Aussie Maths & Science Teachers: Save your time with SmarterEd
Josh used six identical triangular tiles to form a regular hexagon.
Each tile has an area of 4.8 cm².
Josh then adds more tiles to make a hexagon with double the side length of this hexagon.
What will be the area of this larger hexagon?
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| `9.6\ text(cm²)` | `28.8\ text(cm²)` | `57.6\ text(cm²)` | `115.2\ text(cm²)` |
`ABCD` is a square.
What is the value of `x`?
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The table shows the lengths and widths of rectangles with an area of 15 cm2.
Which graph shows the information in the table for length against width?
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`text(Mapping the given coordinates:)`
A tiler uses identical triangular tiles to completely tile a square bench top.
The tile is like this one. 
Altogether, how many triangular tiles are used?
`:. 20\ text(tiles are used)`
The area of the rectangle in the diagram below is 15 cm2.
What is the area of the trapezium `ABCD`?
| cm2 |
`text{Opposite sides of rectangles are equal}`
`text(Triangles at bottom are congruent with the)`
`text{triangles the at top (RHS).}`
`text(Rearranging the diagram:)`
`:.\ text(Area of trapezium)`
`= 2 xx 15`
`= 30\ text(cm)^2`
Michelle is tiling a walkway that is 5.6 metres long.
She is using cement tiles that are 0.08 metres wide.
There are no gaps between the tiles.
How should Michelle calculate how many cement tiles she will need?
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`5.6 ÷ 0.08` |
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`0.08 ÷ 5.6` |
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`5.6 xx 0.08` |
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`5.6 - 0.08` |
Kate owns a farm with a square paddock. She increases the area of the paddock by changing it into the shape of trapezium.
What is the area of the new paddock, in square metres?
| square metres |
Cecil is designing a rectangular garden bed for growing vegetables in his yard.
He wants the garden bed to be at least 60 square metres.
He has dug out two sides, each 12.7 metres in length.
What is the smallest possible length of each of the other two sides, rounded to one decimal place?
| `text(4 metres)` | `text(4.7 metres)` | `text(4.8 metres)` | `text(5 metres)` |
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A resort has 4 pools.
Which pool has the largest surface area?
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The area of the shaded rectangle below is 84 cm².
What is the length of the shaded rectangle?
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A rectangle has an area of 1 square metre.
It has a length of 1222 millimetres.
What is its width to the nearest millimetre?
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The rhombus below has a side length of 8 cm.
Which equation must be true?
| `xy = 80` | `10x = 8y` | `2xy = 40` | `5x = 10y` |
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A square field has an area of 8000 m².
The length of one side is between
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`40 - 44\ text(m)` |
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`80 - 84\ text(m)` |
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`85 - 90\ text(m)` |
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`400 - 404\ text(m)` |
A tiler is tiling a wall that is 90 cm wide and 160 cm high.
He uses triangular tiles that are drawn below.
The tiler uses all of his tiles and has no gaps between them.
How many tiles does he need?
| `200` | `300` | `450` | `600` |
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A trapezium is constructed on a grid of 10 rectangles.
Each rectangle measures 3 cm × 5 cm.
What is the area of the trapezium?
| `85\ text(cm²)` | `95\ text(cm²)` | `105\ text(cm²)` | `125\ text(cm²)` |
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| `text(Area)` | `= 1/2 h (a + b)` |
| `= 1/2 xx 10 xx (6 + 15)` | |
| `= 105\ text(cm²)` |
Sam moves into a new rectangular office that measures 4.5 m × 3 m.
He decides to cover the floor with square carpet tiles.
How many boxes of carpet tiles does Sam need to order?
David's backyard is in shape of a rectangle and has an area of 50 m².
Tim's backyard is also rectangular but with side lengths that are double those of David's backyard.
What is the area of Tim's backyard.
| `25\ text(m²)` | `100\ text(m²)` | `200\ text(m²)` | `300\ text(m²)` |
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Which one of the following triangles has an area of 64 cm² ?
(Triangles are not drawn to scale)
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| `text(Area)` | `= 1/2 b h` |
| `= 1/2 xx 8 xx 16` | |
| `= 64` |
A cement slab is laid in Bob's backyard that forms a 9 m × 3 m rectangle.
Bob is going to tile around the edge of his slab using one row of 300 mm × 300 mm tiles.
He will use 50% black tiles costing $8 per tile and 50% white tiles costing $5 per tile.
What is the total cost of the tiles he used?
| $ |
Leigh has a picnic blanket with an area of 5 square metres.
What is the area of her picnic blanket in square centimetres?
| `25\ text(cm²)` | `50\ text(cm²)` | `500\ text(cm²)` | `50\ 000\ text(cm²)` | `250\ 000\ text(cm²)` |
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A plan of Zev's backyard is shown.
Zev wants to fertilise the lawn in his backyard and needs to know the total area.
What is the total area of Zev's lawn, in square metres?
| m² |
| `text(Area)` | `=\ text(square + triangle)` |
| `= (4 xx 4) + (1/2 xx 4 xx 5)` | |
| `= 16 + 10` | |
| `= 26\ text(m²)` |