Maths practice for 14 year olds - page 101 of 376
Number of problems found: 7503
- Cube edge reduction
If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm². Find the edge length and volume of the original cube. - Class height average
In the 8A class, the average height of 12 girls is 156 cm, and the average height of 14 boys is 172 cm. Calculate the average number of students in 8A. - Coin crown savings
Petra has two-crown and five-crown coins. He has ten coins in the coffers. How many two crowns and five crowns if she saved CZK 29? - Fire extinguisher weight
During the fire extinguishing exercise, 40% of the foam was sprayed from the foam fire extinguisher. The entire device weighed 7 kg, and after training, it dropped to 4.6 kg. What was the weight of the empty device? - Circumscribed decagon
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this decagon. - Diamond diagonal area
The KLMN diamond has a circumference of 32 cm, and the intersection of its diagonals is 3 cm away from the LM side. What is the area of the diamond? - Chord circle length
The chord AB is in the circle k with a radius of 13 cm. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string? - Triangle perimeter height
Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. - Field sowing days
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last? - Sibling brigade ratio
Siblings Peter, Pavel, and Lucie shared the money from the brigade in a ratio of 6:3:4. Peter got 48 euros more than Lucie. How much did they all get together? - Dice color probability
In an opaque box, identical cubes of different colors: 15 are red, 8 are blue, and 7 are green. We successively drew 10 red, 4 blue, and 3 green dice. What is the probability that we draw a red die from the remaining dice in the next roll? - Iron sulfide composition
How many kg of iron and how many kg of sulfur does 100 kilograms of iron sulfide (FeS) contain if the relative atomic weight of iron is 52 and sulfur 32? - Four-digit code letters
A four-digit code has the letters A, B, and C in the first two places and numbers 1, 2, 3, and 4 in the following two places. How many different codes can be made if we can repeat both letters and numbers in the code? - Car plant employees
4020 employees work in the car plant. 35% of the work by bus, 40% by car, and the rest by bike. How many employees go to work by bike? - Water pipe flow
Water flows out of the tank in 28 minutes via three identical pipes. How long would it run through seven similar pipes? - Book discount twice
The book was twice as 10% cheaper as € 5.60. How much does it cost now - The sides 6
The sides of the rectangle are 12cm and 15cm. How many percent will the area of the rectangle increase if we increase each side by 10%? - Tachometer speed error
The tachometer with a relative measurement error of 5% showed a speed of 49 km/h when crossing municipalities. Did the car driver exceed the permitted speed of 50 km/h? - Gravity earth motion
Due to the force of gravity, a freely released body falls towards the Earth. The reaction to the gravitational force is of equal magnitude and acts on the Earth at its center. Explain why we do not observe the motion of the Earth towards the body. - Estefania
Estefania bought a video game player. She does not remember the price before tax. She does know that the 6% sales tax came to $4.80. To find the price of the game player, she drew a percent bar or tape diagram. What was the price of the game player before
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