Maths practice for 14 year olds - page 282 of 319
Number of problems found: 6368
- PIN - codes
How many five-digit PIN - codes can we create using the even numbers?
- Circular lawn
Around a circular lawn area is a 2 m wide sidewalk. The outer edge of the sidewalk is a curb whose width is 2 m. The Curbstone and the inner side of the sidewalk together form concentric circles. Calculate the area of the circular lawn, and the result rou
- The city 2
Today lives 298000 citizens in the city. How many citizens can we expect in 8 years if their annual increase is 2.4%?
- Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. The prism height is twice the base edge length.
- Tray
If the water level in the tray shaped as a cuboid is 420 liters and the bottom dimensions are 120 cm and 70 cm, what height reaches the water level?
- Heating plant
Workers dump imported coke at the heating plant. They used half of the amount on the first day. On the second day, three-quarters of the rest, and on the third day, left 120 tons. How much coke did they dump at the heating plant?
- Two cars
From A town started two cars to town B. The first begins at 7:00 at an average speed of 60 km per hour. The second car starts at 10:00 at an average speed of 100 km per hour. The first car will not stay in B, and on the way back, meet the second car halfw
- Hockey game
In the hockey game, they scored six goals. The Czechs played against Finland. The Czechs won 4:2. In what order did they fall goals? How many game sequences were possible during the game?
- Hollow sphere
The hollow steel sphere floats on the water, plunged into half its volume. Determine the outer radius of the sphere and wall thickness if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³
- Blackjack TU160
Bomber Tupolev TU160 started at 9:00 from the airport and flew at an average speed of 1850 km/h toward Airfield B, a distance of 3500 km. After evaluating the danger from the airport, B started at 9:45 B towards A fighter MIG 29 at an average speed of 230
- Inscribed triangle
A circle is an inscribed triangle, and its vertices divide the circle into three arcs. The length of the arcs is in the ratio 2:3:7. Find the interior angles of a triangle.
- Interest p.a.
Calculate the value of the interest in the period of 1 year from the deposit 62000 CZK at 8 percent interest rate after deducting 15 percent tax.
- Warehouse cars
From the warehouse, a truck started at a speed of 40km/h. After 1 hour 30 mins started from the same place in the same direction a car at 70 km/h. For how long and at what distance from the warehouse overtake a truck?
- Saving per cents
On the first day, I saved 1 cent, and I saved a cent more every following day. How much do I save in one year (365 days)?
- 3 years
The company has increased the number of employees. In year 2005 compared to 2004 13% more, in 2006 18% more against the previous year, in year 2007 20% more compared to 2006. How much percent increase in the number of employees in 3 years?
- Paper box
Calculate the paper consumption on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes?
- Apartments
The apartment on the first floor was 10% more expensive than the same apartment on the second floor. The difference was 105 Kc annually. Calculate the apartment's annual rent on the first floor and from the apartment on the second floor.
- Pot
Calculate the height of a 3-liter pot with a shaped cylinder with a diameter of 10 cm.
- Three-digit numbers
How many three-digit numbers are from the numbers 0, 2, 4, 6 8 (with/without repetition)?
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