Math practice for 13 year olds - page 361 of 363
Number of problems found: 7241
- Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area.
- Lunch for free
Gastro tickets are "free," so they should be retained. Many employees in Slovakia approve of free goods, such as a free gastro ticket per day of work. The company issuing gastro tickets receives a 4.9% fee on the total amount of money spent on tickets. Ca
- Number ratio
Calculate two positive numbers. Its ratio is 6:18, and difference was 372.
- Road
Between cities, A and B is a route 9 km long of average 9‰ klesanie. Calculate the height difference between cities A and B.
- Farmer
The farmer is farming 244 ha of arable land, and the remaining 12% are meadows and pastures. How much land does the farmer own?
- Angles in triangle
The triangle is the ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What is the size of the angles of the triangle?
- Jewel
Rhombus-shaped jewel has an area of 93 mm², and the edge is long 13.2 mm. Calculate the size of the acute rhombus angle.
- Drunk man
The drunk man has 2.6‰ of alcohol in his blood. How many grams of alcohol has in his blood if he has 5 kg of blood?
- Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x).
- Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?
- Circle in rhombus
An inscribed circle is in the rhombus. Contact points of touch divide the sides into parts of length 14 mm and 9 mm. Calculate the circle's area.
- Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm.
- Salary
Lawyer got to pay 840 Euros in banknotes of 20 and 50 Eur. Total got 18 banknotes. How many were which?
- Chickens and rabbits
In the yard were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard?
- Cube - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base.
- Playing cards
How many possible ways are there to shuffle 8 playing cards?
- Triangle SAA
The triangle has one side long 23 m, and its two internal angles are 60°. Calculate the perimeter and area of the triangle.
- Cube diagonal
Determine the length of the cube diagonal with edge 23 km.
- Ladder
The ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall?
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