 12 = 100 L. Tank 1 = 3 * 100 = 300 L. Tank 2 = 5 * 100 = 500 L. Tank 3 = 4 * 100 = 400 L.

10Gear A has 24 teeth and drives Gear B which has 72 teeth. If Gear A rotates at 1,800 RPM, what is the rotational speed of Gear B?

A.600 RPM

B.5,400 RPM

C.900 RPM

D.1,200 RPM

Explanation: Gear ratio is inversely proportional to rotational speed: Speed_B = Speed_A * (Teeth_A / Teeth_B) Speed_B = 1,800 * (24 / 72) = 1,800 * (1/3) = 600 RPM.

About the Module 1 Mathematics Exam

UK CAA Part-66 Module 1 covers arithmetic, algebra, and geometry for aircraft maintenance engineer candidates. Exam includes 32 MCQs with a 75% pass mark.

Questions

32 scored questions

Time Limit

40 minutes

Passing Score

75%

Exam Fee

£75 (UK Civil Aviation Authority (CAA))

Module 1 Mathematics Exam Content Outline

50%

Core Knowledge & Regulations

Fundamental principles, laws, and operating requirements.

50%

Applied Systems & Calculations

Practical application, calculations, and maintenance procedures.

How to Pass the Module 1 Mathematics Exam

What You Need to Know

Passing score: 75%
Exam length: 32 questions
Time limit: 40 minutes
Exam fee: £75

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

Module 1 Mathematics Study Tips from Top Performers

1Review official CAA syllabus and learning objectives.

2Practise worked calculations and formula applications.

Frequently Asked Questions

What is the pass mark for Module 1 Mathematics?

The pass mark required by the UK CAA is 75%.