Maths practice for 14 year olds - page 96 of 362

Number of problems found: 7238

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
Construct 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 a T-shirt and a 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, George, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with George or Emma, and Dan will not go with Emma. 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?
Numbered
In the past, passengers on public transport validated single-use tickets that had 9 numbered boxes, a certain number of which were punched with a validator. A) In how many different ways could a ticket be validated if 3 boxes were punched? B) In how many
Bike discount increase
Peter chose a bike for €750 in a bike shop. With accessories, its price increased by 10%. As the store had a summer sale, Peter received a 10% discount on the purchase price. How many euros did he pay for the purchase?
Triangle perpendicular hypotenuse
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93 cm and the perpendicular t = 48 cm
Temperature linear fit
At 2:00 a.m., the temperature was -7 °F. At noon the temperature was 18 °F. What expression represents the increase in temperature?
Ice cream combinations
The contestants have to create an ice cream sundae containing three different types of ice cream. They can use cocoa, yogurt, vanilla, hazelnut, punch, lemon and blueberry ice cream. How many different ice cream sundaes can the contestants create?
Committee election possibilities
5 A students must elect a three-member class committee. However, only 6 pupils out of 30 are willing to work in it. How many possibilities do they have to create it if it does not matter what function the committee member will perform?
Employee reward percentage
The employee received an extraordinary reward of 320 euros, 8% of his monthly salary in September. What is his monthly salary?
Grade commute students
50% of 9th graders of our Bratislava school are non-Bratislava pupils. One-third of them commute by bus, a fifth by bike, and seven pupils walk. How many students are in the 9th grade?

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