MATHS
Basic Facts
Please practise basic facts at home on a daily basis.
If you are looking for more learning, please look under useful links.
Math 17 February
By drawing a diagram, calculate how many posts were used.
Would you rather?
Have a good think about this problem and motivate why you made your choice.
16 February 2021
Remember to give all activities a go. The first activity is all about graphs showing relationships. Remember to create a google doc and save your work in the Math folder on your drive. Your answers can be on one page. Remember to show your workings where possible.
15 February 2021
For today, you can browse and do any of the activities from 2020. Save the information in a google doc in your math folder on your drive.
You may also do Mathletics and Basic Facts. We will arrange a time to go live!
Math
friday 28 August
Clue
Use the existing numbers and see if you can get to the answer.
Do today's questions on a google doc, save it in your math folder and share it with your teacher.
Math
thursday 27 August
Math
Wednesday 26 August
Math
Tuesday 25 August
Math - monday 24 August
Math - friday 21 August
Math - Thursday 20 August
Both sides are equal
Rounding Numbers
Remember, when we round numbers to the nearest 10, the number will always have a zero on the end (the units place value). If the number on the end is a 5, 6, 7, 8 or a 9, we round up to the next ten. If the number on the end is a 1, 2, 3, or a 4, we round down to the previous ten.
splitting numbers
In the example on the right, 49 x 7 = 49 groups of 7.
So if I work out 40 groups of 7 and then add 9 groups of 7, I will have 49 groups of 7.
Therefore, 40 groups of 7 = 40 x 7 = 10 x 4 x 7 = 10 x 28 = 280
and 9 groups of 7 = 9 x 7 = 63
When I add 280 and 63 = 280 + 63 = 280 + 20 + 43 = 300 + 43 = 343
This is just one way of adding the two numbers.
Now do the problems on the right.
Math - Wednesday 19 August
Can you use a strategy to make this activity easier?
Choose an appropriate strategy to solve problems a and b.
Remember, when you order numbers, we always start from the left and then consider the place values.
Math - Tuesday 18 August
1.
Remember, when the temperature rises, it get warmer and when it falls, it gets colder.
A thermometer is like a vertical number line.
2. Remember,
1 m = 100 cm 1 m = 1000 mm
1 cm = 10 mm
Math - Monday 17 August Measurement
1. A rectangle with a width of 3 m has a perimeter of 24 m. Find the length of this rectangle?
If the perimeter of a rectangle is 24 m, what could the width and the length of the rectangle be if we use whole numbers? (Show possible outcomes)
2.
.
Make use of a drawing to help you solve the problem.
3. The length of a rectangular swimming pool is exactly three times as long as its width. If the pool has a perimeter of 240 m, find the width of the pool.
Extension
Do you see a pattern when you look at the number of squares and the number of toothpicks needed to make each square? Can you perhaps write this pattern as a rule?
Math - Thursday 14 May
Math - Wednesday 13 May
Prime Numbers
Numbers that only have two factors (1 and itself and they are different) are called Prime Numbers. Remember, factors of a number are numbers that can divide into that number without a remainder.
The number 7 only has two factors, 1 and 7. The number 5 only has two factors, 1 and 5. These numbers are called prime numbers.
Write all the prime number between 10 and 30.
What is the smallest prime number?
Mother's Day Card
Niko and Kaia buy their mother a card for Mothers’ Day.
The card costs $5.90. Niko puts in 40c more than Kaia.
How much do they each contribute to the card?
Math - Monday 11 May
1. The Problem
Dr Martin the chemist is weighing out some pills. He has some 5g weights and some 7g weights. Can he weigh exactly 38g of pills? Show your workings.
Extension to the problem
Can the chemist weigh out 52g? Can this be done in more than one way?
Show your workings.
2. Factors of a Number
Factors of a number are numbers that can divide into that number without a remainder.
The number 8 can be divided by 1, 2, 4, and 8 without leaving a remainder.
Therefore, we say that the factors of 8 are 1, 2, 4 and 8 and we write it as F8 = 1, 2, 4, 8
What would the factors of 20 be?
