Page 153 - NUMINO Challenge_D1
P. 153
Answer
Key
Creative Thinking p.56~p.57 3 Since is heavier than # on balance ,
1 To find the heaviest tablet among 27 tablets, notice that is light and $ is heavy. On
balance , notice that ! is light.
first divide them into three groups of nine
tablets each. Use the balance once to find which Therefore, , " , and $ are the heavy
group has the heaviest tablet. Since there are marbles.
nine tablets in each group, divide the group of
nine tablets with the heaviest tablet into three 4 When one coin, two coins, three coins, and four
groups, and use the balance twice more to find
which tablet is the heaviest. You need to use the coins (at a time) are taken out of each bag, if all
balance at least 3 times. the coins are real, the total weight will be 50 g.
However, the total weight will not be 50 g,
2 On balance , 4 or 5 has a different weight. because one bag contains only fake coins. A
fake coin weighs 1 g more than a real coin.
1 was found to be of the standard weight on Therefore, the number of fake coins will be
balance . Therefore, on balance , 4 has a equal to the amount of weight that is more than
different weight. 50 g. For example, if the ten coins weigh 52 g,
then they include two fake coins that are from B.
From this measurement, you can identify the
bag with fake coins.
NUMINO Challenge D1
Key
Creative Thinking p.56~p.57 3 Since is heavier than # on balance ,
1 To find the heaviest tablet among 27 tablets, notice that is light and $ is heavy. On
balance , notice that ! is light.
first divide them into three groups of nine
tablets each. Use the balance once to find which Therefore, , " , and $ are the heavy
group has the heaviest tablet. Since there are marbles.
nine tablets in each group, divide the group of
nine tablets with the heaviest tablet into three 4 When one coin, two coins, three coins, and four
groups, and use the balance twice more to find
which tablet is the heaviest. You need to use the coins (at a time) are taken out of each bag, if all
balance at least 3 times. the coins are real, the total weight will be 50 g.
However, the total weight will not be 50 g,
2 On balance , 4 or 5 has a different weight. because one bag contains only fake coins. A
fake coin weighs 1 g more than a real coin.
1 was found to be of the standard weight on Therefore, the number of fake coins will be
balance . Therefore, on balance , 4 has a equal to the amount of weight that is more than
different weight. 50 g. For example, if the ten coins weigh 52 g,
then they include two fake coins that are from B.
From this measurement, you can identify the
bag with fake coins.
NUMINO Challenge D1
