Trade Mathematics Course 2026
This course is for apprentices, trades helpers and anyone preparing for trade school or a trades exam. Six lessons cover fractions and the tape measure, conversions and scale drawings, area and volume, ratios and percentages, right triangles and trigonometry, and estimating materials and costs, with worked examples from construction, electrical, plumbing, carpentry and welding. Each lesson has an untimed topic quiz, and a timed final assessment unlocks a Certificate of Completion when you score 80% or more.
快速解答
这门免费课程包括约240分钟的课程、6个不限时的专题测验(共90道题),以及一次随机抽取35道题的限时期末评估。期末评估得分达到80%或以上即可下载结业证书(私人颁发,未经认证)。 已于2026年10月13日根据官方资料核对。
你将学到什么
- Read imperial and metric tapes and work with fractions of an inch
- Convert between imperial and metric units, including areas and volumes
- Read real lengths from metric and imperial scale drawings
- Calculate perimeter, area and volume for rooms, slabs, footings, tanks and pipes
- Use ratios, percentages, slope and roof pitch on the job
- Use the Pythagorean theorem and basic trigonometry for layout, rafters and offsets
- Estimate material quantities and build a job price with labour and GST
得分达到80%或以上即可下载证书。
你的学习计划
阅读每一课,完成对应的专题测验(不限时,有解释),然后参加限时的期末评估。每次都会抽取新的题目组合。你的进度保存在此浏览器中。
- 阅读课程6课,约240分钟
- 专题测验1:Fractions, decimals and the tape measure15道题
- 专题测验2:Measurement, conversions and scale drawings15道题
- 专题测验3:Perimeter, area and volume15道题
- 专题测验4:Ratios, proportions and percentages15道题
- 专题测验5:Angles, right triangles and trigonometry15道题
- 专题测验6:Estimating materials and costs15道题
- 结业考试35道题,35分钟 · 得分达到80%或以上
专题测验1:Fractions, decimals and the tape measure
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第1题,共15题
显示答案
答案: B. 12
3/4 = 12/16, because you multiply the top and bottom by 4. So 3/4 in is 12 sixteenth marks.
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第2题,共15题
显示答案
答案: C. 5/8 in
Divide the top and the bottom by the same number. 10 ÷ 2 = 5 and 16 ÷ 2 = 8, so 10/16 = 5/8.
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第3题,共15题
显示答案
答案: B. 0.875 in
Divide the top by the bottom: 7 ÷ 8 = 0.875. (0.625 is 5/8 and 0.75 is 3/4.)
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第4题,共15题
显示答案
答案: D. 4 1/8 in
Change 3/4 to 6/8, then add: 3/8 + 6/8 = 9/8 = 1 1/8. Add the whole numbers (2 + 1 = 3) and the carried 1 to get 4 1/8 in.
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第5题,共15题
显示答案
答案: D. 60 3/8 in
Borrow 1 inch: 96 = 95 8/8. Then 95 8/8 − 35 5/8 = 60 3/8 in.
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第6题,共15题
显示答案
答案: C. 73 1/2 in
Pieces: 4 × 18 1/4 = 73 in. Kerf: 4 × 1/8 = 1/2 in. Total 73 + 1/2 = 73 1/2 in.
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第7题,共15题
显示答案
答案: D. 9 3/4 in
Change 1 5/8 to an improper fraction: 13/8. Then 6 × 13/8 = 78/8 = 9 6/8 = 9 3/4 in.
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第8题,共15题
显示答案
答案: B. 14 3/8 in
72 ÷ 5 = 14.4 in. 0.4 × 16 = 6.4 sixteenths, which rounds to 6/16 = 3/8. So each space is about 14 3/8 in.
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第9题,共15题
显示答案
答案: D. 12 ft 9 in
Only the decimal part changes: 0.75 ft × 12 = 9 in. So 12.75 ft = 12 ft 9 in, not 12 ft 7.5 in.
