Lesson T1.1.3
T1.1.3 HCF, LCM and prime factorisation Quiz: KS3 Maths, Unit 1
20 questions
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Lesson T1.1.3, HCF, LCM and prime factorisation: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 1: Number, written with Revision Ninja.
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The 20 questions
-
What is the highest common factor (HCF) of 12 and 18?
- 2
- 6
- 3
- 36
-
What is the lowest common multiple (LCM) of 4 and 6?
- 10
- 24
- 12
- 2
-
Write 60 as a product of prime factors.
- 2 × 2 × 3 × 5
- 2 × 2 × 15 × 1
- 2 × 3 × 10 × 1
- 4 × 3 × 5 × 1
-
Write 84 as a product of prime factors in index form.
- 2² × 3 × 7
- 2³ × 3 × 7
- 2 × 3² × 7
- 2² × 3² × 7
-
Which pair of numbers has an HCF of 1?
- 10 and 25
- 6 and 12
- 8 and 15
- 9 and 27
-
What is the LCM of 3, 4 and 5?
- 20
- 30
- 60
- 12
-
Using prime factors, what is the HCF of 2³ × 3 × 5 and 2 × 3² × 5?
- 90
- 30
- 60
- 10
-
What is the LCM of 2³ × 3 and 2 × 3²?
- 72
- 6
- 24
- 18
-
What do the letters HCF stand for?
- Highest common multiple
- Lowest common fraction
- Lowest common factor
- Highest common factor
-
What is the lowest common multiple of 5 and 7?
- 12
- 35
- 70
- 2
-
What is 2 x 2 x 2 x 3 x 3 written in index form?
- 2 × 3⁵
- 2⁵ × 3
- 2³ × 3²
- 2² × 3³
-
Which number is a common multiple of 6 and 8?
- 14
- 32
- 24
- 36
-
Two lights flash every 6 seconds and every 8 seconds. After how many seconds do they flash together for the first time?
- 2 seconds
- 12 seconds
- 14 seconds
- 24 seconds
-
A rectangle is 24 cm by 36 cm and is cut into identical squares with the largest possible side. What is the side length?
- 24 cm
- 12 cm
- 6 cm
- 8 cm
-
What is the largest number that divides exactly into both 16 and 24?
- 12
- 4
- 16
- 8
-
What is the smallest number that is a multiple of 12, 15 and 20?
- 30
- 120
- 60
- 180
-
Write 360 as a product of prime factors in index form.
- 2² × 3² × 5
- 2³ × 3² × 5
- 2 × 3² × 5²
- 2³ × 3 × 5
-
What is the HCF of 2⁴ × 3 × 7 and 2² × 3³ × 5?
- 3
- 4
- 60
- 12
-
What is the LCM of 2⁴ × 3 and 2 × 3² × 5?
- 720
- 144
- 90
- 240
-
Two numbers have an HCF of 6 and an LCM of 72. One of them is 18. What is the other?
- 12
- 48
- 36
- 24
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