F20 = ?
What are F7 = ?
Math - Friday 8 May
1. Play the strategy game "take two".
Place five counters in a row.
With a partner take turns, removing one or two counters each turn.
The person to remove the last counter is the winner.
Can you find a game strategy so that the first player always win? What if we have 7 counters or more?
Is this a fair game? [In a fair game, each player has an equal chance of winning.]
2. What are the next 3 numbers?
1, 3, 6, 10, ___, ___, ___
Is there a special name for these numbers in this sequence?
3. Fast Food
Sally, George, and Frank were picking up their fast-food orders — a burger, a plate of fries, and a slice of pizza. "Who ordered what?" asked the man at the counter. George said, "I didn't order the pizza." The boy who ordered the fries said, "Oh, I thought you did." That was all the man at the counter needed to know. Who got each order?
Sally: George:
Frank:
Math - Thursday 7 May
1.Mia and Hunter call a cab. The taxi driver charges $1 flagfall when they get in the car.
The charge is then $2 for each kilometre they travel.
They have $23 between them.
How far can they travel?
Flagfall is an expression for a fixed start fee.
What will the answer be if you solve 34 x 6 in the same way?
3. What are the next 3 numbers?
1, 1, 2, 3, 5, 8, ___, ___, ___
Math - 6 May
1.Number Bubble
Put the numbers in the bubbles so that each edge adds up to the same thing.
1, 2, 3, 4, 5, 6, 7, 8, 9
2.What 3 numbers come next?
1, 4, 9, 16, ___, ___, ___
3.How Old?
There are four children in Marie's family.
She is less than 11 years old and is the oldest.
There's a two year age difference to twins, Grace and Lily, who come next.
Tom, who is older than 5 is two years younger than the twins.
How old are each of the children?
Math - 5 May
1.A Penny Piece
Divide the circle into sections by drawing three straight lines so that there is only one penny in each section.
2.Cat down the well
A cat is at the bottom of a 20 metre well.
Each day, he climbs up 5 metres...
And each night, he slides down 4 metres.
How many days will it take him to reach the top of the well? (Make a drawing to assist you)
3.What 2 numbers come next?
1, 2, 4, 8, ___, ___
Math - 4 May
Can you rearrange these squares so that each row and each column has exactly one of each colour and exactly one of each shape? (For example, you cannot have two red squares in a row... and you cannot have two triangles in a column.)
2. Five mice — Mindy, Marty, Muriel, Mabel, and Mike were nibbling the cheese on the kitchen table, but Whiskers the cat chased them back into their hole. Muriel Mouse made it back third, and Mike Mouse was fourth. Mabel Mouse was after Mike, and Marty Mouse was not second. Which mouse was first, and which was last?
1st: 5th:
3. What number comes next?
1, 3, 6, 10, 15, 21, ___
Math - 1 May
Using the numbers 1 – 9, create your own square of 9 circles and put a different number in each circle. Arrange the numbers so that the sums of the three numbers on each side are:
Easy:
all different sums
all the same sums
More challenging: Remember, an odd + odd = even, even + even = even, odd + even = odd.
all even sums
all odd sums
What is the biggest and smallest side sums that you can make?
Extension:
Arrange numbers so that all the rows and columns have the same sum. How many ways can you do this?
Math - 30 April
The Problem
Mary has a $5 note. She exchanges it with her brother Sam for some coins worth $5.
Can she exchange it for 6 coins?
What is the largest number of coins that Sam can have given Mary?
Extension to the problem
Can Mary exchange the $5 for 10 coins? If so, how?
Math - 29 April 2020
Data Handling - Do the activity below. To do the activity you have to record each number on a piece of paper after you have rolled a die. You could draw a similar grid like the one on the left below. After you have recorded the 30 attempts, use a tally table like the one on the right below and complete the tallies. At this stage you might be able to come to a conclusion. If you are able to, draw a bar graph to represent your data. Once you have completed the activity try to explain your answer. You can also ask your parents to assist you with your answer. Take a photo of your work and share it with us. If you can do it digitally, have a go at it.
