Page 151 - NUMINO Challenge_D1
P. 151
Answer
Key
Problem solving 3 On balance , when 2 pens are replaced with 4
1 The three bottom mobiles on the right have the pencils, the weight of 2 erasers is the same as
that of 5 pencils. On balance , when 1 eraser
same distance from the center point, so they is replaced with 2.5 pencils, the weight of 1
must have the same weight. notebook is equal to 3.5 pencils. Therefore, the
order of weights from heaviest to lightest is
4 ) 2 8 1. notebook, eraser, pen, and pencil. Also, four
2 notebooks weigh the same as 14 pencils, which
is equal to the weight of 7 pens.
11
4
From the top horizontal line, (
Therefore, weighs 2 g.
8
2 From the mobiles at the bottom, 3 1g, 3g has to be 8 g,
(If 2 g and 6 g, then
since 3, 3 g and 1 g. which is impossible.)
4g
2 1 4 2, therefore 2 g and 8
4 g.
From 5 28 2, 2 g,
5 g and 6 g.
Creative Thinking p.48~p.49
6 Fake Gold Coins and Balance p.50~p.51
1 On balance , is lighter than , and on Example 4, 5, 6 4, 5, 7 4, 5
real 4
balances and , and are heavier than
. Therefore, you need to compare the weights Example ,, 2
of and to find the order of weights of the
apples.
2 In , Hippo C is heavier than Hippo A. In ,
Hippo D weighs the same as Hippo C. In ,
compare the combined weight of Hippo A and
Hippo B with the combined weight of Hippo C
and Hippo D to deduce that Hippo B is the
heaviest.
Hippo B Hippo D Hippo C Hippo A
NUMINO Challenge D1
Key
Problem solving 3 On balance , when 2 pens are replaced with 4
1 The three bottom mobiles on the right have the pencils, the weight of 2 erasers is the same as
that of 5 pencils. On balance , when 1 eraser
same distance from the center point, so they is replaced with 2.5 pencils, the weight of 1
must have the same weight. notebook is equal to 3.5 pencils. Therefore, the
order of weights from heaviest to lightest is
4 ) 2 8 1. notebook, eraser, pen, and pencil. Also, four
2 notebooks weigh the same as 14 pencils, which
is equal to the weight of 7 pens.
11
4
From the top horizontal line, (
Therefore, weighs 2 g.
8
2 From the mobiles at the bottom, 3 1g, 3g has to be 8 g,
(If 2 g and 6 g, then
since 3, 3 g and 1 g. which is impossible.)
4g
2 1 4 2, therefore 2 g and 8
4 g.
From 5 28 2, 2 g,
5 g and 6 g.
Creative Thinking p.48~p.49
6 Fake Gold Coins and Balance p.50~p.51
1 On balance , is lighter than , and on Example 4, 5, 6 4, 5, 7 4, 5
real 4
balances and , and are heavier than
. Therefore, you need to compare the weights Example ,, 2
of and to find the order of weights of the
apples.
2 In , Hippo C is heavier than Hippo A. In ,
Hippo D weighs the same as Hippo C. In ,
compare the combined weight of Hippo A and
Hippo B with the combined weight of Hippo C
and Hippo D to deduce that Hippo B is the
heaviest.
Hippo B Hippo D Hippo C Hippo A
NUMINO Challenge D1