Maths practice for 12-year-olds - page 140 of 362
Number of problems found: 7223
- The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - Calculate 46381
Calculate the volume of the two pots and compare them. The first pot is 40cm high, and the diameter of its bottom is 24cm. The second pot is 24cm tall, and the diameter of its base is 40cm. - A large 2
A large popcorn bag holds four times as much as a small popcorn bag at the end of the party, with 3 1/3 small bags and 2 1/4 large bags left. How many small bags with the leftover popcorn fill? - An architect 2
An architect is designing a house. He wants the bedroom to be 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Sol - Cylinder from paper
We roll a cylinder with a height of 30 cm from a rectangle measuring 20 x 30 cm. Find its volume and surface. - Instructions 46331
According to the instructions, you need to add two and a half scoops of ecological cleaning agent to 10 liters of water. The measuring cup is a cap with a volume of 50 ml. Determine the ratio in which this agent is mixed with water. - Wood material
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of: a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³).
- Living room
Marina's new living room is a rectangle with a length of 8 meters and a width of 5 meters. She wants to buy a carpet to cover half of the living room, and each square meter of the carpet costs $4. How much will the total cost for Marina be? - Circular track
The circular running track has a radius of 50 m. How many laps does a runner have to do to run 5 km? - Length 46191
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level? - Circumference 46181
Calculate the area of a circle that has a circumference of 314 cm. - Diameter 46141
The road roller has a diameter of 1.4 m and a length of 160 cm (a) how many square meters the road rolls when it turns 95 times b) how many times does it turn when rolling a 3 km-long section - The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 of each tank base. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate - Jonah
Jonah has an 8-pound bag of potting soil. He divides it evenly among five flowerpots. How much soil is in each pot? Show your answer as a fraction or mixed number. Solve this problem any way you choose. - Cylinder 46101 Barell has a cylinder shape, a volume of 130 l, and a base radius of 30 cm. What is the height of the barrel?
- Third interior angle
Find the third interior angle of the triangle ABC where: α = 48°, γ = 65°. - MO Z7-II-1 2020
Dragons and cyclops live on a fairy-tale island. All dragons are red, three-headed, and two-legged. All cyclops are brown, one-headed, and two-legged. Cyclops have one eye in the middle of their foreheads, dragons have two eyes on each head. Cyclops and d - A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope? - The vase
The vase is a cylinder with a diameter of 1.2 dm. From the upper edge to the water level, it is 20 cm, and the water depth is 35 cm. If it were filled to the brim, how much ml of water would fit in it? - Representing 46031
Róbert's children's room has a rectangular floor plan, and the carpet that covers the entire floor has an area of 12 m². One side has a dimension of 2.5 m. The plan of this room is drawn on a scale of 1:100. What is the perimeter of the rectangle represen
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