Maths practice for 14 year olds - page 369 of 370
Number of problems found: 7393
- 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.
- Plasticine ball
Plasticine balls have a radius r1=77 cm, r2=98 mm, r3=9 cm, r4=81 cm, r5=5 cm, r6=74 mm, r7=49 mm, r8=43 mm, r9=26 mm, r10=2 cm. They are molded
- 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.
- Cube diagonal
Determine the length of the cube diagonal with edge 23 km.
- Percentages and numbers
How much is the percentage of number 69 smaller over number 276?
- Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm..
- Quadratic equation
Solve a quadratic equation: 2x²+28x-550=0
- Ships
At 0:00, the ship set sail at 22 km/h. At 9:00 followed by 43 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake?
- Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)?
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if
- Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55.
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Horná štubňa (624 m AMSL) if the track is 37 km long.
- Party
At the party, everyone clinked with everyone. Together, they clink 45 times. How many people were at the party?
- Rotation of the Earth
Calculate the circumferential speed of the Earth's surface at a latitude of 34.5°. Consider a globe with a radius of 6378 km.
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