This is the marking copy and it carries every answer. Her sheet is the other file — same numbering, same margin codes, so you can mark straight down the page.
Lisa and Max each had a roll of ribbon with the same length. They cut their roll of ribbon into shorter pieces. Each piece of Lisa’s ribbon was 6 cm. Each piece of Max’s ribbon was 10 cm. After cutting, Lisa had 16 more pieces of ribbon than Max. What was the length of each roll of ribbon?
answer 240
method Look at a length both cut sizes divide — 30 cm. In every 30 cm, Lisa gets 30 ÷ 6 = 5 pieces and Max gets 30 ÷ 10 = 3 pieces, so Lisa is 2 pieces ahead for every 30 cm. She is 16 pieces ahead in all, which is 16 ÷ 2 = 8 lots of 30 cm. So each roll was 8 × 30 = 240 cm.
watch Multiplying 16 by 6 or by 10. The 16 counts PIECES, not centimetres, so it has to be converted through a length that both cut sizes fit into.
Zainal had 5 m of ribbon at first. He used 1.4 m of it to wrap a present and some ribbon to decorate 2 cards. He had 2.6 m of ribbon left. Which of the following is the length of ribbon for each card?
(1) 1 m (2) 2 m (3) 0.7 m (4) 0.5 m
answer (4) — 0.5 m
method Find the ribbon used on the cards: 5 − 1.4 − 2.6 = 1 m for BOTH cards. Then share it: 1 ÷ 2 = 0.5 m for each card.
watch Stopping at 1 m — that is the ribbon for two cards, and the question asks for each one.