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Sample Module 1 Mathematics Practice Questions

Try these sample questions to review concepts for the Module 1 Mathematics exam. 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.

Exam sponsor: UK Civil Aviation Authority (CAA). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

32 questions

Time Limit

40 minutes

Passing Score

75%

Exam / Certification Fees

£75

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

50%

Core Knowledge & Regulations

Fundamental principles, laws, and operating requirements.

50%

Applied Systems & Calculations

Practical application, calculations, and maintenance procedures.

Preparing for the Module 1 Mathematics Exam

What You Need to Know

  • Passing score: 75%
  • Exam length: 32 questions
  • Time limit: 40 minutes
  • Exam / certification fees: £75 Official sources

Using Our Practice Resources

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Module 1 Mathematics: Suggested Study Strategy

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%.