matura.mkSecondary school › Numbers
Numbers: problems with solutions
51 groups of practice problems: natural numbers, divisibility, integers, fractions, real numbers, congruences, exponents and roots. Every problem has a step-by-step solution.
The problems are useful for the State Matura, for the external exam and for university entrance exams.
| Topic | What you practise | Problems |
|---|---|---|
| Natural numbers | Consecutive numbers, even and odd, digits, powers and the number of digits. | 5 |
| Divisibility and primes | Remainders, divisibility rules, unknown digits, prime numbers and counting multiples. | 8 |
| Factorization, GCF and LCM | Prime factorization, the number of divisors, GCF, LCM and word problems. | 6 |
| Integers and rational numbers | Integers, fractions, ordering, decimals, repeating decimals and irrational numbers. | 8 |
| Real numbers and absolute value | Intervals, order properties, inequalities and absolute value. | 6 |
| Congruences | Modular arithmetic, remainders of powers, last digits and Fermat's little theorem. | 6 |
| Exponents | Integer exponents, rules of exponents, scientific notation and exponential equations. | 4 |
| Roots and radicals | Square roots, simplifying, rationalizing, nested roots, n-th roots and rational exponents. | 8 |