Quiz

BuzzFeed Staff, UK

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<b>These questions are actually meant for 12 year olds but you won't believe it.</b> All questions taken from the 2014 junior <a href="http://www.ukmt.org.uk/individual-competitions/junior-challenge/" target="_blank">maths challenge</a> paper.

These questions are actually meant for 12 year olds but you won't believe it. All questions taken from the 2014 junior maths challenge paper.

The Hardest Mental Maths Quiz You Will Ever Take

One method is to first work out the value of the expression in the brackets and then divide
the result by 9. This gives
(999 − 99 + 9) ÷ 9 = 909 ÷ 9 = 101.  
Alternatively, we can first divide each number in the bracket by 9 and then evaluate the
resulting expression. This gives
(999 − 99 + 9) ÷ 9 = (111 − 11 + 1) = 101.

What is (999 − 99 + 9) ÷ 9?

There are 24 hours in a day. 24 divided by 12 = 2.   
And in 2 hours there are 120 minutes. Duh!

How many minutes are there in 1/12 of a day?

The seats between us are numbered from T18 up to T38. So the seats between us are
the 38 seats from T1 up to T38, other than the 17 seats from T1 up to T17. So there are
38 − 17 = 21 seats between us...OBVIOUSLY!

In my row in the theatre the seats are numbered consecutively from T1 to T50. I am sitting in seat T17 and you are sitting in seat T39. How many seats are there between us?

Yeah for this one you just have to be real good at long multiplication. Sorry.

The number 987,654,321 is multiplied by 9. How many times does the digit 8 occur in the result?

The smallest 4-digit number is 1000. The largest 3-digit number is 999. So their difference
is equal to 1000 − 999 = 1.  
OF COURSE.

What is the difference between the smallest 4-digit number and the largest 3-digit number?

Two sides of the square are wholly black, and 2/5
of two sides are grey. So the length of the
perimeter that is grey is equal to 2 × 2/5 = 4/5 of the length of one side. The length of the perimeter is 4 times the length of one side. So the fraction of the perimeter that is grey is the sum shown in the image.

The diagram shows a square divided into strips of equal width. Three strips are black and two are grey. What fraction of the perimeter of the square is grey?

It is easier to subtract the smaller number, 2014, from the larger number, 4102. Now
4102 − 2014 = 2088
and so
2014 − 4102 = −2088.  
I MEAN DUH.

What is 2014 − 4102 ?

It is important to remember that we do not regard 1 as a prime number.
We see that 12, 1234 and 123 456 are not prime numbers because they are divisible by 2. Also, 123 is not a prime number because it is divisible by 3, and 12 345 is not a prime
number because it is divisible by 5.
So there are no prime numbers in the list.  
That one is quite tricksy tbh.

How many prime numbers are there in the list 1, 12, 123, 1234, 12 345, 123 456 ?

Calculate the area of both triangles using the formula:   
Area = 1/2 (base x height)   
And then work out the fraction by dividing the area of _PQR_ by _XYZ_.

Triangles _XYZ_ and _PQR_ are drawn on a square grid. What fraction of the area of triangle _XYZ_ is the area of triangle _PQR_?

We have labeled the diagram to help explain this answer. _PR_ = _RS_ because they are sides of a square, and _RS_ = _RT_ because they are sides of an equilateral triangle. _RQ_ = _RT_ because they are also sides of a square. Therefore _RQ_ = _PR_.   
And because _RQ_ and _PR_ are sides of an isosceles triangle, angle _RPQ_ = angle _RQP_.   
Right now remember that angles of a triangle totaled equals 180°. And angles of a square are all 90° and angles of an equilateral triable are all 60°. Following? Good.   
So all the angles at point _R_ must equal 360°. So...  
Angle _PRQ_ = 360 – (90 + 90 + 60) = 120.   
Therefore _x_ = (360 – 120) / 2 = 30.  
WOOO WE DID IT.

An equilateral triangle is surrounded by three squares, as shown. What is the value of _x_?

Another tricksy one this. The third term of the sequence is 1 + 2 = 3, the fourth term is 1 + 2 + 3 = 6, the fifth term is
1 + 2 + 3 + 6 = 12, and so on. So the sequence begins
1, 2, 3, 6, 12, 24, 48, 96  
The trick is spotting that from the 4th term onwards each term is just double the previous term. Therefore 72 does not appear.

The first two terms of a sequence are 1 and 2. Each of the following terms in the sequence is the sum of all the terms which come before it in the sequence. Which of these is not a term in the sequence?

If after division by 18 the number has to be increased by 100, then before the division it
needs to be increased by 18 × 100 = 1800. So we need to find two adjacent digits in the
number 952 473 which when swapped increase it by 1800.
If 952 473 is increased by 1800 it becomes 952 473 + 1 800 = 954 273. We obtain 954 273
from 952 473 by swapping the adjacent digits 2 and 4.  
C'MON you got that one right?

In the division calculation 952 473 ÷ 18, which two adjacent digits should be swapped in order to increase the result by 100?

Normal people can't do maths this hard. You are like everyone else. Don't sweat it. Go on with your normal life.

You are a normal person.

You got some of these questions right. That is impressive go pat yourself on the back.

You are really quite clever.

You would have got a bronze award in last years maths challenge possibly. If you'd done this well on the rest of the test. And if you are like 12. But if not that is still VERY IMPRESSIVE.

Woah there cleverclogs.

We bow down. This is incredible. I take all the hats I have ever worn off. You would have got a silver award in the maths challenge last year. If you'd done this well on the rest of the test. And if you are like 12. But if not that is still VERY IMPRESSIVE.

You are a genius.

No one is this clever. You used a calculator. Go home.

You cheated.

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The Hardest Mental Maths Quiz You Will Ever Take

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