Maths practice for 14 year olds - page 311 of 382
Number of problems found: 7626
- Sikorsky helicopter
The American concern United Technologies is testing the Sikorsky X2 helicopter, which can fly at a record speed of 464 km/h. How long would it take an F22 Raptor fighter flying at a supersonic speed of 1,856 km/h to catch up with a Sikorsky X2 helicopter - Water solution
How many grams of salt should we dissolve in 400 g of water to get a 20% solution? - Triangle sides
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm. - Triangle sides
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51 ° 19 ', β = 67 ° 38'. - Candy sharing
Jane, Martha, and Susan shared candies in a ratio of 4:5:3. During this division, Martha had 16 sweets less than Jane and Susan had together. How many candies did each of the girls have? - Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall. - 6 terms
Find the first six terms of the sequence. a1 = 7, an = an-1 + 6 - Timber log
The ship goes from point x to y. Downstream it takes 4 hours, and upstream 6 hours. How long does it take from a point x to y a log? - Donuts
In the dining room, Thomas, Philip, and Martin sit at one table. Together, they eat 36 doughnuts. Philip ate twice as much as Thomas, and Martin ate half more than Philip. How many doughnuts did each eat? - Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm². - Cyclist speed
A cyclist covered a track of 40 m in 5 s. The first section of the 30 m track was covered in 3 s; the remaining section was covered in 2 s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist - Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm². - Numbered
The pages of the book are rectangular with sides 15 cm and 12 cm long. Hansel tore out all the pages and lined them up so that they touched along the shorter side. How long was the line, given that the pages were numbered starting from number 1 and the su - Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form. - Money for grandchildren
My grandfather distributed CZK 1,600 among his grandchildren. He divides the amount proportionally to their ages. The grandchildren are 15, 12, and 6 years. How much will each of the boys get? - Garden fencing cost
We want to enclose a rectangular garden whose length-to-width ratio is 2:1 and whose half of the perimeter borders the road. The fencing path along the road costs 7 euros per meter, and the other fencing costs only 3 euros per meter. How many acres does a - Trapezoid waste
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm², and one of its bases is twice as long as the other. What is the area of the two triangles that make up the waste - Circle radius
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Horizontal distance
The road leading from place A to place B has a gradient of 9%. Considering that their altitudes differ by 27.9 m, determine the horizontal distance between them. - Measuring cork
Simon boasted that he had taken away a block of cork measuring 0.5 m x 0.5 m x 1.2 m. Is it possible we know that 1 m of cubic cork weighs 300 kg and children from 10 to 15 years old can carry a maximum load of 5 kg?
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