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Dissector

10 cm

20 cm
One has a rectangle of dimensions 20 cm x 10 cm.
Make exactly two straight cuts and transform it into a
2
square of area 200 cm .
Explain!
Ratio
With four congruent
isosceles right triangles and
a square this pentagon was
composed. Determine the
ratio of the shaded area to
the area of the pentagon.
Justify your answer!
Cubic
This cube is made up of
black and white unit
cubes.
The black regions indicate
that the black cubes cross
the cube all the way
through the opposite face.
How many white cubes
make up the large
cube?
Good calculator

In the diagram the
product of the numbers
in each quarter of the
circle is the same.
Determine a x b x c.

10 30
16 6

4

b

24 a 15 12
10

c
Primes
Reconstruct the multiplication in such a way that
each of the prime digits appears exactly two times.
What we must decide is perhaps
how we are valuable, rather than
how valuable we are.
F. Scott Fitzgerald

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Junio

  • 1. Dissector 10 cm 20 cm One has a rectangle of dimensions 20 cm x 10 cm. Make exactly two straight cuts and transform it into a 2 square of area 200 cm . Explain!
  • 2. Ratio With four congruent isosceles right triangles and a square this pentagon was composed. Determine the ratio of the shaded area to the area of the pentagon. Justify your answer!
  • 3. Cubic This cube is made up of black and white unit cubes. The black regions indicate that the black cubes cross the cube all the way through the opposite face. How many white cubes make up the large cube?
  • 4. Good calculator In the diagram the product of the numbers in each quarter of the circle is the same. Determine a x b x c. 10 30 16 6 4 b 24 a 15 12 10 c
  • 5. Primes Reconstruct the multiplication in such a way that each of the prime digits appears exactly two times.
  • 6. What we must decide is perhaps how we are valuable, rather than how valuable we are. F. Scott Fitzgerald