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Download Free Singapore Math Worksheet on grade 4 whole numbers. This worksheet is based on the Singapore Math Curriculum. For more free Singapore Math Worksheets go to http://www.kungfu-math.com/curriculum
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http://www.kungfu-math.com/worksheets/grade4-whole-numbers.html[26/1/2015 5:40:32 PM]
Kungfu Math
Name:________________________ Class:_______ Date:________
Scroll: Whole Numbers >> Other Heuristics >> ps (529)
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) The number of cookies in a container can be put into packets of 4, 9 or 8 with no leftover.
What is the least possible number of cookies in the container?
Answer:_______________
2) 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:_______________ minutes
3) A red light bulb flashes once every 3 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
http://www.kungfu-math.com/worksheets/grade4-whole-numbers.html[26/1/2015 5:40:32 PM]
flash together again?
Answer:_______________ seconds
4) Crystal, Maria and Angie visit the library regularly. Crystal visits the library every 4 days. Maria visits every 7 days while Angie visits every 8 days. If they meet one another today, how many days later will they meet again?
Answer:_______________
5) 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 4 seconds, while Toy Car B passes the starting line once every 3 seconds and Toy Car C passes the starting line once every 8 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:_______________ seconds
6) Traffic Light A flashes once every 4 seconds while Traffic Light B flashes once every 5 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:_______________ seconds
7) Jill and Athena are jogging in a park. Jill takes 4 minutes to jog round the park
http://www.kungfu-math.com/worksheets/grade4-whole-numbers.html[26/1/2015 5:40:32 PM]
once, while Athena takes 7 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:_______________ minutes
8) The number of cookies in a container can be put into packets of 4, 5 or 8 with no leftover.
What is the least possible number of cookies in the container?
Answer:_______________
9) A signboard was decorated with flashing bulbs of 3 colours. The blue bulbs flashed every 2 minutes. The red bulbs flashed every 9 minutes. The orange bulbs flashed every 4 minutes. If they flash together at the same time now, how many minutes later would they flash together again?
Answer:_______________ minutes
10) A red light bulb flashes once every 9 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:_______________ seconds
http://www.kungfu-math.com/worksheets/grade4-whole-numbers.html[26/1/2015 5:40:32 PM]
1) The number of cookies in a container can be put into packets of 4, 9 or 8 with no leftover.
What is the least possible number of cookies in the container?
Answer : 72
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, ... Step 2: Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, ... Step 3: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ..
The least possible number of cookies in the container is 72.
2) 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, ... Step 2: Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, ... Step 3: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ..
They would flash together again 88 minutes later.
3) A red light bulb flashes once every 3 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 : 12 seconds
SOLUTION 1 :
Step 1: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, ... Step 2: Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ... Step 3: Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, ..
http://www.kungfu-math.com/worksheets/grade4-whole-numbers.html[26/1/2015 5:40:32 PM]
They will flash together again 12 seconds later.
4) Crystal, Maria and Angie visit the library regularly. Crystal visits the library every 4 days. Maria visits every 7 days while Angie visits every 8 days. If they meet one another today, how many days later will they meet again? Answer : 56
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, ... Step 2: Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, ... Step 3: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ..
They will meet again 56 days later.
5) 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 4 seconds, while Toy Car B passes the starting line once every 3 seconds and Toy Car C passes the starting line once every 8 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 : 24 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, ... Step 2: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ... Step 3: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ..
The 3 toy cars will cross the starting line together again 24 seconds later.
6) Traffic Light A flashes once every 4 seconds while Traffic Light B flashes once every 5 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 : 40 seconds
SOLUTION 1 :
http://www.kungfu-math.com/worksheets/grade4-whole-numbers.html[26/1/2015 5:40:32 PM]
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, ... Step 2: Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60,65, 70, 75, 80, 85 ... Step 3: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ..
They will flash together again 40 seconds later.
7) Jill and Athena are jogging in a park. Jill takes 4 minutes to jog round the park once, while Athena takes 7 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 : 28 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, ... Step 2: Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, ...
They will meet again 28 minutes later.
8) The number of cookies in a container can be put into packets of 4, 5 or 8 with no leftover.
What is the least possible number of cookies in the container?
Answer : 40
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, ... Step 2: Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ... Step 3: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ..
The least possible number of cookies in the container is 40.
9) A signboard was decorated with flashing bulbs of 3 colours. The blue bulbs flashed every 2 minutes. The red bulbs flashed every 9 minutes. The orange bulbs flashed every 4 minutes. If they flash together at the same time now, how many minutes later would they flash together again?
Answer : 36 minutes
http://www.kungfu-math.com/worksheets/grade4-whole-numbers.html[26/1/2015 5:40:32 PM]
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, ... Step 2: Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, ... Step 3: Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, ..
They would flash together again 36 minutes later.
10) A red light bulb flashes once every 9 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 : 72 seconds
SOLUTION 1 :
Step 1: Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, ... Step 2: Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ... Step 3: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ..
They will flash together again 72 seconds later.
