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"Ultimate" Arithmetic Trivia Quiz

This quiz involves some arithmetic, bases and Roman numerals. Be warned - although it starts easily, it gets harder as it goes on. All the answers should appear as numerals, unless otherwise specified. There is a twist to it - see if you can spot it.

A multiple-choice quiz by Lottie1001. Estimated time: 7 mins.

Author
Lottie1001

Time
7 mins

Type
Multiple Choice

Quiz #
277,608

Updated
Jul 23 22

# Qns
10

Difficulty
Tough

Avg Score
6 / 10

Plays
1116

Question 1 of 10

1. A very easy one to warm up with!
Six sevens are ?

Answer: (A number)

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Question 2 of 10

2. What is XLII in Arabic numerals?

Answer: (A number)

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Question 3 of 10

3. 101010 looks like a big number, but it's written in binary. What is its decimal equivalent?

Answer: (A number)

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Question 4 of 10

4. What do you get if you divide the number of hours in a week by the sum of the sides on a triangle and the number of natural satellites of the earth?

Answer: (A number)

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Question 5 of 10

5. What do you get if you regard the first two decimal places of Pi as an integer, and multiply it by the integral part of Pi?

Answer: (A number)

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Question 6 of 10

6. A spider finds it easier to work in base eight rather than base ten.
What is the decimal equivalent of a spider's 52?

Answer: (A number)

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Question 7 of 10

7. Which number has just the three prime factors of two, three and seven?

Answer: (A number)

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Question 8 of 10

8. Back to binary, again.
1100001 - (1011 x 101) = ?
Give the answer in binary.

Answer: (A binary number)

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Question 9 of 10

9. The Romans again, now.
Multiply XXI by II and give the answer in Roman numerals.

Answer: (A Roman number)

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Question 10 of 10

10. Divide the number of days in a leap year by the number of feet in a yard, then subtract the product of the number of ounces in a pound and the number of cents in a nickel.

Answer: (A number)

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Quiz Answer Key and Fun Facts

1. A very easy one to warm up with! Six sevens are ?

Answer: 42

Primary or elementary maths should have made sure that you know your tables well enough to do this one.

2. What is XLII in Arabic numerals?

Answer: 42

L is 50
X is 10
Placing the X before the L indicates that it is to be subtracted, giving 40.
I is 1, so II is 2.
Placing the II after the XL indicates that 2 is to be added to 40, giving 42.

3. 101010 looks like a big number, but it's written in binary. What is its decimal equivalent?

Answer: 42

Binary is just base two instead of base ten, which we use every day.
So the columns represent 1, 2, 4, 8, 16, 32 etc.
101010 is equivalent to (1 x 32) + (0 x 16) + (1 x 8) + (0 x 4) + (1 x 2) + (0 x 1) = 32 + 8 + 2 = 42.

4. What do you get if you divide the number of hours in a week by the sum of the sides on a triangle and the number of natural satellites of the earth?

Answer: 42

168 hours in a week.
3 sides on a triangle.
1 natural satellite of the earth.
168 / (3 + 1) = 168 / 4 = 42.

5. What do you get if you regard the first two decimal places of Pi as an integer, and multiply it by the integral part of Pi?

Answer: 42

To two decimal places, Pi = 3.14
14 x 3 = 42.

Some Americans celebrate Pi (or pie) day on 14th March (3/14), which is confusing to Britons, because we would write that date as 14/3!

6. A spider finds it easier to work in base eight rather than base ten. What is the decimal equivalent of a spider's 52?

Answer: 42

Base eight means that the columns represent 1, 8, 64, etc.
52 in octal is equivalent to (5 x 8) + (2 x 1) = 42.

7. Which number has just the three prime factors of two, three and seven?

Answer: 42

If the number has just three prime factors, it must be the product of those factors.
2 x 3 x 7 = 42.

8. Back to binary, again. 1100001 - (1011 x 101) = ? Give the answer in binary.

Answer: 101010

Binary arithmetic works just like decimal, remembering that as soon as you have "2" or "10" as a total it needs moving to the next column.
1011 x 101 = 101100 + 1011 = 110111
1100001 - 110111 = 101010

Alternatively, you can convert the numbers to decimal, and back again.
97 - (11 x 5) = 97 - 55 = 42.
42 is 101010 in binary (see question 3).

9. The Romans again, now. Multiply XXI by II and give the answer in Roman numerals.

Answer: XLII

XXI = 21
II = 2
21 x 2 = 42
42 is XLII in Roman numerals, which you already knew if you got question 2 correct.

10. Divide the number of days in a leap year by the number of feet in a yard, then subtract the product of the number of ounces in a pound and the number of cents in a nickel.

Answer: 42

366 days in a leap year.
3 feet in a yard.
16 ounces in a pound.
5 cents in a nickel.

366/3 = 122
16 x 5 = 80
122 - 80 = 42

Yes - all the answers are supposed to be 42! It is the answer to the ultimate question about life, the universe and everything according to Douglas Adams in the Hitch-hiker's Guide to the Galaxy series - hence the title of the quiz.

Thanks for playing my quiz. I hope you enjoyed it.

Source: Author Lottie1001

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