1MA0 Higher June 2013 Paper 1 Q9
9 Matt and Dan cycle around a cycle track.
Each lap Matt cycles takes him 50 seconds.
Each lap Dan cycles takes him 80 seconds.
Dan and Matt start cycling at the same time at the start line.
Work out how many laps they will each have cycled when they are next at the start line together. (3)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| LCM (80, 50) = 400 Matt \(400 \div 50 = 8\) Dan \(400 \div 80 = 5\) OR \(50 = 2 \times 5 (\times 5)\) \(80 = 2 \times 5 (\times 2 \times 2 \times 2)\) | Matt 8 Dan 5 | 3 | M1 lists multiples of both 80 (seconds) and 50 (seconds) (at least 3 of each but condone errors if intention is clear, can be in minutes and seconds) or use of 400 seconds oe. M1 (dep on M1) for a division of "LCM" by 80 or 50 or counts up “multiples” (implied if one answer is correct or answers reversed) A1 Matt 8 and Dan 5 SC B1 for Matt 7, Dan 4 OR M1 for expansion of both 80 and 50 into prime factors. M1 demonstrates that both expansions include 10 oe A1 Matt 8 and Dan 5 SC B1 for Matt 7, Dan 4 |