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 2178 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 5107 sq.m. of land in 15 days. workers Answer:_______________ |
| 2) If 2119 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 4842 sq.m. of land in 12 days. workers Answer:_______________ |
| 3) If 2628 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4276 sq.m. of land in 15 days. workers Answer:_______________ |
| 4) If 2981 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 4098 sq.m. of land in 13 days. workers Answer:_______________ |
| 5) If 2341 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 5630 sq.m. of land in 15 days. workers Answer:_______________ |
| 6) If 2856 sq.m. of land can be tilled by 19 workers in 7 days , how many workers are neede to till 4464 sq.m. of land in 15 days. workers Answer:_______________ |
| 7) If 2161 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 5399 sq.m. of land in 15 days. workers Answer:_______________ |
| 8) If 2195 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4767 sq.m. of land in 14 days. workers Answer:_______________ |
| 9) If 2308 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5022 sq.m. of land in 14 days. workers Answer:_______________ |
| 10) If 2793 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4348 sq.m. of land in 15 days. workers Answer:_______________ |
| 1) If 2178 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 5107 sq.m. of land in 15 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2178 to 5107.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 7 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.3448117539027 x 0.46666666666667 x 20 = 22 workers |
| 2) If 2119 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 4842 sq.m. of land in 12 days. Answer: 21 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2119 to 4842.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 18 = 2.285040113261 x 0.5 x 18 = 21 workers |
| 3) If 2628 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4276 sq.m. of land in 15 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2628 to 4276.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 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.6270928462709 x 0.66666666666667 x 20 = 22 workers |
| 4) If 2981 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 4098 sq.m. of land in 13 days. Answer: 11 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2981 to 4098.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 = 1.3747064743375 x 0.46153846153846 x 17 = 11 workers |
| 5) If 2341 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 5630 sq.m. of land in 15 days. Answer: 29 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2341 to 5630.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 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.4049551473729 x 0.66666666666667 x 18 = 29 workers |
| 6) If 2856 sq.m. of land can be tilled by 19 workers in 7 days , how many workers are neede to till 4464 sq.m. of land in 15 days. Answer: 14 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2856 to 4464.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 7 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.563025210084 x 0.46666666666667 x 19 = 14 workers |
| 7) If 2161 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 5399 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 2161 to 5399.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 17 = 2.498380379454 x 0.4 x 17 = 17 workers |
| 8) If 2195 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 4767 sq.m. of land in 14 days. Answer: 31 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2195 to 4767.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 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.1717539863326 x 0.71428571428571 x 20 = 31 workers |
| 9) If 2308 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5022 sq.m. of land in 14 days. Answer: 13 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2308 to 5022.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 = 2.1759098786828 x 0.35714285714286 x 17 = 13 workers |
| 10) If 2793 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4348 sq.m. of land in 15 days. Answer: 10 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2793 to 4348.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 = 1.5567490153956 x 0.33333333333333 x 20 = 10 workers |