Name: Date:

**Question 1:**

Oscar has 2 planks of wood, 735cm long and 525cm 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?

**Question 2:**

Debbie has 3 ribbons of different colours and lengths; a yellow ribbon 147cm long, an orange ribbon 189cm long and a red ribbon 441cm 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:**

Jack is decorating a rectangular room with square floor tiles. The room measures 405cm by 150cm. Jack is using identical square floor tiles to cover the entire floor exactly. What is the largest size square tile he can use?

**Question 4:**

In a busy airport, aeroplanes from EZPlanes Airways depart every 140 minutes whilst aeroplanes from Bryanair Airlines depart every 210 minutes. If both airlines have aeroplanes departing at 07:50 when is the next time they will depart from the airport together again?

**Question 5:**

Noah, Oliver and Olivia are rehearsing music routines. Noah takes 198 seconds to finish his drum routine, Oliver takes 132 seconds to finish his bass routine and Olivia 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:**105cm

**Question 2:**21cm

**Question 3:**Tiles of length 15 cm

**Question 4:**LCM = 420 => 14:50

**Question 5:**792 seconds

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