Add the following integers using number line
(i) 10 and –15
(ii) –7 and –9

Add:
(i) (–70) and (–12)
(ii) 103 and 39.

Sita saved Rs. 225.00 and she has spent Rs. 400 on credit basis for the purchase of stationery. Find her due amount.

(i) Are 120 + 51 and 51 + 120 equal?
(ii) Are(-5) + [(-4) + (-3)] and [(-5) + (-4)] + (-3) equal?

Mention the property for the following equations:
(i) (-45) + (-12) = -57
(ii) (-15) +7 = (7) + (-15)
(iii) −10 + 3 = −7
(iv) (-7) + (-5) = (-5) + (-7)
(v) (-7) + [(-4) + (-3)]  =[(-7) + (-4)] + (-3)
(vi) 0 + (-7245) = -7245

A fruit seller sold 5kg of mangoes at a profit of Rs. 15 per kg and 3kg of apples at a loss of Rs. 30 per kg. Find whether it is a profit or loss.

Prove that (–7) x (+8) is an integer and mention the property.

Prove that [(–2) x 3] x (–4) = (–2) x [3 x(–4)].

Are 3 x [(–4) + 6] and [3 x(–4)] + (3 x 6) equal? Mention the property.

Each day, the workers drill down 22 feet further until they hit a pool of water. If the water is at 110 feet, on which day will they hit the pool of water?

Find the area and perimeter of the parallelogram given in the figures
.

Find the height 'h' of the parallelogram whose area and base are 368 sq. cm and 23 cm respectively

The base of the parallelogram is thrice its height. If the area is 192 sq. cm, find the base and height

The parallel sides of a trapezium are 23 cm and 12 cm. The distance between the parallel sides is 9 cm. Find the area of the trapezium

The area of a trapezium is 352 sq. cm and the distance between its parallel sides is 16 cm. If one of the parallel sides is of length 25 cm then find the length of the other side.

Identify the variables, terms and number of terms in each of the following expressions:
(i)12 −x
(ii) 7 + 2y
(iii) 29 + 3x + 5y
(iv) 3x – 5 + 7z

If x = 3, y = 2 find the value of
(i) 4x + 7y
(ii) 3x + 2y − 5
(iii) x − y

Find two consecutive natural numbers whose sum is 75.

In an examination, a student scores 4 marks for every correct answer and loses one mark for every wrong answer. If he answers 60 questions in all and gets 130 marks, find the number of questions he answered correctly.

If 15 chart papers together weigh 50 grams, how many of the same type will be there in a pack of 2\(\frac {1}{2}\) kilogram?

A car travels 90 km in 2hours 30 minutes. How much time is required to cover 210 km?

If \(\angle\)POQ = 23° and \(\angle\)POR = 62° then find \(\angle\)QOR

Find the missing angle.

Raghavan wants to change the front elevation of his house using the tiles made up of tetromino shapes
 
1. How many tetrominoes are there in a tile ?
2. If the cost of a square tile is Rs. 52 then what will be the cost of the tiles that Raghavan buys for the front elevation?

A telephone exchange worker wants to give the telephone connection to Amutha's house. Shows all the possibilities of cable connections. Find the route which requires minimum cable?