PSLE Jade hung some identical rings vertically. The thickness of each ring was 1 cm. The figure shows how the rings are connected.
- What was the distance from the top of the 1st ring to the bottom of the 4th ring?
- The distance from the top of the 1st ring to the bottom of the last ring was 123 cm. How many rings did Jade hang altogether?
(a)
Distance of 1 ring = 13 cm = 1 x 11 + 2
Distance of 2 rings = 24 cm = 2 x 11 + 2
Distance of 3 rings = 35 cm = 3 x 11 + 2
Distance from the top of the 1st ring to the bottom of the 4th ring
= 4 x 11 + 2
= 46 cm
(b)
Formula
Distance from the top of the 1st ring to the bottom of the last ring = Number of rings x 11 + 2
Number of rings x 11 + 2 = 123
Number of rings x 11 = 123 - 2
Number of rings x 11 = 121
Number of rings = 121 ÷ 11
Number of rings = 11
Number of rings that Jade hung altogether = 11
Answer(s): (a) 46 cm; (b) 11