Maths practice for 12-year-olds - page 59 of 354

Number of problems found: 7068

Merry-go-round angular velocity
Calculate the magnitude of the angular velocity of the seat of a merry-go-round moving in uniform motion in a circle with an orbital period of 0.2 minutes.
Traveled journey
The tourist traveled 3/8 of the planned journey on the first day and 7/12 of the trip on the second day. On which day did he travel most of the way, and by how much?
Container water fraction
The container was filled with water. Peter poured out 2/9 of the water, and Kate poured out 1/6 of the water. What fraction of the water remained in the container?
Ton hour comparison
A) how many kg is 4/5 tons more than 7/10 tons? b) by how many minutes is 1/3 of an hour less than 5/6 of an hour?
Paper box volume
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box?
Aquarium water liters
We are to fill an aquarium with a bottom dimension of 30 cm x 30 cm with water. How many liters of water will we need if we pour water to a height of 20 cm?
Square tile paving
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be?
Pocket money
Charles spent half of his pocket money. He gave two-thirds of the rest to his friend Michael. He had 50 CZK left from his pocket money. A. Calculate how much money Charles gave Michael. B. Calculate how much money Charles received as pocket money.
Fruit packages
In a sorting room, fruit packages were prepared from oranges and mandarins. Into 35 packages they put the same number of oranges and mandarins. Into another 25 packages they put only oranges. The number of pieces of fruit was the same in all described pac
Cylinder shell volume
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid.
Granite buoyancy pressure
A granite cube with an edge length of 1 dm and a weight of 2.5 kg is completely immersed in a container of water. How much buoyancy does it lighten? How much pressure does the cube exert on the bottom of the container?
Nozzle water speed
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²?
Student trip fraction
Of 32 students in the class, 3/4 of the children were on the trip. Write as a fraction what part of the students stayed at home. How many students were on the trip?
Forest plot ratio
The sides of the rectangular forest plot are in the ratio 11:7. The shorter side of the plot is 175 meters long. Calculate the longer side of the rectangular plot. How many steps would we take if we went around the whole lot? The length of 1 step is 60 cm
Minute hand angle
The minute hand describes an angle of 180 degrees in half an hour. In how many minutes does the minute hand cover an angle of 192 degrees?
Wheel peripheral speed
Calculate the peripheral speed of the number on the Wheel of Fortune if the wheel rotates within a period of 0.25 seconds and the number is written 1.5 m from the center of the wheel.
Identical cubes
What is the volume of a large cube composed of 27 identical small cubes with an edge length of 3 cm?
Fraction halfway number
Which number is halfway between a quarter of a fifth and a half of a third on the number line?
box orders
You must order 100 wooden boxes from the United States of America. Each box costs $2.35 (dollars). How much will the order cost in £ (GB pounds)? The exchange rate is $1 = £0.70
Triangle sides - natural
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have?

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