# Examples for 9th grade

- Algebrogram

Solve algebrogram: mama+anna=vari How many solutions are? - Dividends

The three friends divided the win by the invested money. Karlos got three eighths John 320 permille and the rest got Martin. Who got the most and which the least? - Content area and percents

Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%. - Glass

How many glass are needed to produce glass with base regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm? - Average speed

What is the average speed you have to move the way around the world in 80 days? (Path along the equator, round to km/h). - Cuboid enlargement

By how many percent increases the volume of cuboid if its every dimension increases by 30%? - Tunnels

Mice had built an underground house consisting of chambers and tunnels: • each tunnel leading from the chamber to the chamber (none is blind) • from each chamber lead just three tunnels into three distinct chambers, • from each chamber mice can get to an - Sum of members

What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5? - Z9-I-4

Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row she wrote a sum of this number and its one nines. F - Unknown number 7

16% of the unknown number is by 21 less than unknown number itself. Determine the natural unknown number. - Three children

3 children eat 8 chocolates in 6 days. How many chocolates 6 children eat in 18 days? - Three friends

Three friends divided the profit 104,650 CZK, so that for every 4 CZK, which got the first friend equals 5 crowns for second and for every 9 CZK, which got the second equals 16 CZK for third. Question: Who got the most and how much. - Pet store

In a pet store, they are selling out the fish from one aquarium. Ondra wanted half of all fish, but they don't wish cut by hal fany fish he got one more than demanded. Matthew wished the remaining half of the fish, but as Andrew got half the fish more t - Cancer

Of the 80 people 50 people ill cancer. What percentage of people isn't ill? - Money duo

Julius and Mark have together 45 euros. Mark has 50% more money than Julius. Determine the amount of money that have Mark and Julius. - Exponential equation

Determine the value of having y in the expression (3^y): (4^-1)=36. Unknown y is a natural number greater than zero. - Rectangle

Perimeter of rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width:height) - Coefficient

Determine the coefficient of this sequence: 7.2; 2.4; 0.8 - Cablecar

Funicular on Petrin (Prague) was 408 meters long and overcomes the difference 106 meters in altitude. Calculate the angle of climb. - First man

What is the likelihood of a random event where are five men and seven women first will leave the man?

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