Solve the following :

i) 2 + (- 5)

ii) 3 - (- 2 )+ ( - 5)

iii) (- 7) X 4 X (- 3)

iv) 2 X 2 X (27 / 3) + (1 - 20)

v) ( (18 / 3) / ( (4 X 3) - 36) ) X 4

vi) ( - 1) - ( - 1) - 1 + ( - 1 )

vii) ( 10 + 20 ) / ( 2 - 4 )

viii) ( 18 X ( 2 - 3) X 4 ) / ( 4+ 14)

Determine the value of :

i.13 - 2 × 3 + 14 ÷ (2 + 5)

ii.5 - 2(9 + 6) ÷ (15 - 12)

iii.3[(6 + 2)4 - 1]

iv.-4 + (3 - 9) ÷ 3

v.4 + (-18 + 3) ÷ 3 

Find the product of the following :

i.2 × (-10)

ii.0 × (-5)

iii.(-16) × (-50) 

Evaluate the following :

i.6 + (-3)

ii.(-3) + (-7)

iii.0 - (-3)

iv.-11 - (-8)

v.-4 + 3

Using the number line, find (−3) + 2.

Find the LCM of :

i.10, 15, 70, 105

ii.196, 350, 770

Find the HCF of :

i.10, 15, 70, 105

ii.196, 350, 770

What can you say about the factors of the following numbers 2, 3, 5, 7, 11, 13 ?

What is the greatest factor of a given number?

Which number is a factor of every number?

Is 59 a factor of 2592?

Give 3 examples for each :

i.real numbers which are not whole numbers.

ii.integers which are not natural numbers.

iii.rational numbers which are integers.

Find :

i.one rational number between 0 and 1

ii.two rational numbers between 0 and 1/2

iii.9 rational numbers between 0 and 1/10.

iv.Does this indicate that there are endless numbers between 0 and 1?

Suppose the temperature of a cooling substance is 10 ◦C at a particular time and suppose there is a drop in temperature by 5 ◦C in every 10 minutes. By how much will the temperature have dropped after 40 minutes? Use a number line to find this.

Give two situations where you have seen numbers written with ‘−’ sign, like (−5.5)(−4).

Why do you think the Hindu Arabic system has turned out to be the most popular? What are its advantages over the Roman numerals?

Give two situations where you have seen Roman numerals used.

What are the representation of numbers 5, 16, 25 and 32 in the binary system, and why?

Form the four digit number which have the following as the place values of its digits:

i.5000, 7, 80, 200

ii.7000, 60, 8

iii.1000, 400, 60

List at least two needs which you think would have been the motivation for symbolic representation.