PUZZLING PRODUCTS

 

Mindbending Puzzles
51–60

 

 

 

51.  STUDENT SUM

Of 2000 students at the University of Sumware 55% are male. Of those, 40% are studying science subjects: of those, 75% are first years; of those, 60% have fair hair, and one third of those regularly attend lectures. How many male students regularly attend lectures?

SOLUTION

 

 

 

52. DICE DILEMMA

Two dice are numbered differently and when they are thrown the total of their two uppermost numbers is noted. In order to make as many different totals as possible what are the lowest (non-negative) numbers that can appear on the dice?

SOLUTION

53. UP, UP AND AWAY

The framework of a large kite is made from eight complete pieces of aluminum linked together as shown. If the two sections that make up one side of the kite are formed by congruent triangles (triangles with the same shape), can the framework be cut from four pieces of aluminum that are10 feet long?

SOLUTION

54. SOCK SHOCK

Gerald has 31 socks in his drawer, 11 identical blue, eight identical red and 12 identical black. The lights have fused and he is completely in the dark. How many socks must he take out to make certain that he has one pair of each color?

SOLUTION

55. FLOWER ARRANGEMENT

In a class of 30 children aged 8 and 9 there are 50% more girls than boys. There are the same number of boys aged 8 as there are boys aged 9. There are a third more girls aged 8 than there are boys aged 8. How many children in the class are 9?

SOLUTION

56. GARDEN GAME

In a game of garden quoits, in which each turn equals four throws, Hani missed on two occasions, but hooped each stick twice. His score doubled from his first to his second turn and then doubled again from his second to third turn. If he missed on at least one of his first throws, what were his individual scores on each throw?

SOLUTION

57. SWEET TREAT

Sally had twice as many sweets as Jenny but they each gave 24 away, which left Sally with five times as many sweets as Jenny. How many more sweets would Sally have had
if they had only given away 16 sweets each?

SOLUTION

58. PLOT PROBLEM

Mr. Spud is drawing up plans for a new rectangular vegetable plot. He’s planning to edge the plot with wooden planks that are exactly
1 meter in length. If he does not want a square plot, what is the smallest number of planks that he would need if he wants to make this number equal to the area in square meters?

SOLUTION

59. TICK TOCK

How many minutes before noon
is it if 55 minutes ago it was
four times as many minutes
past 10 a.m.?

SOLUTION

60. CLIMBING WALL

A wall of bricks is numbered so that each number is the sum of the numbers in the two bricks immediately below it. Can you fill in the missing numbers?

SOLUTION