Higher June 2022 Paper 1 Q3
3
(a) Find the highest common factor (HCF) of 56 and 84
Show your working clearly. (2)
Show your working clearly. (2)
(b) Find the lowest common multiple (LCM) of 60 and 72
Show your working clearly. (2)
Show your working clearly. (2)
| Scheme | Marks | ||||||
|---|---|---|---|---|---|---|---|
| 1, 2, 4, 7, 8, 14, 28, 56 and 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 or 2 2 2 7 and 2 2 3 7 or 
| M1 | ||||||
| Working required Answer: 28 | A1 | ||||||
| (2) |
Notes
M1: for any correct valid method and no errors e.g.
for starting to list at least four different factors of each number and no errors
or
2 2 2 7 and 2 2 3 7 seen
(may be in a factor tree or a ladder diagram and ignore 1)
or a fully correct Venn diagram
or other clear method, e.g, table
A1: dep M1 accept \(2^2 \times 7\) oe
| Scheme | Marks | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 60, 120, 180, 240… and 72, 144, 216, 288… or 2 2 3 5 and 2 2 2 3 3 or 
| M1 | |||||||||||||||
| Working required Answer: 360 | A1 | |||||||||||||||
| (2) | ||||||||||||||||
| (4 marks) |
Notes
M1: for any correct valid method and no errors e.g.
for starting to list at least four multiples of each number
or
2 2 3 5 and 2 2 2 3 3 seen
(may be in a factor tree or a ladder diagram and ignore 1)
or a fully correct Venn diagram
or other clear method, e.g, table
A1: dep M1 accept \(2^3 \times 3^2 \times 5\) oe