Maths practice for 14 year olds - page 343 of 362
Number of problems found: 7232
- Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - Boat
A force of 209 kg (2090 N) is required to pull a boat up a ramp inclined at 12° with horizontal. How much does the boat weigh? - Oil rig
The oil drilling rig is 23 meters in height and fixes the ropes, the ends of which are 10 meters away from the foot of the tower. How long are these ropes? - Moving
Walter left the house at three o'clock at 4 km/h and, half an hour later, went from the same place to Philip by bicycle at speed 11 km/h. How long does it take Philip to catch up with Walter, and how far from the house? - Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2? - Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace? - MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there? - Maple
The maple peak is visible from a distance of 7 m from the trunk from a height of 1.8 m at an angle of 46°. Find the height of the maple. - Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³. - Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - n-gon What is the side length of the regular 5-gon inscribed in a circle of radius 14 cm?
- Cone
Calculate the volume and surface area of the cone with a diameter of the base d=16 cm and the side of the cone with the base has angle 37°12'. - Lid
What is the weight of the concrete cover (lid) of a round well with a diameter 1.65 m if the thickness of the cover is 9 cm? 1 m³ of concrete weighs 2190 kg. - Block
Calculate the volume of a cuboid ABCDEFGH if |AB| = 7 cm, |BC| = 8 cm and the angle ∠CDG = 30.1° - Diagonal
The diagonal of the rectangle has a length of 39.5 cm. The angle between the diagonal and longer side of the rectangle is 43°. Calculate the area of the rectangle. - Saving
Gejza save € 1470 to buy a car. Yet it lacks save 45% of the car price. How much is the car? - Pharmacy
At a pharmacy, one container holds a 20% disinfectant solution and another holds a 50% solution. 16 litres of a 26% solution need to be prepared. What amount of solution from each container is needed? - Fertilizer
Mr. Gherkin uses for fertilization 7% solution of fertilizer. 9 liters of it still left. How much water must be added to the solution to make only the 4% solution? - Enrollment
The enrollment at a local college increased 8% from 9339 over last year. Find the increase in enrollment (x1) and the current enrollment (x2).
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