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 as many male passengers as female passengers on board a train. After 50 male passengers alighted at Orchard Station and 50 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:_______________ |
| 2) There were as many male passengers as female passengers on board a train. After 18 male passengers alighted at Orchard Station and 18 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 24 male passengers alighted at Orchard Station and 24 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 40 male passengers alighted at Orchard Station and 40 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 2 as many male passengers as female passengers on board a train. After 56 male passengers alighted at Orchard Station and 56 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:_______________ |
| 6) There were as many male passengers as female passengers on board a train. After 63 male passengers alighted at Orchard Station and 63 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:_______________ |
| 7) 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:_______________ |
| 8) There were as many male passengers as female passengers on board a train. After 40 male passengers alighted at Orchard Station and 40 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 6 male passengers alighted at Orchard Station and 6 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 2 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 1 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 as many male passengers as female passengers on board a train. After 50 male passengers alighted at Orchard Station and 50 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: 270 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 → 50 1 unit → 50 ÷ 5 = 10 27 units → 27 x 10 = 270 female passengers at first |
| 2) There were as many male passengers as female passengers on board a train. After 18 male passengers alighted at Orchard Station and 18 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: 126 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 → 18 1 unit → 18 ÷ 3 = 6 21 units → 21 x 6 = 126 female passengers at first |
| 3) There were as many male passengers as female passengers on board a train. After 24 male passengers alighted at Orchard Station and 24 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: 168 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 → 24 1 unit → 24 ÷ 3 = 8 21 units → 21 x 8 = 168 female passengers at first |
| 4) There were 2 as many male passengers as female passengers on board a train. After 40 male passengers alighted at Orchard Station and 40 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: 432 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 → 40 1 unit → 40 ÷ 5 = 8 54 units → 54 x 8 = 432 female passengers at first |
| 5) There were 2 as many male passengers as female passengers on board a train. After 56 male passengers alighted at Orchard Station and 56 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: 504 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 → 56 1 unit → 56 ÷ 7 = 8 63 units → 63 x 8 = 504 female passengers at first |
| 6) There were as many male passengers as female passengers on board a train. After 63 male passengers alighted at Orchard Station and 63 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: 162 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: 18 - 11 = 7 units 7 units → 63 1 unit → 63 ÷ 7 = 9 18 units → 18 x 9 = 162 female passengers at first |
| 7) 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 |
| 8) There were as many male passengers as female passengers on board a train. After 40 male passengers alighted at Orchard Station and 40 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: 216 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 → 40 1 unit → 40 ÷ 5 = 8 27 units → 27 x 8 = 216 female passengers at first |
| 9) There were 2 as many male passengers as female passengers on board a train. After 6 male passengers alighted at Orchard Station and 6 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: 330 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: 55 - 54 = 1 units 1 units → 6 1 unit → 6 ÷ 1 = 6 55 units → 55 x 6 = 330 female passengers at first |
| 10) There were 2 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 1 as many male passengers as female passengers on the train. How many female passengers were there on board the train at first Answer: 270 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 → 25 1 unit → 25 ÷ 5 = 5 54 units → 54 x 5 = 270 female passengers at first |