Page 153 - NUMINO Challenge_M2
P. 153
Answer
Key
2. Drawing Tables
EEExxxeeerrrccciiissseee 2 numbers that 0 1 2 3 4 5 6 7 8
have a sum of 8 8 7 6 5 4 3 2 1 0
Product 0 7 12 15 16 15 12 7 0
The two numbers that have a sum of 8 and a product of 12 are 2 and 6.
Type Study If Jan takes 1 more acorn from the tree, then Dan should take 3 more
acorns and Stan should take 2 more acorns.
Dan: 3 acorns, Stan: 2 acorns
Number of acorns Dan takes 3 4 5 6 7 8 9
Number of acorns Stan takes 2 3 4 5 6 7 8
Number of acorns Jan takes 1 2 3 4 5 6 7
Total number of acorns 6 9 12 15 18 21 24
Dan: 8 acorns, Stan: 7 acorns, Jan: 6 acorns
Problem solving
1 The number of dolls Kevin has is 1 more than what Daniel has and 2 times
more than what Lisa has. Use a table to find the number of dolls each person
has when the total number of dolls is 24.
Number of dolls Lisa has 1 23 4 5
Number of dolls Kevin has 2 4 6 8 10
Number of dolls Daniel has 1 35 7 9
Sums 4 9 14 19 24
When the total number of dolls is 24, Daniel gets 9 dolls.
2 Draw a table showing the number of marbles in each purse when each purse
has at least 1 marble.
Red purse 1 2 3 4 5 6 7 8
Blue purse 8 7 6 5 4 3 2 1
The red purse has more marbles than the blue purse when there are 5, 6, 7, or
8 marbles in the red purse. There are a total of 4 ways.
16 NUMINO Challenge M2
Key
2. Drawing Tables
EEExxxeeerrrccciiissseee 2 numbers that 0 1 2 3 4 5 6 7 8
have a sum of 8 8 7 6 5 4 3 2 1 0
Product 0 7 12 15 16 15 12 7 0
The two numbers that have a sum of 8 and a product of 12 are 2 and 6.
Type Study If Jan takes 1 more acorn from the tree, then Dan should take 3 more
acorns and Stan should take 2 more acorns.
Dan: 3 acorns, Stan: 2 acorns
Number of acorns Dan takes 3 4 5 6 7 8 9
Number of acorns Stan takes 2 3 4 5 6 7 8
Number of acorns Jan takes 1 2 3 4 5 6 7
Total number of acorns 6 9 12 15 18 21 24
Dan: 8 acorns, Stan: 7 acorns, Jan: 6 acorns
Problem solving
1 The number of dolls Kevin has is 1 more than what Daniel has and 2 times
more than what Lisa has. Use a table to find the number of dolls each person
has when the total number of dolls is 24.
Number of dolls Lisa has 1 23 4 5
Number of dolls Kevin has 2 4 6 8 10
Number of dolls Daniel has 1 35 7 9
Sums 4 9 14 19 24
When the total number of dolls is 24, Daniel gets 9 dolls.
2 Draw a table showing the number of marbles in each purse when each purse
has at least 1 marble.
Red purse 1 2 3 4 5 6 7 8
Blue purse 8 7 6 5 4 3 2 1
The red purse has more marbles than the blue purse when there are 5, 6, 7, or
8 marbles in the red purse. There are a total of 4 ways.
16 NUMINO Challenge M2

