Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!
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Two numbers have a difference of 21. One number is 21% greater than the other. What are the two numbers?
Find the values of a, b, c, and d.
2a + 3b = 28,
8c + 6d = 40.
A biography of Queen Elizabeth II is published at five year intervals. The sum of the publication years is 10030.
When was the first volume published?
The difference between 13 and 7 is exactly one-twentieth of the difference between their squares:
13 − 7 = 6
132 − 72 = 120.
What other pairs of positive, whole numbers can you find whose difference is exactly one-twentieth of the difference of their squares?
Anne and Billy race over 100 m and Anne wins by 10 m.
They always run at the same rate.
In the next race the teacher starts Anne 11 m behind the start line.
Who will win and by what distance?
A cuboid fish tank is tilted so the water is reaching the top edge and the midpoint of the base as shown.
What is the depth of the water in the tank when the tank is returned to a horizontal position?
Only the numbers 1, 2, 3, and 4 are used.
Each row and column add to the number shown.
No numbers are repeated in any row or column.
Complete the grid.
Two congruent equilateral triangles overlap so that the area of the overlap (shaded yellow) equals half of either of the other two areas.
Which is longer, AB or CB?
From the box choose pairs of numbers that:
add up to 15,
add up to 25,
add up to 35,
add up to 45.
What is the odd number out?
Each letter stands for a different digit.
So if A = 7 and B = 3, AB would mean 73 and AB = 7 cubed.
If AY = IS, AD = SA and (IS)Y = YES, find the values for A, E, I, S, Y.
What is (YES)Y ?
Hint: for the garden!