Maths practice for 14 year olds - page 39 of 378
Number of problems found: 7550
- Emptying a tank
A water tank is emptied by one pump in 12 hours, by the second in 9 hours, and by the third in 4 hours. How many hours will it take to empty if all 3 pumps are turned on? - Withholding 83850
An employee receives a net salary of 5000 after a 15% withholding tax. What was the gross salary? - Prepare
From two types of tea priced at 1500,-Sk and 2100,- Sk per kg, 29 kg of a mixture is to be prepared for 1650 per 1 kg. How many kilograms of each type of tea should be mixed? - Chord 24
A chord with length t = r times the square root of two divides a circle with radius r into two circular segments. What is the ratio of the areas of these segments? - Insulating a house
Five workers are working on insulating a house at such a pace that they could finish the job in 18 days. After three days of work, two workers were called away to another construction site. In how many days will the remaining workers finish the job? - Repeatition not allowed
How many four-digit numbers can be formed from the numbers 3 5 8 9 if they are not allowed to be repeated? - Kilometers of the journey
A cyclist traveled 199 km in three days. On the first day, he traveled four times more than on the second day and on the second day, he traveled 7 km less than on the third day. How many kilometers did he travel each day?
- Plums - a quarter
How many plums were originally on the bowl if Iva ate a quarter, Jana a fifth, Mišo three-eighths, and then there were 7 left? - Minutes 83811
How many minutes is 45% of four hours? - Client
A bank client had €1,320 deposited in her account throughout the year. At the end of the year, €33 in interest was credited to the account. What interest rate was used to determine the principal? - Cheaper skis
In Tesco, skis for 9,000 CZK were reduced by 30 percent, in Makro they were reduced by 20 percent first, and after a week by another 10 percent. Where were the skis cheaper in the end? - Maths exam
One-third of all high school students passed the math exam. Five of these students failed the math exam. One-quarter of all students in the high school graduating class passed the math exam. Calculate how many students there were in the high school gradua - Imaginary number If we add 120 to the imaginary number, we get 36 more than if we multiply them by 5. Determine the imaginary number.
- On the circular 3
On the circular cap of a salt shaker with a diameter of 4.5 cm there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm, on the right are five small circular holes with a diameter of 3 millimeters. Determine the ratio of - Fair Several students from our class went on excursions. Everyone paid the same amount. In the end, there were a few euros left that needed to be returned to them. If we returned 3 euros to each person, there would still be 5 euros left. If we returned 4 euros
- Infinite speed
A runner runs her first lap of the track at an average speed of 5 km/h. How fast must she run her second lap so that her total average speed is 10 km/h? - Calculate 5
Calculate the area and perimeter of a trapezoid if side a=10, angle alpha 40 degrees, beta 50 degrees, and side c=3. - Compound fractions Solve the compound fraction, use the known formulas, and shorten the: (4a²-12a+9)/(4a-6)
- Construction 83662
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure. - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston?
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