G7 Exponents and Powers - Math and Science Olympiad trainer and online tutoring

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G7 Exponents and Powers

Math quiz helps us to enhance brains neural network.

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1) Find the value of:

A) 10^-5

B) 10^-4

C) 10^-6

D) 10^-1

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2) Simplify:

A) 6

B) 2

C) 3

D) 4

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3) If
3ˣ = 81,
find x + 1.

A) 5

B) 6

C) 4

D) 0

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4) Which of the following is equal to 1?

A) 0⁰

B) 2⁰ + 3⁰ – 1

C) 10⁰ + 3⁰ – 10

D) 5^-1 + 3⁰ + 5

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5) (3¹⁰ + 3¹¹ + 3¹² + 3¹³) is divisible by:

A) 11

B) 13

C) 7

D) 18

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6) A moon colony grows such that the population on Day n is:

Pₙ = 3ⁿ − 2ⁿ

On Day 6, scientists observe the population reached 665.

Confirm whether this reading is correct.

A) Can't say

B) Its wrong

C) It would have been correct if population was 729

D) Yes it is correct

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7) Robot doubles output each hour.
Hour 10: 512 parts.
When did it make 8 parts?

A) Hour 5

B) Hour 6

C) Hour 3

D) Hour 4

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8) (6²⁰ + 6²¹ + 6²² + 6²³) is divisible by:

A) 7

B) 11

C) 5

D) 6

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9) A machine makes objects using the rule:

Objects = 2ⁿ + 5

If the machine made 37 objects,
what is the value of n?

A) 3

B) 6

C) 4

D) 5

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10) Simplify:
(3² × 9³) ÷ 27²

A) 81

B) 27

C) 1

D) 9

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11) Find the value of:

A) -80/67

B) -67/80

C) 80/67

D) 67/80

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12) Which is equivalent to (2⁵)3?

A) 64

B) 96

C) 128

D) 60

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13) Simplify:

A) 3

B) 5

C) 4

D) 6

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14) Each box hides the same number:

□³ × □² = 8²

What number is inside the box?

A) 2^5/6

B) 2⁶

C) 2⁵

D) 2^6/5

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15) Match the following:

A) (i) Q (ii) P (iii) R

B) (i) P (ii) P (iii) R

C) (i) P (ii) Q (iii) R

D) (i) R (ii) P (iii) Q

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16) If (16/25)^1−x × (5/4)^−x = 4/5, then the value of x is:

A) 4

B) 2

C) 3

D) 1

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17) If
4²ˣ ÷ 2³ = 2⁹,
find x.

A) 2

B) 1

C) 4

D) 3

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18) Read the given statements carefully and select the correct option.

A) Statement-1 is true but Statement-2 is false

B) Both Statement-1 and Statement-2 are false

C) Both Statement-1 and Statement-2 are true

D) Statement-1 is false but Statement-2 is true

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19) A wall grows row by row.
Row number n has 2ⁿ tiles.

If Row 5 has 32 tiles,
how many tiles are there in Row 3?

A) 4

B) 16

C) 12

D) 8

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20) A server uploads data exponentially:
Each minute it uploads four times as much as the previous minute.

In the 8ᵗʰ minute, it uploads 4096 MB.

In which minute did it upload exactly 16 MB?

A) 5th Minute

B) 2nd Minute

C) 4th Minute

D) 3rd Minute

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