Maths practice for 12-year-olds - page 262 of 351
Number of problems found: 7008
- Cross-section 5089
The brick pillar with a cross-section of 41x77 cm has a height of 3.25 m. Calculate: (a) the volume of the pillar b) the required number of bricks (if we need 400 pieces per 1 cubic meter) - Clocks
The length of the minute hand is 12 cm. What track in meters will its endpoint describe in a week? - Prism dimensions
We will double one block dimension and reduce the other by a third. How does its volume change? - The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels? - Flowerbed 5076
We will plant 24 lettuce seedlings on the 8.4 m long flowerbed. How far apart will we bet them? (Ignore the margins at the beginning and end of the flowerbed.) - Grandfather's 5075
They have already produced 2,000 parts in their grandfather's workshop, five-sixths of the plan. How many components should they produce in total? - Organizers 5064
Eight hundred people came to the concert, a quarter more than the organizers expected. How many people did the organizers expect? - Tailor
From the rest of the cloth, the tailor could cut off either 3 m in men's suits without a vest or 3.6 m with the vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) With a vest, could you make the tailo - Roses 2
Aunt Rose went to the flower shop to buy three rose bouquets. The flower shop had white, yellow, and red roses. How many different flowers bouquets can a flower make for Aunt Rose create? Write all the bouquet options. - Guess a fraction
Tom was asked to guess a fraction. The sum of 1/2 of the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in the simplest f - Outstanding 5054
I have CZK 6,155, and I need to divide it as a percentage into two outstanding amounts: CZK 12,000 and CZK 35,000. How much money will I send to each of them? Thank you for your answer. - Pills
If it takes 20 minutes to run a batch of 100 pills, how many minutes would it take to run a batch of 50 pills? - Triangular prism
Calculate the volume and surface of the triangular prism ABCDEF with the base of an isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm. - Cross-section 5048
A path will lead to an embankment across the floodplain. The embankment will be 2 km long and have the shape of an isosceles trapezoid in cross-section with base lengths of 12 m and 8 m and a height of 2 m. Calculate the volume of material needed to build - Quadrilateral 5047
How many liters of gasoline are in the tank in the shape of a quadrilateral prism with the base of a diamond with a side of 25 cm and a height of 15 cm? The gasoline reaches 4/5 of the tank height, and the tank height is 50 cm. - Display case
Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. - Thales
Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm, as shown. Calculate the depth of the hole. - Population 5039
Each Martian has 1,2,3 feeler on his head 1 feeler = 2% of the population 2 antennae = 97% of the population 3 tentacles = 1% of the population What percentage of Martians have more antennae on their heads than the population average? - Services 5038
At the camp, half of the boys went on a trip one day, a third went swimming, and 17 boys had various services. How many boys were there in total at the camp? How many boys were on the trip, and how many were swimming? - Inspectors 5037
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days?
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