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 2119 sq.m. of land can be tilled by 16 workers in 10 days , how many workers are neede to till 5203 sq.m. of land in 12 days. workers Answer:_______________ |
| 2) If 2430 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 4320 sq.m. of land in 12 days. workers Answer:_______________ |
| 3) If 2821 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5579 sq.m. of land in 14 days. workers Answer:_______________ |
| 4) If 2019 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 5172 sq.m. of land in 14 days. workers Answer:_______________ |
| 5) If 2681 sq.m. of land can be tilled by 19 workers in 6 days , how many workers are neede to till 4679 sq.m. of land in 12 days. workers Answer:_______________ |
| 6) If 2235 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 4603 sq.m. of land in 12 days. workers Answer:_______________ |
| 7) If 2592 sq.m. of land can be tilled by 19 workers in 8 days , how many workers are neede to till 4225 sq.m. of land in 15 days. workers Answer:_______________ |
| 8) If 2708 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 4706 sq.m. of land in 13 days. workers Answer:_______________ |
| 9) If 2784 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5614 sq.m. of land in 14 days. workers Answer:_______________ |
| 10) If 2999 sq.m. of land can be tilled by 19 workers in 6 days , how many workers are neede to till 5975 sq.m. of land in 13 days. workers Answer:_______________ |
| 1) If 2119 sq.m. of land can be tilled by 16 workers in 10 days , how many workers are neede to till 5203 sq.m. of land in 12 days. Answer: 33 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2119 to 5203.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 10 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.4554034922133 x 0.83333333333333 x 16 = 33 workers |
| 2) If 2430 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 4320 sq.m. of land in 12 days. Answer: 23 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2430 to 4320.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 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 1.7777777777778 x 0.75 x 17 = 23 workers |
| 3) If 2821 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5579 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 2821 to 5579.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 17 = 1.9776674937965 x 0.35714285714286 x 17 = 12 workers |
| 4) If 2019 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 5172 sq.m. of land in 14 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2019 to 5172.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 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.5616641901932 x 0.42857142857143 x 20 = 22 workers |
| 5) If 2681 sq.m. of land can be tilled by 19 workers in 6 days , how many workers are neede to till 4679 sq.m. of land in 12 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2681 to 4679.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 19 = 1.7452443118239 x 0.5 x 19 = 17 workers |
| 6) If 2235 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 4603 sq.m. of land in 12 days. Answer: 31 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2235 to 4603.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 10 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.0595078299776 x 0.83333333333333 x 18 = 31 workers |
| 7) If 2592 sq.m. of land can be tilled by 19 workers in 8 days , how many workers are neede to till 4225 sq.m. of land in 15 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2592 to 4225.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 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.6300154320988 x 0.53333333333333 x 19 = 17 workers |
| 8) If 2708 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 4706 sq.m. of land in 13 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2708 to 4706.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 18 = 1.7378138847858 x 0.61538461538462 x 18 = 19 workers |
| 9) If 2784 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5614 sq.m. of land in 14 days. Answer: 18 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2784 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 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.0165229885057 x 0.57142857142857 x 16 = 18 workers |
| 10) If 2999 sq.m. of land can be tilled by 19 workers in 6 days , how many workers are neede to till 5975 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 2999 to 5975.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 19 = 1.9923307769256 x 0.46153846153846 x 19 = 17 workers |