Math practice for 13 year olds - page 121 of 413
Number of problems found: 8253
- Natural number expression
Find the largest natural number n for which the expression value (37-2n) / 3 equals the natural number. - Percentage - rhombus
If the side of the rhombus in the image increases by half, by what percentage will the area of the rhombus increase? - Circle waste percentage
A full circle is cut from a square plate with a side of 200 mm. What percentage of the plate is waste? - Scooter distance directions
Kate and John set out on their scooters at the same time. Kate rode at a speed of 4.5 km/30 min, and John rode at a speed of 4 km/20 min. a) How many meters did they travel in 2 minutes if they went in opposite directions? b) How far apart were they when - Percentage - prism and cube
Prism with square base a=25 cm, height h=45 cm. cube: b=15 cm a) what percentage of the volume of the prism is the volume of the cube? b) what height should the prism have to have the same volume as the cube? - Cleaner hours extension
The department store originally employed 8 cleaners for reduced working hours of 4 hours a day. When two of them terminated their employment, 6 cleaners agreed to extend their original daily working hours. Specify its length in hours and minutes. - Black car probability
Oskar observes the arrivals and departures of cars in the parking lot. At one point, there were 99 cars in the parking lot: 25 red, 17 white, and the rest were black. What is the percentage probability that a black car was leaving the parking lot at a giv - Plot map area
On a map with a scale of 1:30,000, the plot is represented by a square with a side of 6 cm. What is the area really like? How many times is the actual plot larger than its image on the map? - Square quadrilateral area
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm². - Hexagonal wax
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - Percentage - b/g students
There are 584 students at the school, 421 of them boys. What percentage of students are girls? - Clock hand angle
What is the angle of the hour and minute hands on the clock of the old tower if it is exactly eight o'clock? - Chocolate candy ratio
I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met. - Concentrate - juice
To produce one litre of 100% juice, 2 kg of fruit are needed. Juice is made by pressing the fruit into a pulp, drying it to obtain a concentrate, which is then transported to a processing facility where it is diluted again. How many litres of fruit juice - Lift box capacity
The lift has a load capacity of 250 kg. How many 15-kilogram boxes can a person weighing 80 kg maximally take? - Tourist bench seating
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Trapezoid coordinate drawing
Draw a trapezoid in the coordinate system with bases 4 cm long, 2 cm long, and 3 cm high. Please write down the coordinates of its vertices. - Stair climbing performance
A person weighing 50 kg can climb 15 stairs. One step is 18 cm high. Determine a person's performance when: a) slowly climbing the stairs if it took him 13 seconds b) going down the stairs slowly if it took him 10 seconds c) quickly climbing the stairs if - Board triangle ratio
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Cylinder cube water
We placed the largest possible lead cylinder inside a 1-litre cubic container. How many decilitres of water will now fit in the container?
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