Maths practice for 12-year-olds - page 254 of 307
Number of problems found: 6129
- The scale
The distance of 15 cm on the map corresponds to 27 km in reality. What is the scale of the map?
- Garden
The garden around the new farm is divided as follows: 35% vegetable, 30% fruit orchards, 10% flowers, and the remaining 120 m² are lawns. What is the total area of the garden?
- Grandfather's 3179
On a map with a scale of 1:5000, the grandfather's garden is represented by a rectangle measuring 4 cm and 3 cm. What dimensions will it have on a map scale of 1:4000?
- Traveled 3176
During the trip, the scouts ran 1/2 of the route on the first day, 2/5 of the route on the second day, and on the third day, they were still 12 km away. How many km have they traveled in all three days?
- Three-fifths 3174
The block-shaped pool is 8.5 m long, 4.3 m wide, and 1.5 m deep. How many hectoliters of water is in it when it is filled to three-fifths of the depth?
- Circumference 3170
Suppose we enlarge the side of the square by half the length, and the circumference of the square increases by 24 cm. Calculate the original side length.
- Calculate 3167
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle.
- Substituting 3165
Determine the value of the expression by substituting for the variables a = 5, b = 2, x = 3, y = 1: k = 4ab + 1/2 ab - 14 l = x² + 2xy + y² m = 5b³ - 4b²
- Measuring cork
Simon boasted that he had taken away a block of cork measuring 0.5m x 0.5m x 1.2m. Is it possible we know that 1 m of cubic cork weighs 300 kg and children from 10 to 15 years old can carry a maximum load of 5 kg?
- Calculate 3163
Calculate and convert: 0.2m² + 80dm² + 200cm² = how many m2
- Dimensions 3155
Míša bought an aquarium in the shape of a cuboid with bottom dimensions of 30 cm x 15 cm and a height of 20 cm. The seller advised him to fill the aquarium with water only to a height of 15 cm. How many swordfish can Micho buy for the aquarium if he knows
- Surface 3154
The cube's edge, the volume of which is 58.3% of its surface, is a) 3.5cm, b) 4.5cm, c) 2.5cm d) 1.5cm.
- Reappeared 3152
At 6:15, a ghost conjured a clock that showed the correct time. At that moment, the hands on the clock began to move at the correct speed but in the opposite direction. The ghost reappeared at 7:30 p.m. What time was the clock showing at this moment?
- Tank
1080 hectoliters of water were flowed into a cuboid tank whose bottom dimensions are 9 m and 15 m. This filled 40% of the tank's volume. Calculate the tank's depth.
- Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square.
- The cube
The cube has a surface area of 486 m². Calculate its volume.
- Joining 3 cubes
We place three identical cubes with an edge length of 3 cm on top of each other. What is the surface of the resulting block?
- Percentage 3138
What percentage are 720 liters of 6m³?
- Different 3137
Mark 4 different points O, P, R. S. Mark of line OP, OR, OS. Measure the marked lines.
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