Maths practice for 12-year-olds - page 164 of 347
Number of problems found: 6923
- An architect
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the - All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a. - Cycling distance
We cycled 8 km, a third of the distance we traveled. How many kilometers do we have to travel? - Fly travel time
The fly flies at a speed of 8 km/h. How many minutes will it fly from one place to another, which is 1600 m away? - Group of children
There is a group of children. There is a boy named Adam in each of the three children subgroups and a girl named Beata in each quartet (four-member subgroup). How many children can be in such a group, and what are their names in that case? - Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr - Snail speed
The snail bought a turbulent and immediately exchanged it for an old one. Suddenly, it crawled 2,376 m/s. If the road was 1,188 m long, how long did it take to get home with the new shell? - Divisible by four
Are 240 divisible by 4? - Three-digit number creation
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one to have the same volume as the original ones. What is the length of the edge of this cube? - Ditch soil
How much soil is needed to dig a 200 m long ditch, the cross-section of which is a square with an area of 4812.5 cm2 - Granite column
A cylindrical granite column in a square is 8 meters high and has a diameter of 70 cm. I need to find out how much it weighs. Will this column support a truck with a load capacity of 8 tons? - Pool wetted area
The block-shaped pool with dimensions of 25 m and 12.5 m and a depth of 2 m is filled with 4/5 of water. Calculate the area of water-wetted areas. - Prism surface volume
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm. - A bus
A bus is scheduled to travel a distance of 121 km in 2 3/4 hours. What must the average rate of speed be maintained to arrive on schedule? - Line segment
Line segment AB is 8 cm long. Divide it by a ratio of 2:3. - The temperature 10
The temperature in a freezer is -15 °C, which increases by 3 °C. - Pyramid volume
Calculate the volume of a regular quadrilateral pyramid, the base edge of which measures 6 cm and the height 10 cm - The cube
The cube has a surface of 600 cm². What is its volume? - Journey route
During the three-day journey, the friends took 3/10 of the planned route on the first day and 1/4 of the intended way on the second day. How many km do they have left for the last day if the road is 80 km long?
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