Real Numbers and Their Properties — test yourself

Which of these numbers is not a natural number?

A

0

B

3

C

7

D

12

Which of these numbers is irrational?

A

\sqrt{2}

B

\displaystyle \frac{3}{4}

C

0.5

D

-5

What is

2\sqrt{5} + 6\sqrt{5}

?

A

4\sqrt{5}

B

8\sqrt{10}

C

12\sqrt{5}

D

8\sqrt{5}

What is

\sqrt{11} \times \sqrt{11}

?

A

\sqrt{22}

B

22

C

11

D

121

What is

8 + (-8)

?

A

-16

B

0

C

1

D

16

One of these has no answer at all. Which one?

A

9 \div 3

B

0 \div 9

C

9 \div 0

D

6 \div 4

Which of these sums can not be made simpler?

A

3\sqrt{7} + 2\sqrt{7}

B

\sqrt{7} + \sqrt{7}

C

2 + \sqrt{7}

D

9\sqrt{7} - 9\sqrt{7}

What is

3\sqrt{2} \times 5\sqrt{2}

?

A

15

B

15\sqrt{2}

C

30

D

8\sqrt{2}

Multiply out

4(\sqrt{5} + 2)

.

A

6\sqrt{5}

B

4\sqrt{5} + 2

C

4\sqrt{5} + 8

D

\sqrt{5} + 8

For real numbers

a

and

b

, which line is not always true?

A

a - b = b - a

B

a + b = b + a

C

a + 0 = a

D

ab = ba

What is

16 \div (8 \div 2)

?

A

8

B

32

C

4

D

1

Write

\displaystyle \frac{10}{\sqrt{5}}

with no root on the bottom.

A

2\sqrt{5}

B

10\sqrt{5}

C

\sqrt{2}

D

5\sqrt{5}

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Real Numbers and Their Properties — test yourself