C | math4u.vsb.cz

1003109206

Level:

2016

, the population of the Czech Republic increased by

25 000

10 578 820

inhabitants. How many inhabitants will there live in the Czech Republic at the end of the year

2026

, if the percentage increase is the same every year?

10 832 100

10 828 820

10 846 286

10 831 495

10 603 879

1003109205

Level:

The bank offers a term deposit with annual interest rate of

0.9 %

. We need to tax our profits with the income tax of

15 %

. How many Euros are we going to have after five years of savings if the original deposit is

200

Euros?

207.77

209.36

371.8

209.16

207.65

1003109204

Level:

Candles are being lit at a commemoration in the square. Gradually, every

15

seconds, two candles are lit from one already burning candle. It also took

15

seconds to lit the first candle. After

4

minutes, all candles were lit. How many candles were finally burning in the square?

65 535

32 767

32 768

131 070

131 071

1003109202

Level:

A blouse is on sale and its price was reduced twice, each time by ten percent. The difference between its original and its final price is

133 CZK

. What was the blouse original price before the discounts?

700 CZK

665 CZK

1 330 CZK

1 400 CZK

750 CZK

Karel made a resolution to go running. On the first day he ran one kilometre. Every day he extended the distance run by a quarter of the distance run on the previous day. How many whole kilometres did he run on the tenth day?

7

9

8

6

11

1003158609

Level:

Choose the correct relation.

\frac{4^{2 \sqrt{3}} \cdot 8}{16^{\sqrt{3} + 1}} = \frac{1}{2}

\frac{9^{2 \sqrt{5}} \cdot 27^{\frac{1}{3}}}{81^{1 - \sqrt{5}}} = \frac{1}{27}

\frac{π^{1 - \sqrt{2}} \cdot π^{1 + \sqrt{2}}}{π^{2}} < \frac{1}{π^{3}}

\frac{2^{2 π} \cdot 9^{π}}{36^{π - 1}} < 6

1003158608

Level:

As a result of this mathematical action

\frac{1}{\sqrt{2} + 1} + \frac{1}{\sqrt{3} + \sqrt{2}} + \frac{1}{\sqrt{4} + \sqrt{3}} + \dots + \frac{1}{\sqrt{100} + \sqrt{99}}

we get:

9

12

100

99

1003158607

Level:

As a result of this mathematical action

\sqrt[3]{{[{(\sqrt{2} + 1)}^{3} - {(\sqrt{2} - 1)}^{3}]}^{2} - 13^{2}}

we get:

3

\sqrt[3]{- 170}

\sqrt[3]{13}

\sqrt[3]{- 168}

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