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UNIT 03 November
1. The soccer team and the football team are sharing the field for their practices
today. The soccer team meets for practice every 6 days, and the football team
meets every 8 days. How many days from now will they have to share the field
again?
2. Lynn is serving vegetables at a soup kitchen. She has 20 carrot sticks and 12 baby
potatoes that she wants to divide evenly, with no food left over. What is the
greatest number of plates Lynn can prepare? How many carrot sticks and how
many baby potatoes will each plate have?
3. At a local bakery, all loaves of wheat bread come with 12 slices, while all loaves
of rye bread come with 10 slices. If Nidhi bought the same number of slices of
each type of bread, what is the smallest number of slices of each type that Nidhi
could have bought?
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.3.7.1
UNIT 03 November
4. An English teacher would like to divide 12 boys and 15 girls into groups, each
with the same combination of boys and girls and nobody left out. What is the
greatest number of groups that can be formed? How many boys and girls will
each group have?
5. Enrique owns a business and assigns two of his employees their shifts. He
assigns the first employee shifts in blocks of 12 hours, and he assigns the second
worker shifts in blocks of 8 hours. If both workers must receive the same
number of hours, what is the minimum number of hours each must be assigned?
6. Bridget is making identical balloon arrangements for a party. She has 32 green
balloons, 24 yellow balloons and 16 blue balloons. She wants each arrangement
to have the same number of each colour. What is the greatest number of
arrangements that she can make if every balloon is used? How many green
balloons, yellow balloons and blue balloons will each arrangement have?
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.3.7.2

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1 ESO - Unit 03 - Exercises 3.7 - HCF and LCM Problems

  • 1. UNIT 03 November 1. The soccer team and the football team are sharing the field for their practices today. The soccer team meets for practice every 6 days, and the football team meets every 8 days. How many days from now will they have to share the field again? 2. Lynn is serving vegetables at a soup kitchen. She has 20 carrot sticks and 12 baby potatoes that she wants to divide evenly, with no food left over. What is the greatest number of plates Lynn can prepare? How many carrot sticks and how many baby potatoes will each plate have? 3. At a local bakery, all loaves of wheat bread come with 12 slices, while all loaves of rye bread come with 10 slices. If Nidhi bought the same number of slices of each type of bread, what is the smallest number of slices of each type that Nidhi could have bought? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.3.7.1
  • 2. UNIT 03 November 4. An English teacher would like to divide 12 boys and 15 girls into groups, each with the same combination of boys and girls and nobody left out. What is the greatest number of groups that can be formed? How many boys and girls will each group have? 5. Enrique owns a business and assigns two of his employees their shifts. He assigns the first employee shifts in blocks of 12 hours, and he assigns the second worker shifts in blocks of 8 hours. If both workers must receive the same number of hours, what is the minimum number of hours each must be assigned? 6. Bridget is making identical balloon arrangements for a party. She has 32 green balloons, 24 yellow balloons and 16 blue balloons. She wants each arrangement to have the same number of each colour. What is the greatest number of arrangements that she can make if every balloon is used? How many green balloons, yellow balloons and blue balloons will each arrangement have? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.3.7.2