Maths practice for 12-year-olds - page 51 of 355
Number of problems found: 7086
- Sheet metal troughs
A farmer orders sheet metal troughs from a tinsmith for loading calves on pasture. The tinsmith looks at a picture of the trough and estimates how much sheet metal he will need for one trough. Determine the sheet metal consumption, add 15% for waste and j - Similar triangles
We have similar triangles ABC with angle CAB=45° and angle ACB= 30° and a similar triangle OPN. What is the angle NOP in a similar triangle? - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf - Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm. - Posters on Cone
The stand on which the posters are stuck has the shape of a cone. It is 2.4m tall. The side of the cone is 2.5 m long. How many 40cmx60cm posters can be stuck on the stand so they do not overlap? - Positive or Negative Pressure
The total pressure in the container is 5 MPa. Is there negative or positive pressure in the container (write the answer as A or B)? - Telegraph poles
How much wood was used to make 200 telegraph poles 6 m high and 15 cm in diameter? - Timetable 2
A train runs according to a regular schedule from city A to city B, 270 km away, in 3 hours. On Monday, the train left city A with a delay of 18 minutes, but it arrived in city B according to the schedule. How many km/h was the average speed of the train - Red and Blue Candies
The candy store sold two types of chocolate candies. Red for 8 Sk and blue for 6 Sk. We bought 20 candies for 136 CZK. How many candies are blue and how many red? We have red candies: We have blue candies: - Finding the Number
If I subtract 3/5 from it, I get 2/5. What number do I think? - Product 3DN
How many three-digit numbers are there whose product of digits is 5? - Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²? - Following bike
At 8:00 a.m., my son rode a bicycle at a speed of 18 km/h. at 8:20 a.m., his father followed him at a speed of 60 km/h. How long will it take for Dad to arrive? - Purchase - owners
The house is divided between the owners in shares of 1/8, 1/12, 1/6, 1/8, 1/4, and 1/4. Except for one with a 1/4 share, they decide to sell their shares. How will he divide the purchase price of CZK 12960000? - Finishing Tasks Earlier
Nine-year-old Lucia is preparing for testing. He solves a collection of 40 tasks per day. He will need 9 days to solve all the tasks. How many days earlier would she finish if she solved 60 tasks a day? - Paint for Pool Perimeter
The swimming pool is 25 m x 12 m. The safety coating around the perimeter needs to be restored. One can of paint is enough to paint 15 m. How many cans of paint should be bought? One can cost 300 Sk. How much SK will we pay for the paint? - Deciliters - balls
We placed 10 layers of 100 balls with a diameter of 1 cm in a cube-shaped aquarium with an inner edge length of 10 cm. How many deciliters of water could still fit in the aquarium? - Egg Laying Rate
One and a half hens laid one and a half eggs in a day and a half. How much will six hens lay in seven days? - Protectors
The nature protectors have pledged to clean the part of the stream that belongs to their municipality. On Saturday, they cleaned one quarter of the length of the entire stream, and on Sunday, 1.5 km, so they cleaned a stream 4 km long over the weekend. Wh - Distance from Wheel Rotation
Škoda Kadjar has a wheel diameter of 65 cm. What path will it travel if it turns 100 times?
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