Integers, SM-Bank 027
Integers, SM-Bank 026
Integers, SM-Bank 025 MC
A buoy is in the ocean recording the height of waves passing by.
At sea level it measures 0 metres. It moves above and below sea level.
Which list gives four sea level recordings arranged in order from lowest to highest?
- `0\ text(m), -2\ text(m), 4\ text(m), -4\ text(m)`
- `-2\ text(m), -5\ text(m), 0\ text(m), 1\ text(m)`
- `-5\ text(m), 2\ text(m), -3\ text(m), 0\ text(m)`
- `-5\ text(m), -3\ text(m), 0\ text(m), 2\ text(m)`
Integers, SM-Bank 024
Two numbers added together equal 2.
The two numbers multiplied together equal −24.
What are the two numbers? (2 marks)
Integers, SM-Bank 023
Which symbol `( <, = , >)` makes the number sentence correct? (1 mark)
`2 - (4 + 3)` | |
`3 + 1 - 8` |
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Integers, SM-Bank 022
What is the value of the expression `3 + (-13) - (-6)`? (2 marks)
Integers, SM-Bank 021
Rachel lives in Broome where the temperature on a particular day was 46°C.
Rachel's son lives in Winnipeg, Canada, and on the same day the temperature there was −16°C.
What was the temperature difference between the two towns on this day? (2 marks)
Integers, SM-Bank 020 MC
Which of the following changes is the smallest?
- `-8°text(C to)\ -4°text(C)`
- `-5°text(C to)\ -2°text(C)`
- `-2°text(C to)\ 3°text(C)`
- `3°text(C to)\ 7°text(C)`
Integers, SM-Bank 019
Death Valley is the lowest point in the United States at `-`85 metres, which is below sea level.
King's Peak, also in the United States, is 4128 metres above sea level.
What is the difference, in metres, between Death Valley and King's Peak? (2 marks)
Integers, SM-Bank 018 MC
Dilbert and Smacka were playing a game where they both started with zero points.
Dilbert's final score was 165 points and Smacka's final score was `-90`.
How many more points did Dilbert have than Smacka?
- `-255`
- `-75`
- `75`
- `255`
Integers, SM-Bank 017
Murray lives in Bundaberg, QLD, where the temperature on a particular day was 39°C.
Murray's son lives in Salt Lake City, USA, and on the same day the temperature there was `-`15°C.
What was the temperature difference between the two towns on this day? (2 marks)
Integers, SM-Bank 016 MC
Manou placed an apple pie into his oven.
The 1st measurement of the apple pie's temperature was `-` 4°C.
Twenty minutes later, a second temperature reading was taken, which measured 21°C.
What was the change in temperature between the two measurements?
- decrease of 25°C
- decrease of 17°C
- increase of 25°C
- increase of 17°C
Integers, SM-Bank 015
The temperature at the summit of a large mountain is `-`6°C.
The temperature at the base of the mountain is 32°C warmer than at the summit.
What is the temperature at the base of the mountain? (2 marks)
Integers, SM-Bank 014
Pen wrote the following number sequence.
`4, 2, 0, \-\2, \-\4`
What are the next four numbers in Pen's number sequence? (2 marks)
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Integers, SM Bank 013 MC
Integers, SM-Bank 012
Integers, SM-Bank 011
Integers, SM-Bank 010 MC
Integers, SM-Bank 009 MC
Two arrows point to numbers on a number line.
Which one of these numbers lies between the two arrows?
- `\-\47`
- `\-\25`
- `\-\35`
- `\-\33`
Integers, SM-Bank 008
Ivan left home and turned off the heater.
Before turning off the heater, the temperature in the room was 25°C.
When Ivan arrived home from work that night, the temperature in the room was `\-\`2°C.
What was the change in temperature in the room? Write your answer as a directed number. (2 marks)
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Integers, SM-Bank 007
Karen arrived home and turned on the heater.
Before turning on the heater, the temperature in the room was −5°C.
After fifteen minutes, the temperature in the room was 12°C.
What was the change in temperature in the room? Write your answer as a directed number. (2 marks)
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Integers, SM-Bank 006
The Nevis Bungy in Queenstown is the highest bungee jump in New Zealand.
Jumpers launch downwards from a platform and take just 8.5 seconds to freefall 134 metres before the bungee cord retracts for the first time.
