Math practice for 13 year olds - page 51 of 413
Number of problems found: 8259
- Divisible PIN
Mark's mother helped him with his shopping. She wanted to pay by card when collecting the goods in person, but she was not sure what her PIN was. Could her PIN be a number divisible by six? - Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm? - Employees in a company
A company with 326 employees decided to build a parking lot for employees. In the parking lot design there are 84 parking spaces for cars. Each parking space for cars can be replaced with 3 parking spaces for motorcycles. Calculate the total number of veh - Determine 23
Determine in cm² the area of rectangle ABCD, whose longer side is a = 20 cm and whose diagonal is 10 cm longer than its shorter side. - Wall and ladder
A ladder leans against a wall, reaching a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - Production
A company's production in February was 15% greater than in January and 25% less than in March. By what percentage was production in March higher than in January? - Isosceles gable
The gable of a cottage roof is in the shape of an isosceles triangle with a base of 8 m and legs of 10 m. How high is the gable? - Diagonal 2
What is the area in square metres of a rectangular garden whose diagonal is 50 m long and whose width is 27 m? Round the result to the nearest whole number. - Acceleration of a car
What was the initial speed of a car that, after accelerating at 2 m/s², reached a speed of 30 m/s in 10 seconds? - Acceleration - free fall
How long will it take for a car to reach a speed of 180 km/h with an acceleration of 10 m/s²? - Rhombus - ratio
In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side. - Two cubes 3
Two cubes made of plasticine have single-digit integer edge lengths differing by 1 cm. Can a single larger cube with an integer edge length be made from the same total amount of plasticine? - Swimming pool 5
There are 5,500 men, women, and children at a swimming pool. There are twice as many women as men, and four times as many children as women. How many men, women, and children are there at the swimming pool? - Right Triangle Angle
In a right triangle ABC, hypotenuse c = 8 cm and leg b = 4 cm. What is the size of angle α? - What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm? - In a right-angled 15
In a right triangle ABC with hypotenuse c, leg b = 4.5 cm and tan α = 2/3. What is the length of leg a? - Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, leg a = 6 cm and sin α = 3/5. What is the length of leg b? - Four-digit - sum
A four-digit number has a digit sum of 20. The sum of its last two digits equals the second digit increased by 5. The sum of the first and last digits equals the second digit decreased by 3. If we write the digits of this number in reverse order, the numb - Probability - target
A target is divided into two zones. The probability that a shooter hits zone 1 is 21%, and the probability of hitting zone 2 is 48%. What is the probability that the shooter hits the target? - Mirka 2
Mira is saving for a bicycle. She already has €336, which is 1/5 more than half the price of the bicycle. How much does the bicycle cost?
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