A water tank has steps inside it. A monkey is sitting on the topmost step i.e. the first step. The water level is at the ninth step.

(i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?
(ij) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?
(iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in parts (i) and (ii) by completing the following
(a) -3 + 2- ... = -8
(b) 4 -2 +  ... = 8
In part (a), the sum (-8) represents going down by eight steps. What will the sum 8 in part (b) represent?

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (- 2) marks are awarded for every incorrect answer and 0 for questions not attempted.
(i) Mohan gets four correct and six incorrect answers. What is his score?
(ii) Reshma gets five correct answers and five incorrect answers. What is her score?
(iii) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

Write five pairs of integers (a, b) such that a \(\div\) b = - 3. One such pair is (6, - 2) as 6 \(\div\) (-2) = (-3).

Write a pair of integers whose product is -36 and whose difference is 15.

Write two integers, which are greater than -4, but their difference is smaller than -2.

The height of a place A is 1800 m above sea level. Another place B is 700 m below sea level. What is the difference between the levels of these two places?

A greengrocer had a profit of Rs 47 on Monday, a loss of Rs 12 on Tuesday and loss of Rs 8 on Wednesday. Find his net profit or loss in 3 days.

Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow?

If * is an operation such that for integers a and b, we have a * b = a \(\times\) b + (a \(\times\)a + b \(\times\) b). then find
(i) (-3) * (-5)
(ii) (-6) * 2

Find 4 x (- 8), 8 x (- 2), 3 x (- 7), 10 x (- 1) using number line.