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) There were 2 as many male passengers as female passengers on board a train. After 30 male passengers alighted at Orchard Station and 30 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 2) There were as many male passengers as female passengers on board a train. After 35 male passengers alighted at Orchard Station and 35 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 3) There were as many male passengers as female passengers on board a train. After 15 male passengers alighted at Orchard Station and 15 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 4) There were 2 as many male passengers as female passengers on board a train. After 45 male passengers alighted at Orchard Station and 45 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 5) There were as many male passengers as female passengers on board a train. After 21 male passengers alighted at Orchard Station and 21 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 6) There were 2 as many male passengers as female passengers on board a train. After 55 male passengers alighted at Orchard Station and 55 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 7) There were as many male passengers as female passengers on board a train. After 25 male passengers alighted at Orchard Station and 25 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 8) There were as many male passengers as female passengers on board a train. After 55 male passengers alighted at Orchard Station and 55 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 9) There were 2 as many male passengers as female passengers on board a train. After 49 male passengers alighted at Orchard Station and 49 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 10) There were as many male passengers as female passengers on board a train. After 15 male passengers alighted at Orchard Station and 15 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first
Answer:_______________ |
| 1) There were 2 as many male passengers as female passengers on board a train. After 30 male passengers alighted at Orchard Station and 30 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 324 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 54 - 49 = 5 units 5 units → 30 1 unit → 30 ÷ 5 = 6 54 units → 54 x 6 = 324 female passengers at first |
| 2) There were as many male passengers as female passengers on board a train. After 35 male passengers alighted at Orchard Station and 35 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 98 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 14 - 9 = 5 units 5 units → 35 1 unit → 35 ÷ 5 = 7 14 units → 14 x 7 = 98 female passengers at first |
| 3) There were as many male passengers as female passengers on board a train. After 15 male passengers alighted at Orchard Station and 15 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 180 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 36 - 33 = 3 units 3 units → 15 1 unit → 15 ÷ 3 = 5 36 units → 36 x 5 = 180 female passengers at first |
| 4) There were 2 as many male passengers as female passengers on board a train. After 45 male passengers alighted at Orchard Station and 45 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 693 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 77 - 72 = 5 units 5 units → 45 1 unit → 45 ÷ 5 = 9 77 units → 77 x 9 = 693 female passengers at first |
| 5) There were as many male passengers as female passengers on board a train. After 21 male passengers alighted at Orchard Station and 21 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 147 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 21 - 18 = 3 units 3 units → 21 1 unit → 21 ÷ 3 = 7 21 units → 21 x 7 = 147 female passengers at first |
| 6) There were 2 as many male passengers as female passengers on board a train. After 55 male passengers alighted at Orchard Station and 55 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 594 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 54 - 49 = 5 units 5 units → 55 1 unit → 55 ÷ 5 = 11 54 units → 54 x 11 = 594 female passengers at first |
| 7) There were as many male passengers as female passengers on board a train. After 25 male passengers alighted at Orchard Station and 25 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 70 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 14 - 9 = 5 units 5 units → 25 1 unit → 25 ÷ 5 = 5 14 units → 14 x 5 = 70 female passengers at first |
| 8) There were as many male passengers as female passengers on board a train. After 55 male passengers alighted at Orchard Station and 55 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 297 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 27 - 22 = 5 units 5 units → 55 1 unit → 55 ÷ 5 = 11 27 units → 27 x 11 = 297 female passengers at first |
| 9) There were 2 as many male passengers as female passengers on board a train. After 49 male passengers alighted at Orchard Station and 49 female passengers alighted at Sommerset Station, there were 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 441 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 63 - 56 = 7 units 7 units → 49 1 unit → 49 ÷ 7 = 7 63 units → 63 x 7 = 441 female passengers at first |
| 10) There were as many male passengers as female passengers on board a train. After 15 male passengers alighted at Orchard Station and 15 female passengers alighted at Sommerset Station, there were as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 105 SOLUTION 1 : Since the number of male and female passengers who alighted from the train is the same, there is a constant difference. Before
After
Therefore, Decrease in female passengers: 21 - 18 = 3 units 3 units → 15 1 unit → 15 ÷ 3 = 5 21 units → 21 x 5 = 105 female passengers at first |