Name: Date:

**Question 1:**

Jack, Jacob and Elaine are rehearsing music routines. Jack takes 126 seconds to finish his drum routine, Jacob takes 84 seconds to finish his bass routine and Elaine completes her piano routine in 168 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?

**Question 2:**

Olivia has 3 ribbons of different colours and lengths; a yellow ribbon 675cm long, an orange ribbon 135cm long and a red ribbon 375cm 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:**

Oliver is decorating a rectangular room with square floor tiles. The room measures 264cm by 396cm. 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:**

Alfie has 2 planks of wood, 189cm long and 147cm 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 5:**

In a busy airport, aeroplanes from EZPlanes Airways depart every 189 minutes whilst aeroplanes from Bryanair Airlines depart every 126 minutes. If both airlines have aeroplanes departing at 07:10 when is the next time they will depart from the airport together again?

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# Answers

**Question 1:**504 seconds

**Question 2:**15cm

**Question 3:**Tiles of length 132 cm

**Question 4:**21cm

**Question 5:**LCM = 378 => 13:28

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