MEASURE PROBLEMS

MEASURE PROBLEMS
MSLS
Contents
1 Planting lettuces.
1
2 Spliting the bill.
2
3 The perimeter of the shape.
3
4 Making equal two volumes.
4
5 Circular flower bed.
5
Name:
School:
Country:
Sex: Male
Female
Age
MSLS
1
Planting lettuces.
Additional information
Henry is a young farmer who produces
lettuces. To obtain lettuces with the
right dimensions and quality, he has
to sow seed and later transplant them
onto a larger plot of land that has
to follow some rules. Henry wants to
plant 300 000 lettuces.
How many kilos of seeds, Henry should
buy to get 300 000 transplantable lettuces?
Item
a
b
c
d
e
• 100 seeds weigh 10 g,
approximately.
• Only 60% of
sprouted seed are
transplantable.
• For a successful
transplant, it must be
kept space of 40 cm,
on average, between
each lettuce.
Problem 1
Make a correct interpretation
Use a graphical representation
Make correct measure changes
Calculate properly
The final answer is correct
YES
NO
MSLS
2
Spliting the bill.
Lisa, Andrew and John travel back
home and meet each other at the airport. They decide to share a taxi,
because they live on the same route.
The minimum fare is 300 cents of euro.
When the taxi stops at Lisa’s house
the taximeter marks 18.6 e. When
Andrew gets out of the taxi it marks
24.90 e. Finally, at the end of the
trip, at John’s house, the final price is
31.50 e. How much must each of the
three friends pay for the taxi in cents
of euro?
Item
a
b
c
d
e
Problem 2
Make a correct interpretation
Use a graphical representation
Make correct measure changes
Calculate properly
The final answer is correct
YES
NO
MSLS
3
The perimeter of the shape.
The diagram shows a shape made of two
semicircles and a rectangle. The rectangle’s
weight is 30cm and the rectangle’s high is
0, 2m.
Use π = 3.1416 to work out an estimate for
the perimeter of the shape in decimeters dm.
Item
a
b
c
d
e
Problem 3
Make a correct interpretation
Use a graphical representation
Make correct measure changes
Calculate properly
The final answer is correct
YES
NO
MSLS
4
Making equal two volumes.
h
The diagram shows a sphere and a cone. The radius of the sphere is 4cm.
The radius of the base of the cone is 60mm. The volume of the sphere and
the volume of the cone are equal.
Calculate the height, h, of the cone, in centimeters (cm).
Some help:
• Sphere volumen = 43 π · r 3
• Cone volumen = 13 π · r 2 · h
Item
a
b
c
d
e
Problem 4
Make a correct interpretation
Use a graphical representation
Make correct measure changes
Calculate properly
The final answer is correct
YES
NO
MSLS
5
Circular flower bed.
D
N
C
A
M
B
Item
a
b
c
d
e
Figure is a sketch of a circular flower bed,
which is inside a rectangular garden and
which is tangent to the sides AB and CD
of the garden in sections M, respectively N.
We know that AB = 90dm and BC = 600cm
Use π = 3.1416 to work out an estimate. Calculate the area of the flower bed in square
metres (m2 ).
Problem 5
Make a correct interpretation
Use a graphical representation
Make correct measure changes
Calculate properly
The final answer is correct
YES
NO