Math Review for Electrician Apprentices

Sep 23, 2026

Uploaded by Mabel

Math Review for Electrician Apprentices provides a structured self-assessment covering core applied math skills needed during technical apprenticeship training. The set includes practice questions on addition, subtraction, multiplication and division, decimals, percentages, algebraic calculation and simplification, geometry with area and volume conversions, ratio and proportion, general formulas, and trigonometry applications. Answer keys are included for verification, supporting independent study before school to reduce gaps and improve readiness for coursework.

LanguageEnglish

CategoryExam

FormatPDF

Pages7

Reading Time18 min

AccessFree to download

Addition

Subtraction

Multiplication and Division

Decimals

Percentage

Algebra

Geometry, Area & Volume

Ratio & Proportion

General Formulas

Trigonometry

Math Review for Electrician Apprentices The following questions are for you to self-assess your current knowledge of math, to inform you whether you are prepared for the types of questions you will be required to complete as part of your apprenticeship technical training. Use these questions as a self-test by completing the questions on your own, without looking at the answers provided. If you cannot answer all the questions below, you should seek assistance prior to coming to your technical training session. While additional help is available while you are in school, it will be to your benefit to undertake this study prior to schooling, especially as you will find the workload will be quite heavy as it is. The intention is to ensure you understand how to apply these types of questions. 1. Addition a) 2.027 + 16.6 +153 = b) 326.008 + 13 3/8 + 4 1/4 = c) 5/8 + 3/4 + 13/16 = d) 14 3/10 + 8 7/15 + 6 9/20 + 2 17/30 = 2. Subtraction a) 523-34.08 = b) 0.065-0.0007 = c) 1/3 – ¼ = 3. Multiplication and Division a) 99 X 8 = b) 807 X 12.2 = c) 10.08 x 6 2/5 = d) 24 􀁹 5 = e) 192.8 􀁹 12.05 = f) 10212 􀁹 222 = g) Divide 12 ¾ by 8 = h) (2 x 5/6) x (6 􀁹 7/10) = 4. Decimals a) Express 1/8 as a decimal b) Express 60% as a decimal c) Express 1 5/8 as a decimal d) Express 900 / 320 in its lowest terms e) What is the lowest common denominator of the fractions ¼, 1/5, & 1/6 ? f) 1/3 + ¼ = g) 31/5 + 11/3 = h) Change 3.4 into a fraction 5. Percentage a) What is 4.5% of 1200 b) What percentage of 80 is 16 c) Express 60% as a fraction d) Express 152.6 as a percentage. 6. Algebra a) Ifa= 2, b= 6, c= 4, x = 3 and y = ½ calculate the following: i) 2by = ii) 2a(cy + bc) = iii) a² -y²= iv) 8ac + 5 ax = b) Simplify these terms i) a + (b + a) = ii) 5a –(a – b) = iii) 8ab –(2ab – 2a²) = c) Solve for x i) 5x + 10 + 4x = ii) ax + b = cx + d X= iii) E = IR I = R = d) How many 2 ½” lengths of rod can be cut from a length that is 31” long, assuming there is no waste from cutting? 7. Geometry, Area & Volume a) What is the area of a room that is 5 m wide and 8 m long? b) What is the area of the end ofa 2” diameter shaft? c) If the diameter of a circle is 102 cm, what is the radius? d) If the radius of a circle is 27 cm what is the diameter? e) If the circumference of a circle is 88 cm what is its diameter? f) What is the volume of a box that measures 2.5 m wide x 2.75 m long x 1.2 m high? g) A concrete machine base measures 6 m x 8.5m x 0.6m. What is the volume of concrete in the base? h) If one cubic foot equals 6.23 gallons, how many gallons will be held in a tank of 26 2/3 cubic foot capacity? i) What is the inside diameter of a pipe that has a wall thickness of 3/16” and an outside diameter of 2’? j) What is the circumference of a 12 foot diameter tank? (Round to 2 decimal places.) 8. Ratio & Proportion a) It costs $120 for 10 feet of 4 inch conduit. What will it cost for 50 feet of 4 inch conduit? b) An electric drill has a chuck attachment to obtain a slower speed. If the attachment has a ratio of 4:1, find the resulting speed if the drill normally turns at 3600 RPM. c) If 4 electricians can complete a job in 8 hours how long will it take 3 electricians to complete the same job? d) A 250 foot run of steel EMT conduit expands at a rate of 1.12 x 10-5 per ˚C-ft. What is the new length of the conduit run if the temperature rises by 26˚C? 9. General Formulas Solve for the indicated variable: XL 􀀠 2􀁓fL, L 􀀠 E N N 􀀠 S p N 􀀠 S , p X 10. Trigonometry a) A right angle triangle has one sides of the following lengths: a= 25, b=15, Find the length of the hypotenuse. b) A tree casts a shadow that is 57 feet long and the angle from the tip of the shadow to the top of the tree is 27˚ . How tall is the tree? c) An elevated loading platform has an

FAQs

What topics are covered in the math self-test for electrician apprentices?

The document covers addition, subtraction, multiplication and division, decimals, percentages, algebra, geometry (area and volume), ratio and proportion, general formulas, and trigonometry.

Are the questions meant to be completed without looking at answers?

Yes. It instructs readers to self-assess by completing the questions on their own without looking at the provided answers, and to seek help if they cannot answer all questions.

Is there an answers section for checking results?

Yes. “Answers to Math Review” lists the computed results for the questions so learners can verify their work.

Sep 23, 2026

Uploaded by Mabel

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