# Natural numbers - high school - practice problems

#### Number of problems found: 148

- AP members

Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702. - Tickets 7

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How many - Recurrence relation

Consider a recurrence relation an = 3an-1 - 3an-2 for n = 1,2,3,4,… with initial conditions a1 = 4 and a2 = 2. Calculate a5. - AND-NOT-AND

If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, which of the following integers will be in P and Q but not in R? A=−54 B=−50 C=42 D=100 E=252 - Balls in row

Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row. - Sequence 13

2, 2, 3, 5, 9, 11, 17, 21 If the number 23 is added to the list, which measurement will NOT change? - Perfect cube

Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331 - Two numbers

One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers. - The three

The three boys Adam, Boris and Cyril are to be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away? - Covid-19 spread

A Street has 13 houses in a row. Some resident sin the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house 2 can get infected in only one way, house - Three unknown numbers

The sum of of three numbers is 106. the first number is 10 more then the third. The second number is 2x the third. What are the numbers? - Hockey Championships

At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are ther - How many 13

How many ways can X³ y⁴ z³ be written without an exponent? - Committee 2

How many committee consisting of 3 women and 2 men can be formed from a group of 6 woman and 5 men? - There 8

There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)? - Three wagons

I have 6 different people (A, B, C, D, E, F), which I have to place into 3 wagons, if it depends on who will board. How many options are there? - A bag

A bag contains 9 blue marbles and 1 green marble. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble. - Jewelry factory

In a jewelry factory, three assemblers make beaded necklaces. Marcus can make 22 necklaces per hour all day long. Anita can make 25 necklaces for her first three hour of the days and then slow down to 16 necklaces for the rest of the day. Yara can make 2 - Photos

Three friends Mirka, Lucka, and Hanka, collect photos. If Mirka had 3 more photos than she has, she would have as many as Hanka. If Lucka had 5 photos less than she has, she would be like Hanka. How many photographs does each have if they have 431 togethe - 1200 screws

1200 screws are to be divided into 3 groups so that in the 1st group there are 300 screws more than in the 2nd group and in the 2nd group 150 screws less than in the 3rd group. How many screws will be in each group?

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.

Natural numbers - practice problems. Examples for secondary school students.