Maths practice for 14 year olds - page 299 of 382

Number of problems found: 7626

Tangent length
There is a triangle ABC whose perimeter is 2 s (2 s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A.
EQ2
Solve a quadratic equation: 2x²- 2(x-7)²+5x=0
The car
A car travelled the distance from A to B in four hours. If the average speed is increased by 17 km/h, the car covers the same distance one hour sooner. 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?
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?
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?
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?
Boys and money
270 USD boys divided so that Peter got three times more than Paul, and Ivan had 120 USD more than Paul. How much was each received?
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?
Water wessel
The vessel containing water weighs 19 kg. After pouring half the water, it weighed 11 kg. What is the weight of the empty vessel?
The field
The player crossed the field diagonally and covered a distance of 250 m. Calculate the perimeter of the field if one side of the field is 25 meters.
Blueberries 2
Helen and Martin collected eight liters of blueberries in two hours. How long will Helen take to collect the blueberries alone if we know that she takes 2.5 hours less than Martin?
Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter chord is twice as far from the center as the longer one. Determine the radius of the circle.

Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.