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Welding Math Practice Test With Worked Answers

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A root opening of 1/8 inch sits between plates that are 6 1/4 and 4 1/2 inches wide. How wide is the assembly?

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Unofficial practice questions, not affiliated with any welding certifier, school or employer. Bank checked October 4, 2026.

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All 84 questions with answers

Adding and subtracting inch fractions 14

  • A base plate 3/4 inch thick carries a 5/16 inch shim. What is the height of the stack? Answer: 1 1/16 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A bracket is laid out with a 2 1/2 inch leg and a 1 3/4 inch leg end to end. What is the total length? Answer: 4 1/4 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A flat bar is 12 inches long. A piece 3 5/8 inches long is marked off one end. How long is the rest? Answer: 8 3/8 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A pipe is 4 1/2 inches across the outside. The wall takes up 1/4 inch on one side and 1/4 inch on the other. What is the inside diameter? Answer: 4 inches. Source: Own question; the answer is in the question itself and is worked out again
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Adding and subtracting inch fractions, continued

  • A plate 7/8 inch thick is ground down by 1/16 inch. How thick is it now? Answer: 13/16 inch. Source: Own question; the answer is in the question itself and is worked out again
  • A plate is 5 1/2 inches wide. A hole is centered 2 3/16 inches from one edge. How far is the hole's center from the opposite edge? Answer: 3 5/16 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A root opening of 1/8 inch sits between plates that are 6 1/4 and 4 1/2 inches wide. How wide is the assembly? Answer: 10 7/8 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A tack weld sits 4 3/8 inches along a seam and the next one is another 4 3/8 inches on. How far from the start is the second tack? Answer: 8 3/4 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A weld builds a joint up to 1 1/8 inches. The drawing calls for 15/16 inch. How much must be ground off? Answer: 3/16 inch. Source: Own question; the answer is in the question itself and is worked out again
  • An opening measures 9 3/4 inches and the part to fit it is 9 5/16 inches. What gap is left? Answer: 7/16 inch. Source: Own question; the answer is in the question itself and is worked out again
  • From a 10 1/4 inch strip, pieces of 3 1/2 and 2 3/8 inches are marked off. Leaving the cuts out of it, what length remains? Answer: 4 3/8 inches. Source: Own question; the answer is in the question itself and is worked out again
  • One spacer is 3/8 inch thick and another is 1/4 inch thick. Stacked, how thick are they? Answer: 5/8 inch. Source: Own question; the answer is in the question itself and is worked out again
  • Pipe pieces of 7 5/16, 2 7/8 and 1 1/4 inches are fitted in a line. What is the overall length? Answer: 11 7/16 inches. Source: Own question; the answer is in the question itself and is worked out again
  • Three lengths of flat bar measure 5 1/8, 3 3/4 and 2 1/2 inches. What do they total? Answer: 11 3/8 inches. Source: Own question; the answer is in the question itself and is worked out again

Fractions, decimals and millimeters 14

  • A bar is 1 1/2 inches wide. At 25.4 millimeters to the inch, how wide is it in millimeters? Answer: 38.1 millimeters. Source: Own question; the answer is in the question itself and is worked out again
  • A bolt is 19.05 millimeters across. At 25.4 millimeters to the inch, what is that in inches? Answer: 0.75 inch. Source: Own question; the answer is in the question itself and is worked out again
  • A dimension is given as 0.3125 inch. What is it as a fraction? Answer: 5/16 inch. Source: Own question; the answer is in the question itself and is worked out again
  • A drawing gives a plate thickness of 5/8 inch. What is that as a decimal? Answer: 0.625 inch. Source: Own question; the answer is in the question itself and is worked out again
  • A fillet weld leg is 3/16 inch. What is that as a decimal of an inch? Answer: 0.1875 inch. Source: Own question; the answer is in the question itself and is worked out again
  • A gauge reads 7/8 inch. Written as a decimal, what is the reading? Answer: 0.875 inch. Source: Own question; the answer is in the question itself and is worked out again
  • A metric plate is 50.8 millimeters wide. At 25.4 millimeters to the inch, how wide is it in inches? Answer: 2 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A micrometer shows a shim at 0.375 inch. Which fraction of an inch is that? Answer: 3/8 inch. Source: Own question; the answer is in the question itself and is worked out again
  • A part measures 1.25 inches. What is that as a mixed number? Answer: 1 1/4 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A pipe is 2 inches across. At 25.4 millimeters to the inch, what is that in millimeters? Answer: 50.8 millimeters. Source: Own question; the answer is in the question itself and is worked out again
  • A plate is 1/4 inch thick. At 25.4 millimeters to the inch, how thick is it in millimeters? Answer: 6.35 millimeters. Source: Own question; the answer is in the question itself and is worked out again
  • A rod is 2 3/4 inches long. What is that length as a decimal? Answer: 2.75 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A tube is 127 millimeters long. At 25.4 millimeters to the inch, how long is it in inches? Answer: 5 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A weld is 12 inches long. At 25.4 millimeters to the inch, how long is it in millimeters? Answer: 304.8 millimeters. Source: Own question; the answer is in the question itself and is worked out again

