Page 173 - NUMINO Challenge_M2
P. 173
Answer
Key
4. Four Fours
EEExxxeeerrrccciiissseee 4+3+2+1=10, which is less than the given result. Since +, -, and ^
need to be used once each, use multiplication to make a large number,
then subtract and add to make 11.
4^3=12, and 12-2+1=11, so 4^3-2+1=11.
4 3 2 1 11
EEExxxeeerrrccciiissseee The following tables show how numbers from 1 to 14 are made using the
given numbers and operation symbols. Answers will vary.
1 1 (3 1 1 1) 2 312
3 1 4 (9 3 1 1 4)
3 3 (3 1 1 3) 4
936
5 3 1 1 5 (9 3 1 5) 6 9 1 8 (9 3 1 1 8)
7 9 1 1 7 (9 3 1 7) 8 9 1 10
9 3 12
9 9 (9 1 1 9) 10 9 3 1 1 14
11 9 1 1 11 (9 3 1 11) 12
13 9 3 1 13 14
Type Study 5+4+3+2+1=15, 1=15
so 5 4 3 2
To have a result of 13, 1 must be subtracted from the sum of the numbers
from 2 to 5.
5 4 3 2 1=13
2 less than the result of can be made by subtracting 2 and adding 1.
5 4 3 2 1=11
2 less than the result of can be made by subtracting 2 and 1.
5 4 3 2 1=9 or 5 4 3 2 1=9
36 NUMINO Challenge M2
Key
4. Four Fours
EEExxxeeerrrccciiissseee 4+3+2+1=10, which is less than the given result. Since +, -, and ^
need to be used once each, use multiplication to make a large number,
then subtract and add to make 11.
4^3=12, and 12-2+1=11, so 4^3-2+1=11.
4 3 2 1 11
EEExxxeeerrrccciiissseee The following tables show how numbers from 1 to 14 are made using the
given numbers and operation symbols. Answers will vary.
1 1 (3 1 1 1) 2 312
3 1 4 (9 3 1 1 4)
3 3 (3 1 1 3) 4
936
5 3 1 1 5 (9 3 1 5) 6 9 1 8 (9 3 1 1 8)
7 9 1 1 7 (9 3 1 7) 8 9 1 10
9 3 12
9 9 (9 1 1 9) 10 9 3 1 1 14
11 9 1 1 11 (9 3 1 11) 12
13 9 3 1 13 14
Type Study 5+4+3+2+1=15, 1=15
so 5 4 3 2
To have a result of 13, 1 must be subtracted from the sum of the numbers
from 2 to 5.
5 4 3 2 1=13
2 less than the result of can be made by subtracting 2 and adding 1.
5 4 3 2 1=11
2 less than the result of can be made by subtracting 2 and 1.
5 4 3 2 1=9 or 5 4 3 2 1=9
36 NUMINO Challenge M2

