Maths practice for 14 year olds - page 360 of 361
Number of problems found: 7215
- Circle chord
What is the length of a chord of a circle with diameter 115 m if the chord's distance from the centre is 11 m? - Circle in rhombus
A circle is inscribed in a rhombus. The points of tangency divide each side into segments of length 14 mm and 9 mm. Calculate the area of the circle. - Rectangle
The area of a rectangle is 893. Its length is 28 more than its width. What are the dimensions of the rectangle? - Square diagonal
Calculate the length of the diagonal of a square whose 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 a farmyard there 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 face diagonal and the base of a cube. Calculate the angle beta (β) between the space diagonal and the base of the cube. - Plasticine ball
Plasticine balls each have a radius of 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 - Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long. - Playing cards
In how many possible ways can 6 playing cards be shuffled? - Triangle SAA
A triangle has one side of length 23 m and two interior angles of 60°. Calculate its perimeter and area. - Cube diagonal Determine the length of the space diagonal of a cube with edge 23 km.
- Percentages and numbers
By what percentage is the number 69 smaller the 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
Sand was piled into an approximately conical shape. Workers wanted to determine the volume (amount of sand) and measured the circumference of the base and the total length of both slant sides of the cone. What is the volume of the sand cone if the circumf - Triangle SSS
Calculate the perimeter and area of triangle ABC if a = 45, b = 30, and c = 50.
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