Units, prefixes and standard form
Convert prefixes, squared and cubed units. Write numbers in standard form.
Read main and vernier scales, correct signed zero errors and find resolution.
The signed zero error (indication when the jaws close) is +0.10 mm. Find the corrected length in mm.
Main divisions are 1 mm; 10 vernier divisions span 9 mm. Read the aligned index from 0 to 9. At index 0, the final endpoint also aligns. This is a scale close-up.
Main-scale mark immediately left of vernier zero: 72 mm. Aligned vernier division: 5. 10 vernier divisions span 9 mm.
Corrected length = indicated reading − signed zero error.
For a vernier with resolution 0.1 mm, suppose the main-scale reading just left of the vernier zero is 24 mm and the sixth vernier line aligns. Reading = 24 + 6 × 0.1 = 24.6 mm. Use the instrument’s stated resolution; different verniers have different increments.
The main-scale reading is the last mark before the vernier zero. The aligning line contributes a fraction of a main-scale division, not six extra millimetres. Apply a zero-error correction only when one is supplied or established.
Use the main-scale mark immediately to the left of vernier zero. Add the number of the aligned vernier mark multiplied by the resolution. The main scale here has 1 mm divisions. Use an aligned index from 0 through N − 1. When index 0 aligns, the final endpoint N also aligns; that endpoint repeats the zero position.
If N vernier divisions span N − 1 mm, each vernier division is (N − 1)/N mm. The difference from a 1 mm main division is 1/N mm: 0.1 mm for N = 10 or 0.05 mm for N = 20.
Corrected length = indicated length − signed zero error. Subtract a positive error; add the magnitude of a negative one. The zero error is supplied as the indication when the jaws close. Scale marks align exactly in these exercises.
AQA 7408: 7.1 AT e (selected); OCR A H556: 1.2.2(e) (selected). Tasks cover the selected skills listed above.
AQA specification · OCR A specification · AQA practical handbook · OCR practical skills handbook