Victory for the ACT Student Text 15e

272 • M ATH

DIRECTIONS : Solve each item and choose the correct answer choice. Calculator use is permitted; however, some items are best solved without the use of a calculator. This section contains additional Mathematics items for further practice. Answers are on page 440. NOTES: All of the following should be assumed, unless otherwise stated. 1. ŽŽ—•–”ƒ–‹˜‡ ϐ‹‰—”‡• ƒ”‡ necessarily drawn to scale. 2. The word average indicates arithmetic mean. 3. The word line indicates a straight line. 4. ‡‘‡–”‹…ϐ‹‰—”‡• Ž‹‡ ‹ ƒ ’Žƒ‡Ǥ 3. What is 10% of x 3 if x 3 2 is 10% of 60? A. 0.1 B. 0.2 C. 0.3 D. 0.4 E. 0.5 4.  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ M and N are midpoints of sides PR and , PQ respectively, of PQR T . What is the ratio of the area of MNS T to that of PQR T ?

1. The approximate distance from the earth to the moon is 1,261,392,000 feet. If an astronaut has made three trips to the moon (and back), what is the approximate total distance he has traveled between the earth and the moon? A. .1 26 10 6 # 2. If each of the dimensions of a rectangle is increased by 100%, by what percent is the area increased? F. 100% G. 200% H. 300% J. 400% K. 500% B. .7 57 10 6 # C. .1 26 10 9 # D. .7 57 10 9 # E. .7 57 10 12 #

The Cambridge Edge Know how to use your calculator to do •…‹‡–‹ϐ‹…‘–ƒ–‹‘ problems. Some calculators allow you to input the —„‡”• ‹ •…‹‡–‹ϐ‹… notation and return the product in •…‹‡–‹ϐ‹…‘–ƒ–‹‘ as well. Know the capabilities of your calculator. If you don't have a calculator that –ƒ‡• •…‹‡–‹ϐ‹… notation inputs, then use the calculator to multiply the …‘‡ˆϐ‹…‹‡–•Ǥ

F. :2 5 G. :1 4 H. :2 9 J. :1 8 K. :1 12

A cube has an edge that is 4 inches long. If the edge is increased by 25%, which of the following is the best approximation of the percent increase in the volume of the cube? A. 25% B. 48% C. 73% D. 95% E. 122%

5.