PUZZLE SCROLLS 2. Two cars are driving around a 2 km track. One car completes a lap every 70 seconds and the other car every 60 seconds. How long will it take for the faster car to be one lap ahead?
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3. A farmer counted his cows. If he counted by 7‚ there were none left over; but with 2, 3, 4, 5 or 6 there was always 1 left over. What is the smallest amount of cows in the herd?
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1. Rhyl and Ryan race to the top of an 80-step staircase. Rhyl gives Ryan a 15 step start. Ryan covers 2 steps at a time and Rhyl 3 steps at a time. Who will reach the top first?
4. The serial number of my phone is a 4 digit number less than 5000 and uses the digits 3, 4, 6 and 9. The 4 is next to the 9, the 3 is not next to the 4 and the 6 is not next to the 3. What is the number?
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5. Draw two squares in the diagram so that all the stars are separated. * * *
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6. Find the area of the shaded parts of this square.
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Problem-solving in mathematics
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