Maths challenges
- 1. Maths Challenges • Year 7 and 8 • Years 9,10,11 – 21st September – 21st September – 28th September – 28th September – 5th October – 5th October – 12th October – 12th October – 19th October – 19th October – 9th November – 9th November – 16th November – 16th November – 30th November – 30th November – 7th December – 7th December
- 3. The building company Baffle Batty have built a new cinema that has exactly 100 seats. Show how it is possible to sell exactly 100 tickets and make exactly £100 if the prices are: Adults £10 Children 10p Pensioners 50p
- 4. A zoo contains only birds and rabbits. There are sixteen heads and thirty-eight feet. How many birds are there in the cage?
- 5. Pairs of identical rectangular strips, each measuring 3 by 1, are overlapped in a number of different ways to form three different shapes, shown in the diagram below. Which shape has the greatest perimeter?
- 6. A boy writes down the numbers from 1 to 20 in order and he notes that he has actually written down thirty-one digits in total. If his list went from 1 to 1000 how many digits would he have written down? If one-thousand digits were written down in total, how many complete numbers would have been written down?
- 7. Two sand timers have been designed to measure 9 minutes and 13 minutes respectively. How would you use them to measure 30 minutes?
- 8. 187 What number should replace the symbol? 190 211
- 10. Answer
- 11. How can I get the answer 24 by only using the numbers 8,8,3,3. You can use add, subtract, multiply, divide, and brackets. ALL the numbers must be used. (Using square or cube roots may help) Answers
- 12. Across Down 1. Three times 19 down 1. 12 across divided by eleven 4. 19 down minus five 2. 1 down plus twenty-five 6. 15 across plus eighty-three 3. Minutes in three days 7. 17 across minus 2 4. Dozen in twelve gross 8. 18 down plus thirty-eight 5. Seconds in five minutes 10. 19 across minus sixty-six 9. 17 down minus eleven 12. 3 down plus forty-seven 10. 11 down minus eight 14. 12 across doubled 11. Minutes in three hours 15. 13 down minus 150 13. 3 down divided by twelve 17. 20 down minus sixteen 16. 23 across doubled 19. 5 down minus 133 17. 14 across divided by eleven 21. Minutes in four hours 18. 4 down times three 22. Four times 4 across 19. Months in nine years 23. Five times 10 down 20. 3 down divided by six Click here for the answer
- 13. A car and a motorcycle set off from the same point to travel the same journey. The car has a start of four minutes before the motorcycle sets off. If the car travels at 80km/h and the motorcycle travels at 90km/h, how many kilometres will be travelled when the two vehicles are level?
- 14. Show Answer
- 15. Use any numbers between 1 and 10 to fill the spaces. The rows, columns and diagonals must add up to the totals shown. Numbers can be repeated. Show Answer
- 16. A 15 N 9 B 20 O 4 C 7 P 10 D 1 Q 17 E 12 R 23 F 24 S 13 G 21 Show Answer 25 T H 14 U 3 I 6 V 16 J 19 W 11 K 2 X 22 L 8 Y 26 M 18 Z 5
- 17. This is a Nurikabe puzzle. The aim is to find out which squares should be shaded and which should be unshaded. The numbers show how many squares are unshaded in the group that the number is present. The can be in any arrangement but cannot be connect diagonally. Eventually all shaded squares must be connected. A more complete set of rules can Show Answer be found here.
- 18. Father Christmas is delivering cards to houses numbered 1 to 100. The price for each card is the same as the house number so, for example, house number 9 requires 9p in stamps, house number 38 needs 38p worth of stamps and of course, house number 39 needs 39p. Unfortunately, Buddy the elf has run out of all the stamps except for 3p and 5p. Which house numbers will get cards and which won't?
- 19. Frugal Wrapping What is the minimum amount of wrapping paper needed to wrap this box? 5cm What about overlaps for sticking? 10cm How much ribbon do you need? 20cm