Form I math October 30, 2013 LCM GCF Divisibility Test Name _______________________________ 1)
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6) List the first six prime numbers. (2 marks) Out of the infinitely many prime numbers, how many are even? (1 mark) List the first 4 multiples of the number 12. (1 mark) List all of the factors of 72 (2 marks) List all of the prime factors of 2310 (2 marks) Indicate if the number 9240 is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 or 12? (2 marks)
7) Find the GCF of 630 and 420. (3 marks)
8) Find the LCM of 360 and 540. (3 marks)
9) Ms. Robinson won a jar of 18480 Jelly-­‐beans. She has a class with nine students and another class with 12 students. She has decided to give the jar of jellybeans to a class, provided that the 18480 jellybeans can be evenly divided amongst the students of that class. Which class should get the Jellybeans? Please justify your decision by referring to your divisibility rules. (3 marks) 10) Halitosis week has started at Trafalgar! Starting Monday morning at 6:00 AM in the staff lounge, various “teacher delicacies” are served on a regular basis. Every 20 minutes onions are eaten! Every 30 minutes, garlic cloves are served, Every 45 minutes slices of Vieux Boulogne (the stinkiest cheese known to humanity) are consumed. After how many minutes are all three odoriferous treats served at the same time? (4 marks) 11) The evil Ms. Loupelle has decided to tile the floor of her “monster” laboratory in high impact, stain resistant ceramic tiles. The floor measures 540 cm by 720 cm. What is the largest square tile that can be used to cover the floor of the much feared “monster” laboratory? (4 marks) 12) Zoe needs to make a speech at the Model United Nations on the Prime Importance of Prime Numbers. She is going to talk about the difference between prime and composite numbers. Help Zoe with her research by explaining what a prime number is, and what a composite number is. (2 marks)