Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2532 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4488 sq.m. of land in 15 days. workers Answer:_______________ |
| 2) If 2547 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 4873 sq.m. of land in 15 days. workers Answer:_______________ |
| 3) If 2683 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 4727 sq.m. of land in 13 days. workers Answer:_______________ |
| 4) If 2447 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 5633 sq.m. of land in 13 days. workers Answer:_______________ |
| 5) If 2525 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4263 sq.m. of land in 14 days. workers Answer:_______________ |
| 6) If 2897 sq.m. of land can be tilled by 16 workers in 6 days , how many workers are neede to till 4064 sq.m. of land in 12 days. workers Answer:_______________ |
| 7) If 2125 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 4739 sq.m. of land in 13 days. workers Answer:_______________ |
| 8) If 2980 sq.m. of land can be tilled by 20 workers in 8 days , how many workers are neede to till 5208 sq.m. of land in 13 days. workers Answer:_______________ |
| 9) If 2646 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5614 sq.m. of land in 12 days. workers Answer:_______________ |
| 10) If 2844 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 5809 sq.m. of land in 15 days. workers Answer:_______________ |
| 1) If 2532 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4488 sq.m. of land in 15 days. Answer: 12 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2532 to 4488.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.7725118483412 x 0.33333333333333 x 20 = 12 workers |
| 2) If 2547 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 4873 sq.m. of land in 15 days. Answer: 15 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2547 to 4873.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.9132312524539 x 0.4 x 20 = 15 workers |
| 3) If 2683 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 4727 sq.m. of land in 13 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2683 to 4727.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 1.76183376817 x 0.61538461538462 x 16 = 17 workers |
| 4) If 2447 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 5633 sq.m. of land in 13 days. Answer: 18 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2447 to 5633.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.302002451982 x 0.46153846153846 x 17 = 18 workers |
| 5) If 2525 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4263 sq.m. of land in 14 days. Answer: 12 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2525 to 4263.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.6883168316832 x 0.35714285714286 x 20 = 12 workers |
| 6) If 2897 sq.m. of land can be tilled by 16 workers in 6 days , how many workers are neede to till 4064 sq.m. of land in 12 days. Answer: 11 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2897 to 4064.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 1.4028305143252 x 0.5 x 16 = 11 workers |
| 7) If 2125 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 4739 sq.m. of land in 13 days. Answer: 29 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2125 to 4739.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 2.2301176470588 x 0.69230769230769 x 19 = 29 workers |
| 8) If 2980 sq.m. of land can be tilled by 20 workers in 8 days , how many workers are neede to till 5208 sq.m. of land in 13 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2980 to 5208.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.7476510067114 x 0.61538461538462 x 20 = 22 workers |
| 9) If 2646 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5614 sq.m. of land in 12 days. Answer: 15 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2646 to 5614.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.1216931216931 x 0.41666666666667 x 17 = 15 workers |
| 10) If 2844 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 5809 sq.m. of land in 15 days. Answer: 12 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2844 to 5809.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.0425457102672 x 0.33333333333333 x 18 = 12 workers |