Maths practice for 14 year olds - page 93 of 375

Number of problems found: 7498

Goods shipment price
The price of one piece of goods is 450 CZK, and the price of transport is 90 CZK. They paid Svoboda a total of CZK 10,440 for the shipment. Calculate how many pieces of goods they ordered Svoboda.
Alloy Cu+Pb
An alloy of copper and lead is a mixture of these metals in a ratio of 5:2 (respectively). Calculate in kg how much a piece of this alloy weighs if it contains just 150 kg less lead than copper.
Three-digit number creation
The number 0,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the num
Three-digit number creation
The numbers 1,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the nu
Relative motion
The boat moves along the river at a speed of v1 = 5km/h and upstream v2 = 2km/h What is the current P's and boat L's speed relative to the water?
Length = 3 width
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid?
Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1?
Freezer volume percentage
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume?
Dress color probability
Anna has four different colored pullovers and three different colored skirts. What is the probability that she will have a red pullover and a blue skirt in a random dress if we know that she has them in her wardrobe?
Triangle construction sides
Sestroj triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 °
Circle waste percentage
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted?
House number divisibility
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li
Isosceles triangle construction
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options.
Stone transfer power
At 80 cm above the road, a person transfers a stone weighing 2 kg parallel to it in a uniform motion along a path of 6 m in 10 s. With what power does it work?
Sound triple creation
How many triples of sounds can be created from sounds f, o, u, r? You solve using a tree diagram.
Single-colored
Diana is going to a party. She can't decide what to wear. She has 4 T-shirts (white, blue, pink, and purple) and 5 skirts (black, white, pink, green, and brown) to choose from. In how many different ways can she combine the T-shirt and skirt if she doesn'
Four-digit number creation
Create all four-digit numbers in which 0, 2, 5, and 9 are not repeated. A) How many such numbers are there? You solve using a tree diagram. B) What percentage of them are even?
Skate discount price
Skates have fallen by 36% after the winter season on sale. Their price after the discount was 48 euros. What was the original price?
Student pair selection
The coach must choose two students from Sam, Jura, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with Jura or Ema, and Dano will not go with Ema. How many pairs does the trainer have to choose from?
Exam question probability
The teacher has 20 questions, from which the student chooses two on the exam. The student learned 10 questions well, 6 partially, and 4 not at all. What is the probability that he will get both questions he knows well?

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