Year 10
Core
Year 10
Core

Applying LCM and HCF

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Lesson details

Key learning points

  1. In this lesson, we will answer problem solving questions involving determining the lowest common multiple and highest common factor of two integers. We will model solutions to a range of problems including worded questions.

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4 Questions

Q1.
Find 28 as the product of its prime factors.
An image in a quiz
A
B
C
Correct answer: D
Q2.
True or False, Number A and B are 28 and 42?
An image in a quiz
False
Correct answer: True
Q3.
What is the HCF of 28 and 42?
An image in a quiz
Correct answer: A
B
C
D
Q4.
What is the HCF of 48 and 72?
12
14
Correct answer: 24
32
Others

4 Questions

Q1.
Which number is missing from this prime factor tree?
An image in a quiz
16
Correct answer: 2
6
7
Q2.
There are 30 cups in a packet. There are 12 plates in a packet. Amir buys exactly the same number of cups and plates. What is the smallest number of each packet Amir can buy?
2 packets of cups and 12 packets of plates
2 packets of cups and 3 packets of plates
Correct answer: 2 packets of cups and 5 packets of plates
4 packets of cups and 3 packets of plates
Q3.
What is the smallest number of identical squares that will fit in this rectangle?
An image in a quiz
Correct answer: 36
360
3600
9
Q4.
The HCF of two numbers is 6. If the LCM is 42 find the two numbers. You could use a Venn diagram to help. I've started this one for you . . . can you finish it?
An image in a quiz
Correct answer: 42 and 6
7 and 42
84 and 42
84 and 6