Name: Date:

**Question 1:**

Jacob has 2 planks of wood, 396cm long and 264cm 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:**

Elaine has 490 lemon flavoured sweets, Alyssa has 280 orange flavoured sweets and Olivia has 140 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:**

Oscar is organising a party and needs to buy napkins and paper plates. Napkins come in packs of 196 and paper plates come in packs of 294. He needs exactly the same number of napkins and paper plates, with none left over. What is the minimum of each pack he must buy?

**Question 4:**

Noah, Harry and Olivia are rehearsing music routines. Noah takes 210 seconds to finish his drum routine, Harry takes 140 seconds to finish his bass routine and Olivia completes her piano routine in 280 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 5:**

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

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# Answers

**Question 1:**132cm

**Question 2:**70 sweets

**Question 3:**LCM = 588 => 3 packs of napkins and 2 packs of paper plates

**Question 4:**840 seconds

**Question 5:**Tiles of length 99 cm

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