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Integers, SM-Bank 037

Jasper is a meteorologist working in Antartica. One of his jobs each week is to upload the daily maximum and minimum temperatures to the Base Camp website.

Jasper has partially completed his log book for this week but will need his additional notes to fill in the missing entries before he can upload them to the website.

Using Jasper's notes below, complete the missing log book entries.  (4 marks)

 Jasper's Additional Notes:

  1. Tuesday's maximum is 3 less than Monday's maximum.
  2. Thursday's temperature range is 12.
  3. Saturday's minimum is 3 times smaller than Wednesday's minimum.
  4. Saturday's maximum is half of Sunday's maximum.
     
    TEMPERATURE LOG BOOK
    \begin{array} {|l|c|c|}
    \hline \textbf{Day} & \textbf{Minimum} &  \textbf{Maximum}  \\
    \hline \text{Monday} & -10°  &  -1° \\
    \hline \text{Tuesday} & -15°  &   \\
    \hline \text{Wednesday} & -7°  &  -2° \\
    \hline \text{Thursday} &   &  -8° \\
    \hline \text{Friday} & -17°  &  -6° \\
    \hline \text{Saturday} &  &   \\
    \hline \text{Sunday} & -19°  &  -4° \\
    \hline \end{array}

Show Answers Only

TEMPERATURE LOG BOOK
\begin{array} {|l|c|c|}
\hline \textbf{Day} & \textbf{Minimum} &  \textbf{Maximum}  \\
\hline \text{Monday} & -10°  &  -1° \\
\hline \text{Tuesday} & -15°  & \colorbox{lightblue}{−4°} \\
\hline \text{Wednesday} & -7°  &  -2° \\
\hline \text{Thursday} &  \colorbox{lightblue}{−20°} &  -8° \\
\hline \text{Friday} & -17°  &  -6° \\
\hline \text{Saturday} & \colorbox{lightblue}{−21°} &  \colorbox{lightblue}{−2°} \\
\hline \text{Sunday} & -19°  &  -4° \\
\hline \end{array}

Show Worked Solution

`1.\   text{Tuesday’s Maximum}\= -1-3 = -4`

`2.\   text{Thursday’s Minimum}\= -8-12 = -20`

`3.\   text{Saturday’s minimum}\= 3 xx -7 = -21`

`4.\   text{Saturday’s maximum}\= -4 ÷ 2 = -2`
  

TEMPERATURE LOG BOOK
\begin{array} {|l|c|c|}
\hline \textbf{Day} & \textbf{Minimum} &  \textbf{Maximum}  \\
\hline \text{Monday} & -10°  &  -1° \\
\hline \text{Tuesday} & -15°  & \colorbox{lightblue}{−4°} \\
\hline \text{Wednesday} & -7°  &  -2° \\
\hline \text{Thursday} &  \colorbox{lightblue}{−20°} &  -8° \\
\hline \text{Friday} & -17°  &  -6° \\
\hline \text{Saturday} & \colorbox{lightblue}{−21°} &  \colorbox{lightblue}{−2°} \\
\hline \text{Sunday} & -19°  &  -4° \\
\hline \end{array}

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)

Show Answers Only

`4213\ text(metres)`

Show Worked Solution
`text(Difference)` `= 4128- (-85)`
  `= 4213\ text(metres)`

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?

  1. `-255`
  2. `-75`
  3. `75`
  4. `255`
Show Answers Only

`D`

Show Worked Solution
`text(Difference)` `= 165 – (-90)`
  `= 255`

`=> D`

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)

Show Answers Only

`54°text(C)`

Show Worked Solution
`text(Temperature difference)` `= 39-(-15)`
  `= 54°text(C)`

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)

Show Answers Only

`-27text(°C)`

Show Worked Solution

`text(Change in temperature) = (25 + 2) = 27text(° decrease)`

`:.\ text(Change in temperature) = -27text(°C)`

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)

Show Answers Only

`\+\17\text(°C)`

Show Worked Solution

`text(Change in temperature) = 5 + 12 = 17\text(°C increase)`

`:.\ text(Change in temperature) = + 17\text(°C)`

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)

Show Answers Only

`-134\ text(metres)`

Show Worked Solution

`134\ text(metres below the platform) = -134\ text(metres)`

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)

Show Answers Only

`5 \-\8 = \-\3`

Show Worked Solution

`text(Pixie enters at level 5 and descends 8 floors, therefore the number sentence is:`

`5 \-\8= \-\3`

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?

  1. 30º C
  2. 18º C
  3. 10º C
  4. `-`15º C
Show Answers Only

`D`

Show Worked Solution

`text(The temperature must be below 0º C for snow to fall.)`
`text(Therefore, the outside temperature would need to be −15ºC.)`

`=> D`