Arithmetic V - Challenging

Question 1: Calculate:

0.308 : 0.14 + 1.2

A

34

B

3.4

C

340

D

0.34

Question 2: Calculate:

6.85 \times 3.2 - 1.7 \times 6.85

A

0.10275

B

10.275

C

1.0275

D

102.75

Question 3: Find the arithmetic mean of the numbers

\frac{1}{4}

and

5 \frac{2}{7}

A

4

B

1 \frac{43}{56}

C

2 \frac{43}{56}

D

5

Question 4: Calculate:

{(4 - 3 \frac{1}{4})}^{4} : {(\frac{3}{4})}^{2}

A

1 \frac{3}{4}

B

1

C

1 \frac{9}{16}

D

\frac{9}{16}

Question 5: Simplify the expression:

7 \sqrt{3} - \sqrt{12} + \sqrt{27}

A

8 \sqrt{3}

B

\sqrt{3}

C

5 \sqrt{3}

D

2 \sqrt{3}

Question 6: When a cyclist traveled

0.6

of the way, there were still

60

miles left to travel. How many miles the cyclist planned to travel?

A

100 m i l e s

B

160 m i l e s

C

120 m i l e s

D

150 m i l e s

Question 7: Alloy of tin and lead contains

60 %

of tin. What is the weight of the alloy that contains

120

grams of tin?

A

2 k g

B

180 g

C

200 g

D

150 g

Question 8: Calculate:

3.2 \times 10^{- 2} + 2.1 \times 10^{- 3}

A

5.3 \times 10^{- 5}

B

341 \times 10^{- 2}

C

34.1 \times 10^{- 2}

D

3.41 \times 10^{- 2}

Question 9: Calculate:

| - 0.25 \times \frac{4}{7} | : (- 40) + \frac{1}{40}

A

\frac{3}{14}

B

- \frac{3}{14}

C

\frac{3}{140}

D

- \frac{3}{140}

Question 10: Calculate:

\sqrt{6 - 4 \sqrt{2}} + \sqrt{2}

A

- 2

B

\sqrt{2}

C

- \sqrt{2}

D

2

Test: Arithmetic V - Challenging

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