Page 116 - NUMINO Challenge_A2
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03 Find the measurable masses using:
One weight: 1 g, 3 g, and 5 g
Two weights: 1 1 2 g, 1 3 4 g, 3 3 6 g, 1 5 6 g, 3 5 8 g, 5 5 10 g
Three weights: 1 1 3 5 g, 1 3 3 7 g, 1 3 5 9 g, 3 3 5 11 g,
3 5 5 13 g
Four weights: 1 1 3 3 8 g, 1 1 3 5 10 g, 1 3 3 5 12 g,
1 1 5 5 12 g, 1 3 5 5 14 g, 3 3 5 5 16 g
Five weights: 1 1 3 3 5 13 g, 1 1 3 5 5 15 g, 1 3 3 5 5 17 g
Six weights: 1 1 3 3 5 5 18 g
Therefore, the masses that cannot be measured are 19 g and 20 g.
04 Sum of the Lengths of the Red Lines
(Two Sides of a Square) (One Side of a Square)
(One Side of a Square)
One Side of a Square One Side of a Triangle. Therefore,
One Side of the Triangle
(Perimeter of the Figure) (Number of Sides of a Triangle)
18 9 2 cm
05 Title: A Tank
9 39
Title: A Telephone 3
3
9
9 39
Answers will vary. 3
3
9
11Answer Key
One weight: 1 g, 3 g, and 5 g
Two weights: 1 1 2 g, 1 3 4 g, 3 3 6 g, 1 5 6 g, 3 5 8 g, 5 5 10 g
Three weights: 1 1 3 5 g, 1 3 3 7 g, 1 3 5 9 g, 3 3 5 11 g,
3 5 5 13 g
Four weights: 1 1 3 3 8 g, 1 1 3 5 10 g, 1 3 3 5 12 g,
1 1 5 5 12 g, 1 3 5 5 14 g, 3 3 5 5 16 g
Five weights: 1 1 3 3 5 13 g, 1 1 3 5 5 15 g, 1 3 3 5 5 17 g
Six weights: 1 1 3 3 5 5 18 g
Therefore, the masses that cannot be measured are 19 g and 20 g.
04 Sum of the Lengths of the Red Lines
(Two Sides of a Square) (One Side of a Square)
(One Side of a Square)
One Side of a Square One Side of a Triangle. Therefore,
One Side of the Triangle
(Perimeter of the Figure) (Number of Sides of a Triangle)
18 9 2 cm
05 Title: A Tank
9 39
Title: A Telephone 3
3
9
9 39
Answers will vary. 3
3
9
11Answer Key
