1) Two bells ring at intervals of 4 and 6 minutes. They both ring at midday. What time will they ring together? a) 12:12 b) 12:10 c) 12 minutes d) 2 minutes 2) Two ropes are 45m and 60m long. What is the longest equal length they can be cut into? a) 15m b) 5m c) 30m d) 15m 3) Two cyclists start at the same point. One cycles 1km every 9 minutes, the other every 12 minutes. When will they meet if they start at the same time? a) 36 minutes b) 18 minutes c) 24 minutes d) 30 minutes 4) Two pieces of fabric are 28m and 42m long. What is the largest length they can be cut into equally? a) 14m b) 7m c) 21m d) 28m 5) Two lights flash every 5 and 7 seconds. They flash at the same time. When will they next flash together? a) 35 seconds b) 25 seconds c) 30 seconds d) 20 seconds 6) Two boards are 60cm and 90cm wide. What is the widest equal width they can be cut into? a) 30cm b) 20cm c) 15cm d) 10cm 7) Two trains depart from Kings Cross every 15 and 20 minutes. If they departed at the same time, when will they next depart together? a) 60 minutes b) 45 minutes c) 30 minutes d) 40 minutes 8) Two chains are 80cm and 100cm long. What is the longest equal length they can be cut into? a) 20cm b) 40cm c) 10cm d) 30cm 9) Two machines beep every 3 and 9 minutes. They both beep at the start of their operation time. When will they next beep together? a) 27 minutes b) 18 minutes c) 9 minutes d) 12 minutes 10) Two ribbons are 24m and 36m long. What is the longest equal length they can be cut into? a) 12m b) 6m c) 18m d) 24m

HCF and LCM Worded Problems

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