S1 - Numbers

Question 1

What is an integer?

Answer 1

A whole number, can be positive, negative or just 0

Question 2

Is this an integer?

Answer 2

7

Question 3

Is this an integer?

Answer 3

0.8

Question 4

All numbers are either _______ or _______

Answer 4

All numbers are either rational or irrational

Question 5

Rational numbers come in 3 different forms, they are?

Answer 5

Integers, Fractions, Terminating or Recurring Decimals

Question 6

Give an example of a rational number in each form

Answer 6

Integer: 6
Fraction: 1/4
Decimals: 0.125

Question 7

What does BODMAS stand for?

Answer 7

Brackets, Other, Division, Multiplication, Addition, Subtraction

Question 8

Why does BODMAS exist?

Answer 8

BODMAS tells you the order in which these operations should be done. Work out brackets first, then other things like squaring, then divide/multiply groups of numbers before adding or subtracting them

Question 9

Workout the answer the answer to this question via BODMAS

Find the reciprocal of (Surd over everything) 4 + 6 x (12 - 2)

Answer 9

4 + 6 x (12 - 2)
4 + 6 x 10
4 + 60
Surd 64
8
Reciprocal of 8 = 1/8

Question 10

Workout the answer to this question as well using BODMAS

3 + 22 x 3 - 14

Answer 10

3 + 22 x 3 - 14
3 + 66 - 14
69 - 14 = 55

Question 11

What is a multiple?

Answer 11

The multiples of a number is just its time tables

Question 12

What is a factor?

Answer 12

The factors of a number are all the numbers that divide into it

Question 13

Name the first 5 multiples of 13

Answer 13

13, 26, 39, 52, 65

Question 14

Name all the factors of 24

Answer 14

1 x 24 + 2 x 12 + 3 x 8 + 4 x 6
Factors: 1, 2, 3, 4, 6, 8, 12, 24

Question 15

What is a prime number?

Answer 15

A number that does not divide by anything apart from itself and 1

Question 16

Name some prime numbers

Answer 16

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 27, 41, 43

Question 17

How do you find prime factors?

Answer 17

The factor tree. Start with a number at the top and split it into factors. Every time one of the factors is prime then circle it. Keep going until you can’t and then write out the prime in order.

Question 18

Express 420 as a product of its prime factors

Answer 18

420
42 10
(7) 6 (2) (5)
(2) (3)
420 = 2 x 2 x 3 x 5 x7

Question 19

Express 990 as a product of its prime factors

Answer 19

990
99 10
(11) 9(2) (5)
(3) (3)
990 = 2 x 3 x 3 x 5 x 11