Maths practice for 14 year olds - page 29 of 313
Number of problems found: 6257
- Construct 22
Construct a rhombus ABCD if the diagonals are f=7cm, e=5 cm. - The tower
From a window 8 m above the horizontal plane, we can see the top of the tower at an elevation angle of 53 degrees 20 minutes, and its base at an angle of 14 degrees 15 minutes. How high is the tower? - Birthday boy 2
In how many ways can seven people be seated around a table so that the birthday boy sits at the head? - Determine the surface area
Find the surface area of a cone of height 30 cm whose side makes an angle of 60° with the base plane.
- Calculate A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
- Quadrilateral - irregular
Find the length of the side d = |AD| in quadrilateral ABCD: a= 35m, b= 120m, c=85m, angle ABC = 105 degrees, angle BCD= 72 degrees - 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? - 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°. - 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? - 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. - Originally 84156
The pants cost 9.90 euros, which is 90% of the original price. How much did the pants cost originally?
- Acceleration of a car What was the initial speed of the car when, after accelerating 2 m/s², it gained a speed of 30m/s in 10 seconds?
- Acceleration - free fall
How long will it take for a car to reach 180 km/h with an acceleration of 10 m/s²? - Hypotenuse 84015
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α? - Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b? - Interest 83990
The deposit is €1000. The interest is 7.36% per year. What is the amount after 3 years and 9 months?
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