Math practice for 13 year olds - page 360 of 424
Number of problems found: 8476
- Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3. - Cat
Half of the rest postpone a new smartphone for one-fifth of the monthly pocket money contributed to Maros for food for his cat. The remaining € 8 is spent. How much pocket money gets Maros a month? - Circumference parallelogram
Calculate the circumference and area of the parallelogram ABCD if side a = 72 cm, height v = 4.3 cm, and second side b = 6 cm. - Shoes and slippers
Shoes cost three times as much as slippers. If shoes were 120 cheaper, they would cost twice as much as slippers. How much did the shoes cost, and how much did the slippers? - Trucks
The truck takes you some amount of clay in 30 hours. The second truck takes the same amount of clay in 40 hours. Trucks carted the clay away some time together, then the second truck broke down, and the first one completed the job in five hours. What time - Cycling stage
The cycling stage rises on two-fifths of the length of the route and decreases to 2/8. The rest of the stage is flat. How many km does the stage measure if the ascent is 4 km longer than the descent? - Trapezoid angles
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that - Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Family budget
The family pays 250 euros a month for food, which is 33% of the total budget. How much money do they have left for other expenses? - Lawn and garden
The garden around the new house is divided as follows: 30% flowers, 35% orchards, and 150 m² form a lawn. What is the total area of the garden? - Welders
The first welder can do a job in 6 hours and the second in 8 hours. How long would the third welder take to do the job alone, if all three together can complete the job in 2 hours? - Backpack carrying
Alex, Charles, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Charles carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the seco - Time for the Third Pump
A factory used two pumps to empty a tank. The first pump can empty the tank in 50 minutes, the second in 30 minutes. Both pumps were started simultaneously, but to empty the tank as quickly as possible, a third pump was also started after ten minutes. All - Left-handed writer
Eve, Lucy, Barbara, Ivy, and Sylvia are good friends, so they always want to sit at one long table next to each other in biology class. How many ways can they sit if Sylvia is left-handed and, therefore, always wants to sit on the left side of the table? - Cyclists meeting
Two cyclists will set off simultaneously from one place on the circular cycling track. How long before they meet? Do you know that Charles will drive in 6 minutes and Laco in 10 minutes? - Area decrease
If the area of the square decreases by 19%, by how much percent does the side of the square decrease? - Component weight
The component is a regular decagon with a side of 2 cm. Its material weight of 1 m² of sheet metal is 24 kg. What is the weight of 200 components?
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