Name: Date:

**Question 1:**

Noah is decorating a rectangular room with square floor tiles. The room measures 594cm by 726cm. Noah is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

**Question 2:**

Alfie has 2 lengths of wire, 900cm long and 360cm 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 3:**

Harry is organising a party and needs to buy napkins and paper plates. Napkins come in packs of 264 and paper plates come in packs of 132. 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 4:**

A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give away a free drink to every 28th customer, a free bag of popcorn to every 196th customer and a free cinema ticket to every 224th customer. Which lucky customer will be the first to receive all 3 items?

**Question 5:**

Emily has 28 lemon flavoured sweets, Amelia has 196 orange flavoured sweets and Elaine has 56 peach flavoured sweets. They want to divide the sweets into trays of equal quantities, with no remainder. Each tray can only contain 1 flavour of sweets. What is the greatest number of sweets in each tray?

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# Answers

**Question 1:**Tiles of length 66 cm

**Question 2:**180cm

**Question 3:**LCM = 264 => 1 packs of napkins and 2 packs of paper plates

**Question 4:**The 1568th customer

**Question 5:**28 sweets

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