GOTM Math Grade 8 Placement
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1. Calculate 3189^2-3188^2
3 points
65% of the flight time, an airplane is at an altitude that exceeds 10,000 meters. 40% of the remaining flight time it is at an altitude below 10,000 meters. How much percent of the total flight time does it fly above 10,000 meters?
3 points
Clear selection
2. Terry and Yannick are working on an electoral campaign. Terry covers 36 houses door-to-door in 4 hours. Yannick covers 40 houses in 5 hours. How many hours does it take them to cover 34 houses if they work independently?
3 points
3. If we add the reciprocal of x to the reciprocal of 18, the result is the reciprocal of 17. Find x.
3 points
4. A sequence starts with the numbers: 4, 7, 10, 13, ... and continues according to the same pattern. Which is the next smallest number in the sequence that ends with a digit of 0?
3 points
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5. A line has slope -3 and intersects a line with slope 2 at point (4, 4). What is the distance between the y-intercepts of the two lines?
3 points
Clear selection
6. The line y=2x-5 is reflected across the line y=4 . The reflected line is reflected again across the line y=2. The line obtained last and the original line:
3 points
Clear selection
7. A circle with diameter 8 in is tangent to a circle with diameter 12 in. How far apart can their centers be? (Check all that apply.)
6 points
8. The mean of 6 positive whole numbers is 8. Their median is 10. The mode of the set is 12. What is the largest number of values of 12 in the set?
3 points
9. If a-b=b-3=9, find the value of a.
3 points
10. If line D is perpendicular to the line y=-4x+3 and line L is perpendicular to line D, the slope of line L is:
3 points
Clear selection
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