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QE MATHS WEBSITE

Welcome to the the puzzles page of the QE Maths site. Here you will find some of the most challenging Mathematical problems , and hopefully you will be able to solve them, there should be answers available for all of them.

1. Fresh Mango contains 70% water by weight whereas dry mango contains 10% water by weight. What is the weight of dry mango that can be obtained from 20 kg of Fresh Mango?

2. Without using a calculator or a pencil and paper, which of these is a perfect square?

2893467827688677
5916378240699596
9134751098236810
79242972893648656

3. What is the accumulated value of $500 invested for 5 years at 6 percent per annum, convertible monthly?

$674.43
$512.63
$669.11
$530.84

4. If 2 to the power of 2x-4 = 8, what is the value of x?

4
5
3
7 over 2

5. If 24th November of 2002 happens to be a Sunday, then on what date would the second Sunday of December 5002 fall?

8th December
11th December
12th December
14th December

6. How many zeros follow the number 1 in a vigintillion written in Germany?

120
93
126
63

7. At a certain high school, 30 students study French, 40 study Spanish, and 25 study neither. If there are 80 students in the school, how many study both French and Spanish?

8. When I take the digits 1, 2, 3, 4, and 5, how many different 5 digit numbers can be formed if you may not use the same digit twice in the number?

120
125
25
100

9. Same question, but this time every digit can be used as often as desired?

3125
2500
3225
4250

10. If a?b means a(a+b) and a#b means b(a-b), find 5?(8#3).

100
120
110
130

11. The average cost of items at a candy store is 90 cents. If 10 percent of the items cost 65 cents and 40 percent cost 85 cents, what is the average cost of the remaining items in cents?

92
99
80
84

12. What amount of money must be deposited now to be worth $10,000 in 4 years if compunded continuosly at an annual interest rate of 5%?

$2,500.00
$1,353.35
$8,187.31
$8,219.27