10 questions🇬🇧English
🌳 Prime Factors, HCF & LCM – Year 7
Maths · Year 7 (KS3) — prime factor trees, index form and finding the HCF and LCM of numbers
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Questions
Which of these numbers is a prime number?
39
27
21
29
20s
How is 2 × 2 × 2 × 3 written in index form?
3² × 2
2³ × 3
2² × 3
6³
20s
Which of these shows 12 written as a product of prime factors?
2² × 3
3 × 4
2 × 3²
2 × 6
20s
A factor tree is drawn for 60. Written as a product of prime factors, 60 is:
2 × 3² × 5
2 × 3 × 10
2² × 3 × 5
2³ × 3 × 5
30s
What is the highest common factor (HCF) of 18 and 24?
12
72
6
3
30s
What is the lowest common multiple (LCM) of 6 and 8?
48
24
2
12
30s
Sam has 24 apples and 36 oranges. He packs identical bags with nothing left over. What is the greatest number of bags he can make?
72
6
4
12
30s
A = 2² × 3 × 5 and B = 2 × 3² × 7. What is the HCF of A and B?
6
30
2
1260
30s
In a prime factor Venn diagram for 30 and 42, the overlap holds 2 and 3, the 30 side holds 5, the 42 side holds 7. What is the LCM?
6
1260
35
210
60s
Bus A leaves every 12 minutes and bus B every 18 minutes. Both leave at 9:00. When do they next leave together?
12:36
9:30
9:36
9:06
60s