Học Thi Real Estate License ở California: Practice Real Estate Mathematics 1. You wish to earn $50 per month on a six percent investment. How much would you have to invest? $6,000 $20,000 $5,000 $10,000 2. A speculator purchased a home at 25 percent less than list price and later sold it for the original list price. The percentage of profit was: 25 percent 50 percent 33 1/2 percent 20 percent Hint 3. Frank buys a $1,200 trust deed at a 25 percent discount. The trust deed requires payments of $104 per month, including interest for one year. Frank's percentage of return for the year on his investment is: 38 percent 9.6 percent 29.8 percent 4.8 percent Hint 4. On a 25-year lease at $15,000 a year, a broker gets a commission of seven percent for the first year, five percent for the next four years, three percent for the next 10 years, and one percent for the remainder of the lease. How much commission has the broker earned by the end of the nineteenth year? $7,350 $12,750 $7,950 $9,150 5. In the preceding question, the percentage of profit based on selling price is: 200 percent 40 percent 150 percent 60 percent Hint 6. The cost-of-living index increased from 100 to 120. What effect does this have the purchasing power of the dollar? lowers it 16 2/3 percent lowers it 20 percent lowers it 25 percent none of these Hint 7. A property owner had an assessed value of $10,000 on his home, with taxes at $8 per $100 assessed valuation, making his taxes $800. The next year, the tax rate went up to $9 per $100, making his taxes $900. The assessed value: increased 10 percent increased 12.5 percent increased 11.1 percent remained the same Hint 8. If thw buyer's down payment is $12,000 and the property has a net income of $8,300, the buyer's percentage of return on the down payment is: 70 percent 71 percent 14.5 percent 69 percent Hint 9. Two houses sold together for $49,911. If one was valued $3,176 more than the other, what did the more expensive home sell for? $29,813 $26,543.50 $28,081 $28,730 10. A 5 foot fence will be built around the perimeter of a 50' x 120' rectangular lot. If the fence will cost $1.80 per linear foot for labor and $.40 per square foot for material, what will be the cost of the fence? $1,700 $1,936 $1,292 $1,824 11. If the tax rate is $2.392 per $100 of assessed valuation and a property is assessed at 25 percent of its real value of $47,500, what are the taxes? $1,136.20 $4,750.00 $11,875.00 $284.05 Hint 12. The last month's interest on a six percent loan was $739.12. What was the loan balance? $147,824 $198,413 $136,826 $152,316 Hint 13. To find the depth of a rectangular parcel when the width and the total area are known: divide the area by the width divide the width by the area none of these multiply the width by the area 14. A lender agrees to make a 90 percent loan on a home selling for $220,000 providing the borrower pays loan costs of 1 1/2 percent. What are the loan costs? $2,970 $1,436 $3,300 $1,980 15. A property was listed to give the owner $41,000 after the six percent commission was paid. It was listed at: $38,640 $43,617 $43,437 $43,918 16. Mr. Jones had sales of $25,000. His markup was 50 percent of his cost. The merchandise cost him: $17,500 $12,500 $16,666.66 $18,200 Hint 17. A man paid off an eight percent term loan for $800. His total interest cost was $42.66. He paid off the loan in: nine months six months eight months seven months 18. An investor purchased two lots at $6,000 each and divided them into three lots, which he sold for $4,800 each. His percentage of profit based on cost was: 6 percent 20 percent 24 percent 12 percent 19. What percentage of a section is 1/90 of a township? 10 percent 45 percent 40 percent 38 percent Hint 20. If Lot C sells for $1 per square foot, it would sell for: $10,000 $15,000 $20,000 $1,000 Hint 21. Claude wishes to pour a concrete patio 40' x 10' and four inches thick. How many cubic yards of concrete are needed? 