Perimeter, area and volume 14

  • A circular blank is 8 inches in diameter, so its radius is half that. Using 3.14 for pi, what is its area? Answer: 50.24 square inches. Source: Own question; the answer is in the question itself and is worked out again
  • A floor plate is 8 feet long and 4 feet wide. How many square feet is it? Answer: 32 square feet. Source: Own question; the answer is in the question itself and is worked out again
  • A patch 6.5 inches by 4 inches covers a hole. What is the area of the patch? Answer: 26 square inches. Source: Own question; the answer is in the question itself and is worked out again
  • A pipe is 10 inches in diameter. Using 3.14 for pi, what is the distance around it? Answer: 31.4 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A plate is 24 inches long and 15 inches wide. What is its area? Answer: 360 square inches. Source: Own question; the answer is in the question itself and is worked out again
  • A rectangular frame is 30 inches long and 18 inches wide. How much flat bar goes all the way around it? Answer: 96 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A round cover plate is 6 inches across. Using 3.14 for pi, how long is the weld around its edge? Answer: 18.84 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A round plate has a radius of 5 inches. Using 3.14 for pi, what is its area? Answer: 78.5 square inches. Source: Own question; the answer is in the question itself and is worked out again
  • A solid round bar has a radius of 2 inches and is 10 inches long. Using 3.14 for pi, what is its volume? Answer: 125.6 cubic inches. Source: Own question; the answer is in the question itself and is worked out again
  • A square plate measures 14 inches on each side. What length of weld runs around its whole edge? Answer: 56 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A steel block is 10 inches long, 4 inches wide and 2 inches thick. What is its volume? Answer: 80 cubic inches. Source: Own question; the answer is in the question itself and is worked out again
  • A steel plate is 20 inches long, 10 inches wide and 0.5 inch thick. If the steel weighs 0.28 pound per cubic inch, what does the plate weigh? Answer: 28 pounds. Source: Own question; the answer is in the question itself and is worked out again
  • A tank is 15 inches long, 10 inches wide and 6 inches deep inside. How many cubic inches does it hold? Answer: 900 cubic inches. Source: Own question; the answer is in the question itself and is worked out again
  • A triangular gusset has a base of 9 inches and a height of 6 inches, measured square to the base. What is its area? Answer: 27 square inches. Source: Own question; the answer is in the question itself and is worked out again

Bevel and miter angles 14

  • A 120 degree corner is split evenly by the joint line between two pieces. What angle lies on each side of the joint line? Answer: 60 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • A drawing shows a 45 degree included angle shared equally by two bevels. What is each bevel angle? Answer: 22.5 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • A full turn is 360 degrees. A flange has 6 bolt holes spaced evenly around it. How many degrees apart are the holes? Answer: 60 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • A full turn is 360 degrees. A ring frame made of 8 equal straight pieces turns the same amount at each joint. How many degrees is that? Answer: 45 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • A groove with an included angle of 70 degrees is made from two equal bevels. How many degrees is each bevel? Answer: 35 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • A square corner is 90 degrees. A bevel takes up 35 degrees of it. How many degrees are left? Answer: 55 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • A V-groove must have an included angle of 60 degrees, split evenly between the two plates. What bevel angle goes on each plate? Answer: 30 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • The angles of a triangular gusset add up to 180 degrees. Two of them are 90 and 28 degrees. What is the third? Answer: 62 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • At a miter joint each piece is cut at 22.5 degrees. Through what angle does the frame turn at that joint? Answer: 45 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • Each of two plates is beveled at 30 degrees, and they are butted to make a V-groove. What is the included angle of the groove? Answer: 60 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • One plate of a V-groove is beveled at 35 degrees and the other at 15 degrees. What is the included angle? Answer: 50 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • Two angles of a fit-up add up to 90 degrees. One measures 22.5 degrees. What is the other? Answer: 67.5 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • Two pieces of angle iron meet in a 90 degree corner with equal miter cuts. At what angle is each piece cut? Answer: 45 degrees. Source: Own question; the answer is in the question itself and is worked out again
  • Two plates with 37.5 degree bevels form a V-groove. What is the groove's included angle? Answer: 75 degrees. Source: Own question; the answer is in the question itself and is worked out again

