# Grade - math word problems

- Angle

Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Angle in RT

Determine the size of the smallest internal angle of a right triangle whose sides constitutes sizes consecutive members of arithmetic progressions. - Square s3

Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference. - Rails

18 m railway weighs 1260 kg. How much weighs 100 m of welded railways? - Diagonal of the rectangle

Calculate the diagonal of the rectangle which area is 54 centimeters square and the circuit is equal to 30 cm. - 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? - Third member

Determine the third member of the AP if a4=93, d=7.5. - 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). - Cacao

Cacao contains 34% filling. How many grams of filling are in 130 g cacao. - Cuboid enlargement

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

Determine the edges of the cube when the surface is equal to 37.5 cm square. - 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 - Cube 5

The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume. - 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 - Fluid

We have vessels containing 7 liters, 5 liters and 2 liters. Largest container is filled with fluid the others empty. Can you only by pouring get 5 liters and two 1 liter of fluid? How many pouring is needed? - 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.

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