Real Numbers: Mixed Practice, Quiz

What is the prime factorisation of

2310

?

A

2 \times 3^2 \times 5 \times 11

B

2 \times 3 \times 5 \times 7 \times 11

C

2 \times 5 \times 7 \times 33

D

2 \times 3 \times 5 \times 77

Ropes of

84

cm,

126

cm and

210

cm are cut into equal pieces of the greatest possible length with nothing left over. How many pieces are there in all?

A

20

B

42

C

5

D

10

Find the LCM of

4

,

9

and

25

.

A

900

B

1

C

450

D

300

\mathrm{HCF}(391, 272) = 17

. What is their LCM?

A

663

B

106352

C

3128

D

6256

Which is a counterexample to \"the sum of two irrational numbers is always irrational\"?

A

2 + \sqrt{3}

B

\sqrt{3} + \sqrt{5}

C

\sqrt{2} + \sqrt{2} = 2\sqrt{2}

D

(3 + \sqrt{2}) + (3 - \sqrt{2}) = 6

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