Maths practice for 14 year olds - page 41 of 361
Number of problems found: 7217
- 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? - Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that absorbed 3.5 kJ of heat when heated to 39 °C? The specific heat capacity of iron is 450 J/(kg·°C). - Calorimetric equation
A 200 g aluminium cylinder at 180 °C was dropped into 3 kg of water at 25 °C. At what temperature did the mixture stabilise? The specific heat capacity of water is 4,200 J/(kg·°C) and of aluminium is 896 J/(kg·°C). - By mass
How much heat must be supplied to completely melt 45 kg of potassium initially at 22.4 °C and bring it to a temperature of 98 °C? The specific heat of fusion is 25.5 kJ/kg, the melting point is 63.32 °C, and the specific heat capacity of potassium is 757. - Crowbar - lever
How much force must be applied to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if the crowbar rests on the ground and the door stands on it 35 cm from the ground-end?
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