MYP: Application of HCF and LCM

Answer by looking at the picture.

The HCF of 60 and 84 is _______.

• 420

• 7

• 12

• 2

Answer by looking at the picture.

The HCF of 1050 and 1540 is ___________.

• 14

• 70

• 10

• 7

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

• 14 days
• 24 days
• 48 days

• 44 days

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

• 16th customer
• 150th customer
• 300th customer
• 180th customer

Maya had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

• 4
• 2
• 48
• 8

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller.  Which caller will be the first to win both prizes?

• 5
• 2
• 10
• 120

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

Two women running a marathon took a sip of water at the same time 72 minutes after they started the race. If the first woman took a sip of water every 9 minutes, how often did the other woman took a sip of water? 

The HCF of 2 numbers is 2 x 3 x 5

What could the two numbers be?

Support your answer with relevant working.

The prime factorisation of two numbers is given to you. Calculate the HCF and LCM. Show your working on the picture itself.