Ten runners

-

Ten runners, numbered 5 to 14 inclusive, take part in a race. There were no tied positions. Winston watched the race but forgot to write down the positions of the runners. Fortunately Winston is a mathematician and he remembered one fact about the number of each competitor. List all possible numbers of the competitors in the spaces below. Hence complete the table showing the final positions in the race.


1st Prime number

2nd Factor of 24 

3rd Cube number

4th Multiple of 5 

5th Factor of 187 

6th Two-digit even number in which the first digit is smaller than the second

7th Two-digit number in which both digits are square numbers 

8th Number which has exactly four factors

9th A square number

10th A number which is greater than 10

Comments

  1. Anonymous25 May 2021 at 06:20

    1st = 7, 13
    2nd = 6, 12
    3rd = 8
    4th = 5
    5th = 11
    6th = 12, 13
    7th = 14
    8th = 10
    9th = 9
    10th = 12, 13

    Now, if we do a bit of trial and error, we get
    10th = 13
    6th = 12
    1st = 7
    2nd = 6

    ReplyDelete

Post a Comment

Popular posts from this blog

A box of biscuits

-
A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?
Read More »

The Secret of the Locked Chest

-
A chest is locked with a 5-digit code. The clues to the code are as follows: The first digit is a prime number. The second digit is twice the first. The third digit is the smallest odd number. The fourth digit is the difference between the third and first digit. The last digit is the sum of the first and fourth digit. What is the code to unlock the chest?
Read More »

Word Problem

-
A bridge is built across a river. One quarter of the bridge is over the left bank of the river and one third of the bridge is over the right bank. The river is 120 m wide. How long is the bridge?
Read More »