An easy question on cycles for P1–P2, with a step-by-step solution, diagrams and the answer. Cycle questions appear in the Hua Xia Cup from the P1 first round to the P5 papers: which comes in a given place, which day of the week, which last digit.
The question
A row of flower pots stands at the school gate, repeating the pattern red, yellow — 11 pots in all.
How many of the pots are yellow?
Show the hints (2)
💡Hint 1: How many pots make one group? How many yellow pots in a group?
💡Hint 2: How many whole groups are in 11 pots? What colour are any pots left over?
Worked solution
Have a go first, then read the solution step by step.
1.Groups of 2, each with 1 yellow pot. 11 ÷ 2 = 5 remainder 1.
2.5 groups give 5 yellow pots; the 1 left over are red, no yellow. In all 5.
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