Aussie Maths & Science Teachers: Save your time with SmarterEd
Flynn is making a pattern with soccer balls.
This table shows the number of balls he needs for each shape in the pattern.
| Pattern # | 1 | 2 | 3 | 4 | 5 | |
| Number of balls | 1 | 4 | 9 | 16 | ? |
How many balls will Flynn need for Pattern #5?
| `17` | `23` | `25` | `30` |
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`text(Pattern #5 is)`
`:. 25\ text(balls needed for Pattern #5.)`
A stack of 4 cups is 16 cm tall.
A stack of 7 cups is 25 cm tall.
Which rule can be used to work out the height, in centimetres, of a stack of `n` cups?
| `7n - 24` | `7n - 12` | `3n + 4` | `3n + 7` |
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Identical sticks are used to make this pattern of hexagons.
In this pattern the rule for the number of sticks is
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5 × number of hexagons + 1 |
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6 × number of hexagons − 1 |
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5 × number of hexagons |
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6 × number of hexagons |
Bill creates a pattern of branches and nodes on a computer.
Bill continued the pattern until the shape had 3279 branches.
How many nodes did the shape have?
Tim produced a pattern with large squares and small triangles.
If Tim continues this pattern how many small triangles will be in the 12th shape?
| `6` | `12` | `26` | `30` |
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Billy is setting up tables for a comedy night at his club.
An X is placed for every available seat at a table, as shown below.
Which of these rules can be used to work out how many people can sit on any row of tables?
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`text(number of tables) xx 6` |
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`text(number of tables) ÷ 2 - 2` |
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`text(number of tables) xx 4 + 2` |
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`text(number of tables) xx 4 - 2` |
Leo creates a pattern of triangles using sticks as shown below.
The number of sticks in the first four figures are 1, 3, 6 and 10.
What is the number of sticks needed for Figure 5?
| `14` | `15` | `17` | `21` |
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Choon designs a line of tiles that repeats 5 different tiles in the same order, as shown below.
Each tile costs $11.50 and Choon uses $322 worth of tiles.
Which of these is the last tile in his line of tiles?
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`text(Total number of tiles used)`
`=322/11.50`
`=28`
`:.\ text(5 rows of 5 are used and the last tile is the 3rd)`
`text(in the pattern.)`
David makes the following pattern of figures using sticks.
How many sticks will Figure 6 require?
| `30` | `32` | `34` | `37` |
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Angela stacks up identical cups.
A stack of 3 cups is 21 cm high.
A stack of 6 cups is 30 cm high.
What height will a stack of 10 similar cups be?
| `70\ text(cm)` | `54\ text(cm)` | `50\ text(cm)` | `42\ text(cm)` |
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Anthony is tiling his bathroom.
He follows this pattern to make a line of tiles that is 90 cm long.
How many tiles are in this line?
Peter uses matchsticks to make a pattern of shapes, as shown in the table below.
The equation used to show the relationship between `S` and `N` is
| `S = N + 5` | `S = 5N` | `S = 5N + 1` | `S = 7N - 1` |
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Renee created a shape using equilateral triangles and squares.
She begins by using a triangle with side length 1 cm.
She then adds a square, then another triangle, then a square etc... until she has 5 triangles and 5 squares.
What will the perimeter of the whole shape be?
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Mike uses match sticks to make a pattern of houses.
When a shape consists of 7 houses, how many sticks will the shape have?