5 3 12 45 Hint 22. An 80 -acre parcel purchased for $400 per acre is resold in four 20-acre parcels at $1000 per acre. The percentage of profit based on cost is: 40 percent 200 percent 60 percent 150 percent Hint 23. A road runs along the south boundary of a section. It contains three acres. Its width is: 50 feet 24.7 feet 18.1 feet 43 feet Hint 24. A mil is expressed as: .0001 .1 .001 .01 Hint 25. Oliver sells his house for $14,900. This is 18 percent more than he paid for it. Oliver paid: $13,100 $17,582 $12,218 $12,627 Hint 26. An investment that would pay $100 per month interest at six percent would require an investment of: $10,000.00 $1,666.66 $12,000.00 $20,000.00 Hint 27. If the lots in the figure sell for $10 per front foot on Main Street, Lot D would sell for: $20,000 none of these $1,000 $10,000 Hint 28. A 2'' x 8'' board 9 feet long would contain ___ board feet, 12 8.3 1 9 Hint 29. An owner divides a one-acre parcel into four equal rectangular lots, each 200 feet deep. What is the approximate width of each lot? 87.12 feet 217.8 feet 54.45 feet 118.3 feet Hint 30. Lucy owes $8,100 on a note. Her next monthly interest payment will be $58.32 Annual interest on the note is: 4.5 percent 8.64 percent 5 percent 1/2 percent Hint 31. A 10-acre rectangular lot on High Street sold for $60,000. Assuming a depth of 300', the price paid per front foot is: $34.14 $83.11 $713.23 $344.14 32. A property was purchased for $10,000 and has a gross income of $2,000. The only expense is the owner's interest payment of nine percent on an $8,000 trust deed. The owner's percentage of return on his equity is: 11 percent 64 percent 280 percent 80 percent Hint 33. A property was purchased for $87,500. The buyer now wishes to sell it. If selling costs will equal 11 percent of any sales price, how much must the property appreciate in value for the seller to break even? $11,315 $10,815 $9,625 $9,738 34. Lance sells a new note at a four percent discount. He receives $5,200. The face amount of the note is: $5,611.27 $5,408.00 $4,992.00 $5,416.66 Hint 35. Which of the following possible transaction will result in the greatest net to a seller? Sale Price Commission Closing Costsa. $640,000 5% $13,800b. $638,000 6 1/2% $10,200c. $637,500 6 .4% $3,100c. $628,000 4.5% $2,450 a c d b 36. Seller A offers the S 1/2 of the NW 1/4 of the NE 1/4 of Section 21 for sale through Broker B at a list price of $350 per acre. Broker B presents Buyer C's offer of $6,100 to Seller A. Seller A accepts Buyer C's offer provided that the buyer pays the broker 10 percent commission on the offered price. If the buyer accepts this provision, how much less than the original list price did the buyer actually pay? $280 $330 $270 $290 37. A rectangular piece of property has 200 feet on one side and an apartment building that is worth $193,600, which is the equivalent of $4.40 per square foot for the lot. What is the front footgage? 220 feet 440 feet 880 feet 110 feet 38. Lot E has a building setback of 30 feet from each side. The maximum square footage of a two-story building on Lot E would be: 3,200 square feet 20,000 square feet 120,000 square feet 1,600 square feet Hint 39. A rectangular parcel 422 feet wide contains 8.3 acres. Its depth is: 1,187.2 feet 856.75 feet 801.11 feet 435.6 feet Hint 40. If the lots in the figure sell for $100 per front foot on Main Street, Lot A would sell for: $20,000 $1,000 $10,000 none of these Hint 41. To find the square footage of a square 40 arce parcel: multifly 40 x 43,560 feet either a or b multifly 1,320 x 1,320 neither a nor b 42. A road runs along the south boundary of the SW 1/4 of the SW 1/4 of a section. If the road contains two acres in area, the width of the road would be: 33 feet 66 feet 47 feet 16 feet 43. The easiest way to compute one month's interest at 7.2 percent would be to multiply the principal by: .06 0.072, and divide by 12 7.2 0.006 Hint 44. A lot is assessed at 25 percent of its $7,500 market value. The tax rate is .02392 per dollar of valuation. Taxes would be: $44.85 $11.13 $284.03 none of the above Hint 45. If barberd wire weighs one pound per rod, how many pounds of barbed wire will it take to put a single-strand fence around a section? 