Trade Mathematics
TRADE MATHEMATICS | EXAM QUESTIONS AND CORRECT
ANSWERS | VERIFIED TECHNICAL MATHEMATICS AND
TRADES latest 2026/2027
TRADE MATHEMATICS
1. Add 3/8 + 5/16.
A. 8/24
B. 11/16
C. 13/16
D. 7/16
B. 11/16
Convert 3/8 to 6/16, then 6/16 + 5/16 = 11/16.
2. A carpenter cuts three pieces measuring 4 1/2 in, 3 3/8 in, and 2 5/8 in. What is the total
length of the pieces?
A. 9 7/8 in
B. 10 1/2 in
C. 11 in
D. 10 3/8 in
B. 10 1/2 in
4 4/8 + 3 3/8 + 2 5/8 = 9 12/8 = 10 1/2 in.
3. Subtract 3 5/8 from 7 1/4.
A. 3 3/8
B. 4 3/8
C. 4 5/8
D. 3 5/8
D. 3 5/8
7 2/8 becomes 6 10/8; 6 10/8 − 3 5/8 = 3 5/8.
Page 1 of 41
, Trade Mathematics
4. Multiply 2 1/2 × 3/4.
A. 3 1/4
B. 1 5/8
C. 1 7/8
D. 2 3/8
C. 1 7/8
5/2 × 3/4 = 15/8 = 1 7/8.
5. How many full 7 1/2 in pieces can be cut from a 96 in length of stock, ignoring saw kerf?
A. 11
B. 13
C. 12
D. 14
C. 12
96 ÷ 7.5 = 12.8, so only 12 full pieces can be cut.
6. Reduce 18/64 to lowest terms.
A. 9/32
B. 3/8
C. 9/16
D. 6/21
A. 9/32
Divide numerator and denominator by 2: 18/64 = 9/32.
7. Convert 0.4375 in to a fraction.
A. 5/16 in
B. 7/16 in
C. 3/8 in
D. 9/16 in
B. 7/16 in
0.4375 × 16 = 7, so the fraction is 7/16.
8. Divide 5 1/4 by 3/8.
A. 14
B. 12
C. 16
D. 15 3/4
A. 14
21/4 × 8/3 = 168/12 = 14.
Page 2 of 41
, Trade Mathematics
9. What is 2.34 in rounded to the nearest 1/16 in?
A. 2 3/8 in
B. 2 1/4 in
C. 2 7/16 in
D. 2 5/16 in
D. 2 5/16 in
0.34 × 16 = 5.44, which rounds to 5/16.
10. Which of the following is the largest value?
A. 5/8
B. 21/32
C. 11/16
D. 0.65
C. 11/16
11/16 = 0.6875, which is greater than 0.625, 0.65625, and 0.65.
SECTION 2: DECIMALS AND TOLERANCES
11. Add 3.125 + 0.875 + 12.06.
A. 15.96
B. 15.06
C. 16.06
D. 16.6
C. 16.06
3.125 + 0.875 = 4.000; 4.000 + 12.06 = 16.06.
12. A shaft with a diameter of 1.250 in is turned down to 1.187 in. How much was removed
from the diameter?
A. 0.163 in
B. 0.063 in
C. 0.0315 in
D. 0.073 in
B. 0.063 in
1.250 − 1.187 = 0.063 in.
13. Multiply 14.6 × 0.35.
A. 5.01
B. 5.11
C. 4.11
D. 51.1
B. 5.11
14.6 × 0.35 = 5.11.
Page 3 of 41
, Trade Mathematics
14. Round 0.78125 to the nearest thousandth.
A. 0.782
B. 0.78
C. 0.7813
D. 0.781
D. 0.781
The digit after the thousandths place is 2, so 0.78125 rounds down to 0.781.
15. Divide 2.5 by 0.125.
A. 0.3125
B. 2
C. 20
D. 200
C. 20
2.5 ÷ 0.125 = 20.
16. A part is dimensioned 2.500 ± 0.005 in. Which measured part must be rejected?
A. 2.495 in
B. 2.506 in
C. 2.500 in
D. 2.504 in
B. 2.506 in
The acceptable range is 2.495 to 2.505 in; 2.506 in is over the upper limit.
17. A shim stack is made of pieces 0.015 in, 0.020 in, and 0.0075 in thick. What is the total
thickness?
A. 0.0375 in
B. 0.0425 in
C. 0.4250 in
D. 0.0435 in
B. 0.0425 in
0.015 + 0.020 + 0.0075 = 0.0425 in.
18. Convert 5/32 to a decimal.
A. 0.1875
B. 0.15325
C. 0.1625
D. 0.15625
D. 0.15625
5 ÷ 32 = 0.15625.
