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Nic's Number Patterns 3 Trivia Quiz

Hi guys! Welcome to my 3rd edition of "Nic's Number Patterns"! This 3rd edition will be much harder than the other 2 editions and it is made to stress you up even more! All the best and have fun! NOTE: This quiz takes approx. 30 mins to complete.

A multiple-choice quiz by Nicteoeuheng. Estimated time: 6 mins.

Author
Nicteoeuheng

Time
6 mins

Type
Multiple Choice

Quiz #
382,333

Updated
Dec 03 21

# Qns
10

Difficulty
Tough

Avg Score
5 / 10

Plays
142

One at a Time - Single Page

Question 1 of 10

1. What is the value of x in the number pattern below?

4, 27, 256, 3125, x Hint

51255

46656

17566

40199

NEXT>

Question 2 of 10

2. What is the value of x in the number pattern below? (Round off to 4 decimal places.)

1.0000, 0.5000, 0.3333, 0.2500, x Hint

0.2200

0.1800

0.1500

0.2000

NEXT>

Question 3 of 10

3. What is the value of x in the number pattern below?

0, -1, 1, 17, x

(Hint: The Binomial Theorem is key to this question!) Hint

-1

111

NEXT>

Question 4 of 10

4. What is the value of x in the number pattern below?

2, 4.5, 8, 12.5, x Hint

17.5

18.5

NEXT>

Question 5 of 10

5. What is the value of x in the number pattern below?

1110111, 1101111, 1111011, 1011111, 1111101, x Hint

1111110

0111111

111111

1110111

6. From here onwards, a scientific calculator may really help you find the answers.

What is the value of x in the number pattern below? (Round off to 4 decimal places.)

0.0000 , 0.4771, 0.6990, 0.8451, x

Hint: logarithms are important here! Hint

0.9403

0.9542

0.9300

0.9648

NEXT>

Question 7 of 10

7. What is the value of x in the number pattern below? (Round off to 4 decimal places.)

1.5000, 1.4142, 1.3229, 1.2247, x Hint

1.1180

1.1410

1.1070

1.0800

NEXT>

Question 8 of 10

8. What is the value of x in the number pattern below? (Round off to 4 decimal places.)

1.9397, 2.8660, 3.7660, 4.6428, x

Hint: Trigonometry is key to this question! Hint

5.4710

5.5000

5.5400

5.4930

NEXT>

Question 9 of 10

9. What is the value of x in the number pattern below? (Round off to 5 decimal places.)

0.00000, 0.00000, 0.69315, 1.09861, 1.60943, x
Hint

1.94591

1.71881

2.19722

2.07944

NEXT>

Question 10 of 10

10. Very difficult: What is the value of x in the number pattern below? (Round off to 7 decimal places.)

1.1917534, 0.3068528, -0.2595127, -0.6860868, x

Hint: You will need two different functions on your calculator. One of them is trigonometric. Hint

-1.0320876

-1.0671098

-0.9817976

-0.9455937

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Quiz Answer Key and Fun Facts

1. What is the value of x in the number pattern below? 4, 27, 256, 3125, x

Answer: 46656

2^2 = 4
3^3 = 27
4^4 = 256
5^5 = 3125
6^6 = 46656

2. What is the value of x in the number pattern below? (Round off to 4 decimal places.) 1.0000, 0.5000, 0.3333, 0.2500, x

Answer: 0.2000

1/1 = 1
1/2 = 0.5
1/3 = 0.3333 (after rounding)
1/4 = 0.2500
1/5 = 0.2000

3. What is the value of x in the number pattern below? 0, -1, 1, 17, x (Hint: The Binomial Theorem is key to this question!)

Answer: 111

1! - 1 = 0
2! - 3 = -1
3! - 5 = 1
4! - 7 = 17
5! - 9 = 111

4. What is the value of x in the number pattern below? 2, 4.5, 8, 12.5, x

Answer: 18

(2^2)/2 = 2
(3^2)/2 = 4.5
(4^2)/2 = 8
(5^2)/2 = 12.5
(6^2)/2 = 18

5. What is the value of x in the number pattern below? 1110111, 1101111, 1111011, 1011111, 1111101, x

Answer: 0111111

The number "0" moves from the 4th position of the number to the 3rd position, then 5th position, then 2nd position, then 6th position and so on...

6. From here onwards, a scientific calculator may really help you find the answers. What is the value of x in the number pattern below? (Round off to 4 decimal places.) 0.0000 , 0.4771, 0.6990, 0.8451, x Hint: logarithms are important here!

Answer: 0.9542

log 1 = 0.0000
log 3 = 0.4771
log 5 = 0.6990
log 7 = 0.8451
log 9 = 0.9542

7. What is the value of x in the number pattern below? (Round off to 4 decimal places.) 1.5000, 1.4142, 1.3229, 1.2247, x

Answer: 1.1180

(sq. root 9)/2 = 1.5000
(sq. root 8)/2 = 1.4142
(sq. root 7)/2 = 1.3229
(sq. root 6)/2 = 1.2247
(sq. root 5)/2 = 1.1180

8. What is the value of x in the number pattern below? (Round off to 4 decimal places.) 1.9397, 2.8660, 3.7660, 4.6428, x Hint: Trigonometry is key to this question!

Answer: 5.5000

cos(20�) + 1 = 1.9397
cos(30�) + 2 = 2.8660
cos(40�) + 3 = 3.7660
cos(50�) + 4 = 4.6428
cos(60�) + 5 = 5.5000

9. What is the value of x in the number pattern below? (Round off to 5 decimal places.) 0.00000, 0.00000, 0.69315, 1.09861, 1.60943, x

Answer: 2.07944

ln(1) = 0
ln(2) = 0.69315
ln(3) = 1.09861
ln(5) = 1.60943
ln(8) = 2.07944

1, 1, 2, 3, 5, 8 is the beginning of the Fibonacci sequence.

Note: ln(X) is the natural (base e) logarithm of X

10. Very difficult: What is the value of x in the number pattern below? (Round off to 7 decimal places.) 1.1917534, 0.3068528, -0.2595127, -0.6860868, x Hint: You will need two different functions on your calculator. One of them is trigonometric.

Answer: -1.0320876

tan(50�) - ln(1) = 1.1917534
tan(45�) - ln(2) = 0.3068528
tan(40�) - ln(3) = -0.2595127
tan(35�) - ln(4) = -0.6860868
tan(30�) - ln(5) = -1.0320876

Note: ln(X) is the natural (base e) logarithm of X

Source: Author Nicteoeuheng

This quiz was reviewed by FunTrivia editor WesleyCrusher before going online.
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