Maths practice for 12-year-olds - page 267 of 347
Number of problems found: 6923
- Train speed
A train running at 20 m/s passes by an observer in 5 seconds. Another train, 250 m long, runs on the adjacent track in the opposite direction. Find the speed of the second train. - Book profit
How much more expensive is it for the owner to sell a book he bought in an antiquarian book for half the price if he sells it for two-thirds of the original price? - New bicycle
Mr. Milan bought a new bicycle. The Milan he chose was out of stock, so he had to order it. When ordering, he paid a deposit of 110 euros, which is 40% of the total price. How many euros did Mr. Milan's bike cost? - Fencing a Rectangular Plot
The Henderson family bought a rectangular plot measuring 30 and one-half by 26 and two-thirds meters. Before they start building, they want to fence it. How many meters of the mesh must they buy if they leave 23/8 meters for the gate? - Class students
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have? - The machine
The machine was in operation for nine-tenths (in a fraction) of eight hours of working time. How long has he been running? - Subjects
A student takes 5 minutes to complete a maths problem and 12 minutes to complete a biology problem. One day, he has a combined homework assignment of 11 problems that takes him one and a half hours to complete. How many problems are from each subject? - Evaluate expression
Evaluate expression using the BODMAS rule: 1 1/4+1 1/5÷3/5-5/8 - Dance group
What is the smallest number of members of a dance group with the same number of guys and girls, and at the same time they can form groups of three or five dancers while dancing? - Volume of an apple
How many apples will fit in a box measuring 20 cm × 50 cm × 25 cm? - Triangle arm
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle. - Volume mixing
What will be the resulting volume V, if we mix liquids with volumes of 3hl and 200 cubic dm A) V = 0.32 cubic meters B) V = 0.50 m cubic C) V = 23hl D) V = 5m cubic - Fraction equation
Find the value of x: x-4 / 3x-5 = x + 3 / 10-6x - Triangle perimeter
The area of an equilateral triangle is 81√3 cm². Calculate its circumference. - Circumference of isosceles tr.
In an isosceles triangle with a perimeter of 36 cm, the height at the base is 12 cm. Calculate the length of the arm of a given triangle. - Relationship - radius
Calculate the volume of the cylinder if the radius of the base is 3 cm, and the relationship between the radius of the base and the height of the cylinder is v = 3r - The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight. - Dog chase
While hunting, the dog sees a hare in the bushes 20 meters ahead. The hare starts running, and the dog starts chasing it simultaneously. A hare runs at a speed of 39 km/h, and a dog at 45 km/h. In how many seconds does the dog catch up with the hare? - Cylinder hole
A cylinder-shaped hole with a diameter of 12 cm is drilled into a block of height 50 cm with a square base with an edge length of 20 cm. The axis of this opening passes through the center of the base of the cuboid. Calculate the volume and surface area of - Ice and water
We want to cover a rectangular rink with dimensions of 55 m and 25 m with a 4 cm thick layer of ice. How many liters of water do we need if freezing water increases its volume by 10%?
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