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.