Maths Topic 16 - Special Numbers


Special Numbers are commonly tested in 11+ exams and UK Selective School.

Primes, even, odd, square numbers, square roots, cube numbers, triangular numbers, Roman numerals, negative numbers and indices.

Examples

Example Question 1:

Which of the following answer options contains all prime numbers?

(a) 2, 4, 6, 8, 10,  (b) 1, 3, 5, 7, 11,  (c) 11, 13, 15, 17, 19,  (d) 2, 3, 7, 13, 17,  (e) 9, 16, 25, 36, 49

Answer: (d)

Explanation: Prime numbers can only be divided by themselves and 1. In answer option (d) all of the numbers have these 2 factors.

Example Question 2:

(a) What is 8² ?

(b) What is √81?

(c) What is the third triangular number?

(d) What is 3³ ?

Answers: (a) 64,  (b) 9,  (c) 6,  (d) 27

Explanations: 

(a) 8² is 8 × 8 = 64 

(b) √81 is what number was multiplied by itself to make 81 (the square root) = 9

(c) Triangular numbers add 1 more on to each number, starting with the number 1: 1 + 2 = 3, 1  + 2 + 3 = 6

(d) 3³ = 3 × 3 × 3 = 27

Video Tutorials

Prime Numbers

 

Negative Numbers

Negative + and –

Triangular Numbers

 

Squared Numbers

 

Square Roots

Cubed Numbers

Indices/Power

Square Numbers

Roman Numerals