Problem solving with factors, multiples, squares and cubes

12 questions

1. What does LCM stand for?
2. Sam makes two towers of blocks. One uses blocks that are 15 cm high, the other has blocks that are 12 cm high. What height will the towers first be the same height? Is this an LCM or HCF problem?
3. Sam makes two towers of blocks. One uses blocks that are each 15 cm high, the other has blocks that are 12 cm high. What height will the towers first be the same height?
4. Aisha has 20 white flowers, 45 red flowers and 30 yellow flowers. Aisha wants to make identical bunches. What is the greatest number of bunches she can make?
5. Laura goes to a club every 6 days, Andeep goes to the same club every 10 days and Lucas goes every 15 days. They all went today. How many days will it be until they all go on the same day again?
6. Laura goes to a club every 6 days, Andeep goes to the same club every 10 days and Lucas goes every 15 days. They all went today. How many days will it be until they all go on the same day again?
7. The product of two repeated integers is called a __________.
8. True or false? All integers are square numbers.
9. What are the dimensions of the largest square you can make with 90 counters?
10. Which of the following is both a square number and a cube number?
11. Which of the following is not written as a product of prime factors?
12. Which of the following are a correct answer to a string of consecutive numbers that satisfies: even, prime, composite, square

License: OGL