Add the following
(i) 8 and –12 using number line
(ii) (–3) and (–5) using number line
(iii) (-100 + (-10)  
(iv) 20 + (-72)
(v) 82 + (-75) 
(vi) -48 + (-15)
(vii) -225 + (-63)

In a quiz competition, Team A scored +30,–20, 0 and team B scored –20, 0, +30 in three successive rounds. Which team will win? Can we say that we can add integers in any order?

Find 5 pairs of integers that add up to 2.

Kabilan was having 10 pencils with him. He gave 2 pencils to Senthil and 3 to Karthik. Next day his father gave him 6 more pencils, from that he gave 8 to his sister. How many pencils are left with him?

When Kala woke up, her body temperature was 102°F. She took medicine for fever. After 2 hours it was 2°F lower. What was her temperature then?

A student was asked to subtract (–12) from (–47). He got −30.Is he correct? Justify.

A person lost 4800 calories in 30 days. If the calory loss is uniform, calculate the loss of calory per day.

An integer divided by 7 gives a quotient –3. What is that integer?

A dog is climbing down in to a well to drink water. In each jump it goes down 4 steps. The water level is in 20th step. How many jumps does the dog take to reach the water level?

Scientists use the Kelvin Scale (K) as an alternative temperature scale to degrees Celsius (°C) by the relation T^oC = (T + 273)K
(i) −275°C
(ii) 45°C
(iii) −400^oC
(iv) −273^oC

-70 + 20 = ?-10

Find two pairs of integers whose product is +15

Find the area of a rhombus whose base is 14 cm and height is 9 cm.

The area of a rhombus is 100 sq. cm and length of one of its diagonals is 8 cm. Find the length of the other diagonal

The height of the parallelogram is one fourth of its base. If the area of the parallelogram is 676 sq. cm, find the height and the base

The table top is in the shape of trapezium with measurements given in the figure. Find the cost of the glass used to cover the table at the rate of Rs. 6 per 10 sq. cm.

Add:
(i) 8x, 3x
(ii) 7mn, 5mn
(iii) −9y, 11y, 2y

Subtract
(i) 13x + 12y − 5 from 27x + 5y − 43
(ii) 3p + 5 from p − 2q + 7
(iii) m + n from 3m − 7n.
(iv) 2y + z from 6z − 5y.

Find the expression to be added with 5a − 3b + 2c to get a − 4b − 2c?

A motorbike requires 2 litres of petrol to cover 100 kilometers. How many litres of petrol will be required to cover 250 kilometers? (using unitary method)

If the cost of a dozen soaps is Rs.396, what will be the cost of 35 such soaps?

Find the angle \(\angle\)GEH from the given figure.

Find the measure of angle y in each of the following figures.

Find the value of angle a in each of the following figures.

Mention two real-life situations where we use parallel lines.