Name: Date:

**Question 1:**

Elaine has 3 ribbons of different colours and lengths; a yellow ribbon 726cm long, an orange ribbon 792cm long and a red ribbon 132cm 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:**

In a busy airport, aeroplanes from EZPlanes Airways depart every 240 minutes whilst aeroplanes from Bryanair Airlines depart every 90 minutes. If both airlines have aeroplanes departing at 07:40 when is the next time they will depart from the airport together again?

**Question 3:**

Jacob has 2 lengths of wire, 245cm long and 875cm 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:**

Harry is decorating a rectangular room with square floor tiles. The room measures 891cm by 198cm. Harry is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

**Question 5:**

Jack, Oliver and Olivia are rehearsing music routines. Jack takes 45 seconds to finish his drum routine, Oliver takes 75 seconds to finish his bass routine and Olivia completes her piano routine in 135 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:**66cm

**Question 2:**LCM = 720 => 19:40

**Question 3:**35cm

**Question 4:**Tiles of length 99 cm

**Question 5:**675 seconds

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