Math practice for 13 year olds - page 310 of 413
Number of problems found: 8254
- Line distance
There are two points, K and L, KL = 4 cm. Draw a line p passing through point K and having a distance of 4 cm from point L. - Lump sugar
Cubed sugar in a 1 kg package is in a box with 20 cm, 12 cm, and 5 cm dimensions. a) How many sugar cubes with dimensions 2.5 cm, 2.5 cm, and 1 cm fit in the box? b) Calculate the mass of one cube. c) How many square meters of cardboard are needed to make - Box height
How high must the box, the bottom of which is a rectangle with sides of 40 cm, 625 mm, have a volume of 1 hl? - Trees
A young tree is 16 inches tall. One year later, it is 20 inches tall. What is the percent increase in height? - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Vehicle tank
A vehicle tank was 3/5 full of petrol. When 21 liters of fuel was added, it was 5/6 full. How many liters of petrol can the tank hold? - Ditch excavation
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Regular n-gon
Which regular polygon has a circumscribed circle radius of r = 10 cm and an inscribed circle radius of p = 9.962 cm? - Three harvesters
The first combine harvester will harvest the fields in 12 hours, and the second combine harvester in 8 hours. How long does it take for the same harvester to harvest the 3rd combine if all three harvesters harvest together in 2 hours? - Average speed
When the bus stops at a bus stop, the average speed is 45 km/h. It would drive at 54 km/h if it did not stop. How many minutes of every hour does it spend at stops? - Diagonals of a rhombus
One of the diagonals of a rhombus is twice the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus. - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol did the pharmacy get? - Water temperature
Mom is going to wash by hand in water that should be at 40 °C. The tub already has 10 liters of water at a temperature of 12.3 °C and can still hold 5 liters. What temperature should the water be allowed to be? - Factorial equation
Solve the equation: x!: 5 = 1008 The solution to the equation is a natural number. - Security
The safe's security code is set with three dials. The first dial has five different letters, the second dial has the numbers 0 to 4, and the third dial has the numbers 5 to 9. One code can be set in approximately 1 second. How should the alarm be timed so - Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be seven times older than him. Thus, Richard and his mom are seven times older. - Catching up
Peter and Charles live at the same address. Peter will drive to the stadium in 30 minutes and Charles in 40 minutes. If Charles leaves 5 minutes earlier, where will Peter catch up with him? - Oat bags
The cowboy will give the sheriff two bags of oats, and the sheriff will have 2x more bags than the cowboy. If the sheriff gives two bags of oats to the cowboy, they will both have the same. How many bags does each have? - Class arrangements
There are 4 classrooms on the ground floor of the school building, which are numbered 1,2,3,4. First-year students A, B, C, and D will be placed in these classrooms. Write all possible class arrangements and their number. - Orchard trees
Calculate how many trees are in an orchard if you know that 5/12 orchards consist of apple trees, 1/6 plums, and 1/60 walnuts. The remaining 30 trees are pear trees.
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