Maths practice for 14 year olds - page 259 of 321
Number of problems found: 6402
- Enterprise company
30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company?
- Regular 3241
The tourist started with a regular step on the road at a speed of 80 steps per minute. After going through 100 steps, his son came to see him and wanted to catch up with him. The son took regular steps as long as his father and moved at 120 steps per minu
- Vertically 3237
A 100 g body is ejected vertically upwards from the surface of the Earth at an initial speed of 30 m/s. Determine the height at which the body rises and its potential energy at the path's highest point.
- Motel
Three different dinners, A, B, and C, are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, a
- Rhombus OWES
OWES is a rhombus, given that OW is 6cm and one diagonal measures 8cm. Find its area?
- Intersection 3229
Intersection of graphs of functions y = 5x-2 and y = -3x-6
- 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.
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