Name: Date:

**Question 1:**

Alyssa has 3 ribbons of different colours and lengths; a yellow ribbon 75cm long, an orange ribbon 225cm long and a red ribbon 405cm long. She wants to cut them up into smaller ribbons to use in a wedding decoration. They must all be the same size and there must be nothing left over. What is the greatest length, in cm, that she can make them?

**Question 2:**

Jack is organising a party and needs to buy napkins and paper plates. Napkins come in packs of 245 and paper plates come in packs of 70. He needs exactly the same number of napkins and paper plates, with none left over. What is the minimum of each pack he must buy?

**Question 3:**

A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give away a free drink to every 42nd customer, a free bag of popcorn to every 28th customer and a free cinema ticket to every 112th customer. Which lucky customer will be the first to receive all 3 items?

**Question 4:**

Oliver has 2 lengths of wire, 189cm long and 126cm long. He wants to cut them into smaller lengths of wire of equal length, with no wire left over. What is the greatest length, in cm, that he can make them?

**Question 5:**

Charlie is decorating a rectangular room with square floor tiles. The room measures 891cm by 594cm. Charlie is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

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# Answers

**Question 1:**15cm

**Question 2:**LCM = 490 => 2 packs of napkins and 7 packs of paper plates

**Question 3:**The 336th customer

**Question 4:**63cm

**Question 5:**Tiles of length 297 cm

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