Word Problem HCF and LCM

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, they will wait (a)   months before they can have both during the same appointment?

• 12

• 8

• 10

• 14

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again? .

• 36

• 24

• 18

• 30

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? The answer is

• 5

• 10

• 7

• 3

There are three ropes of different lengths: 48cm, 36cm, and 60cm. What is the maximum length of equal pieces that can be cut from all three ropes?

• 13

• 12

• 18

• 24

Tom waters his plants every 10 days, while Jerry waters his every 15 days. If they both water their plants today, in how many days will they both water their plants again?

• 60

• 45

• 30

• 15

A dentist recommends a check-up every 5 months and a cleaning every 8 months. If a patient has both today, how many months will they wait until they can have both at the same time again?

• 40

• 24

• 20

• 15

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. He wants to cut them up so that he has equal size planks to make using them easier. What size planks should he cut them into to avoid wasting any wood?

• 12

• 10

• 8

• 6

Tom and Claire both like to do short exercise that involve small breaks. Tom does a short burst of exercise every 2 minutes, and Claire does hers every 3 minutes. If they start doing their exercise at 9:00am, when do they both do their exercises again?

• 9:15

• 9:12

• 9:10

• 9:06

Lisa has a garden where she plants flowers every 6 weeks, while Mark plants his every 9 weeks. If they both plant flowers today, in how many weeks will they both plant flowers again?

• 54

• 36

• 18

• 27

A baker has two types of bread: one weighs 24kg and the other weighs 36kg. If he wants to make equal-sized loaves from both types, what is the maximum weight of each loaf?

• 6

• 12

• 18

• 24