687 lbs 420 lbs 1,280 lbs 211 lbs 46. A three-strand wire fence around a square 40-acre parcel would require how much wire? 6 miles none of these 3 miles 4.5 miles Hint 47. In the figure, how many square feet are contained in the living area of the dwelling only? 2,476 2,272 2,236 cannot be computed Hint 48. A $10,000 loan requires payments of $100 per month plus interest. As to the monthly payments, the amount of money applying to: neither a nor b principal will increase both a and b interest will decrease Hint 49. Nine cubic yards of concrete is equal to: 72 cubic feet 27 cubic feet 243 cubic feet 81 cubic feet Hint 50. A sales manager received $3,500 per month plus 0.1 percent of office sales. For March, she received $7,400. This was based on monthly sales of: $390,000 $418,000 $3,900,000 $39,000,000 51. A woman borrowed $5,000 for one year with six percent prepaid interest. She received: $5,300 $5,000 none of these $4,700 52. In a cubic yard there are: all of these 3 linear feet 9 square feet 27 cubic feet Hint 53. The interest paid last month on a six percent loan was $4,900. The balance on the loan was: $245,000 $980,000 $490,000 $720,000 54. A borrower was required to give the lender a deposit equal to three months' taxes and insurance cost. If the property was 0,024 per dollar of assessment and the yearly insurance cost was $462, what deposit was required? $3,944.33 $4,033.33 $2,794.86 $3,883.50 55. Given the amount of interest paid, the rate of interest, and the time, which formula would you use to find the amount of the principal? P = I/R P = R x T x I P = I/(R x T) P = R/I 56. Jay sells a lot for 20 percent more than he paid for it and invests the entire proceeds in an investment yielding nine percent per year. His monthly return on his investment is $320. What did Jay originally pay for the lot? $42,667 $35,555 $28,730 $3,840 Hint 57. The maximum number of 50' x 75' lots that can be made from one acre would be: 10 12 13 11 Hint 58. Elena sells her home for $40,000, making a 30 percent profit on what she paid for it: $30,769 $9,000 $9,231 $12,000 Hint 59. A board foot of lumber cannot be obtained from a board: 5" x 12" x 12" 1" x 2" x 5" 6" x 6" x 6" 1" x 6" x 20" Hint 60. Nate has 10 apartments fully rented at $100 per month. He raises his rent 10 percent and experiences a 10 percent vacancy factor. his monthly income decreases this is an example of maximization of the net his monthly income increases his yearly income remains the same Hint 61. How many acres are there in 580,800 square yards? 133.3 197.5 1,200 120 62. A 10-arce rectangular parcel is divided into six equal lots, each having a depth of 250'. The width of each lot is approximately how many feet? 290.4' 217.4' 1,742.4' 348.48' 63. A man owned a rectangular property with an area of 3/4 of an acre and a depth of 110 feet. He purchased the adjoining property, which was 2/3 the size of his own with the same depth, for $1,400. Putting them together into rectangular lots of 82.5' x 110' each, he sold the lots for $750 each, which was 50 percent over his cost. How much did he pay for his original property? $3,100 $1,600 $850 $2,800 64. On a 90' x 90' lot, the building setbacks are 30' from the front, and 10' from the sides, and 20' from rear line. The net building area is: 1,750 square feet 2,650 square feet 2,800 square feet none of these Hint 65. A woman purchased a property for $15,000 with $2,000 down and no payments or interest for one year. At the end of the year, she sold the property at double the purchase price. Each dollar of the original investment is now worth: $7.50 $8.50 $6.50 $11.00 Hint 66. A man purchased three lots for $17,000. Lot 2 sells for $1,500 more than Lot 1, and Lot 3 sells for $2,000 more than Lot 2. What is the full price of Lot 2? $4,000 none of these $7,500 $5,500