Maths practice for 14 year olds - page 329 of 370
Number of problems found: 7397
- Ten dices
When you hit ten dice simultaneously, you get an average of 35. How much do you hit if every time you get six, you're throwing the dice again? - Polygon 42
Which polygon has 42 more diagonals than sides? - Clock face
A clock face is drawn on paper. Straight lines connect numbers 10 and 5, and 3 and 8. Calculate the size of their angles. - 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 = 17 cm and u2 = 14 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? - 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 - Aircrafts
The bomber 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 at an average speed of 2300 km/h. At what t - Volume from surface area
What is the volume of the cube whose surface area is 96 cm²? - 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? - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - 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 1994 compared to 1993 19% more, in 1995 14% more against the previous year, in year 1996 20% more compared to 1995. 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.
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