Maths practice for 12-year-olds - page 198 of 347
Number of problems found: 6923
- Floating of wood - Archimedes law
Wooden balsa block has a density of 200 kg/m³ and a volume of 0.02 m³ floating in alcohol. Alcohol density is 789 kg/m³. What will be the volume of the floating part of a balsa block? - Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Number multiplication puzzle
Which number needs to be multiplied by 2 3/4 to get 8 1/3? - Common divisors
Find all common divisors of numbers 30 and 45. - Triangle exterior angle
The interior angles of the triangle are 108 degrees 45 minutes and 51 degrees 19 minutes. Calculate the outside angle at the third vertex. - Grandpa MO Z5–I–5 2019
Grandpa has three apple trees in his garden with a total of 39 apples on them. There are apples on only eight branches: one apple tree has two branches, and the other two apple trees have three branches each. Different branches bear different numbers of a - Numbers division
What number should be divided by the mixed number 2 3/4 to get 11/12? - Absolute reciprocal calculation
What do I get by multiplying the absolute value of -0.7 and the reciprocal number of 10? What do I get by dividing the opposite number by the number -14/8 and the reciprocal number to the number 4? - Tractor motorcycle pursuit
The tractor leaves the field and heads towards an agricultural cooperative 14 km away at an average speed of 20 km/h. Twenty minutes later, an agronomist followed him from the same field on a motorcycle at an average speed of 45 km/h. Will he catch up wit - Buying confectionery
Jana spent 1/2 of her savings on the confectionery, gave 1/3 for her notebook, and had 7 euros left. How many Euros did Janka save? - Perimeter of the garden
The length of the garden measures 27 1/4 m. How many meters is this dimension larger than the width of the garden, which measures 15 1/2 m? Calculate the perimeter of the garden. - Number fraction puzzle If we add 1/7 to the given number, we get 1/2. Specify the number.
- Map scale distance
The particular map has a scale of 1:75000 a) The distance between the two places on the map is 42 mm. What is the actual distance? b) How long would the distance show, 15.75 km on the map? - Trees 6
On an island there grow side by side seven trees: linden, poplar, maple, oak, beech, acacia, and willow. Under one of the trees a treasure is buried. Lukáš found out from the guardian of the island that if he walks past the trees up, down (linden, poplar, - Cut trees
There are 1,200 trees in the grove, of which 55 percent are deciduous, the remaining coniferous. Workers cut down 35 percent of a) trees, b) deciduous trees, and c) coniferous trees. How many trees now have this grove? - Cement consumption calculation
During concreting, the workers used 1/2 of the total amount of cement on the first day, 1/2 of the rest on the second day, and the remaining 15 q of cement on the third day. How much cement did they consume in total? - Sparklers
Roman lit his 10 equally-sized sparklers one by one on New Year's Eve. He lit the first one. When only one tenth of it remained, he lit the second one; when only one tenth of that remained, he lit the third, and so on. The sparklers burn at a constant rat - Pool bucket emptying
How many five-liter buckets will empty the pool measuring 2.4m and 2.8m, and 1.4m deep? - Meteorological measurement
The meteorological measurement showed the evening temperature at 18:00 at 21.3 degrees. At 21:00, the mercury on the thermometer stopped at 20.5 degrees. By how many degrees did the evening temperature drop in 3 hours? - Square garden calculation
The square garden has an area of 735 m² and is completely fenced. Calculate the length of the garden side and the length of its fence.
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