Cambridge International Mathematics

Assumed Knowledge (Number) 3

Number N Z Q R

19 X X X X

¡^23

p

7

5 : 6389

p

16

2 ¼

¡ 11

6

0

p

¡ 2

1 Copy and complete the table given.

2 Show that:

a 16 , 529 and 20 802 721 are square numbers

b 27 , 343 and 13 824 are cube numbers

c 11 , 17 and 97 are prime numbers

d 64 and 729 are both squares and cubes.

3 List all prime numbers between 50 and 70.

4 Explain why 1 is not a prime number.

5 Is 263 a prime number? Show all working.

RULES FOR THE ORDER OF OPERATIONS

² Perform the operations withinbracketsfirst.

² Calculate any part involvingexponents.

² Starting from the left, perform alldivisionsand

multiplicationsas you come to them.

² Starting from the left, perform alladditionsand

subtractionsas you come to them.

RULES FOR THE USE OF BRACKETS

² If an expression containsone setof brackets or group symbols, work that part first.

² If an expression containstwo or more setsof grouping symbols one inside the other, work the

innermost first.

² The division line of fractions also behaves as a grouping symbol. This means that the numerator and

the denominator must be found separately before doing the division.

B OPERATIONS AND BRACKETS [1.2]

The word BEDMAS may help

you remember this order.

Brackets are

that tell us what to evaluate first.

grouping symbols

EXERCISE A

IGCSE01

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