Aussie Maths & Science Teachers: Save your time with SmarterEd
A popular video game attracts 3 subscribers in its first week.
It then attracts twice as many subscribers each week as it did the previous week.
If no subscribers leave, the total number of subscribers at the end of any week is
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always odd. |
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always even. |
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sometimes odd and sometimes even. |
Sabre is saving to buy a new skateboard.
After one week she has saved $11.
She then saves the same amount of money each week.
\begin{array} {|l|c|c|c|c|}
\hline
\rule{0pt}{2.5ex}\ \text{Week}\ \rule[-1ex]{0pt}{0pt} & 1 &\ \ 2\ \ &\ \ 3 \ &\ \ 4\ \ &\ \ 5\ \ \\
\hline
\rule{0pt}{2.5ex} \ \text{Total amount saved}\ \rule[-1ex]{0pt}{0pt} & $11 & $18 & $25 & $32 & $39\\
\hline
\end{array}
How much money will Sabre have saved by the end of week 10?
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Jack Newton holds a junior golf tournament every two years.
It was first held in 1987.
Kirsty attends the tournament as a spectator whenever she can.
In which two of the following years could Kirsty have attended the tournament?
| `2012` | `2013` | `2014` | `2015` |
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Ethan writes the sequence:
`7, \ 0.7, \ 0.07, \ 0.007, …`
Describe the rule he uses to write the next number in this sequence.
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`text(add 6.3)` |
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`text(subtract 6.3)` |
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`text(multiply by 0.01)` |
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`text(divide by 0.1)` |
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`text(multiply by 10)` |
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`text(divide by 10)` |
A school teacher allocates pieces of cardboard to class groups depending on the number of students in each group.
The table below is used.
Using the pattern in the table, how many pieces of cardboard should a group of 3 students receive?
The table shows the height of the grid on new tyres after being driven different distances.
The tyres will be replaced when the grid is 11 mm high.
How many kilometres do the tyres need to be driven to be worn down to a 11 mm high grid?
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Oliver makes the following number pattern.
`4, \ 6, \ 10, \ 18, \ ?`
This is the rule for the number pattern:
next number = previous number × n – n
where n represents the same value.
What is the next number in Oliver's pattern?
| `26` | `30` | `31` | `34` | `36` |
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The rules of a number game are shown in the flowchart below.
The output number is 21.
What are two possible values for the input number?
| `7 and 16` | `16 and 63` | `7 and 26` | `26 and 63` |
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Barry drives a barge that transports sand.
The table below shows the volume of sand, measured in cubic metres, of different sand masses, measured in tonnes.
Barry's barge has 84 cubic metres of sand loaded on it.
How many tonnes of sand are on his barge?
| `56\ text(tonnes)` | `58\ text(tonnes)` | `126\ text(tonnes)` | `136\ text(tonnes)` |
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This chart shows the longest run, in kilometres, that Deek ran each week over 5 weeks.
\begin{array} {|l|c|c|c|c|c|}
\hline \textbf{Week} & 1 & 2 & 3 & 4 & 5\\
\hline \textbf{Longest run (km)} & 8 & 11 & 14 & 17 & 20\\
\hline \end{array}
If the pattern continues, in which week is Deek's longest run 29 km?
| `7` | `8` | `9` | `10` |
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A plumber calculates the price of a job using a service fee and an amount per hour.
This table shows some of the job prices.
How are the jobs calculated?
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$60 service fee + $35 per hour |
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$60 service fee + $70 per hour |
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$58 service fee + $72 per hour |
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$58 service fee + $36 per hour |
Charlie swam 250 lengths of a 50 metre pool in 5 days.
After the first day, he swam 5 more laps each day than the day before.
How many laps did he swim on the first day?
| `35` | `40` | `45` | `50` |
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Leonardo used this rule to make a number pattern.
Start with 2.
To get the next number add 5 and then double.
The first four numbers in his pattern were 2, 14, 38, 86.
What was the sixth number in his pattern?
| `182` | `192` | `292` | `374` |
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Which of these patterns fits the rule, "Double the previous number and add 4"?
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`3, 4, 5, 6, 9, …` |
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`2, 8, 14, 20, 26, …` |
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`3, 6, 12, 24, 48, …` |
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`2, 8, 20, 44, 92, …` |
The table below has a pattern. The top and bottom numbers are connected by a rule.
What is the top number when the bottom number is 28?
| `5` | `7` | `12` | `17` |
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Tim is going on a golfing trip.
He wants to purchase balls before the trip, which are sold in boxes of a dozen.
The more boxes of balls that Tim buys, the less it costs per box, as shown in the table below.
If this price pattern continues, how much will it cost for 7 boxes of balls?
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Kate is enrolled in an intensive summer swimming program.
Her swimming program is shown in the table below.
Which statement about Kate's plan is true?
Kate's plan is to swim:
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`text(30 laps more than the previous day.)` |
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`text(20 laps more than the previous day.)` |
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`text(1.5 times more laps than the previous day.)` |
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`text(10 times more laps than the previous day.)` |
Byron counts the number of guinea pigs in his breeding yard every 2 months.
He records the number in the table below.
If this pattern continues, how many guinea pigs will be in his breeding yard after 8 months?
The first number in a pattern is 3.8.
Each number in the pattern is formed by subtracting 0.35 from the previous number.
What is the third number in this pattern?
| `2.75` | `3.1` | `3.45` | `4.5` |
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At an apple orchard, apples are picked and put in a basket.
The table below shows the total number of apples in the basket after each minute.
\begin{array} {|c|c|c|}
\hline \textbf{Minutes} & \textbf{Total number of apples} \\
\hline 1 & 4 \\
\hline 2 & 8 \\
\hline 3 & 12 \\
\hline 4 & 16 \\
\hline \end{array}
How many apples are in the basket after 10 minutes?
| `20` | `30` | `35` | `40` |
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