Maths practice for 14 year olds - page 35 of 379
Number of problems found: 7575
- In a football
In a football tournament of eight teams, where each team played each other exactly once, points were awarded as follows: the winner of the match received 3 points, the loser received 0 points, and in the event of a draw, each team received 1 point. At the - Traffic accidents
Of the total number of traffic accidents, 80% occur in the village and 20% outside the village. If the number of traffic accidents in the village were reduced by 40%, by what percentage would the total number of traffic accidents decrease? - Blueberries - total
Peter collects a container of blueberries in 3 hours, and Jana in 2 hours. How long will it take them to fill the container together? - Stock inventory
At the beginning of each week, the stock inventory in the warehouse increases by 5% of the current level. At the end of every second week, 8% of the goods are issued from the warehouse. By how much percent will the stock in the warehouse be greater after - Instantaneous water heater
Water flows into and out of an instantaneous water heater at the same time. If water only flows in, the empty water heater would be filled in 18 minutes. If water only flows out, the full water heater would be emptied in 20 minutes. How many hours will it - Rhombus - diagonals
Rhombus ABCD has side a = 80 cm and side b = 50 cm. Diagonals u1 and u2 make an angle of 60 degrees with each other. Calculate the area of the rhombus. - We are delayed
The train had to travel the distance from A to B at an average speed of 56km/h. After a 1.5 hour journey from station A, the train stopped for 30 minutes. To reach station B in the specified time, he had to travel the remaining distance at an average spee
- Three numbers
The product of three natural numbers is 600. If we reduced one factor by 10, the product would decrease by 400. If we increased one factor by 5 instead, the product would increase to twice the original value. Which three numbers have this property? - Cookies - price
The price of cookies was increased from 16 crowns to 17 crowns. By what percent did the price of cookies increase? - Condensation
How many liters of water must be evaporated from 400kg of a 10% soda solution to get a 16% solution? - Diagonals
Construct a rhombus whose diagonals have lengths of 10cm and 8cm and make an angle of 115°. - Graduation of the track
The gradient of the track is 9 per mile, and the distance per kilometer (on the slope) [AC] = is 560m. Determine the angle alpha and the distance [AB] = the height between A and B. A / | B/____________C - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h on a 54 meter long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need? - Kilometers 84199
Three friends, Jana, Janett, and Adriana, like to run. On Sunday they all went for a run. Jana ran twice as many kilometers as Žaneta. Adriana ran 3 kilometers more than Žaneta. How many kilometers did Adriana run if the friends ran 11 kilometers together
- In an electrical 3
In an electrical circuit, we have R1=4000 Ohms, R2=8000 Ohms, and R3=6000 Ohms connected in series. The power supply has a voltage of 100 V. Calculate the voltage values across R1, R2, and R3. - Workers
The first worker completed the work in 40 hours, the second in 50 hours, and the third in 80 hours. How long will it take them to do the work together? - RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m, |CD| = 200 dm, and |BC| = 10m. Calculate the area and perimeter of the trapezoid and the length of the diagonal AC - A bicycle
Martin sold a bicycle at a profit of 10%. Had it been sold for 75 USD more, the profit would have been 16%. Find the cost price of the bicycle. - February sales
The company earned only four-fifths of what it earned in January in February. How many percent more did the company earn in January than in February?
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