Tuesday 30 August 2022

DMIC Maths 2022. Term 1.

  Measurement: Mass, volume, and capacity

For Maia’s birthday party her family ordered small bottles of mixed soft drinks. Each bottle contained635ml of drink. They bought 60 bottles but only 47 bottles were used. How much in liters and milliliters was used? How much in liters and milliliters was left?

This weekend our church had a special children’s celebration for White Sunday. TJ and his friends had to mix the orange juice for lunch. He had two recipes for mixing the orange juice. They were told to make the none with the most orange taste because most children preferred that. Recipe 1: Mix 2l orange to 3l water Recipe 2: Mix 3l orange to 5l water Which recipe did they use?



Ta’ase is sending a parcel to her family overseas. She needs a box with a volume of 10 000 cm3. Find the volume of the boxes to see if they are big enough.


Given global warming and Covid-19, schools need air conditioners with air filters that match the classroom's volume. What is the volume of your classroom? As part of your explanation, draw a representation to use to explain and justify your solution.


Find two containers that have the same capacity, and will hold more than a liter but are of different shapes. Prove that they have the same or almost the same capacity. Record the capacity of each container using mL and l. Make sure that you explain and justify your reasoning using a range of representations I including a number line.



Number and Algebra


Moana is playing Monopoly with her friends. She had $235 in monopoly money. After she had bought two properties, she had only $119 in monopoly money left. How much did she spend to buy the two properties?


Moana is playing Monopoly with her friends. She had $1327 in monopoly money. After she had bought five properties, she had only $158 in monopoly money left. How much did she spend to buy the five properties?



Mere and Hurae are playing the Game of Life. Hurae wins the golden lottery and now has $7442. Before he won the golden lottery, he had $2789. How much money did he win?


Mere and Hurae are playing the Game of Life. Hurae wins the golden lottery and now has $5432. Before he won the golden lottery, he had $4785. How much money did he win?

Junior’s mum needs to order tipani flowers to make ‘ei katu for his sister’s wedding. There are 19 people at the bridal party and each ‘ei katu needs 26 tipani flowers. How many flowers will Junior’s mum need to order?

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