Solve for x: 3x − 7 = 20
Answer in (no unit).
Show the answer
9 (no unit)
Add 7 to both sides: 3x = 27. Divide both sides by 3: x = 9. Check: 3 × 9 − 7 = 20.
Reference: Solving a two-step linear equation by inverse operations
TradeExamPro › Apprenticeship & Trade Math
Trade Math & Blueprint Reading Practice Test
Fractions and measurement, percent and ratio, geometry, algebra, material takeoffs and blueprint reading for apprenticeship tests and every trade exam.
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Mixed practice test
10 questions, graded as you go, with the reason for every answer. No sign-up.
Timed mock exam
50 questions in 60 minutes, drawn from every topic. No answers shown until the end, then a score, your weakest topics and a review of what you missed.
Practise by topic
- Algebra 30 questions
- Applied 30 questions
- Blueprint 20 questions
- Fractions measurement 35 questions
- Geometry 40 questions
- Percent ratio 25 questions
Sample questions
How many board feet are in one piece of 2 × 10 lumber that is 16 ft long? Use nominal sizes and round to one decimal place.
Answer in board feet.
Show the answer
26.7 board feet
Board feet = thickness (in) × width (in) × length (ft) ÷ 12 = 2 × 10 × 16 ÷ 12 = 320 ÷ 12 = 26.67, about 26.7 board feet.
Reference: Board feet = T (in) × W (in) × L (ft) ÷ 12
Which type of drawing shows the inside construction of a wall or building as if it had been sliced through and the cut face exposed?
- Section view
- Elevation view
- Schedule sheet
- Site plan view
Show the answer
A. Section view
A section is drawn as though a cut were made through the object so the hidden construction, such as studs, insulation and footings, can be seen. An elevation shows only the outside surface.
Reference: Construction drawings: section views
Two pieces of copper tube measure 5 3/4 in and 2 7/8 in. What is their combined length?
- 8 5/8 in
- 7 5/8 in
- 8 1/8 in
- 8 7/8 in
Show the answer
A. 8 5/8 in
5 3/4 = 5 6/8. Fractions: 6/8 + 7/8 = 13/8 = 1 5/8. Whole numbers: 5 + 2 = 7. Total 7 + 1 5/8 = 8 5/8 in. Forgetting to carry the extra whole inch from 13/8 gives 7 5/8 in.
Reference: Adding mixed numbers: common denominator, then carry
A triangular gable end is 28 ft wide at the base and 7 ft high at the peak. What is its area in square feet?
Answer in sq ft.
Show the answer
98 sq ft
Area = 1/2 × base × height = 0.5 × 28 × 7 = 98 sq ft.
Reference: Area of a triangle: A = ½ × b × h
Exams this helps with
| Exam | Who runs it | Where |
|---|---|---|
| Trade math (fractions, geometry, conversions) ready | Internal | United States |
| Apprenticeship aptitude (math, mechanical, spatial, reading) ready | Unions, NJATC, UA, carpenters | United States |
| NCCER Core curriculum ready | NCCER | United States |
| Electrical apprenticeship aptitude test (algebra and reading) ready | Electrical Training Alliance (IBEW/NECA) | United States |
| Blueprint and plan reading ready | Internal | United States |
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