C L - LXV · You, the future math whiz, start by giving your friend a calculator. Then, you issue...
Transcript of C L - LXV · You, the future math whiz, start by giving your friend a calculator. Then, you issue...
Blockhouse Bay Intermediate Summer Maths Challenge 2019/2020
Make your summer mathematical! Complete the following daily challenges yourself with the following problems with a family member. Return your completed answer sheet to the office by Friday 7 February. A teacher will be available to help you in the school library on 21 and 28 January from 10am-12pm.
December 2019/ January 2020
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
15
Jeff, Tom and Rob all refused to
be weighed at the same time.
Jeff and Tom together weigh
156kg. Tom and Rob weigh
165kg, and Jeff and Rob weigh
161kg. How much does each of
them weigh?
16
17
A log is cut into 4 pieces
in 12 seconds. How long
would it take to cut the
same log into 5 pieces?
18
19
I am a three-digit
number. My tens digit is
six more than my ones
digit. My hundreds digit
is eight less than my
tens digit. What number
am I?
20
Put the numbers 1,2,3,4,5,6,7
in the circles so that each
straight line of three numbers
adds up to the same total
21 Can you solve this!
22
Six cards are lying on the table in the
order: 6, 2, 1, 4, 5, 3 as shown in the
top row of the picture. They need to be
placed in the order shown in the bottom
row. In each move, any two cards may be
switched. What is the least number of
moves that need to be made?
23
24
Alvin spent half as much as
Lorie did on holiday presents
this year and Chris spent three
times more than Alvin did. The
total spent between the three of
them was $720. How much
money did each person spend?
25
Take a closer look at the
following figure… How many
triangles can you find. I’ve
counted 35, can you find them
all?
26
My birthday is on the
6th of January. What
will the date be 50 days
after?
27
Cleopatra, queen pharaoh of
Egypt acceded to the throne in
March 51 BC.
She was pharaoh for just over
21 years, and died in the month
of August.
In which year did Cleopatra die?
28
Write this Roman
numeral in digits:
MMXX
29
Barbara likes to add the digits showing
the current time on her electronic watch.
For example, when the watch shows
21:17, she gets the number 11 as the
result (2+1+1+7=11). What is the
greatest sum she can get?
(Note: use "24 hour clock" time: where
1 PM is 13:00, up to 11:59 PM which
is 23:59)
30
I am an odd number.
Take away one letter and
I become even. What
number am I?
31
Start with number 1000 then add 20.
Now add 1000 one more time.
Now add 30.
Now add 1000 one more time.
Now add 40.
Now add 1000 one more time.
Now add 10.
What is the total?
Jan 1
Solve this Roman
numeral equation:
CL - LXV
2
What number is halfway
between 12-20?
3
200 is divided by 7.
What is the remainder?
4
3 different prime
numbers add up to 40.
What are they?
5 Solve what each image represents!
6
What’s the
NZ GST %?
7 Make a paper dart.
Mark out a starting place.
Throw your paper dart. Measure
the distance it flew.
On a table, record the distance.
Do this ten times.
What was the furthest distance
flown?
What was the shortest distance
flown?
8. Three Light Bulbs
There are three light switches up in the
attic of an old house...They control three
light bulbs down in the basement. The
problem is that you don't know which
switch is connected to which bulb. You
can make one trip down to the basement
to figure this out. How are you going to
do it?
9 Solve what each image represents!
10 One of the numbers from
1-6 is removed and the
mean of the remaining
numbers is 3.6. Which
number was removed?
11
What is the greatest
number you can make by
multiplying a pair of
whole numbers that sum
to 20?
12
In the magic square, all rows,
columns and the 2 diagonals add up
to 111. Work out the missing
numbers. Each number you use can
only be used once.
13
14
This pyramid stack has a base
which has 7 x 7 cannon balls.
How many cannon balls are in
the stack?
15
Put the numbers
1,2,3,4,5,6,7,8,9 in the
bubbles so that each edge adds
up to the same total.
16
Sketch an octagon.
Draw in all of its diagonals.
How many diagonals has it got?
17
Sart to polish your basic facts
ahead of the new school year.
Watch
https://tinyurl.com/basicfact
Ask a parent or caregiver to
sign your answer sheet to show
you have done this.
18 How much is it?
$79.99
19 Birthday Math Trick
You, the future math whiz, start by
giving your friend a calculator. Then, you
issue the following sequence of
instructions. Make sure your friend
presses the equals button (=) after
each step!
Enter the number 7
Multiply by the month of your birthday
Subtract 1
Multiply by 13
Add the day of your birth
Add 3
Multiply by 11
Subtract the month of your birth
Subtract the day of your birth
Divide by 10
Add 11
Divide by 100
20
21
Move 2 twigs to make 7 squares and
draw it on the bottom:
22 The Fox, the Chicken and the Corn
You have a boat and need to
take a fox, a chicken and some
corn across a river.
The boat will only hold you and
one other thing.
If you leave the chicken alone
with the corn, the chicken will
eat the corn.
If you leave the fox alone with
the chicken, the chicken's in big
trouble.
How can you get them all across
in the least amount of trips
possible?
23
Choose a biscuit or cake recipe
and bake a batch of cookies or a
cake.
Ask a parent or caregiver to
sign your answer sheet to show
you have done this.
24
25 Complete this sudoku!
The numbers 1,2,3,4 can only
appear once in each quadrant,
vertically and horizontally.