Maths practice for 14 year olds - page 258 of 318
Number of problems found: 6351
- Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long?
- Working together
One painter painted the nursery in 10 days, the second in 8 days. How many days will the nursery be painted if they work together?
- Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18?
- Technologies 3218
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?
- Calculate 3209
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.
- Calculate 3208
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51 ° 19 ', β = 67 ° 38'.
- 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?
- Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm².
- Remaining 3195
A cyclist covered a track of 40m in 5s. The first section of the 30m track was covered in 3s; the remaining section was covered in 2s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist on th
- 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.
- 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.
- Grandchildren 3177
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?
- Length-to-width 3175
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
- Quadrilateral-trapezoid 3172
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
- Calculate 3167
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 3166
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.
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