The figure is not drawn to scale. What fraction of the figure is the total area of the shaded regions A, B, C, D, E, F, G and H?
Solution
The base of the whole figure is (4 + 3 + 6 + 3 + 2) cm = 18 cm
1st row from the top
Fig A has a base of 6 cm.
2nd row
The sum of the bases of Figs B and C is 6 cm.
3rd row
The sum of the bases of Figs D and E is 6 cm.
4th row
The sum of the bases of Figs F and G is 6 cm.
5th row
Fig H has a base of 6 cm.
The average length of the bases of all shaded figures is 6 cm.
The length of the base of the whole figure is 18 cm.
Therefore, the fraction of whole figure that is shaded is
6 cm divided by 18 cm = 1/3
Answer: 1/3
Note that the above method can be used because the vertical columns also correspond to the 6 cm shaded out of the 18 cm total vertical length of the figure.
This blog is managed by Song Hock Chye, author of Improve Your Thinking Skills in Maths (P1-P3 series), which is published and distributed by EPH.
Friday, September 25, 2009
Rosyth Sch 2007 PSLE Math Prelim Q44
Labels:
Four Sided Figures,
Mathematics
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3 comments:
Emm...i still don't understand this question.can you please explain a bit furthur?
yea abit confusing . ><
so damning easy!!! I wish PSLE would be harder than this!!!
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