From a point at 100,100 a polar entry of 50 units at 90 degrees places the next point at
Answer: C
Correct answer: 100,150
An angle of 90 degrees points along the positive Y axis, so the whole 50 units is added to Y: \[ (100,\ 100 + 50) = (100,\ 150). \] Angles are measured anticlockwise from the positive X axis by default, which is worth confirming before relying on a typed bearing.
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A polar entry of 100 units at 30 degrees from the origin gives a point at approximately
Answer: D
Correct answer: 86.6, 50
\[ x = 100\cos 30^\circ = 86.6, \qquad y = 100\sin 30^\circ = 50. \] Reversing the two gives 50, 86.6, which is the point at 60 degrees and is offered as the first distractor - the cosine goes with x.
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Geometry drawn full size is to be plotted at 1:50. The plot scale factor to be applied is
Answer: A
One divided by fifty gives 0.02, so every drawn unit occupies a fiftieth of that length on paper. The geometry itself is unaltered, which is what allows the same drawing to be plotted at several scales for different purposes.
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Text is to appear 3 mm high on a drawing plotted at 1:50. Its height in the drawing must be
Answer: B
Correct answer: 150 mm
A plot at 1:50 reduces every drawn length fiftyfold, so text that is to finish 3 mm high must be drawn \[ 3 \times 50 = 150\ \mathrm{mm} \] high. The same factor applies to arrowheads, hatch spacing and line type patterns, which is why the plot scale has to be settled before the annotation is added.
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A rectangle drawn from 0,0 to 120,80 enclosing an offset copy 10 units inside has inner dimensions of
Answer: C
Correct answer: 100 by 60
Offsetting inward takes 10 units off each of the four sides, so 10 comes off both ends of each dimension: \[ 120 - 20 = 100, \qquad 80 - 20 = 60. \] Subtracting the offset only once gives 110 by 70, which is the standard error and is offered here.
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A rectangular array of 4 columns at 25 units and 3 rows at 40 units spans overall
Answer: D
Correct answer: 75 by 80 units between outermost centres
The span between outermost centres counts the gaps rather than the items: four columns have three gaps and three rows have two. \[ 3 \times 25 = 75, \qquad 2 \times 40 = 80. \] Multiplying by the counts instead gives 100 by 120, which is the trap.
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A drawing created in metres is inserted into one whose units are millimetres. The insertion scale factor required is
Answer: A
Each metre must become a thousand millimetres, so the inserted geometry is scaled up by that factor. Neglecting the conversion produces a component a thousand times too small, which is usually obvious but occasionally not.
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A circle of 40 mm diameter is filleted into a 60 mm line with a 10 mm radius. The fillet arc's radius is
Answer: B
Correct answer: 10 mm
The fillet radius is whatever the command was given - 10 mm - and it does not depend on the size of the entities being filleted. The circle’s 40 mm diameter and the line’s 60 mm length determine where the arc sits and how much is trimmed, but not its radius.
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A part drawn at 1:1 occupying 2400 by 1200 mm is to be plotted on an A1 sheet of 841 by 594 mm. The largest suitable standard scale is
Answer: C
At 1:2 the part would need 1200 by 600 millimetres, which exceeds the sheet, while 1:5 gives 480 by 240 and fits with room for the title block and margins. Standard scales are preferred to an exact fit because they are read without arithmetic.
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Match the coordinate entry method with what it measures from.
1. Absolute 2. Relative 3. Polar
P. The previous point, as two offsets Q. The fixed origin R. The previous point, as a distance and angle
Answer: D
Correct answer: 1-Q, 2-P, 3-R
Three ways of naming a point. Absolute entry measures from the fixed origin. Relative entry measures from the previous point as two offsets. And polar entry measures from the previous point as a distance and an angle. The last two share their reference and differ only in how the step is described.
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