Maths practice for 14 year olds - page 38 of 362
Number of problems found: 7230
- Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus. - We are delayed
A train had to travel the distance from A to B at an average speed of 56 km/h. After a 1.5-hour journey from station A, the train stopped for 30 minutes. To reach station B on schedule, it had to travel the remaining distance at an average speed of 63 km/ - Three numbers
The product of three natural numbers is 600. If one factor is reduced by 10, the product decreases by 400. If another factor is increased by 5 instead, the product doubles. Which three numbers have this property? - Cookies - price
The price of cookies was increased from 16 crowns to 17 crowns. By what percentage did the price increase? - 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.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
