Page 125 - NUMINO Challenge_B1

Type 14-1 Measurable Lengths

Four steel wires that are 1 cm, 3 cm, 5 cm, and 12 cm long each are
connected to one another. The shortest length that can be measured
by using these wires is 1 cm. The longest length that can be measured
is 20 cm. Find the length that cannot be measured from 1 cm to 20
cm. (The unit length is 1 centimeter.)

3 cm 12 cm
1 cm
5 cm

1 By joining the 1-cm and 3-cm steel wires, you can measure 3 1 4 cm as

shown below. What length can be measured by overlapping these two

steel wires?

4 cm

1 cm 3 cm

2 By placing the 1-cm, 12-cm, and 5-cm steel wires as shown below, we can
measure 1 12 5 8 cm. What lengths can be measured by joining or
overlapping these wires?

1 cm 12 cm
8 cm
5 cm

3 Fill in the blanks with the appropriate equations for measuring lengths
from 1 cm to 20 cm with the four steel wires.

Length Measuring Length Measuring Length Measuring
(cm) method (cm) method (cm) method
1
1 8 12 1 5 8 15
2 3 9 16
3 314 10 17
4 11 18
5 5 12 19
6 13 20
7 14

4 What length cannot be measured?

122 NUMINO Challenge B1