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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).