Challenging Math Questions for Middle and High School Students
Explore a series of challenging math problems suitable for middle and high school students. These questions cover a range of topics including magic squares, currency puzzles, and packing boxes, providing an engaging way to test and expand mathematical skills.
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Year 7 8 Middle and Upper Band Year 7 8 Fast Track Year 7 & 8 Middle and Upper Band Year 7 & 8 Fast Track Year 7 8 High Achievers Year 7 & 8 High Achievers Year 9 & 10 Middle and Upper Band Year 9 & 10 Fast Track Year 9 & 10 High Achievers
Year 7 & 8 Middle and Upper Band Year 7 & 8 Middle and Upper Band Partial Magic In a magic square, each row, each column and both main diagonals have the same total. In the partially completed magic square shown, what number should replace x?
Year 7 & 8 Fast track Year 7 & 8 Fast track Packing Boxes Harry, Christine and Betty are packing 36 boxes of chocolates. Harry and Christine would take 2 hours to pack the boxes; Harry and Betty would take 3 hours; Christine and Betty would take 4 hours. How many boxes does Christine pack in one hour?
Year 7 & 8 High Achievers Year 7 & 8 High Achievers Alien Currency The currency used on the planet Zog consists of bank notes of a fixed size differing only in colour. Three green notes and eight blue notes are worth 46 zogs; eight green notes and three blue notes are worth 31 zogs. How many zogs are two green notes and three blue notes worth?
Year 9 & 10 Middle and Upper Band Year 9 & 10 Middle and Upper Band Packing Boxes Harry, Christine and Betty are packing 36 boxes of chocolates. Harry and Christine would take 2 hours to pack the boxes; Harry and Betty would take 3 hours; Christine and Betty would take 4 hours. How many boxes does Christine pack in one hour?
Year 9 & 10 Fast Track Year 9 & 10 Fast Track Alien Currency The currency used on the planet Zog consists of bank notes of a fixed size differing only in colour. Three green notes and eight blue notes are worth 46 zogs; eight green notes and three blue notes are worth 31 zogs. How many zogs are two green notes and three blue notes worth?
Year 9 & 10 High Achievers Year 9 & 10 High Achievers Antifreeze A large container holds 14 litres of a solution that is 25% antifreeze, the remainder being water. How many litres of antifreeze must be added to the container to make a solution that is 30% antifreeze?
