Name: Date:

**Question 1:**

Oliver is decorating a rectangular room with square floor tiles. The room measures 675cm by 405cm. Oliver is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

**Question 2:**

Noah is organising a party and needs to buy napkins and paper plates. Napkins come in packs of 84 and paper plates come in packs of 294. 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:**

Alfie has 2 lengths of wire, 792cm long and 528cm 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 4:**

A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give away a free drink to every 14th customer, a free bag of popcorn to every 56th customer and a free cinema ticket to every 196th customer. Which lucky customer will be the first to receive all 3 items?

**Question 5:**

Alyssa has 891 lemon flavoured sweets, Debbie has 297 orange flavoured sweets and Amelia has 363 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 135 cm

**Question 2:**LCM = 588 => 7 packs of napkins and 2 packs of paper plates

**Question 3:**264cm

**Question 4:**The 392nd customer

**Question 5:**33 sweets

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