11+ Maths: Numbers and Operations

11+ Maths Topics

• Prime Factors: A prime factor is a prime number that divides a given number exactly without leaving a remainder. It's essential to find prime factors to solve various maths problems.

• Highest Common Factors (HCF): The HCF, also known as the Greatest Common Divisor (GCD), is the largest number that divides two or more numbers exactly without leaving a remainder.

• Lowest Common Multiple (LCM): The LCM is the smallest number that is a common multiple of two or more numbers.

• Square Numbers: A square number is the result of multiplying a number by itself. For example, 4 is a square number because it's 2 multiplied by 2.

• Cubed Numbers: A cubed number is the result of multiplying a number by itself three times. For example, 8 is a cubed number because it's 2 multiplied by 2 multiplied by 2.

• Square Roots: A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 multiplied by 4 equals 16.

11+ Maths Revision

Prime Factors

• A prime factor is a prime number that divides a given number exactly without leaving a remainder
• Prime factors are used to find the highest common factor (HCF) and lowest common multiple (LCM) of two or more numbers

Highest Common Factors (HCF)

• The highest common factor is the largest number that divides two or more numbers exactly without leaving a remainder
• HCF is also known as the greatest common divisor (GCD)
• HCF is used to simplify fractions and find the common denominator

Lowest Common Multiple (LCM)

• The lowest common multiple is the smallest number that is a multiple of two or more numbers
• LCM is used to add or subtract fractions with different denominators
• LCM is also used to find the least common multiple of two or more numbers

Square Numbers

• A square number is the result of multiplying a number by itself (e.g., 2^2 = 4, 3^2 = 9)
• Square numbers are also known as perfect squares
• Square numbers have an odd number of factors

Cubed Numbers

• A cubed number is the result of multiplying a number by itself three times (e.g., 2^3 = 8, 3^3 = 27)
• Cubed numbers are also known as perfect cubes
• Cubed numbers have an odd number of factors

Square Roots

• A square root of a number is a value that, when multiplied by itself, gives the original number
• Square roots are denoted by the symbol √
• Square roots can be simplified by removing square factors

Test your knowledge of prime factors, highest common factors, lowest common multiples, square and cube numbers, and square roots in this 11+ maths quiz. Practice your maths skills and get ready for your exam!