Name: Date:

**Question 1:**

A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give away a free drink to every 84th customer, a free bag of popcorn to every 126th customer and a free cinema ticket to every 252nd customer. Which lucky customer will be the first to receive all 3 items?

**Question 2:**

Becky has 567 lemon flavoured sweets, Emily has 63 orange flavoured sweets and Elaine has 189 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:**

Charlie has 2 planks of wood, 352cm long and 88cm 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 4:**

Oliver is organising a party and needs to buy napkins and paper plates. Napkins come in packs of 245 and paper plates come in packs of 175. 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 5:**

Alfie is decorating a square room with rectangular floor tiles. Each floor tile measures 126cm by 84cm. Alfie uses the same floor tiles to cover the entire floor exactly. What is the smallest possible size of the square room?

© GCSEMathsWorksheets.com

Show Answers
Hide Answers

© GCSEMathsWorksheets.com

# Answers

**Question 1:**The 252nd customer

**Question 2:**63 sweets

**Question 3:**88cm

**Question 4:**LCM = 1225 => 5 packs of napkins and 7 packs of paper plates

**Question 5:**252 cm in length and width

© GCSEMathsWorksheets.com