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第10题,共15题
显示答案
答案: D. 1.047 m
4 cm = 0.04 m and 7 mm = 0.007 m. 1 + 0.04 + 0.007 = 1.047 m.
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第11题,共15题
显示答案
答案: B. 2 5/16 in
Each small mark is 1/16 in, so 5 marks = 5/16 in. The length is 2 5/16 in.
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第12题,共15题
显示答案
答案: D. 2.61 m
Put everything in metres first: 760 mm = 0.76 m. Then 1.25 + 0.76 + 0.6 = 2.61 m.
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第13题,共15题
显示答案
答案: B. 5/16 in
Multiply by 16: 0.3125 × 16 = 5. So 0.3125 in = 5/16 in.
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第14题,共15题
显示答案
答案: B. 5/8 in
Change each to a decimal: 5/8 = 0.625, 19/32 = 0.594, 0.6 and 9/16 = 0.5625. 0.625 is the largest.
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第15题,共15题
显示答案
答案: B. 23 11/16 in
Half of 47 is 23 1/2 = 23 8/16, and half of 3/8 (6/16) is 3/16. 23 8/16 + 3/16 = 23 11/16 in.
键盘:按1–4作答,按 Enter 进入下一题。
考前须知
- The Government of Canada's Skills for Success model defines numeracy as the ability to find, understand, use and report mathematical information in words, numbers, symbols and graphics.
- Numeracy is one of nine Skills for Success. The model describes five numeracy proficiency levels; at the highest level, tasks have several steps and numbers may need to be derived or estimated.
- Under the Weights and Measures Act, all units of measurement used in Canada are based on the International System of Units (SI).
- The Act defines the yard as exactly 0.9144 metre and the inch as 1/36 of a yard, so 1 inch is exactly 25.4 mm.
- The Act defines the Canadian gallon as 0.00454609 cubic metre (4.54609 L) and the pound as 0.45359237 kilogram.
- Red Seal exam questions are multiple choice with four choices and one correct answer, and the pass mark is 70%.
- The Red Seal exam guide advises candidates to know the math concepts used in their trade and to estimate the answer to a calculation question first.
- The Canada Revenue Agency lists the GST rate in Alberta as 5%, with no provincial sales tax.
常见问题
What is the Certificate of Completion, and what is it not?
It shows that you finished this course and scored at least 80% on the final assessment. It is not an accredited qualification, a Red Seal or apprenticeship credential, or a government, employer or vendor certification.
Will this course prepare me for the Red Seal exam?
It practises the general math that many trades use, which can help. The Red Seal exam also tests the full knowledge of your trade, so study your trade's occupational standard and official Red Seal preparation materials too.
Does the course use metric or imperial units?
Both, because Canadian job sites use both. Lesson 2 shows how to convert between them using the exact definitions in the Weights and Measures Act.
Can I use a calculator?
Yes. Most questions are easier with a calculator, and the trigonometry questions need one set to degrees. Estimate the answer first so you can spot a slip.
How does the final assessment work?
It has 35 questions drawn at random from the course question bank, with a 35-minute time limit. You need 80% to pass, and each attempt gives a new mix of questions.
这份证书是否经过认证或获得官方认可?
不是。这是一份私人颁发的结业证书,仅用于知识学习。它未获得任何政府、执照发放机构、监管机构或教育机构的认可、认证或批准,也不能替代法律要求的任何执照、资格证书或培训。
资料来源
- Government of Canada: Skills for Success – skills, components and proficiency levels
- Government of Canada: Skills for Success – understanding the skills (numeracy)
- Red Seal Program: Exam overview and preparation
- Weights and Measures Act, section 4 (units of measurement)
- Weights and Measures Act, Schedule I (SI units and prefixes)
- Weights and Measures Act, Schedule II (Canadian units)
- Canada Revenue Agency: GST/HST rates by province