Express the length of the freefall as a directed number. Consider the platform to be at zero length. (1 mark)
Integers, SM-Bank 005
The average temperature at the Mount Everest base camp in Tibet is 17 degrees below zero.
Write this temperature as a directed number. (1 mark)
Integers, SM-Bank 004
Most commercial jet planes gain their cruising altitude of approximately 8000 metres within 10 minutes after take off.
Write this height as a directed number. (1 mark)
Integers, SM-Bank 003
The operating depth of most modern submarines is approximately 375 metres below sea level.
Write this depth as a directed number. (1 mark)
Integers, SM-Bank 002
Pixie enters the elevator in her high rise office building on level 5.
She travels down in the lift for 8 floors.
By considering the floors above ground level to be positive and the floors below ground level to be negative, write and solve a number sentence that gives Pixie's position in the building when she gets out of the elevator. (2 marks)
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Integers, SM-Bank 001 MC
Jerome is on holidays in Thredbo. His family is hoping for a good covering of snow as they are having snowboarding lessons.
Which of the following outside temperatures would produce the snow they need?
- 30º C
- 18º C
- 10º C
- `-`15º C
Data Analysis, SM-Bank 042
The following data represents the ages of people on a riverboat cruise in Europe.
28, 35, 39, 39, 28, 34, 40, 43, 51, 34, 35, 39, 40, 46, 60
- Organise the data into an ordered stem-and-leaf plot. (2 marks)
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- What is the median of the ages? (1 mark)
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- What is the modal age of the travellers? (1 mark)
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- Is this age data skewed or symmetrical? (1 mark)
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Data Analysis, SM-Bank 041 MC
Which of the following terms best describes this distribution?
- Positively skewed
- Negatively skewed
- Symmetrical
- None of the above
Data Analysis, SM-Bank 040 MC
Which of the following terms best describes this distribution?
- Positively skewed
- Negatively skewed
- Symmetrical
- None of the above
Data Analysis, SM-Bank 039 MC
Which of the following terms best describes this distribution?
- Positively skewed
- Negatively skewed
- Symmetrical
- None of the above
Data Analysis, SM-Bank 038
Jason recorded the following marks out of 100 in his last 8 class tests.
74, 65, 70, 72, 95, 68, 70, 64
- Which one of his marks is an outlier? (1 mark)
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- If the outlier is removed, by how many marks does the mean change? (2 marks)
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- Explain why it would be more appropriate to use the median rather than the mean when including the outlier in Jason's marks. (2 marks)
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Data Analysis, SM_Bank 037
For the following set of data, state any outliers. (1 mark)
3, 5, 7, 7, 9, 10, 18
Data Analysis, SM-Bank 036
The ages of boys competing in an inter-school futsal competition are shown in the frequency distribution table below.
\begin{array} {|c|c|}
\hline \textbf{Age (years)} & \textbf{Frequency} \\
\hline 13 & 4 \\
\hline 14 & 6 \\
\hline 15 & 11\\
\hline 16 & 6\\
\hline 17 & 3\\
\hline \end{array}
- How many boys took part in the competition? (1 mark)
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- Calculate the mean age of the competitors, correct to the nearest whole number. (2 marks)
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- State the median age of the competitors? (2 marks)
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Data Analysis, SM-Bank 035
A data set has a range of 50 and a mean of 20.
Give an example of a dataset using 4 numbers that satisfies this condition. (2 marks)
Data Analysis, SM-Bank 034
Give an example of a data set with a mode of 9 and a mean of 10. (1 mark)
Data Analysis SM-Bank 033 MC
Which of the following terms best describes this distribution?
- Uniform
- Multimodal
- Unimodal
- Bimodal
Data Analysis, SM-Bank 032 MC
Which of the following terms best describes this distribution?
- Unimodal
- Multimodal
- Bimodal
- Uniform
Data Analysis, SM-Bank 031 MC
Which of the following terms best describes this distribution?
- Unimodal
- Multimodal
- Bimodal
- Uniform
Data Analysis SM-Bank 030 MC
Which of the following terms best describes this distribution?
- Unimodal
- Multimodal
- Bimodal
- Uniform
Data Analysis, SM-Bank 029
The local nursery is selling advanced orange trees. The heights of the trees are displayed in the dot plot below.
