Download Directed numbers revision

Revision – directed numbers unit:
You must complete this work and provide written answers and working out
prior to your test. You will not be able to attempt the test until you complete
this work.
Question 1. Rule up a vertical number line that could be used for a
thermometer to measure temperature in Antarctica. (lowest temperature is –
90 ℃ and maximum 20 ℃. Show each 5 ℃).
Question 2. Work out the following addition/subtraction problems.
(a) 6 – 10 =
(b) - 7 – 5 =
(c) - 57 + 50 =
(d) 5 + + 5 =
(e) - 3 - + 5 =
(f) - 10 - - 8 =
(g) - 6 + (- 6) =
(h) 7 + (6 – 10) =
(i) - 4 – (7 – 11) =
Question 3. Work out the following multiplication problems.
(a) + 4 X + 3 =
(b) - 7 X - 2 =
(d) - 2 X 4 X – 3 =
(e) - 2 X -3 X 4 X -5 =
(c) 100 X – 2 =
(f) -345 X 0 X – 6 =
.
Question 4. Work out the following division problems.
(a) 10 ÷ - 5 =
(b) - 20 ÷ - 4 =
(c) – 30 ÷ 6 ÷ - 5 =
(d) - 200 ÷ -20 ÷ - 1 ÷ 1 =
Question 5. Work out the following ‘order of operation’ problems.
(a) 10 – 11 + 6 – 7 =
(b) 6 + 3 X - 10 =
(c) 56 ÷ - 7 X 2 =
(d) (7 – 10) X 20 ÷ - 5 =
(e) 28 + ( -5 X -7 ) X -1 =
Question 6: The following table lists the heights of mountains and the depths
of trenches in oceans or seas.
Mountain name
Height above sea
level (m)
Ocean/sea trench
location
Mt. William
Mt. Everest
Mt. Aconcagua
Mt. Kilimanjaro
4509
8849
6960
5895
Coral Sea
Pacific ocean
Sea of Japan
Mediterranean
Sea
Depth of trench
below sea level
(m)
9175
11022
3743
4846
(a) Arrange the mountains in order from lowest to highest.
(b) Arrange the trenches in order from shallowest to deepest.
(c) If Mt. William was turned upside down and placed with its base at sea
level, in the trench in the Coral Sea, how far would its peak be from the
bottom of the trench?
(hint: draw a sketch of the problem first)
(d) If Mt. Everest was placed in the Pacific ocean trench where would its
peak be in relation to the surface of the water (distance required).
(e) Rule up a vertical number line (scale 1 cm = 1,000m) on the left hand
side of your number line show where each mountain height would be.
On the right hand side of your number line show where each trench
would be located. (use the data provided in the table above).