Natural numbers - high school - practice problems - page 7 of 17
Number of problems found: 324
- Students
The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many more boys are in the 7th grade? - Circus
At the circus performance were 150 people. Men were ten less than women and children 50 more than adults. How many children were in the circus? - Diofant equation
250x + 120y = 5640 - Four-digit number
Find a four-digit number, which quadrupled written backward is the same number.
- Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution. - Sequence 13
2, 2, 3, 5, 9, 11, 17, 21 If the number 23 is added to the list, which measurement will NOT change? - AP members
What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20? - Fraction
Fraction frac(0, overline(38))(0,38) write as fraction a/b, a, b is integers numerator/denominator. - Determine 82975
Determine the sum of all positive odd numbers less than 78
- 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. - Sum of two primes
Christian Goldbach, a mathematician, found out that every even number greater than two can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers. - Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI - Arithmetic 44181
Determine the arithmetic sequence. a3 + a4 = 10 a2 + a5 = 11 - Determine 4132
Determine the value of x in this equation: x! · 4 = x³. x is a natural number.
- Martin 6
Martin, Kelvin, and Ahmad have 120 candies. Ahmad has six more candies than Martin. Kelvin has thrice the total amount of candies than Martin and Ahmad have. How many candies does Martin have? - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n. - Sum of AP members
Find the sum of all the numbers between 8 and 258 that are divisible by 5. - Problem
Problem Solving: The sum of three consecutive numbers is 93. What is the difference between the largest and the smallest number? - Determine 2937
Determine the first 14 members of the sequence if a15 = 225, d = -12
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