Maths practice for 12-year-olds - page 268 of 347

Number of problems found: 6932

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%?
Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters.
Majorette rows
During a public performance, majorettes line up in three-step, four-step, six-step, and eight-step. All rows are full with each grouping, and no majorette is promoted. Determine the smallest possible number of majorettes for which a performance can be mad
Family
The son is 3/5 smaller than the mother, who is 99 cm higher than the son. Thus, the mother is 3/5 taller than the son.
Diagonal of square
Calculate the side of a square when its diagonal is 10 cm.
Car overtaking
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
Car meeting
It is 162 km from Nitra to Brezno. Two cars on the same route will leave both places simultaneously. A vehicle from Nitra travels at a speed of 60 km/h, and a car from Brezno travels at a speed of 75 km/h. How long and at what distance from Nitra will the
Withdrawal
Suppose I withdrew 2/5 of my total savings and spent 7/10 of that amount. What fraction do I have left in my savings?
Digit sum
Determine how many integers greater than 900 and less than 1,001 have the digit sum digit of the number 1.
MO-I-Z6
A square with a side of 4 cm is divided into squares with a side of 1 cm as shown in the figure. Divide the square along the marked lines into two figures each with a perimeter of 16 cm. Find at least three different solutions (i.e. three solutions such t
Formula expression
1 / f = 1 / a + 1 / b express b
Sequence members
Find out the other three members of the sequence and write their sum: 1,29,2,28,3,27,
Motorcycle overtaking
A truck that is 6 m long travels at a speed of 66 km/h. A motorcycle traveling at a speed of 20 m/s overtakes him. Overtaking starts 16 m behind the car and ends 18 m in front of the car. How long does this overtaking last, and what track does the motorcy

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