Maths practice for 14 year olds - page 41 of 362
Number of problems found: 7230
- The Novak family 2
The Novák family had debts at two banks. They repaid Bank A a total of 26,500 CZK, with interest making up one fifth of the amount repaid. They repaid Bank B an amount 15,000 CZK less, including ten percent interest. a) What was the Novák family's origina - Future Value with Interest
The deposit is €1,000 at an annual interest rate of 7.36%. What is the total amount after 3 years and 9 months? - Equilateral cone
A cup has the shape of a right circular cone whose slant height equals the diameter of its base (i.e. the axial cross-section is an equilateral triangle). It is supposed to hold 0.2 litres of liquid when filled to 1 cm below the rim. Calculate its diamete - Lampshade 3
A lampshade has the shape of a lateral surface of a cone with a slant height of 32 cm and a base diameter of 46 cm. Calculate the paper needed for its production, assuming 6% waste. - Arbor
Calculate in square metres the area of an arbour whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - Out of 124
Out of 124 students, 68 went on at least one of two trips. 82 students did not go on the first trip, and 63 students went on exactly one trip. How many students went only on the first trip, and how many students went on the second trip? - Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose centre is 3 cm from the chord. - Timetable
If a train travelling between two cities increases its scheduled speed by 5 km/h, it arrives 20 minutes early. If it decreases its speed by 5 km/h, it arrives 25 minutes late. How long is the route between the cities? - Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal of 8 m. What is the length of the shorter diagonal? - To a wholesaler
A farmer sold 10% of last year's corn crop to a wholesaler and a third of the remainder to small buyers. He stored the remaining 270 tonnes of corn. How many tonnes of corn did he sell in total? - Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal. - PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a and b. Estimate the length of the missing side and compare your estimate with the calculated value. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a = 8.9 m; b = 1 m d) b = 10 cm; c = 20 cm e) b = 2.5 m; c - In a right triangle 13
The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the triangle. - Hollow block
A hollow block is a prism with base dimensions a = b = 29 cm and height v = 15 cm. The wall thickness is 4.5 cm. What percentage of the block's volume is its cavity? - Skiing trip
Ski equipment costs 4,560 CZK in the summer, but at the beginning of the ski season, it increases to 10,032 CZK. By what percentage is the winter price higher? - Vertical movement
Find the length of the vertical path you must travel to lift a weight using a force of 0.01 N and do 1 J of work. - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed. - Clothing
Winter clothing was first reduced by 20% in the spring, and then the new price was reduced by a further 25%. What was the original price of a winter jacket if it was sold after the double discount for 1,050 CZK? - Aluminum ignote
At what temperature did the temperature stabilise if an aluminium ingot weighing 45 kg, initially at 15 °C, received 4.8 MJ of heat? The specific heat capacity of aluminium is 896 J/(kg·°C). - Didactic test B0
A tourist cycled 28 km on an asphalt road and 25 km on a dirt road, taking 3 hours and 36 minutes in total. At what speeds did the tourist travel each section if he rode 1.4 times faster on the asphalt road than on the dirt road?
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