Maths practice for 14 year olds - page 38 of 376
Number of problems found: 7506
- 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? - Running Distances of Friends
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? - Counting Light Cars
There are 96 cars in the parking lot. There are 24 fewer dark cars than light cars. How many light cars are there in the parking lot? - A year ago A year ago, Jano was twice as old as Lenka. In five years, Jano will be half as old as Lenka. How old is Lenka?
- Shear friction
How much force must we apply to a box weighing 300 kg to move it uniformly along a horizontal floor if the coefficient of shear friction between the box's edge and the floor is 0.5? - Ratio 52
The ratio of the surface area of a cube to its volume is 2:1.Calculate: a) the length of the edge of the cube in cm b) the volume of the cube in cm³ c) the volume of the cube in cm2 - Four-digit number
Juraj is thinking of a four-digit number that he told us about: (a) Its digit sum is one hundredth of the number that I get by rounding the imaginary number to hundreds. (b) Its last digit is 1 more than the second-to-last. (c) The sum of its last two dig - Princesses
Princesses Anna and Elsa are picking strawberries, which have ripened in huge quantities after a long winter. Anna can pick one bed in 120 minutes, and Elsa is faster and can finish an equally large bed in 15 minutes. How many minutes would it take the ro - Finding Original Price
The pants cost 9.90 euros, which is 90% of the original price. How much did the pants cost originally?
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