Page 114 - NUMINO Challenge_A2

2 The lightest mass that can be measured is 2 g and the heaviest mass that can be measured is

8 g. The measurable masses that can be found with the weights are show below.

Measurable Masses Equation Measurable Masses Equation
1g 1 5g 5
2g 2 6g
3g 7g 156
4g 123 8g 257
514 1258

Therefore, the measurable masses are 1 g, 2 g, 3 g, 4 g, 5 g, 7 g and 8 g.

Creative Thinking

1 Count the number of sides of a square that make up the edges of the figure.

Start 6

12

18 35 7
1716 4 8
9

1514 1110

13 12

Since the perimeter of the figure is 90 cm, one side of a square is 90 18 5 cm.

Therefore, the perimeter of one square is 5 4 20 cm.

2 The lengths of the sides of the remaining rectangle are as shown below.

24 cm

6 cm 8 cm

2 cm

Perimeter of the Colored Portion 24 24 8 8 64 cm

3 (Line segment AD) (Line segment BE) (Line segment AE) (Line segment BD)

5 6 8 (Line segment BD)
Line segment BD 3 cm
Line segment AB (Line segment AD) (Line segment BD) 5 3 2 cm
Line segment DE (Line segment BE) (Line segment BD) 6 3 3 cm
The lengths of line segments BC and CD cannot be measured.

9Answer Key