The Number Line

Q.

Mt.Everest is at a height of 8850 m. Its base is at an elevation of 5400m. The temperature here drops at the rate of 1 degree per 100

metres.If the temperature at the base is -5 degree c, what is the

temperature at the top?

Q.

A hiker is descending 152 m every 8 minutes what will be hikers change in elevation in half an hour? Write as an integer

Q.

A yacht, 3 metres in height, is floating on water. If 1/6 of its height is under water, what is the height of the yacht visible above the water ?

Q.

What are the first ten integers?

Q. On a number line, the distance between -6 and -13 is same as distance between 5 and ____.

1. -1
2. 2
3. -2
4. -4

Q.

Ram is in the eighth floor of a building. If he goes three floors down, and then goes 2 floors further down, which floor of the building is he in now?

1. First floor

2. Thirteenth floor

3. Third floor

4. Seventh floor

Q. If p < 0 < q < r < s, where p, q, r and s are integers, pq = –1, s – p = 10 and r is an odd integer, then which of the following is largest?

यदि p < 0 < q < r < s, जहाँ p, q, r व s पूर्णांक हैं, pq = –1, s – p = 10 तथा r एक विषम पूर्णांक है, तब निम्नलिखित में से कौनसा विकल्प महत्तम है?

1. $$\frac{q+s}{p+r}$$
2. $$\frac{p+s}{q+r}$$
3. $$\frac{p+q}{r+s}$$
4. $$\frac{r+s}{q-p}$$

Q. Visualize the following using a number line, add $-6$ to $7$ and then subtract $-8$ from the result.​

1. $7$
2. $-7$
3. $9$
4. $10$

Q.

A diver descends 20 feet in water from the boat which is at the surface of the lake. He then rose 12 feet and descends another 18 feet. At this point, which of the following describes his position from the boat?

1. -13

2. -21

3. -26

4. -17

Q. $-2-3=$ ___

Q.

From inside the Room I, Bill noticed a huge commercial space, “The Hall of Operations”, which contained four halls named Addition, Subtraction, Multiplication and Division. These halls were named according to the operation being carried out. Each of these halls had 2 entries and only 1 exit.

Bill observed that when any two occupants (numbers) entered the room through the entries, the operation specified by the hall happened on the numbers in the order they enter and from the exit, came the result.

Bill noticed occupants from Room I enter “The Hall of Operations” in pairs.

From which of the halls would the occupant coming out from the exit be from Room I? [Select ALL the relevant options]

1. Addition

2. Subtraction

3. Multiplication

4. Division

Q.

Among the following pairs, in which pairs, the first number is to the right of the second number on the number line?
i. 3, 7
ii. 0, -4
iii. 2, 5
iv. -4, -8
v. 1, -10
vi. -1, 3

1. (0, -4), (3, 7) and (1, -10)

2. (3, 7), (-4, -8) and (1, -10)

3. (0, -4), (-4, -8) and (1, -10)

4. (0, -4), (-4, -8) and (3, 7)

Q.

Going 500 m towards east first and then 200 m back, is same as going 200 m towards west first and then going 500 m back.

1. Fales

2. True

Q.

…, $-4,-3,-2,-1$

What order are the above integers arranged in?

___ (ascending/descending)

Q.

A man walked 5 km towards North then 8 km towards South. What is his final position with respect to his initial position?

1. 4 units

2. -4 units

3. -3 units

4. 1 unit

Q.

If you add -6 to 7 and then subtract -8 from the result, what will be the answer?

1. 7

2. -7

3. 9

4. 10

Q.

On the number line, the value of $(-3)\times 3$ lies to the right of

1. -10

2. -4

3. 0

4. 9

Q. Mark (✓) against the correct answer
Which of the following is a true statement?

(a) −11 > −8
(b) −11 < −8
(c) −11 and −8 cannot be compared

Q. The numbers decrease in value as we move to the right on the number line.

1. True
2. False

Q. Which statement represents all numbers between negative 4 and positive 8 ?

1. $-4\le x\le 8$
2. $-4<x<8$
3. $-4\le x<8$
4. $-3\le x\le 7$
5. Answer required

Q.

The greatest negative integer is ___________

1. -2
2. -3
3. -4
4. -1

Q.

…, $-4,-3,-2,-1$

In what order are the above integers arranged?

___

Q.

Neema moves 4 metres to the west from the starting point in the first trip. Then, she moves 5 metres to the east in the second trip. In the third trip, she moves 10 metres to the west. What is her position with respect to the starting point after the three trips?

1. -7m

2. 4m

3. -9m

4. 8m

Q.

Temperatures 26${}^{\circ }$C above 0${}^{\circ }$C and 13${}^{\circ }$C below 0${}^{\circ }$C can be represented as

1. -26${}^{\circ }$C and +13${}^{\circ }$C

2. -26${}^{\circ }$C and -13${}^{\circ }$C

3. +26${}^{\circ }$C and +13${}^{\circ }$C

4. +26${}^{\circ }$C and -13${}^{\circ }$C

Q. Mark (✓) against the correct answer
Which is larger out of $\frac{2}{-3}$ and $\frac{-4}{5}$?
(a) $\frac{2}{-3}$
(b) $\frac{-4}{5}$
(c) cannot be compared

Q. Jerry and Micky are at $–2$ and $3,$ respectively, on a number line. Which of the following options is not correct?

1. Jerry is to the left of $0$.
2. Micky is to the right of $0$.
3. Micky is to the left of Jerry on the number line.
4. Jerry is to the left of Micky on the number line.

Q. On a number line, the distance between -6 and -13 is same as distance between 5 and ____.

1. -1
2. 2
3. -2
4. -4

Q. Work out the answers to the following calculate the number line.
$(+7)+(-4)$

Q. Work out the answers to the following calculate the number line.
$(-5)+(-4)$

Q.

$0$ was very happy to finally get to meet other numbers after a long long time. Also, every number was very angry at $-1$. Everybody told Ted to be the judge of what should be done to $-1$. $-1$ realized its mistake and asked for forgiveness. Ted forgave $-1$ and finally, a world of integers was formed where no number was largest or smallest.

Then out of curiosity, Ted asked $0$, “How many integers actually are there in this world?” $0$ replied – “There are __ integers.”