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Maths starters
1. Maths Starters
In small groups attempt to answer
the following brainteaser questions.
2. Brainteaser question
To celebrate the New Year, a principal orders
100 chocolate bars to give to her students.
When the chocolate bars arrive, she realises the
chocolate bars have a special offer. If you hand
in 10 wrappers, you receive a free chocolate
bar!
If everyone in the school saves
their wrappers, how many
chocolate bars can the school get?
3. Brainteaser question
What is the largest number
that can be a clue in Kakuro?
(A Kakuro consists of a grid of boxes, some
empty and some filled. Lines of empty
boxes run across and down. These lines
each have a clue – to the left of horizontal
lines and above vertical ones. The aim is to
write a digit from 1 to 9 in each empty box
following two rules:
1.No two boxes in a line contain the same
digit
2.Adding up all the digits in the line will
equal the clue )
4. Brainteaser question
Tasko the Sea Lion lives at Adelaide Zoo. Recently, he was
very sick, and the zoo’s vets realised he’d been eating
some coins. They removed seven coins, adding up to
$1.10, from Tasko’s belly. Since they removed the money,
Tasko is feeling a lot better.
Can you come up with a set of
seven coins that add up to
$1.10? How many ways are
there to make $1.10 with seven
coins?
5. Brainteaser question
The day before yesterday, George was 12 years
old. Next year, he’ll turn 15. How is this
possible?
6. Brainteaser question
Here are four dots, arranged in a square:
Without lifting your pen, draw three straight
lines, pass through all four dots and finish up
exactly where you started.
8. Brainteaser question
• One day in class, the students were writing
letters. Each student wrote one letter to each
other student in the class. In total, 306 letters
were written. How many students were there
in the class?
9. Brainteaser question
• In a card game, two players are each dealt 26
cards from a deck of 52. Thirteen of the cards
have a club on them.
Which event is more likely:
getting dealt all of the clubs,
or getting none of them?
10. Brainteaser question
If you multiplied the
first 1000 prime
numbers together,
what digit would be in
the ones place (the last
digit of the number)?
11. Math puzzle
• Five people order a square
pizza. The first person
dives in an eats a quarter
of the pizza. The other
four people have to divide
the remaining three-
fourths into four equal and
identically shaped slices.
The cuts must be straight.
How must they cut the
remaining pizza in order to
produce four identical
slices?
Notas del editor
Brainteaser answer100 chocolate bars have 100 wrappers, which can be traded for 10 free bars. The wrappers for the free bars can then be traded for one more free bar (and an extra wrapper). 100 + 10 + 1 = 111 chocolate bars.
Brainteaser answerA line can only have one of each digit, so the biggest sum is:1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
Brainteaser answerThere are five different ways to make $1.10 with seven coins. You can’t use a $1 coin – it’s too big. You can’t use two 50c coins either. With one 50c coin, you can make:50c, 20c, 20c, 5c, 5c, 5c, 5c50c, 20c, 10c, 10c, 10c, 5c, 5c50c, 10c, 10c, 10c, 10c, 10c, 10cWith no 50c coins, you can make:20c, 20c, 20c, 20c, 20c, 5c, 5c20c, 20c, 20c, 20c, 10c, 10c, 10cAnd that’s all the combinations you can make.
Brainteaser answerIt is possible if the date is 1 January, and George’s birthday is on 31 December. Then last year he turned 13, this year he’ll turn 14 and next year he’ll turn 15.
Brainteaser answerThey are in alphabetical order!(Eight, five, four, nine, one, seven, six, ten, three, two, zero.)
Brainteaser answerEach student sends one letter to each person in the class except themselves. If there were 6 people in the class, each would send 5 letters, which makes 6 x 5 = 30 letters in total.306 = 18 x 17, so 18 students each sent 17 letters to make the total.A good place to start with this puzzle would be calculating the square root of 306. Since the number of students and the number of letters that each student sends are very close, it will give you a good estimate of the number of people in the class.
Brainteaser answerIf one player has all the clubs, then the other has none – you can’t have one without the other. So both outcomes are equally likely!
Brainteaser answerThe first and third primes are 2 and 5. If you multiply anything by 2 and 5, it will be divisible by 10, and that means it ends in a 0!