Maths practice for 14 year olds - page 344 of 379
Number of problems found: 7578
- Container
On the first day, I removed 1/4 of the water from the full container, and on the second day, I removed 1/5 of the remaining water. Thus, how many percent remain container-filled? - Influenza
For the first week of February, by influenza, 5% of children were in kindergarten. In the second week ill, nine next children, bringing the number of patients increased to 20%. How many children went to kindergarten? - Pumps
The first pump flows 16 liters per second into the basin by the second pump 75% of the first and by the third pump half more than the second. How long will it take to fill the basin with all three pumps simultaneously, a volume of 15 m³ (cubic meters)? - James
James paints a fence. If he painted every day, instead of 14 planks, he would do 16 one day earlier. How many planks have a fence altogether? - Unknown number 10
The number first increased by 30%, then by 1/5. What percentage we've increased the original number? - Potatoes 1537
Potatoes contain 65% starch. How many potatoes do we need to get 13 kg of starch? - Copy typist
Typist for 12 hours, rewritten 15% of the manuscript. After how many hours will he do 35% of the manuscript?
- Crowns
1180 crowns are divided into three: A got 20% less than B, and C got 15% more than B. How many got A, B, and C? - Repair company
The company repairs cars. On the first day, repair half of the contract; on the second day, half of the rest; and on the third day 8 residue cars. How many total cars did the company repair? - The city
At the end of 2010, the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013? - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Percentage of waste
In a square plate with a side 75 cm, we cut four same circles. Calculate the percentage of waste. - Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Circle and hexagon
Calculate the radius of a circle whose circumference is 8.4 cm longer than the inscribed regular hexagon's circumference.
- Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter? - The chord
Calculate a chord length where the distance from the circle's center (S, 24 cm) equals 16 cm. - Balls
The urn is eight white and six black balls. We pull four random balls. What is the probability that among them will be two white? - Train from Prague
The first train from Prague started at 8:00 AM at 40 kilometers per hour. Train from Ostrava started at 9:20 at 80 km per hour. How many hours and how far from cities with trains meet if the distance of cities is 400 km. - Train from Brno The first train started from Brno at 8 AM at 60 km per hour. The second train started from Opava at 7 o'clock at 40 kilometers per hour. In how many hours and how far from cities do trains meet when the distance between cities is 200 kilometers?
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