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) Show that 8 : 9, 32 : 36are in proportion. 8:9 , 32:36 are in proportion. Answer:_______________ |
| 2) Show that 2 : 3, 8 : 12are in proportion. 2:3 , 8:12 are in proportion. Answer:_______________ |
| 3) Show that 3 : 3, 12 : 12are in proportion. 3:3 , 12:12 are in proportion. Answer:_______________ |
| 4) Show that 4 : 9, 16 : 36are in proportion. 4:9 , 16:36 are in proportion. Answer:_______________ |
| 5) Show that 6 : 5, 24 : 20are in proportion. 6:5 , 24:20 are in proportion. Answer:_______________ |
| 6) Show that 2 : 5, 8 : 20are in proportion. 2:5 , 8:20 are in proportion. Answer:_______________ |
| 7) Show that 7 : 5, 28 : 20are in proportion. 7:5 , 28:20 are in proportion. Answer:_______________ |
| 8) Show that 3 : 6, 12 : 24are in proportion. 3:6 , 12:24 are in proportion. Answer:_______________ |
| 9) Show that 8 : 6, 32 : 24are in proportion. 8:6 , 32:24 are in proportion. Answer:_______________ |
| 10) Show that 4 : 2, 16 : 8are in proportion. 4:2 , 16:8 are in proportion. Answer:_______________ |
| 1) Show that 8 : 9, 32 : 36are in proportion. Answer: 8:9 , 32:36 are in proportion. SOLUTION 1 : Given : 8 : 9 and 32 : 36 The product of the means = 9 x 32 = 288 The product of the extreams = 8 x 36 = 288 Therefore 8 : 9 , 32 : 36 are in proportion [The product of extreams =The product of means] (i.e.) 8:9 :: 32:36 |
| 2) Show that 2 : 3, 8 : 12are in proportion. Answer: 2:3 , 8:12 are in proportion. SOLUTION 1 : Given : 2 : 3 and 8 : 12 The product of the means = 3 x 8 = 24 The product of the extreams = 2 x 12 = 24 Therefore 2 : 3 , 8 : 12 are in proportion [The product of extreams =The product of means] (i.e.) 2:3 :: 8:12 |
| 3) Show that 3 : 3, 12 : 12are in proportion. Answer: 3:3 , 12:12 are in proportion. SOLUTION 1 : Given : 3 : 3 and 12 : 12 The product of the means = 3 x 12 = 36 The product of the extreams = 3 x 12 = 36 Therefore 3 : 3 , 12 : 12 are in proportion [The product of extreams =The product of means] (i.e.) 3:3 :: 12:12 |
| 4) Show that 4 : 9, 16 : 36are in proportion. Answer: 4:9 , 16:36 are in proportion. SOLUTION 1 : Given : 4 : 9 and 16 : 36 The product of the means = 9 x 16 = 144 The product of the extreams = 4 x 36 = 144 Therefore 4 : 9 , 16 : 36 are in proportion [The product of extreams =The product of means] (i.e.) 4:9 :: 16:36 |
| 5) Show that 6 : 5, 24 : 20are in proportion. Answer: 6:5 , 24:20 are in proportion. SOLUTION 1 : Given : 6 : 5 and 24 : 20 The product of the means = 5 x 24 = 120 The product of the extreams = 6 x 20 = 120 Therefore 6 : 5 , 24 : 20 are in proportion [The product of extreams =The product of means] (i.e.) 6:5 :: 24:20 |
| 6) Show that 2 : 5, 8 : 20are in proportion. Answer: 2:5 , 8:20 are in proportion. SOLUTION 1 : Given : 2 : 5 and 8 : 20 The product of the means = 5 x 8 = 40 The product of the extreams = 2 x 20 = 40 Therefore 2 : 5 , 8 : 20 are in proportion [The product of extreams =The product of means] (i.e.) 2:5 :: 8:20 |
| 7) Show that 7 : 5, 28 : 20are in proportion. Answer: 7:5 , 28:20 are in proportion. SOLUTION 1 : Given : 7 : 5 and 28 : 20 The product of the means = 5 x 28 = 140 The product of the extreams = 7 x 20 = 140 Therefore 7 : 5 , 28 : 20 are in proportion [The product of extreams =The product of means] (i.e.) 7:5 :: 28:20 |
| 8) Show that 3 : 6, 12 : 24are in proportion. Answer: 3:6 , 12:24 are in proportion. SOLUTION 1 : Given : 3 : 6 and 12 : 24 The product of the means = 6 x 12 = 72 The product of the extreams = 3 x 24 = 72 Therefore 3 : 6 , 12 : 24 are in proportion [The product of extreams =The product of means] (i.e.) 3:6 :: 12:24 |
| 9) Show that 8 : 6, 32 : 24are in proportion. Answer: 8:6 , 32:24 are in proportion. SOLUTION 1 : Given : 8 : 6 and 32 : 24 The product of the means = 6 x 32 = 192 The product of the extreams = 8 x 24 = 192 Therefore 8 : 6 , 32 : 24 are in proportion [The product of extreams =The product of means] (i.e.) 8:6 :: 32:24 |
| 10) Show that 4 : 2, 16 : 8are in proportion. Answer: 4:2 , 16:8 are in proportion. SOLUTION 1 : Given : 4 : 2 and 16 : 8 The product of the means = 2 x 16 = 32 The product of the extreams = 4 x 8 = 32 Therefore 4 : 2 , 16 : 8 are in proportion [The product of extreams =The product of means] (i.e.) 4:2 :: 16:8 |