Percentages and ratios 14

  • A cut list of 400 pounds of steel is trimmed by 5 percent. How many pounds remain? Answer: 380 pounds. Source: Own question; the answer is in the question itself and is worked out again
  • A gas blend is 3 parts of one gas to 1 part of another. How much of the first gas is in 20 cubic feet of the blend? Answer: 15 cubic feet. Source: Own question; the answer is in the question itself and is worked out again
  • A gas mix is 75 percent argon. How much argon is in 200 cubic feet of the mix? Answer: 150 cubic feet. Source: Own question; the answer is in the question itself and is worked out again
  • A helmet priced at 120 dollars is marked 25 percent off. What is the sale price? Answer: 90 dollars. Source: Own question; the answer is in the question itself and is worked out again
  • A job calls for 250 welds, and 20 percent of them are finished. How many welds are finished? Answer: 50 welds. Source: Own question; the answer is in the question itself and is worked out again
  • A machine may weld for 60 percent of each 10 minute period. How many minutes of welding is that? Answer: 6 minutes. Source: Own question; the answer is in the question itself and is worked out again
  • A spool of wire that cost 40 dollars goes up by 15 percent. What is the new price? Answer: 46 dollars. Source: Own question; the answer is in the question itself and is worked out again
  • A welder lays 18 inches of weld in 3 minutes at a steady pace. How many inches is that per minute? Answer: 6 inches per minute. Source: Own question; the answer is in the question itself and is worked out again
  • A welder uses 50 pounds of electrode, and 65 percent of it ends up as weld metal. How many pounds of weld metal is that? Answer: 32.5 pounds. Source: Own question; the answer is in the question itself and is worked out again
  • An inspector rejects 12 of 48 welds. What percent were rejected? Answer: 25 percent. Source: Own question; the answer is in the question itself and is worked out again
  • If 5 pounds of wire fill 40 feet of joint, how many pounds fill 100 feet at the same rate? Answer: 12.5 pounds. Source: Own question; the answer is in the question itself and is worked out again
  • In a class exercise 18 of 20 bend samples pass. What percent passed? Answer: 90 percent. Source: Own question; the answer is in the question itself and is worked out again
  • Of 80 feet of seam, 60 feet are welded. What percent of the seam is done? Answer: 75 percent. Source: Own question; the answer is in the question itself and is worked out again
  • On a drawing, 1 inch stands for 4 feet. A beam measures 3.5 inches on the drawing. How long is the real beam? Answer: 14 feet. Source: Own question; the answer is in the question itself and is worked out again

