RATIO AND PROPORTION. 1. A 1-1't. square equals what part of a 2-ft. square? 2. A 1-ft. cube equals what part of a 2-ft. cube? , 3. A 2-ft. square equals what part of a 3-ft. square? 4. A 2-ft. cube equals what part of a 3-ft. cube? 5. A 2-yd. square equals how many times a 1-yd. square? 6. A 2-yd. cube equals how many times a 1-yd. cube? 7. A 3-yd. sq're equals what part of a 4-yd. square? (a) A 10-rod square equals what part of a 12-rd. sq're? (b) A 12-rd. sq're equals what part of a 16-rd. sq're? (c) A 12-rd. sq're equals what part of a 24-rd. sq're? (d) A 12-rd. sq're equals what part of a 36-rd. sq're? 8. A 3-ft. cube equals what part of a 4-ft. cube? (e) A 3-ft. cube equals what part of a 5-ft. cube? (f) A 3-ft. cube equals what part of a 6-ft. cube? (g) A 3-ft. cube equals what part of a 9-ft. cube? 9. A £-ft. square equals what part of a 1-ft. square? (h) A ^-ft. cube equals what part of a 1-ft. cube? 10. A 1-ft. sq're equals how many times a ^-ft. sq're? (i) A 1-ft. cube equals how many times a ^-ft. cube? 11. The surface of a 1-foot cube equals what part of the surface of a 2-foot cube? (j) The surface of a 2-ft. cube equals what part of the surface of a 3-ft. cube? (k) The surface of a 1-ft. cube equals what part of the surface of a 1-yd. cube? (1) If a 1-inch cube of silver is worth $3.60, how much is a 3-inch cube of the same metal worth? PERCENTAGE. Review pages 17 and 18. 1. 25% of 24 is — (a) Find 25% of $3479. 2. 24 is 25% of — (b) $3479 is 25% of what? 3. 8 is — % of 24. (c) 75 is what % of 375 ? Review pages 27 and 28. 4. 124% of 72 is -, (d) Find 124% of $650. 5. 72 is 12% of — (e) $650 is 121% of what ? 6. 12 is — % of 72. (f) 35 is what % of 245 ? Review pages 37 and 38. 7. 10% of 45 is _. (g) Find 10% of $725. 8. 45 is 10% of — (h) $725 is 10% of what ? 9. 5 is — % of 45. (i) 55 is what % of 440 ? Review pages 47 and 48. 10. 66% of 48 is — (j) Find 66 of $756. 11. 48 is 66% of — (k) $756 is 66% of what ? 12. 36 is — % of 48. (1) $450 is what % of $600 ? Review pages 57 and 58. 13. 60% of 75 is - (m) Find 60% of $810. 14. 75 is 60% of — (n) $810 is 60% of what ? 15. 20 is — % of 40. (0) $84 is what % of $210 ? Review pages 67 and 68. 16. 80% of 60 is — (p) Find 80% of $640. 17. 60 is 80% of — (q) $640 is 80% of what ? 18. 50 is — % of 60. (r) $550 is what % of $660 ? Review pages 77, 78, 87, and 88. 19. 374% of 24 is - (s) Find 374% of $576. 20. 24 is 371% of — (t) $576 is 371% of what ? 21. 24 is —% of 80. (u) $675 is what % of $750 ? PERCENTAGE. 1. One % of 357 = (a) Find 13% of 357. 2. 39 is 3% of . (b) 264 is 8% of what? 3. 15 is % of 300.* (c) 60 is what % of 750 ?f Review pages 107 and 108. 4. One % of 736 = (d) Find 8^% of 736. 5. 108 is 9% of . (e) 375 is 5% of what? 6. 57 is % of 300. (f) 41.5 is what % of 830? Review pages 117 and 118. 7. 25% more than 80 = 25% less than 80 = 8. 40 is 25 % more than 4 45 is 25% less than . 9. 75 is % more than 60.§ 60 is % less than 75. 10. Alice has $40; Jane has $50; Mary has $60. * First find Vf, of 300. t First find 1% of 750. X Let x = the number sought, the base; then 40 = x and 1 fourth of x, or | of x. jj 75 is how many more than 60? 15 is what % of 60? Review pages 113 and 123. (b) Change .275 to a common fraction and reduce it to its lowest terms. (©).375. (d) .425. (e).575. (f).625. Review pages 133 and 143. (g) Find the cost of 6.28 acres of land at $2.75 an A.* (h) Find the cost of 3.46 tons of coal @ $6.75 a ton. (i) Divide 6.25. by 5. (6.425 = 5 units.) (j) Divide 6.25 by .5 (6.2'5 5 tenths.) (k) Divide 6.25 by .05. (6.25' = 5 hundredths.) (1) Divide 36 by 5. (36' divided by 5 units.) (m) Divide 36 by .5. (36.0' 5 tenths.) (n) Divide 36 by .05. (36.00" 5 hundredths.) (0) Divide 36 by .005. (36.000' = 5 thousandths.) (p) Divide 57.26 by 7. (57.426 divided by 7 units.) (9) Divide 57.26 by .7. (57.246 7 tenths.) (r) Divide 57.26 by .07. (57.26' ; 7 hundredths.) (s) Divide 57.26 by .007. (57.260o = 7 thousandths.) (t) Divide 67.5 by 25. (67.45 divided by 25 units.) (u) Divide 67.5 by 2.5. (67.5' + 25 tenths.) (v) Divide 67.5 by .25. (67.50o = 25 hundredths.) (w) Divide 67.5 by .025. (67.500" = 25 thousandths.) (x) Divide 6.75 by 25. (25 units in 6 units = 0., etc.) (y) Divide 6.75 by 2.5. (6.745 + 25 tenths.) * Require the pupil to put the work on the blackboard and to explain by telling (1) the cost of 1 hundredth of an acre; (2) of 8 hundredths; (3) of 1 tenth; (4) of 2 tenths; (5) of 1 acre; (6) of 6 acres; (7) of 6.28 acres. How many decimal places in the product? How many in the multiplicand ? How many in the multiplier ? CONTENTS—PART II. Pages - 151-158 161-168 - 171-178 181-188 - 191-198 201-206 - 211-216 221-228, 231-238, 241-248, 251-256 261-266, 271-276 281 282 283 284 285 - 291-296 301-306 - 311-316 321-328, a31-338 - 341-348,351-358 361-368 157,158; 167,168; 177,178, etc. 159,169,179,189,199, 209, etc. 160, 170,180,190, 200, 210, etc. |