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Whole Numbers (Pri-5)

/ Whole Numbers Bukit Panjang Primary School / Homework (2018)
Na

August 6, 2018
 
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Answer 1 Comments 1
Aug 6, 2018 07:45 AM
GUIDE: looking at the patterns, see what part is constant and what part is growing. Then write a general equation that involves the Pattern Number. Then solve.

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From the table, notice that 2 squares are constant at the bottom for all:4  -> 2 + 2 8  -> 2 + 614  -> 2 + 1222  -> 2 + 20So No of Squares = 2 + ( P ) ( P+1 ),  where P is Pattern number ---a) No of Squares = 2 + ( 99 ) ( 99+1 ) = 9902---b) 2 + ( P ) ( P+1 ) = 602   ( P ) ( P+1 ) = 600    24 ( 24 + 1 ) = 600-> P = 24  (ans)
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Comments 4
Aug 6, 2018 07:43 AM
We know (P)(P+1) by observing the sides of the rectangle above the 2 bottom constant squares.
Aug 6, 2018 11:09 PM
@Admino
I do not understand for (b) how you get 24?
Aug 6, 2018 11:33 PM
Actually you need to solve the quadratic equation (involving square of P & P) but this is not done in primary level. The next easiest thing to to take the square root of 600 (= 24.49) since the 2 factors are almost equal (difference of 1). Then deduce the answers from there.
Aug 6, 2018 11:35 PM
Nathan, if you receive an alternative answer in class, do share it here. I am sure other students will be keen to know too. Thanks :)
August 6, 2018
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