Cutting lengths with kerf 14

  • A 20 1/4 inch plate is cut into 2 equal halves with 1 cut that removes 1/4 inch. How wide is each half? Answer: 10 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A 36 inch strip gives 2 pieces, each 12 1/2 inches long, cut off with 2 cuts that each remove 1/16 inch. What remains? Answer: 10 7/8 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A 60 inch bar has 3 pieces, each 15 inches long, cut from it with 3 cuts. Each cut removes 1/8 inch. What length is left? Answer: 14 5/8 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A 120 inch pipe has 5 pieces, each 18 inches long, cut from it with 5 cuts, each 1/8 inch wide. How long is the remainder? Answer: 29 3/8 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A cut list needs 8 pieces, each 6 1/2 inches long. Between them are 7 torch cuts, each 1/8 inch wide. What length of stock do the pieces and cuts take up? Answer: 52 7/8 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A job needs 5 pieces, each 7 1/4 inches long, with 4 cuts between them, each 3/16 inch wide. What length do the pieces and cuts take up? Answer: 37 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A plate 12 3/8 inches wide is ripped into 4 equal strips with 3 cuts, each 1/8 inch wide. How wide is each strip? Answer: 3 inches. Source: Own question; the answer is in the question itself and is worked out again
  • A plate is ripped into strips with 4 parallel cuts, each 3/16 inch wide. How much plate width do the cuts remove in all? Answer: 3/4 inch. Source: Own question; the answer is in the question itself and is worked out again
  • From a 96 inch length of angle, 4 pieces, each 20 inches long, are cut with 4 cuts, each 1/4 inch wide. How much is left over? Answer: 15 inches. Source: Own question; the answer is in the question itself and is worked out again
  • How many 9 inch pieces can be cut from a 60 inch bar if each cut wastes 1/4 inch? Answer: 6 pieces. Source: Own question; the answer is in the question itself and is worked out again
  • How many 10 inch pieces can be cut from a 72 inch length if each cut wastes 3/16 inch? Answer: 7 pieces. Source: Own question; the answer is in the question itself and is worked out again
  • How many full 12 inch pieces can be cut from a 48 inch bar if each cut wastes 1/8 inch? Answer: 3 pieces. Source: Own question; the answer is in the question itself and is worked out again
  • Pieces 12 inches long are sawed one after another from the end of a bar, and each cut removes 1/8 inch. Measured from that end, where does the far end of piece number 3 fall, after 2 cuts? Answer: 36 1/4 inches. Source: Own question; the answer is in the question itself and is worked out again
  • What length of bar is used up by 4 pieces, each 10 inches long, and the 4 saw cuts that free them, if every cut removes 1/8 inch? Answer: 40 1/2 inches. Source: Own question; the answer is in the question itself and is worked out again

How this list was compiled: Our own arithmetic questions. Every length, angle, price, weight and count is made up for the drill and none is a real statistic or a value from a table or a code. The answer to each is arithmetic on the numbers in the question, worked out when the bank was written and again from the numbers read back out of the question text (2026-10-04). Two values are given inside the questions that use them: 25.4 millimeters to the inch (NIST Special Publication 811, appendix B.9, lists the inch as 2.54 centimeters: https://www.nist.gov/pml/special-publication-811/nist-guide-si-appendix-b-conversion-factors/nist-guide-si-appendix-b9, read 2026-10-04), and 3.14 for pi. Licence: Questions, choices and explanations are original work of this site.

How it works

This welding math practice test is shop arithmetic of our own: inch fractions, millimeters, area, bevel angles, percentages and cutting lengths. Every number needed is in the question, and every answer is worked out step by step.

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What is left out

No welding symbol, code value or chart is used, and no school's or employer's test is copied, so no pass mark is implied.

Six topics

The Start from menu under the question sets one: inch fractions, decimals and millimeters, perimeter, area and volume, bevel and miter angles, percentages and ratios, or cutting lengths with kerf. Every plate, pipe, price and cut list is made up.

Print and exam mode

Print, on the score card, makes a question sheet, and a tick adds an answer key. Exam mode draws 25 questions; that length is this site's choice.

  • Give inch fractions a common denominator before you add or subtract them.
  • Count the cuts as well as the pieces: each cut takes its own kerf out of the stock.
  • The Missed pile, under More options, keeps what you got wrong. Clear my progress, under More options, erases what this browser keeps.

Questions and answers

What math is on a welding math test?

Whoever sets it decides: a school, an employer or a training program writes its own. This page copies none of them. It drills six kinds of shop arithmetic, from adding inch fractions to finding the length a cut list takes.

How do you add fractions of an inch?

Give them the same denominator, add the top numbers, then reduce. For example, 3/8 + 1/4 becomes 3/8 + 2/8, which is 5/8 inch. Each fraction question here shows that working.

What is kerf in a cutting length question?

Kerf is the groove a cut leaves, so its width is metal that ends up in no piece. Each question here states the kerf: four 10 inch pieces freed by four 1/8 inch cuts use 40 1/2 inches.

How do you turn inches into millimeters?

Multiply by 25.4, the number of millimeters in one inch. A plate 1/4 inch thick is 0.25 x 25.4 = 6.35 millimeters. To go back, divide the millimeters by 25.4.

Is this practice test from a real welding exam?

No. It is unofficial practice written for this site. No question comes from a real exam, a test publisher or a prep book. Exam mode's 25 questions are this site's choice, and no pass mark is implied.

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