Math practice for 13 year olds - page 420 of 422

Number of problems found: 8424

Jewel
Rhombus-shaped jewel has an area of 109 mm², and the edge is long 13 mm. Calculate the size of the acute rhombus angle.
Rhombus HP
Calculate the area of the rhombus with height 48 cm and perimeter 64 cm.
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).
Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °.
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.
Rectangle
The area of a rectangle is 893. Its length is 28 larger than the width. What are the dimensions of the rectangle?
Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm.
Hollow sphere
Calculate the weight of a hollow dural sphere (density 2.75 g/cm³) if the inner diameter is 18 cm and the wall thickness is 3 mm.
Salary
Operatér got to pay 2560 Euros in banknotes of 20 and 500 Eur. Total got 8 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.
Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long.
Playing cards
How many possible ways are there to shuffle 6 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.
Square and circles
Square with sides 68 km is circumscribed and inscribed with circles. Determine the radiuses of both circles.
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?
Percentages and numbers
How much is the percentage of number 69 smaller over number 276?

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