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
2.
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
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?
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
