Number Properties Puzzle – Challenge 4
Number Properties Puzzle – Challenge 4 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
Challenge
A stack of rectangles is built up in rows. The top row has 2 rectangles, and each row below has one more, down to a base of 7 rectangles. The values filled in so far are:
- Row 1 (2 rectangles): 3.2, 3.2
- Row 2 (3 rectangles): 3.2, 5.5, 3.2
- Row 3 (4 rectangles): 3.2, 8.7, 7.8, 3.2
- Rows 4 to 6 are blank.
In the figure above, if the pattern continues, what is the sum of the values in all of the rectangles on the base (the sum of 7 rectangles)?
A- 121
B- 137
C- 157.7
D- 170.5
E- 176
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The correct answer is E.
Continue the pattern and add the values of the 7 rectangles in the base of the shape.
3.2 + 18.3 + 43.5 + 55 + 39 + 14.7 + 2.3 = 176
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