Design and Communication Technology

Question 1

1The circumference of an ellipse is approximated by π(a + b) for small eccentricity. For a = 50 mm and b = 30 mm this gives about

Hard

A. 314 mm B. 80 mm C. 157 mm D. 251 mm

Question 2

2To bisect a line, you draw arcs from each end that are

Easy

A. any size B. more than half the length of the line C. less than half the length D. exactly a quarter

Question 3

3The path traced by a point on the rim of a wheel rolling along a straight line is

Medium

A. an involute B. a cycloid C. a spiral D. a helix

Question 4

4To bisect a line means to

Easy

A. measure it B. divide it into two equal parts C. extend it D. draw it at 45°

Question 5

5An involute is the curve traced by

Medium

A. a moving point equidistant from two points B. the end of a string unwound from a circle C. a straight line D. a point on a rolling circle

Question 6

6The locus of a point that stays a fixed distance from a straight line is

Easy

A. a parabola B. a circle C. a point D. a pair of parallel lines

Question 7

7The golden ratio is approximately

Easy

A. 3.142 B. 2.718 C. 1.414 D. 1.618

Question 8

8The curve traced by a point on a string as it is unwound from a circle is

Medium

A. an involute B. a cycloid C. a parabola D. an ellipse

Question 9

9A regular polygon with 6 sides is a

Easy

A. pentagon B. hexagon C. octagon D. heptagon

Question 10

10To construct a 60° angle, you can use

Easy

A. a ruler only B. a 45° set square only C. a protractor only D. an equilateral triangle construction with compasses