Học Thi Real Estate License ở California: Practice Real Estate Mathematics 1. 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: 69 percent 71 percent 70 percent 14.5 percent None Hint 2. A woman borrowed $5,000 for one year with six percent prepaid interest. She received: $4,700 $5,300 none of these $5,000 None 3. In the figure, how many square feet are contained in the living area of the dwelling only? 2,476 2,236 cannot be computed 2,272 None Hint 4. You wish to earn $50 per month on a six percent investment. How much would you have to invest? $5,000 $6,000 $20,000 $10,000 None 5. 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 seven months eight months six months None 6. Elena sells her home for $40,000, making a 30 percent profit on what she paid for it: $9,000 $9,231 $30,769 $12,000 None Hint 7. In a cubic yard there are: 27 cubic feet all of these 9 square feet 3 linear feet None Hint 8. 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: 12 percent 6 percent 24 percent 20 percent None 9. Oliver sells his house for $14,900. This is 18 percent more than he paid for it. Oliver paid: $17,582 $13,100 $12,218 $12,627 None Hint 10. 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: 2,800 square feet 2,650 square feet 1,750 square feet none of these None Hint 11. 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? $290 $280 $270 $330 None 12. 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" None Hint 13. 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? $11,875.00 $1,136.20 $284.05 $4,750.00 None Hint 14. 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 $2,794.86 $3,883.50 $4,033.33 None 15. The interest paid last month on a six percent loan was $4,900. The balance on the loan was: $245,000 $490,000 $720,000 $980,000 None 16. 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: remained the same increased 12.5 percent increased 10 percent increased 11.1 percent None Hint 17. An investment that would pay $100 per month interest at six percent would require an investment of: $1,666.66 $12,000.00 $20,000.00 $10,000.00 None Hint 18. 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? $1,980 $1,436 $2,970 $3,300 None 19. 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: 64 percent 11 percent 80 percent 280 percent None Hint 20. Lance sells a new note at a four percent discount. He receives $5,200. The face amount of the note is: $5,416.66 $5,611.27 $5,408.00 $4,992.00 None 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 45 12 3 None Hint 22. 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 b a c d None 23. 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: $6.50 $7.50 $11.00 $8.50 None Hint 24. In the preceding question, the percentage of profit based on selling price is: 40 percent 60 percent 150 percent 200 percent None Hint 25. The last month's interest on a six percent loan was $739.12. What was the loan balance? $198,413 $147,824 $152,316 $136,826 None Hint 26. What percentage of a section is 1/90 of a township? 10 percent 40 percent 38 percent 45 percent None Hint 27. 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 54.45 feet 217.8 feet 118.3 feet None Hint 28. If Lot C sells for $1 per square foot, it would sell for: $10,000 $20,000 $15,000 $1,000 None Hint 29. 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? $12,750 $7,350 $7,950 $9,150 None 30. A mil is expressed as: .0001 .01 .001 .1 None Hint 31. 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: 4.8 percent 9.6 percent 29.8 percent 38 percent None Hint 32. Mr. Jones had sales of $25,000. His markup was 50 percent of his cost. The merchandise cost him: $18,200 $17,500 $16,666.66 $12,500 None Hint 33. To find the square footage of a square 40 arce parcel: multifly 1,320 x 1,320 neither a nor b multifly 40 x 43,560 feet either a or b None 34. The easiest way to compute one month's interest at 7.2 percent would be to multiply the principal by: 7.2 0.072, and divide by 12 0.006 .06 None Hint 35. A $10,000 loan requires payments of $100 per month plus interest. As to the monthly payments, the amount of money applying to: interest will decrease neither a nor b principal will increase both a and b None Hint 36. 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? $28,730 $28,081 $29,813 $26,543.50 None 37. A 2'' x 8'' board 9 feet long would contain ___ board feet, 9 8.3 1 12 None Hint 38. If the lots in the figure sell for $10 per front foot on Main Street, Lot D would sell for: $10,000 $1,000 $20,000 none of these None Hint 39. Lucy owes $8,100 on a note. Her next monthly interest payment will be $58.32 Annual interest on the note is: 5 percent 4.5 percent 1/2 percent 8.64 percent None Hint 40. A three-strand wire fence around a square 40-acre parcel would require how much wire? 3 miles 6 miles none of these 4.5 miles None Hint 41. A 10-acre rectangular lot on High Street sold for $60,000. Assuming a depth of 300', the price paid per front foot is: $344.14 $83.11 $34.14 $713.23 None 42. 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 None 43. How many acres are there in 580,800 square yards? 1,200 197.5 120 133.3 None 44. 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? none of these $7,500 $4,000 $5,500 None 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? 1,280 lbs 420 lbs 687 lbs 211 lbs None 46. 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 None Hint 47. 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? $9,625 $11,315 $10,815 $9,738 None 48. 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 $284.03 $11.13 none of the above None Hint 49. 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? $35,555 $42,667 $3,840 $28,730 None Hint 50. A property was listed to give the owner $41,000 after the six percent commission was paid. It was listed at: $43,918 $38,640 $43,617 $43,437 None 51. 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: $3,900,000 $39,000,000 $390,000 $418,000 None 52. A rectangular parcel 422 feet wide contains 8.3 acres. Its depth is: 1,187.2 feet 435.6 feet 856.75 feet 801.11 feet None Hint 53. 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' 348.48' 1,742.4' 217.4' None 54. 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: 47 feet 33 feet 66 feet 16 feet None 55. If the lots in the figure sell for $100 per front foot on Main Street, Lot A would sell for: $20,000 $1,000 none of these $10,000 None Hint 56. 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: 60 percent 200 percent 150 percent 40 percent None Hint 57. To find the depth of a rectangular parcel when the width and the total area are known: divide the width by the area divide the area by the width none of these multiply the width by the area None 58. A road runs along the south boundary of a section. It contains three acres. Its width is: 43 feet 50 feet 24.7 feet 18.1 feet None Hint 59. The cost-of-living index increased from 100 to 120. What effect does this have the purchasing power of the dollar? none of these lowers it 16 2/3 percent lowers it 20 percent lowers it 25 percent None Hint 60. The maximum number of 50' x 75' lots that can be made from one acre would be: 13 12 11 10 None Hint 61. Nine cubic yards of concrete is equal to: 72 cubic feet 27 cubic feet 81 cubic feet 243 cubic feet None Hint 62. 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 = R x T x I P = I/R P = I/(R x T) P = R/I None 63. Nate has 10 apartments fully rented at $100 per month. He raises his rent 10 percent and experiences a 10 percent vacancy factor. his yearly income remains the same his monthly income increases his monthly income decreases this is an example of maximization of the net None Hint 64. 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 $1,824 $1,292 $1,936 None 65. 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 20 percent 50 percent 33 1/2 percent None Hint 66. 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? $850 $3,100 $1,600 $2,800 None