Math practice for 13 year olds - page 336 of 424

Number of problems found: 8461

Bookshelve
Bookshelves with an original price of € 200 have twice become cheaper. After the second 15% discount, the price was € 149.60. Determine how much % becomes cheaper for the first time.
EQ2
Solve a quadratic equation: 2x²- 2(x-7)²+5x=0
The car
The car traveled the distance between A and B for four hours. If we increase the average by 17 km/h, the car travels this distance an hour earlier. Determine the initial speed of the car and the distance between A and B.
The creek
Workers cleaned the creek within three days. On the first day, cleanse one-fifth of the creek's length; the next day, 40% of the stream's length; and on the third day, 8 km length of the creek. How long is a creek?
Minute
Two boys started from one place. The first went north at a velocity of 3 m/s, and the second to the east with a velocity of 4 m/s. How far apart are they after a minute?
Jam
A jar with jam weighs 800 grams. Jam weighs three times as much as the empty glass. What is the weight of the jam that is in the glass?
Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length.
Interst on savings
The bank offers 1.6% interest. How many euros do we have to insert at the beginning if we receive € 15 on the interest?
The deposit
A deposit of € 2,612.5 was placed for one year at an annual rate of 4.5%. After one year, the amount rose to € 2,612.5. Find the initial deposit.
Vintner
How high can a vintner fill the keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base of 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the
Washing mashine
The family buys a washing machine for 350e. Cash paid 280e. What percentage of the total price must still pay the washer?
Triangle ABC
Construct a triangle ABC is given c = 60mm, hc = 40 mm and b = 48 mm analysis procedure steps construction
3 masons
Three masons received 7,700 CZK. The second half received 1/2 more than the first, and the third twice more than the second mason. How much do they each have crowns?
Factory and divisions
The factory consists of three auxiliary divisions and a total of 2,406 employees. The second division has 76 employees less than the 1st division, and the 3rd division has 212 employees more than the 2nd. How many employees have each division?
Remuneration
Total remuneration for workers is 47,000 CZK. The second worker received 20% more than the first and the third 4000 CZK less than the second employee. How many CZK does each receive?
Jane class
When asked how many students were in class, Jane said, "If we increase the number of students in our class by 100% and then add half the number of students, we get 100." How many students are in Jane's class?
Factory
In the factory, workers work in three shifts. Half of all employees work on the first shift, a third on the second shift, and on the third shift 200 employees. How many employees work at the factory?
Eight palm
There grow eight palms by the sea. At the first sitting, one parrot, on the second two, on the third sits four parrots on each other, twice the previous parrots sitting on a previous palm. How many parrots are sitting on the eighth palm?
Boxes
Two hundred boxes have been straightened in three rows. The first row was 13 more than in the second, and the second was one-fifth more than in the third. How many boxes are in each row?
Fe vs. H2O
The volume of what the body of the same weight is greater: iron or water?

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