Don't know which course to pick? Our quiz can help!

Sup-maths-course-suggestion quiz

Please note that it is **not** a qualifying quiz, so please answer to the best of your **own** knowledge! It is merely for the purpose of giving you a recommendation on which sup-maths course to take. In any case it is good to read the description of the course you want to apply for.

There is no time-pressure and you advised not to use**any** sort of external help. It is just you, your knowledge, your thinking abilities and 22 questions. It is perfectly fine not to be able to respond to all the questions (especially the last ones), so do not worry :)

Just in case, there**might be several correct answers** to the question. You **need to select all of them to get the question right**!

There is no time-pressure and you advised not to use

Just in case, there

Start the quiz |

There are three jars with labels "raspberry", "strawberry" and "raspberry or strawberry". In each of the jars there is currant, raspberry or strawberry jam (each type of the jam is present). It turned out that all the labels are wrong. In which jar there is strawberry jam?

Next |

Submit |

Show results |

There are two claims about the weather last week:

1) "It was raining everyday last week!"

2) "Last week it was either New Year or Kvanta's birthday."

Which of the following contain two claims about last week, that are opposite in meaning to claim 1 and claim 2 respectively?

1) "It was raining everyday last week!"

2) "Last week it was either New Year or Kvanta's birthday."

Which of the following contain two claims about last week, that are opposite in meaning to claim 1 and claim 2 respectively?

Next |

Submit |

Show results |

Which of the following claims are true? Remember to select all that are correct!

Next |

Submit |

Show results |

Which of the following can be counted as a correct solution to the following problem: What is the biggest possible number of kings can be placed on a chessboard in such a way that none of them attack each other?" Feel free to google how the chess king moves if you do not know how.

Next |

Submit |

Show results |

How many 5-digit numbers are there that contain only even digits?

Next |

Submit |

Show results |

There is a board *n* x *n* consisting of unit squares. How many unit segments are there on the picture?

(for example, if*n* = 2 then there are 12 unit segments. You need to answer the question for general *n*)

(for example, if

Next |

Submit |

Show results |

Two questions about remainders:

1) How many possible remainders are there modulo 100?

2) Suppose you multiply 2 by itself 100 times. What remainder modulo 7 will you get?

1) How many possible remainders are there modulo 100?

2) Suppose you multiply 2 by itself 100 times. What remainder modulo 7 will you get?

Next |

Submit |

Show results |

Three people: Ana, Bob and Cara one-by-one remove stones from a pile of 30 stones. Ana goes first and can remove 1, 2 or 3 stones from the pile. Bob goes next and can remove 0, 1 or 2 stones from the pile. Cara goes next and can remove 1, 2 or 3 stones from the pile. Then Ana removes 1, 2 or 3 stones again, then Bob removes 0, 1 or 2 stones and so on... Player who cannot make a move (i.e all the stones are gone), loses. Which of the following statements are true? As always: select all that apply!

Next |

Submit |

Show results |

There are 10 numbers written on a board: 1, 2, ..., 10. On each turn Jackie erases two of the numbers from the board and writes down their sum instead. He does so 9 times. What are the possible values of the number that will be left?

Next |

Submit |

Show results |

The sum of numbers *a* and *b* is equal to 10, the sum of numbers *a* and *с* is equal to 20. What are the possible values of the expression *a* x *a* + *a* x *b* + *a* x *c* + *b* x *c* ?

Next |

Submit |

Show results |

There is a graph that happens to be a tree. It contains 100 vertices. How many edges can it possible have?

Next |

Submit |

Show results |

What is the binary representation of a hundred?

Next |

Submit |

Show results |

How many points of intersection can two distinct circles possibly have?

Next |

Submit |

Show results |

Let *BD* be a median of a triangle *ABC*. Let *E*, *F* be the points on a segment *BD* such that *BE* = *EF* = *FD*. It turned out that *AF* is equal to *AD*. What are the possible ratios of *AB* : *CE*?

Next |

Submit |

Show results |

There is a group of 7 people and one of them is Bob. Mr. Smith picks 3 people at random. What is the probability that mr. Bob will be among the people picked?

Next |

Submit |

Show results |

How many zeros does the number 100! end with?

Next |

Submit |

Show results |

Which of the following claims on the picture are true?

Next |

Submit |

Show results |

Find the value of the expression on the picture.

Next |

Submit |

Show results |

Suppose you expand the 10-th power of (*a* + *b*). What will be the sum of the coefficients?

Next |

Submit |

Show results |

A ball is made of 32 pieces of leather: some of them are white hexagons and the rest is black pentagons. It turned out that all the neighbors of any of the black pieces are white and exactly half of the neighbors of any of the white pieces are black. How many pieces of white leather can be there?

Next |

Submit |

Show results |

There are two sequences:

1) Sequence of three last digits in decimal representation of the powers of two (here is how it starts: 002, 004, 008, 016, 032, 064, 128, 256, ....);

2) Sequence of digits 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, .... (here the digits of positive integers are being written one by one);

Which of them are periodic (maybe starting from some moment)?

1) Sequence of three last digits in decimal representation of the powers of two (here is how it starts: 002, 004, 008, 016, 032, 064, 128, 256, ....);

2) Sequence of digits 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, .... (here the digits of positive integers are being written one by one);

Which of them are periodic (maybe starting from some moment)?

Next |

Submit |

Show results |

Let *A* be the number of integers less than 1000000 such that the sum of their digits is 18, and let *B* the number of integers less than 1000000 such that the sum of their digits is 36. What is the value of (*A* - *B*)?

Next |

Submit |

Show results |

Your test results suggest you start from the beginning of Junior level courses (1-A, 1-B or 2-A)

Restart |

Your test results suggest you try one of the courses from the second half of Junior-level courses (2-B, 3-A or 3-B)

Restart |

Restart |

Your test results suggest you can manage intermediate-level courses 4-A, 4-B and 5-A. Preferably start with 4-A

Restart |

Your test results suggest you can manage intermediate-level courses, maybe even including 6-B (but please have a look at the curriculum). It is still might be useful to start from 4-A though.

Restart |

Your test results suggest you can have a look at senior level-courses. Now you should definitely check the curriculum and decide whether you want to try to apply for senior courses.

Restart |