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G7 Integers

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1) Find the value of:

A) 80

B) 45

C) 77

D) 29

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2) Which among the options is equal to 2?

A) -12 – (-10)

B) -4 – (-6)

C) -6 – 5

D) -5 – (3)

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3) The sum of three consecutive negative integers is –24.
What is the greatest of the three integers?

A) -8

B) -6

C) -7

D) -9

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4) A cage held 7 parrots with an average price of ₹8000.
Two parrots flew away; the average price of the remaining 5 is now ₹7500.
If one escaped parrot was worth ₹10 000, what was the price of the other?

A) ₹8,500

B) ₹11,000

C) ₹12,000

D) ₹10,000

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5) What is the unit digit of (−7)^99?

A) -7

B) 9

C) 3

D) 7

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6) How many integer solutions does the inequality |x + 7| < 12 have?

A) 21

B) 22

C) 24

D) 23

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7) What is the sum of all odd negative integers between −20 and 0?

A) -10

B) -110

C) -100

D) -90

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8) Simplify:

A) -30

B) 45

C) -39

D) 51

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9) Three consecutive integers have a sum of –36.
Find the integers.

A) 11, 12, 13

B) – 9, -10, -11

C) -13, -14, -9,

D) -13, -12, -11,

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10) What integer is exactly halfway between −73 and 19?

A) -27

B) 28

C) -29

D) 27

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11) At Frostvale, the temperature was –10 °C on Monday.
It rose by 8.5 °C on Tuesday, dipped by 2.25 °C on Wednesday, then rose by 1.75 °C on Thursday.
What were the temperatures on Wednesday and Thursday, respectively?

A) –3.75 °C, –2.00 °C

B) –1.75 °C, 0.00 °C

C) –4.25 °C, –2.50 °C

D) –3.75 °C, 0.25 °C

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12) Evaluate:

A) -31

B) 23

C) -23

D) 31

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13) If

find x.

A) -7.5

B) 7.5

C) 12.5

D) -12.5

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14) Find the units digit of (−2)^99.

A) 2

B) 6

C) 4

D) 8

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15) Sara owns a coffee shop.
On Wednesday she made a loss of ₹11 and on Thursday a loss of ₹15.
On Friday she made a profit of ₹13 and on Saturday a profit of ₹14.
Write an addition equation for the described situation.

A) Profit = -11 – 15 + 13 + 14

B) Profit = 11 + 15 – 13 – 14

C) Profit = 11 – 15 + 13 – 14

D) Profit = -11 + 15 – 13 + 14

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16) A cage originally held 10 parrots at an average price of ₹6000.
One parrot flies away; the new average of the 9 survivors is ₹5900.
Then a second escapes, and the average of the remaining 8 is ₹5800.
What was the price of the second escaped parrot?

A) ₹6700

B) ₹7100

C) ₹6500

D) ₹6900

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17) Solve for integer x: |3x − 4| ≤ 11

A) −2 ≤ x ≤ 5

B) −2 ≤ x ≤ 4

C) −2 ≤ x ≤ 6

D) −3 ≤ x ≤ 5

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18) Which of the following expressions is divisible by 6 for every integer 𝑛?

A) n 3 – n

B) n 2+ 6

C) 3n2 – n

D) n 3+ 6n

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19) A hiker descends 300 meters into a valley, climbs up 450 meters to a hilltop, then descends 200 meters.
What is the hiker’s final elevation relative to the starting point?

A) 150 meters

B) −150 meters

C) −50 meters

D) 50 meters

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20) On the number line, the distance between -13 and x is 25.

What are the possible values of x?

A) -38 and 12

B) -38 and -12

C) -12 and 38

D) 12 and 38

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