Free UK CAA Part-66 Module 1 Mathematics — B1.1 Practice Questions

Sample Practice Questions

Try these 10 sample questions from the UK CAA Part-66 Module 1 Mathematics — B1.1 practice bank. Each includes the answer and explanation. Continue with the interactive practice above to review the full question set.

1. 1What is the product of 24 and 15?

   1. A.360Correct answer: A
   2. B.39
   3. C.120
   4. D.240

   Explanation: The handbook states: "Multiplication is the process of repeated addition." 24 × 15 = 360. 39 adds the factors; 120 includes only 24 × 5; 240 omits the five-units contribution.

   Reference: FAA Aviation Maintenance Technician Handbook—General — Mathematics in Aviation Maintenance > Multiplication of Whole Numbers

2. 2Evaluate 3a + 2b when a = −2 and b = 5.

   1. A.minus 16
   2. B.minus 4
   3. C.4Correct answer: C
   4. D.16

   Explanation: The source states: "Algebra is the branch of mathematics that uses letters or symbols to represent variables in formulas and equations." Substitute: 3(−2) + 2(5) = −6 + 10 = 4. 16 drops the negative sign; −16 makes both terms negative; −4 reverses the resulting sign.

   Reference: FAA Aviation Maintenance Technician Handbook—General — Mathematics in Aviation Maintenance > Algebra

3. 3When transferring a circle's radius with compasses, which quantity is copied directly as the compass opening?

   1. A.The angle between two reference lines
   2. B.The circumference of the new circle
   3. C.The number of line intersections
   4. D.The distance between two reference pointsCorrect answer: D

   Explanation: The source states: "You may construct a circle centered at any existing point having a radius equal to the distance between any two existing points." The reference distance sets the compass opening and hence radius. An angle, circumference and intersection count are different geometric quantities.

   Reference: Berkeley Math Circle: Classical Geometric Construction — The Official Rules, circle construction

4. 4What is the remainder when 157 is divided by 12?

   1. A.0
   2. B.1Correct answer: B
   3. C.12
   4. D.13

   Explanation: The handbook states: "The result is the quotient, and any amount left over is called the remainder." 157 = 12 × 13 + 1. 12 is the divisor, 13 the quotient, and 0 assumes exact division.

   Reference: FAA Aviation Maintenance Technician Handbook—General — Mathematics in Aviation Maintenance > Division of Whole Numbers

5. 5Combine like terms in 7x + 3y − 2x + y.

   1. A.9x plus 4y
   2. B.5x plus 2y
   3. C.9xy
   4. D.5x plus 4yCorrect answer: D

   Explanation: The source states: "Use the commutative property of addition to re-order so that like terms are together." x coefficients give 7−2=5 and y coefficients give 3+1=4. Other expressions add instead of subtract, lose a y, or combine unlike variables.

   Reference: OpenStax Elementary Algebra 2e — 1.9, Example 1.122

6. 6What is sufficient to locate a unique straight line in a plane?

   1. A.Two distinct pointsCorrect answer: A
   2. B.One point without a direction
   3. C.One circle without a marked point
   4. D.Two parallel lines without another constraint

   Explanation: The source states: "two different points be found on it" Two different points determine the line. A single point, an unmarked circle leave infinitely many possible lines; two parallel lines without an additional constraint also do not select one unique new line.

   Reference: Berkeley Math Circle: Classical Geometric Construction — The Official Rules, desired lines

7. 7What is 2/3 + 1/4 in lowest terms?

   1. A.3/12
   2. B.2/7
   3. C.11/12Correct answer: C
   4. D.3/7

   Explanation: The handbook states: "In order to add fractions, the denominators must be the same number." Use twelfths: 8/12 + 3/12 = 11/12. 3/7 adds denominators; 3/12 changes denominators without scaling numerators; 2/7 mixes numerator and denominator operations.

   Reference: FAA Aviation Maintenance Technician Handbook—General — Mathematics in Aviation Maintenance > Addition of Fractions

8. 8After distributing the factor four, which expression replaces 4(2x − 3)?

   1. A.8x minus 12Correct answer: A
   2. B.8x minus 3
   3. C.8x plus 12
   4. D.6x minus 12

   Explanation: The source states: "In algebra, we use the distributive property to remove parentheses as we simplify expressions." Distribute 4 to both terms: 8x−12. Other choices omit distribution to the constant, reverse its sign, or add rather than multiply the x coefficient.

   Reference: OpenStax Elementary Algebra 2e — 1.9, Distributive Property

9. 9A segment AB is 46 mm long. What must hold at its constructed midpoint M?

   1. A.AM = 11.5 mm and MB = 34.5 mm
   2. B.AM = MB = 23 mmCorrect answer: B
   3. C.AM = 46 mm and MB = 23 mm
   4. D.AM = MB = 46 mm

   Explanation: The source states: "divide that line into two equal segments." Bisection makes two equal parts, so each is 46/2=23 mm. The other partitions fail equality or fail the original total length.

   Reference: Berkeley Math Circle: Classical Geometric Construction — Example, bisection of a segment

10. 10What fraction remains after subtracting one quarter from five sixths?

    1. A.4/2
    2. B.4/12
    3. C.1/6
    4. D.7/12Correct answer: D

    Explanation: The handbook states: "To subtract fractions, they must have a common denominator." 5/6 − 1/4 = 10/12 − 3/12 = 7/12. 4/2 subtracts both parts; 4/12 fails to scale numerators; 1/6 subtracts numerators but multiplies denominators, giving 4/24.

    Reference: FAA Aviation Maintenance Technician Handbook—General — Mathematics in Aviation Maintenance > Subtraction of Fractions