Aussie Maths & Science Teachers: Save your time with SmarterEd
Brendan builds a solid object using identical blocks, as pictured below.
The object has 6 faces.
How many blocks did he use?
`48`
`text(Top row)` | `= 8 xx 4` |
`= 32` |
`text(2nd row)` | `= 4 xx 2` |
`= 8` |
`text(3rd row)` | `= 2 xx 4` |
`= 8` |
`:.\ text(Total blocks used)`
`= 32 + 8 + 8`
`= 48`
Archer has blocks with two square faces.
He builds the model below.
What is the height of the model in centimetres?
centimetres |
`12\ text(cm)`
`text(2 × length of block = 18 cm)`
`=>\ text(Length of 1 block = 9 cm)`
`=>\ text(Side length of the square face)`
`= 9 ÷ 3`
`= 3\ text(cm)`
`:.\ text(Height)` | `= 3 xx 4` |
`= 12\ text(cm)` |
How much more water is need to fill the jug to 2 litres?
`text(400 mL)` | `text(500 mL)` | `text(600 mL)` | `text(1500 mL)` |
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`text(500 mL)`
`text(Volume of water in jug)`
`= 1.5\ text(L)`
`:.\ text(Extra water to be added)`
`= 2.0 – 1.5`
`= 0.5\ text(L)`
`= 500\ text(mL)`
Banjo started with 475 millilitres of water in a flask.
After he poured some of the water into a cup, the level of water in the flask is pictured below.
How much water did Banjo pour into the cup?
`text(50 millilitres)` | `text(75 millilitres)` | `text(100 millilitres)` | `text(400 millilitres)` |
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`text(75 millilitres)`
`text(Volume of water poured into the cup)`
`=475 – 400`
`= 75\ text(millilitres)`