Maths practice for 14 year olds - page 38 of 361
Number of problems found: 7217
- Condensation
How many litres of water must be evaporated from 400 kg of a 10% soda solution to obtain a 16% solution? - Boxes
Petra has planted flowers in two boxes in the shape of a cube. The first box has an internal dimension of 70 cm and the second 5 dm. She wants to make one box in the shape of a cuboid, into which she could transplant both flowers from these boxes. The new - Diagonals
Construct a rhombus whose diagonals have lengths of 10 cm and 8 cm and make an angle of 115° with each other. - Graduation of the track
The gradient of the track is 9 per mille, and the distance along the slope [AC] is 560 m. Determine angle alpha and the distance [AB], which is 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 over a 54-metre-long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Preparing the mixture
The seller prepared 25 kg of a mixture priced at 264 CZK per kg. The first type cost 180 CZK per kg and the second 390 CZK per kg. How much of each did he need? - Running Distances of Friends
Three friends, Jana, Jannet, and Adriana, like to run. On Sunday they all went for a run. Jana ran twice as many kilometres as Jannet. Adriana ran 3 kilometres more than Jannet. How many kilometres did Adriana run if the friends ran 11 kilometres in total - In an electrical 3
In an electrical circuit, R₁ = 4,000 Ω, R₂ = 8,000 Ω, and R₃ = 6,000 Ω are connected in series. The power supply has a voltage of 100 V. Calculate the voltage across R₁, R₂, and R₃. - Workers
The first worker can complete a job in 40 hours, the second in 50 hours, and the third in 80 hours. How long will it take them to complete the job if they all work together? - RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m and |CD| = 200 dm, and leg |BC| = 10 m. Calculate the area and perimeter of the trapezoid and the length of diagonal AC. - A bicycle
Martin sold a bicycle at a profit of 10%. Had it been sold for $75 more, the profit would have been 16%. Find the cost price of the bicycle. - February sales
A company earned only four fifths in February of what it earned in January. By what percentage did the company earn more in January than in February? - Counting Light Cars
There are 96 cars in a car park. There are 24 fewer dark-coloured cars than light-coloured cars. How many light-coloured cars are there in the car park? - A year ago A year ago, Jano was twice as old as Helen. In five years, Helen will be twice as old as Jano. How old is Helen now?
- Shear friction
How much force must be applied to a box weighing 300 kg to move it at a constant speed along a horizontal floor, if the coefficient of sliding friction between the box 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 edge length of the cube in cm, b) the volume of the cube in cm³, c) the surface area of the cube in cm². - Four-digit number
George is thinking of a four-digit number and gives us the following clues: a) Its digit sum equals one hundredth of the number obtained by rounding the mystery number to the nearest hundred. b) Its last digit is 1 more than the second-to-last digit. c) T - 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
A pair of trousers costs €9.90, which is 90% of the original price. How much did the trousers cost originally? - Heating 2
The heating element of a stove has an electrical resistance of 80 ohms and is connected to a voltage of 230 V. Calculate the electrical energy consumed in a year (365 days) if it is switched on for 2 hours a day. How much will the energy consumed cost if
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