Maths practice for 12-year-olds - page 274 of 361
Number of problems found: 7210
- The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight. - Simultaneously 4412
While hunting, the dog sees a hare in the bushes 20 meters ahead. The hare starts running, and the dog starts chasing it simultaneously. A hare runs at a speed of 39 km/h, and a dog at 45 km/h. In how many seconds does the dog catch up with the hare? - Cylinder-shaped 4411
A cylinder-shaped hole with a diameter of 12 cm is drilled into a block of height 50 cm with a square base with an edge length of 20 cm. The axis of this opening passes through the center of the base of the cuboid. Calculate the volume and surface area of - Ice and water
We want to cover a rectangular rink with dimensions of 55 m and 25 m with a 4cm thick layer of ice. How many liters of water do we need if freezing water increases its volume by 10%? - Centimeters 4404
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - Performance 4403
During a public performance, majorettes line up in three-step, four-step, six-step, and eight-step. All rows are full with each grouping, and no majorette is promoted. Determine the smallest possible number of majorettes for which a performance can be mad - Rectangular 4402
Our task is to save the rectangular images with dimensions of 105 mm and 42 mm so that we cover the smallest square. What will be its size, and how many pictures do we need?
- Family
The son is 3/5 smaller than the mother, who is 99 cm higher than the son. Thus, the mother is 3/5 taller than the son. - Letohrad 4396
On a map at a scale of 1:400,000, the distance between Letohrad and Prague is 4.5 cm. What speed does Dad have to go to be in Prague at 9 o'clock when he leaves at 6 o'clock, 40 minutes? - Diagonal of square
Calculate the side of a square when its diagonal is 10 cm. - Kilometers 4391
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive? - Simultaneously 4390 It is 162 km from Nitra to Brezno. Two cars on the same route will leave both places simultaneously. A vehicle from Nitra travels at a speed of 60 km/h, and a car from Brezno travels at a speed of 75 km/h. How long and at what distance from Nitra will the
- Withdrawal
Suppose I withdrew 2/5 of my total savings and spent 7/10 of that amount. What fraction do I have left in my savings? - Digit sum
Determine how many integers greater than 900 and less than 1,001 have the digit sum digit of the number 1. - MO-I-Z6 A square with a side of 4 cm is divided into squares with a side of 1 cm as shown in the figure. Divide the square along the marked lines into two figures with a perimeter of 16 cm. Find at least three different solutions (i.e. three such solutions that n
- Calculate 4382
Each has a width of 218 cm and an area of 10,900 cm². Calculate the height of the window. - Express 4380
1 / f = 1 / a + 1 / b express b - Sequence 4378
Find out the other three members of the sequence and write their sum: 1,29,2,28,3,27, - Motorcycle 4373
A truck that is 6 m long travels at a speed of 66 km/h. A motorcycle traveling at a speed of 20 m/s overtakes him. Overtaking starts 16 m behind the car and ends 18 m in front of the car. How long does this overtaking last, and what track does the motorcy - Sports students The school has 120 athletes, 48 volleyball players, and 72 handball players with extended sports training. Is it possible to divide sports students into groups so that the number in each group is the same and expressed by the largest possible number?
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