Mathematics: Integers and Expressions
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Questions and Answers

Which of the following is a prime number?

  • 6
  • 4
  • 9
  • 11 (correct)

The cube root of 27 is 3.

True (A)

What is the result of multiplying 15 by 0.1?

1.5

The expression for the area of a rectangle is ______ times ______.

<p>length, width</p> Signup and view all the answers

Which of the following numbers is a multiple of 6?

<p>18 (A)</p> Signup and view all the answers

Every prime number is an odd number.

<p>False (B)</p> Signup and view all the answers

The square of 9 is ______.

<p>81</p> Signup and view all the answers

Match the mathematical term with its definition:

<p>Factors = Numbers that can be multiplied together to get another number Multiples = The result of multiplying a number by an integer Primes = A number greater than 1 that has no positive divisors other than 1 and itself Cube root = A number that when multiplied by itself three times gives the original number</p> Signup and view all the answers

Flashcards

Integer Factors

Whole numbers that divide exactly into another number.

Equation Solving

Finding the value that makes an equation true.

Expanding Brackets

Removing brackets by multiplying each term inside by the term outside.

Rounding Numbers

Approximating a number to a specific place value.

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Prime Numbers

Whole numbers greater than 1, only divisible by 1 and itself.

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Factors

Whole numbers that divide evenly into another number.

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Multiples

Numbers you get by multiplying a whole number by another whole number.

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Square Root

A number that, when multiplied by itself, equals the original number.

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Cube Root

A number that, when multiplied by itself three times, equals the original number.

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Study Notes

Integers

  • Factors are whole numbers that divide exactly into another number.
  • Multiples are the products of a number and any whole number.
  • Prime numbers have only two factors: 1 and themselves.
  • Integer multiplication involves multiplying positive and negative numbers following rules for signs.
  • Integer division follows the same rules for signs as multiplication.
  • Square roots find a number that, multiplied by itself, equals the given number.
  • Cube roots find a number that, multiplied by itself three times, equals the given number.
  • Indices represent repeated multiplication.

Expressions, Formulae and Equations

  • Expressions combine variables and numbers using mathematical operations.
  • Formulae are expressions that relate different variables.
  • Expanding brackets involves using the distributive property to remove brackets.
  • Factorising reverses the process of expanding brackets.
  • Equations involve an equals sign and have a solution that satisfies the equation.
  • Inequalities represent relationships where one quantity is greater than or less than another.

Place Value and Rounding

  • Place value represents the value of a digit based on its position in a number.
  • Multiplying or dividing by 0.1 or 0.01 involves shifting the decimal point.
  • Rounding involves approximating a number to a specified degree of accuracy.

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Description

This quiz covers key concepts related to integers, including factors, multiples, prime numbers, and operations like multiplication and division. Additionally, it addresses expressions, formulae, and equations, emphasizing the processes of expanding and factorising. Test your understanding of these foundational mathematical principles.

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