Name: Date:

**Question 1:**

Jack is organising a party and needs to buy napkins and paper plates. Napkins come in packs of 168 and paper plates come in packs of 252. 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 2:**

Jacob has 2 lengths of wire, 441cm 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 3:**

Oliver is decorating a rectangular room with square floor tiles. The room measures 891cm by 363cm. Oliver is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

**Question 4:**

Emily has 3 ribbons of different colours and lengths; a yellow ribbon 294cm long, an orange ribbon 504cm long and a red ribbon 672cm 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 5:**

Charlie, Harry and Chloe are rehearsing music routines. Charlie takes 210 seconds to finish his drum routine, Harry takes 140 seconds to finish his bass routine and Chloe completes her piano routine in 280 seconds. They all start practising at the same time and keep repeating their routines when completed. How long would it take before they all finish at exactly the same time?

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# Answers

**Question 1:**LCM = 504 => 3 packs of napkins and 2 packs of paper plates

**Question 2:**63cm

**Question 3:**Tiles of length 33 cm

**Question 4:**42cm

**Question 5:**840 seconds

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