What is the mean height of these trees? (2 marks)
Data Analysis, SM-Bank 028
Find the range for this set of scores. (1 mark)
`74, \ 89, \ 65, \ 64, \ 87, \ 88, \ 68, \ 74, \ 72`
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Data Analysis, SM-Bank 027
Find the median for this set of scores. (1 mark)
`56, \ 56, \ 59, \ 60, \ 63 \ 64, \ 70, \ 71, \ 72`
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Data Analysis, SM-Bank 026
Find the mode for this set of scores. (1 mark)
`12, \ 15, \ 18, \ 12, \ 17, \ 19, \ 10, \ 11, \ 12, \ 15`
Data Analysis, SM-Bank 025
A shop sells children's shoes in sizes from 5 to 9. The sizes of the last 100 shoes sold is shown in the table below.
\begin{array} {|l|c|c|c|c|c|c|}
\hline \textbf{Shoe Size} & 5 & 6 & 7 & 8 & 9 \\
\hline \textbf{Frequency} & 14 & 21 & 30 & 23 & 12 \\
\hline \end{array}
- What is the median shoe size? (1 mark)
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- What is the mean shoe size? Give your answer correct to the nearest whole number. (2 marks)
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- What is the range of shoe sizes? (1 mark)
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- What is the modal shoe size? (1 mark)
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- Briefly explain why the shop owner would be particularly interested in the modal shoe size? (2 marks)
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Data Analysis, SM-Bank 023
Justify why adding a score of 15 to the set of scores below will not change the mode of 7. (2 marks)
`4, \ 5, \ 7, \ 7, \ 7, \ 10, \ 10, \ 11, \ 12, \ 15`
Data Analysis, SM-Bank 024
Brendan scored the following marks in 4 class tests.
`15, \ 16, \ 16, \ 17 `
Explain the effect on his mean mark if he received a mark of 11 in his final class test.
Justify your answer with calculations. (2 marks)
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Data Analysis, SM-Bank 022
Write down a set of six data values that has a range of 10, a mode of 10 and a minimum value of 10. (2 marks)
Data Analysis, SM-Bank 021 MC
A survey asked 9 students in Year 8 how many siblings they had.
\begin{array} {|c|c|}\hline \textbf{Number of Siblings} & 0, 2, 2, 2, 3, 4, 4, 5, 5\\ \hline \end{array}
Which of the following is true for this data?
- mean > median > mode
- mean > median < mode
- mean = median = mode
- mean = median > mode
Data Analysis, SM-Bank 020
An AFL team has 10 players with the following heights in centimetres.
`180, \ 175, \ 163, \ 192, \ 200, \ 193, \ 195, \ 195, \ 188, \ 195`
What is the range of heights? (1 mark)
Data Analysis, SM-Bank 019
A vet measured the length of 21 dogs that came through his clinic.
The vet recorded the length of each dog.
- What is the median length? (1 mark)
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- The vet measured and recorded a new dog with a length of 41 centimetres. What is the new median length? (1 mark)
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Data Analysis, SM-Bank 018
Data Analysis, SM-Bank 017
Data Analysis, SM-Bank 016
Data Analysis, SM-Bank 015
Data Analysis, SM-Bank 014 MC
The Stars and the Thunder are playing cricket in a 20 over competition.
The stem-and-leaf plots show the number of runs each side has scored in their last 15 games.
Which statement is true about the data.
- The Stars had the lowest run score.
- The Stars scored over 135 runs more times than the Thunder.
- The median score for The Stars is higher than the median score for The Thunder.
- The range of scores for The Stars is smaller than the range of scores for The Thunder.
Data Analysis, SM-Bank 013
Curly measures the position of glaciers in the Antarctic.
His measurements showed that in 1 full year, a glacier moved 88 cm.
On average, how many centimetres did the glacier move per day? (2 marks)
Data Analysis, SM-Bank 012 MC
In Wadonga, there are 29 538 people.
Each day, the average person uses 168 litres of water.
Which of these gives the best estimate for the total number of litres of water used in Wadonga each day?
- `30\ 000 xx 200`
- `30\ 000 xx 100`
- `30\ 000 ÷ 200`
- `30\ 000 ÷ 100`
Data Analysis, SM-Bank 011 MC
Five students throw the javelin at their athletics carnival and the length of their throws, to the nearest metre, are recorded in the table below.
If Monica's distance is removed from the data, what happens to the mean distance that is thrown from this group?
- It increases.
- It decreases.
- It stays the same.
- It is impossible to tell from the information given.