1) Whixh pair of integers that have a difference of +2.

2) How many integer solutions satisfy: |2x – 5| < 11?

3) What is the 25th term of the arithmetic progression −5, −1, 3, …?

4) A lift starts at floor +15.
It goes to –8, then up 19 floors, then down 27 floors.
Which floor is it on now?

5) Which of the following statements is false?

6) A mysterious machine does the following operations in order:

1. Multiply input by –4

2. Add 27

3. Divide by –3

4. Add the original number

If the final output is –2, what integer was the input?

7) Evaluate:

(−12) ÷ 4 − 3 × (−5) + (−7)

8) Evaluate:

−23 + 48 − (−32) + (−57)

9) On Lakeview Peak, the temperature was –4.0 °C on Monday.
It rose by 2.5 °C on Tuesday and then dipped by 6.0 °C on Wednesday.
Statement 1: Wednesday’s temperature was lower than Monday’s.
Statement 2: Net change over the two days was –3.5 °C.

10) Which among the options is equal to 2?

11) What is the smallest positive integer divisible by both 8 and 9, and how many positive integers divide it?

12) Which amont the below is the set of 3 integers that have a sum of -4.

13) Find the units digit of (−2)^99.

14) How many even integers are there between -25 and 25 (excluding -25 and 25)?

15) The first term of an arithmetic progression (AP) is 15 and the common difference is −3.

What is the 10th term?

16) The temperature at 6 AM was –9°C.
It increased by 7°C, dropped by 12°C, rose again by 5°C, and finally dropped by 8°C.
What is the temperature now?

17) Evaluate:

(−15) × [ (−4) + 7 − (−9) ] ÷ (−3)

18) Evaluate:
(−3)³ + (−3)² − 2 × (−3)

19) A diver is at a depth of 42 meters below sea level.
He ascends 18 meters, then descends 25 meters, and finally rises 30 meters.
What is his final position relative to sea level?

20) The temperature in a research lab was –12°C at midnight.
By morning it increased by 7°C, then dropped by 15°C in the night, and finally rose by 9°C next morning.
What is the final temperature?