Maths practice for 14 year olds - page 283 of 319
Number of problems found: 6372
- The fence
I'm building a cloth (board) fence. The boards are rounded in a semicircle at the top. The tops of the boards between the columns should copy an imaginary circle. The tip of the first and last board forms the chord of a circle whose radius is unknown. The
- Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many permille road rises?
- Passenger 1810
The distance between cities A and B is 165 km. A truck traveled from city A to city B at a speed of 50 km/h. Fifteen minutes later, a passenger drove from city B to city A at 72 km/h. How far will the passenger car travel before the two cars meet?
- Liters od milk
The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm?
- Water level
The glass container has a cuboid shape, with dimensions at the bottom of 24 cm and 12 cm. The height of the water is 22 cm. Calculate the body's volume sunk into the water if the water level rises by 3 cm.
- 3 days
The worker checked 2,950 products in 3 days. The second day checked 25% more than the first day. On the third day, 15% more products than on the second day. How many products does he check in each day?
- Earth's surface
The greater part of the Earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land?
- The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall?
- Chord 2
Point A has a distance of 13 cm from the circle's center with a radius r = 5 cm. Calculate the length of the chord connecting the points T1 and T2 of contact of tangents led from point A to the circle.
- Circular flowerbed
We split the circular flowerbed with a diameter 8 m by concentric circles to circles and annulus with the same area. Find the radius of the circle.
- Parcel
The parcel is rectangular, a trapezoid with bases of 12 m and 10 m and a height of 8 m. On the parcel was a built object with a footprint of an isosceles triangle, with a side of 4 m and a height of three-quarters of a meter. What is the area of the unbui
- Distance runner
Distance runners have already climbed three-fifths of the total route. Thus passed 90 km. How many km does he have to stop? How long is his route?
- Farm2
The farm bred turkeys, geese, hens, and chickens. Everything is 400. Turkeys and geese a hen are 150. No hen has more than one chicken, but some hens have no chick. Half of them are also a quarter of the chickens. When the turkey was subtracted by 15, we
- Trapezoid v3
The isosceles trapezoid has an angle at the first base 40 degrees less than the angle at the second base. How large angles has this trapezoid?
- Holiday SMS
Kucera and Malek start the holiday together. They agreed that they would send an SMS if they were 100 km apart. Kucera traveling at 60 km/h., Malek 90 km/h. They started at 14 hours PM. At what time do they send a message?
- Right trapezoid
The right trapezoid has bases 3.2 cm and 62 mm long. The shorter leg has a length of 0.25 dm. Calculate the lengths of the diagonals and the second leg.
- Field with vegetables
The field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the triangle's vertices are rotating sprinklers with a range of 12 m. How much of the field sprinkler isn't irrigated?
- Mom and daughter
The mother is 39 years old, and her daughter is 15. Will the mother be four times older than the daughter for many years?
- Hockey match
The hockey match ended with a result of 3:1. How many different storylines may the match have?
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