Maths practice for 14 year olds - page 43 of 367

Number of problems found: 7336

Minutes in Percentage
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 annual interest rate was applied?
Cheaper skis
In Tesco, skis originally priced at 9,000 CZK were reduced by 30%. In Makro, the same skis were first reduced by 20% and then, a week later, by a further 10%. Where were the skis cheaper in the end?
Maths exam
One third of all students in a secondary school passed the maths exam. Five of these students then failed the maths exam retake. One quarter of all students in the final year of the secondary school passed the maths exam. Calculate the total number of stu
Three items
The price of a product is determined by these three items: the price of equipment (hardware), the price of software, and the profit. The price of the software was 500 Kč higher than three times the price of the hardware. The profit was set twice as high a
Imaginary number
If we add 120 to a certain number, we get 36 more than if we multiply the number by 5. Determine the number.
On the circular 3
On the circular lid 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 each with a diameter of 3 mm. Determine the ratio of the
Fair
Several students from our class went on excursions and each paid the same amount. In the end, some money was left over that needed to be returned to them. If we returned €3 to each person, there would still be €5 left. If we returned €4 to each person, th
Infinite speed
A runner completes 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 overall average speed for both laps is 10 km/h?
Calculate 5
Calculate the area and perimeter of a trapezoid with side a = 10, angle α = 40°, angle β = 50°, and side c = 3.
Compound fractions
Simplify the compound fraction using known formulas: (4a²-12a+9)/(4a-6)
Construction - Euclid
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?
Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
Groundwater
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum
3 weights
A two-arm lever has a 0.5 kg weight on the left arm at a distance of 64 cm from the axis of rotation, and a 0.8 kg weight at a distance of 30 cm from the axis of rotation. How far from the axis of rotation on the right arm must a 0.7 kg weight be placed f
Wrench Lever Force
The key works like a lever, where one arm is the radius of the bolt, and the other is the length of the key. If key no. 12 (for screws with a diameter of 12 mm) and a length of 12 cm can be tightened with a maximum force of 100 N, what force does the wren
Heptagon perimeter
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5 cm.
Staircase - escalator
An escalator moves downward at a speed of 0.6 m/s at an angle of 45° to the horizontal. A person weighing 80 kg walks upward on it at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he reaches a height of 2
The Celebration
Five boys and five girls were nominated for a celebration at a local school. How many ways can the prom king, prom queen, and two other students be chosen from those nominated? (The king must be a boy, and the queen must be a girl)

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