Name: Date:

**Question 1:**

Alfie is decorating a rectangular room with square floor tiles. The room measures 405cm by 225cm. Alfie is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

**Question 2:**

Elaine has 810 lemon flavoured sweets, Becky has 60 orange flavoured sweets and Amelia has 90 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?

**Question 3:**

Jacob has 2 lengths of wire, 700cm long and 560cm 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:**

In a busy airport, aeroplanes from EZPlanes Airways depart every 112 minutes whilst aeroplanes from Bryanair Airlines depart every 28 minutes. If both airlines have aeroplanes departing at 05:10 when is the next time they will depart from the airport together again?

**Question 5:**

Oliver, Harry and Amelia are rehearsing music routines. Oliver takes 132 seconds to finish his drum routine, Harry takes 198 seconds to finish his bass routine and Amelia completes her piano routine in 264 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:**Tiles of length 45 cm

**Question 2:**30 sweets

**Question 3:**140cm

**Question 4:**LCM = 112 => 07:02

**Question 5:**792 seconds

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