# Sarin learns Shapes and Solids in school part 66 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings on Solving Singapore Primary School Mathematics. The blog presents the Math Concept, the Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can learn the skills to deal with the Math Modeling, the Math Problem Solving and the Problem Sum from Lower Primary School to Upper Primary School level after reading the blog postings. This posting is an upper primary school math question on Fraction Ratio, Shapes and Problem solving

Read the posting on Sarin learns Shapes and Solids in school (Math Concept) to know about shapes.

You should read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand Portion and Fraction.

You should read the posting on Sarin learns concept of ratio in school to understand mathematics concept of Ratio.

Challenge yourself with the question before look for the given solution‼!

Upper primary school mathematics question UPQ541

The figure below, not drawn to scale, shows 3 triangles A, B and C overlapping one another. The area of triangle A is 1/3 the area of triangle B and the area of triangle B is 2/3 the area of triangle C.

Express the blue region of triangle B as a fraction of the blue region of triangle C. Solution:

Draw the model per the fraction given, The overlepping or Area of A is 2 units,

The blue region of B as a fraction of blue region of C = 4/7

Alternative solution:

Using ratio,

Area of A : Area of B = 1 : 3 = 2 : 6

Area of B : Area of C = 2 : 3 = 6 : 9

Area of A : Area of B : Area of C = 2 : 6 : 9

White region of B : Blue region of B : Area of B = 1 : 2 : 3 = 2 : 4 : 6

White region of C : Blue region of C : Area of C = 2 : 7 : 9

Blue region of B : Blue region of C = 4 : 7

In fraction = 4/7