Name: Date:

**Question 1:**

Amelia has 3 ribbons of different colours and lengths; a yellow ribbon 220cm long, an orange ribbon 440cm long and a red ribbon 880cm 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 2:**

Jack is decorating a rectangular room with square floor tiles. The room measures 792cm by 726cm. Jack is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

**Question 3:**

In a busy airport, aeroplanes from EZPlanes Airways depart every 176 minutes whilst aeroplanes from Bryanair Airlines depart every 44 minutes. If both airlines have aeroplanes departing at 08:50 when is the next time they will depart from the airport together again?

**Question 4:**

A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give away a free drink to every 42nd customer, a free bag of popcorn to every 63rd customer and a free cinema ticket to every 189th customer. Which lucky customer will be the first to receive all 3 items?

**Question 5:**

Harry has 2 planks of wood, 270cm long and 600cm long. He wants to saw them into smaller pieces of wood for his crafts project. They must all be of equal length, with no wood wasted. What is the greatest length, in cm, that he can saw the planks into?

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# Answers

**Question 1:**220cm

**Question 2:**Tiles of length 66 cm

**Question 3:**LCM = 176 => 11:46

**Question 4:**The 378th customer

**Question 5:**30cm

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