Maths practice for 12-year-olds - page 355 of 356
Number of problems found: 7113
- Mine
The wheel in a mine hoist has a diameter of 4 m. How many metres does the elevator cabin travel if the wheel rotates 89 times in the same direction? - Clocks
How far does the tip of a clock's minute hand travel in 340 minutes if the minute hand is 23 cm long? How far does the tip of the hour hand travel in the same time? - Kites
Boys fly kites on cables 68 metres long. What is the altitude of a kite if the cable makes an angle of 72° with the horizontal? - Shape
A plane figure has a maximum area of 677 mm². Calculate its perimeter if the perimeter is to be as small as possible. - Maximum area of rhombus
At what interior angles does a rhombus have the maximum area? - Lunch for free
Meal vouchers are a tax-free employee benefit widely used in Slovakia. The company issuing meal vouchers charges a 4.3% fee on their total value. Calculate how much an employee effectively receives if they get 201 meal vouchers worth 3.2 € each per year. - Number ratio
Calculate two positive numbers. Its ratio is 6:18, and difference was 372. - Farmer
A farmer cultivates 244 ha of arable land, which represents the part of his land that is not meadows and pastures. The remaining 12% consists of meadows and pastures. How much land does the farmer own in total? - Rhombus angles
If one angle of a rhombus is 137.6°, what is the size of the adjacent angle? - Rhombus HP
Calculate the area of a rhombus with height 48 cm and perimeter 64 cm. - Drunk man
The drunk man has 2.6‰ of alcohol in his blood. How many grams of alcohol has in his blood if he has 5 kg of blood? - Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x). - Scientists from the Social Insurance
Pavol went on sick leave and the social insurance office granted a daily sick pay of 12.68358032 EUR. Calculate how many days it will take Pavol to save up to the price of 0.15 EUR, given that the last decimal place of the daily sick pay is discarded each - Triangles
An equilateral triangle with a side of 16 cm has the same perimeter as an isosceles triangle with a leg of 23 cm. Calculate the base of the isosceles triangle. - Ladder
A ladder 8 m long is leaning against a wall. Its foot is 1 m away from the wall. At what height does the ladder touch the wall? - Percent calculation
Calculate 12% if 41% is 74. - Car inflation
What percentage of car price increases if the price rises from €4790 to €4890? - Two numbers
Find two numbers whose difference and the ratio are 4. - Acid
A barrel contains 79 litres of 60% acid. What percentage of acid remains when 4 litres are removed and replaced with the same amount of water? - Ratio
5 numbers are in the ratio 1:2:4:5:5. Their sum is 29172. What are the numbers?
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