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) At a fun fair, 3 toy cars - A, B, and C are made to move round a circular track. Toy Car A passes the starting line once every 2 seconds, while Toy Car B passes the starting line once every 11 seconds and Toy Car C passes the starting line once every 4 seconds. If the 3 toy cars pass the starting line at the same time now, how many seconds later will the 3 toy cars next cross the starting line together again seconds Answer:_______________ |
| 2) A red light bulb flashes once every 11 seconds, while a blue light bulb flashes once every 4 seconds and a green light bulb flashes once every 8 seconds. If the 3 light bulbs flash at the same time now, how many seconds later will they next flash together again seconds Answer:_______________ |
| 3) Ponnalagu and Poongodi are jogging in a park. Ponnalagu takes 2 minutes to jog round the park once, while Poongodi takes 11 minutes. If they both set off at the same time from the same point, how many minutes later will they meet each other again minutes Answer:_______________ |
| 4) The number of cookies in a container can be put into packets of 2, 7 or 4 with no leftover. What is the least possible number of cookies in the container
Answer:_______________ |
| 5) Panimalar, Selvanayaki and Haritha visit the library regularly. Answer:_______________ |
| 6) Traffic Light A flashes once every 4 seconds, while Traffic Light B flashes once every 9 seconds and Traffic Light C flashes once every 8 seconds. If the 3 traffic lights flash at the same time now, how many seconds later will they next flash together again seconds Answer:_______________ |
| 7) A signboard was decorated with flashing bulbs of 3 colours. The blue bulbs flashed every 4 minutes. The red bulbs flashed every 11 minutes. The orange bulbs flashed every 8 minutes. If they flash together at the same time now, how many minutes later would they flash together again minutes Answer:_______________ |
| 8) At a fun fair, 3 toy cars - A, B, and C are made to move round a circular track. Toy Car A passes the starting line once every 2 seconds, while Toy Car B passes the starting line once every 9 seconds and Toy Car C passes the starting line once every 4 seconds. If the 3 toy cars pass the starting line at the same time now, how many seconds later will the 3 toy cars next cross the starting line together again seconds Answer:_______________ |
| 9) A red light bulb flashes once every 5 seconds, while a blue light bulb flashes once every 2 seconds and a green light bulb flashes once every 4 seconds. If the 3 light bulbs flash at the same time now, how many seconds later will they next flash together again seconds Answer:_______________ |
| 10) Poongodi and Tamilselvi are jogging in a park. Poongodi takes 4 minutes to jog round the park once, while Tamilselvi takes 5 minutes. If they both set off at the same time from the same point, how many minutes later will they meet each other again minutes Answer:_______________ |
| 1) At a fun fair, 3 toy cars - A, B, and C are made to move round a circular track. Toy Car A passes the starting line once every 2 seconds, while Toy Car B passes the starting line once every 11 seconds and Toy Car C passes the starting line once every 4 seconds. If the 3 toy cars pass the starting line at the same time now, how many seconds later will the 3 toy cars next cross the starting line together again Answer: 44 seconds SOLUTION 1 : Step 1: Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, ... The 3 toy cars will cross the starting line together again 44 seconds later.
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| 2) A red light bulb flashes once every 11 seconds, while a blue light bulb flashes once every 4 seconds and a green light bulb flashes once every 8 seconds. If the 3 light bulbs flash at the same time now, how many seconds later will they next flash together again Answer: 88 seconds SOLUTION 1 : Step 1: Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, ... They will flash together again 88 seconds later. |
| 3) Ponnalagu and Poongodi are jogging in a park. Ponnalagu takes 2 minutes to jog round the park once, while Poongodi takes 11 minutes. If they both set off at the same time from the same point, how many minutes later will they meet each other again Answer: 22 minutes SOLUTION 1 : Step 1: Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, ... |
| 4) The number of cookies in a container can be put into packets of 2, 7 or 4 with no leftover. What is the least possible number of cookies in the container Answer: 28 SOLUTION 1 : Step 1: Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, ... The least possible number of cookies in the container is 28. |
| 5) Panimalar, Selvanayaki and Haritha visit the library regularly. SOLUTION 1 : Step 1: Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, ... They will meet again 24 days later. |
| 6) Traffic Light A flashes once every 4 seconds, while Traffic Light B flashes once every 9 seconds and Traffic Light C flashes once every 8 seconds. If the 3 traffic lights flash at the same time now, how many seconds later will they next flash together again Answer: 72 seconds SOLUTION 1 : Step 1: Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, ... They will flash together again 72 seconds later. |
| 7) A signboard was decorated with flashing bulbs of 3 colours. The blue bulbs flashed every 4 minutes. The red bulbs flashed every 11 minutes. The orange bulbs flashed every 8 minutes. If they flash together at the same time now, how many minutes later would they flash together again Answer: 88 minutes SOLUTION 1 : Step 1: Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, ... They will flash together again 88 minutes later. |
| 8) At a fun fair, 3 toy cars - A, B, and C are made to move round a circular track. Toy Car A passes the starting line once every 2 seconds, while Toy Car B passes the starting line once every 9 seconds and Toy Car C passes the starting line once every 4 seconds. If the 3 toy cars pass the starting line at the same time now, how many seconds later will the 3 toy cars next cross the starting line together again Answer: 36 seconds SOLUTION 1 : Step 1: Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, ... The 3 toy cars will cross the starting line together again 36 seconds later.
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| 9) A red light bulb flashes once every 5 seconds, while a blue light bulb flashes once every 2 seconds and a green light bulb flashes once every 4 seconds. If the 3 light bulbs flash at the same time now, how many seconds later will they next flash together again Answer: 20 seconds SOLUTION 1 : Step 1: Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, ... They will flash together again 20 seconds later. |
| 10) Poongodi and Tamilselvi are jogging in a park. Poongodi takes 4 minutes to jog round the park once, while Tamilselvi takes 5 minutes. If they both set off at the same time from the same point, how many minutes later will they meet each other again Answer: 20 minutes SOLUTION 1 : Step 1: Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, ... |