Maths practice for 12-year-olds - page 224 of 347

Number of problems found: 6932

Composite ratio
Jakub, Aneta, and Lenka divided 1342 USD in the ratio of 5/2:3/10:1/4. How much did Lenka take?
Temperature 5
The temperature outside starts at 0 Fahrenheit. Over time, the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit?
Children's pool
The children's pool at the swimming pool is 10m long, 5m wide, and 50cm deep. Calculate: (a) how many m² of tiles are needed to line the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool?
Cage
How many m² of mesh does a farmer use for fencing a cuboid cage with 25m, 18m, and 2.5m dimensions?
Train Route Times Comparison
The train will run from Kockov to Drakov in 2 hours and 40 minutes, from Oslice to Kocourkov in 180 minutes, and from Kocourkov to Mokrov in 2 hours and 30 minutes. Which route will the train travel in the shortest and which in the longest time?
Railway car points
Some points are at rest in a moving railway car concerning the earth's surface. However, some points move in the opposite direction to the direction of the moving car's speed. Which points are they?
Tractor belt speed
The crawler tractor travels at a speed of 5 m/s. How fast are the top and bottom of the tractor belt relative to the road surface?
Table leg painting
The carpenter needs to make 4 wooden legs for the table, which have the shape of a regular 4-sided prism with dimensions of 9 cm × 9 cm × 60 cm. He will paint them all over with white paint. How many m² of surface must be painted?
Cube Edge Length Surface
When the surface of a cube is S = 150 cm², what is the length of its edge a =?
Pool Water Height Volume
The pool measures 4 m and 3 m, and 2.5 m. What height does the water in the pool reach if 25 m³ of water has been added? Round the result to centimeters.
Balls Bet Win
Josef had three balls less than Jan. They bet ten balls, and Josef won. Who has more balls now?
Supplementary angles
One of the supplementary angles is larger by 33° than the second one. Calculate the angles sizes.
Circumference - trapezoid
Calculate the circumference of the trapezoid if the lengths of the sides are as follows: a = 26 cm, b = square root of 50, c = 9 cm, d = 13 cm.
Edges or sides
Calculate the cube volume if the sum of the lengths of all sides is 276 cm.
Athletes
At the stadium, athletes could enter two-steps, three-steps, four-steps, five-steps, and six-steps. There were more than 100 but less than 200. How many athletes were there?
Bus Lines Departure Time
Three different bus lines, 80, 81, and 82, depart from the final station at 5 h 20 min. Line 80 departs every 30 minutes, line 81 every 20 minutes, and line 82 every 40 minutes. What time will they leave again?
Ping time
Calculate the theoretical ping time between Orlando and Shenzhen, which is 14102 km distant. Ping time measures the round-trip time for small messages sent from the origin to a destination that is echoed back to the source. The name comes from active sona
Phone plan
Victoria's cell phone plan costs $30.00 a month. How much did Victoria pay per minute if she used 12.5 hours in May?
Perimeter of square
The square has a circumference of 17 cm. What is its area?
Water level
How high is the water in the swimming pool with dimensions of 37 m in length and 15 m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second?

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