Name: Date:

**Question 1:**

Charlie has 2 lengths of wire, 220cm long and 550cm 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 2:**

Emily has 3 ribbons of different colours and lengths; a yellow ribbon 441cm long, an orange ribbon 189cm long and a red ribbon 567cm 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 3:**

A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give away a free drink to every 60th customer, a free bag of popcorn to every 120th customer and a free cinema ticket to every 270th customer. Which lucky customer will be the first to receive all 3 items?

**Question 4:**

Jack is decorating a square room with rectangular floor tiles. Each floor tile measures 240cm by 300cm. Jack uses the same floor tiles to cover the entire floor exactly. What is the smallest possible size of the square room?

**Question 5:**

Alfie is organising a party and needs to buy napkins and paper plates. Napkins come in packs of 63 and paper plates come in packs of 147. 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?

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# Answers

**Question 1:**110cm

**Question 2:**63cm

**Question 3:**The 1080th customer

**Question 4:**1200 cm in length and width

**Question 5:**LCM = 441 => 7 packs of napkins and 3 packs of paper plates

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