Page 4 of 41
TRADE MATHEMATICS | EXAM QUESTIONS AND CORRECT
ANSWERS | VERIFIED TECHNICAL MATHEMATICS AND
TRADES latest 2026/2027
TRADE MATHEMATICS
1. Add 3/8 + 5/16.
A. 8/24
B. 11/16
C. 13/16
D. 7/16
B. 11/16
Convert 3/8 to 6/16, then 6/16 + 5/16 = 11/16.
2. A carpenter cuts three pieces measuring 4 1/2 in, 3 3/8 in, and 2 5/8 in. What is the total
length of the pieces?
A. 9 7/8 in
B. 10 1/2 in
C. 11 in
D. 10 3/8 in
B. 10 1/2 in
4 4/8 + 3 3/8 + 2 5/8 = 9 12/8 = 10 1/2 in.
3. Subtract 3 5/8 from 7 1/4.
A. 3 3/8
B. 4 3/8
C. 4 5/8
D. 3 5/8
D. 3 5/8
7 2/8 becomes 6 10/8; 6 10/8 − 3 5/8 = 3 5/8.
Page 1 of 41
, Trade Mathematics
4. Multiply 2 1/2 × 3/4.
A. 3 1/4
B. 1 5/8
C. 1 7/8
D. 2 3/8
C. 1 7/8
5/2 × 3/4 = 15/8 = 1 7/8.
5. How many full 7 1/2 in pieces can be cut from a 96 in length of stock, ignoring saw kerf?
A. 11
B. 13
C. 12
D. 14
C. 12
96 ÷ 7.5 = 12.8, so only 12 full pieces can be cut.
6. Reduce 18/64 to lowest terms.
A. 9/32
B. 3/8
C. 9/16
D. 6/21
A. 9/32
Divide numerator and denominator by 2: 18/64 = 9/32.
7. Convert 0.4375 in to a fraction.
A. 5/16 in
B. 7/16 in
C. 3/8 in
D. 9/16 in
B. 7/16 in
0.4375 × 16 = 7, so the fraction is 7/16.
8. Divide 5 1/4 by 3/8.
A. 14
B. 12
C. 16
D. 15 3/4
A. 14
21/4 × 8/3 = 168/12 = 14.
Page 2 of 41
, Trade Mathematics
9. What is 2.34 in rounded to the nearest 1/16 in?
A. 2 3/8 in
B. 2 1/4 in
C. 2 7/16 in
D. 2 5/16 in
D. 2 5/16 in
0.34 × 16 = 5.44, which rounds to 5/16.
10. Which of the following is the largest value?
A. 5/8
B. 21/32
C. 11/16
D. 0.65
C. 11/16
11/16 = 0.6875, which is greater than 0.625, 0.65625, and 0.65.
SECTION 2: DECIMALS AND TOLERANCES
11. Add 3.125 + 0.875 + 12.06.
A. 15.96
B. 15.06
C. 16.06
D. 16.6
C. 16.06
3.125 + 0.875 = 4.000; 4.000 + 12.06 = 16.06.
12. A shaft with a diameter of 1.250 in is turned down to 1.187 in. How much was removed
from the diameter?
A. 0.163 in
B. 0.063 in
C. 0.0315 in
D. 0.073 in
B. 0.063 in
1.250 − 1.187 = 0.063 in.
13. Multiply 14.6 × 0.35.
A. 5.01
B. 5.11
C. 4.11
D. 51.1
B. 5.11
14.6 × 0.35 = 5.11.
Page 3 of 41
, Trade Mathematics
14. Round 0.78125 to the nearest thousandth.
A. 0.782
B. 0.78
C. 0.7813
D. 0.781
D. 0.781
The digit after the thousandths place is 2, so 0.78125 rounds down to 0.781.
15. Divide 2.5 by 0.125.
A. 0.3125
B. 2
C. 20
D. 200
C. 20
2.5 ÷ 0.125 = 20.
16. A part is dimensioned 2.500 ± 0.005 in. Which measured part must be rejected?
A. 2.495 in
B. 2.506 in
C. 2.500 in
D. 2.504 in
B. 2.506 in
The acceptable range is 2.495 to 2.505 in; 2.506 in is over the upper limit.
17. A shim stack is made of pieces 0.015 in, 0.020 in, and 0.0075 in thick. What is the total
thickness?
A. 0.0375 in
B. 0.0425 in
C. 0.4250 in
D. 0.0435 in
B. 0.0425 in
0.015 + 0.020 + 0.0075 = 0.0425 in.
18. Convert 5/32 to a decimal.
A. 0.1875
B. 0.15325
C. 0.1625
D. 0.15625
D. 0.15625
5 ÷ 32 = 0.15625.
Page 4 of 41
