Maths practice for 14 year olds - page 104 of 361
Number of problems found: 7214
- 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 12 cm and 15 cm. 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 - Card sum probability
There are tickets with the numbers 1, 2, 3, 4, 5, 6, 7, and 8 in the envelope. Two tickets are drawn from the envelope at a time. What is the probability that the sum of the numbers drawn will be 7? Write the result as a decimal rounded to hundredths. - Five-digit number repetition
How many five-digit numbers can we make from digits 2,3,4,6,7,9 if they can repeat with the digits? - Boy girl placement
Three boys and four girls. How many ways can they be placed side by side according to gender? - Element arrangement ways
Determine the number of arrangements of these six elements: a, a, a, b, b, c. - Base conversion
12²×14³ answer in base five - Car speed distance
The car will travel 154 km in 2.24 hours. How many kilometers will he travel at the same speed in 3.2 hours? - Triangle cone volume
Calculate the volume of the cone formed by rotating an isosceles triangle about the height of the base. The triangle has a side length of 15 cm and a height to the base of 12 cm. When calculating, use the value pi = 3.14 and round the result to one decima - Shooter hit probability
The shooter fired 100 times at a target. He had four times as many hits as misses. What was the probability of a hit in percent? - Student sibling probability
One hundred fifty pupils go to the 9th year of primary school. Of these, 66 have no siblings, 39 pupils have one sibling, 18 pupils have two siblings, and the remaining pupils have more siblings. What is the percentage probability that a randomly selected - Candy color ratio
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi
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