Grade 7 state test practice

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  1. No calculator

    Two polygons are similar. A side of length 5 corresponds to a side of length 15. Another side of the small polygon has length 9. Find the matching side of the large one.
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    yy is proportional to xx. When x=2x = 2, y=10y = 10. Find the constant of proportionality kk in y=kxy = kx.
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    A circle has a diameter of 26 cm. Find its circumference (exact, in terms of π).Not to scale
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    What is 50% of 340?
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    Compute 7+(−16)7 + (-16).
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    Write 7(x−3)7(x - 3) without parentheses. What is the constant term?
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    An angle measures 33∘33^\circ. What is its complement (degrees)?
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    Two fair dice are rolled. Find the probability that the sum is 2.
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    On a map, 1 cm represents 9 km. Two towns are 6 cm apart on the map. How far apart are they in reality (km)?
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    The graph of a proportional relationship passes through (5,40)(5, 40). What is yy when x=1x = 1?
  11. A figure has an area of 10 cm². A scaled copy uses a scale factor of 6. What is the area of the copy (cm²)?
  12. A train travels 21 miles in 3 minutes at a constant speed. How far does it travel in 12 minutes?
  13. Find the area of a circle with radius 3 cm (exact, in terms of π).Not to scale
  14. A 160-dollar jacket's price goes up by 40%. What is the new price (dollars)?
  15. Compute (−6)⋅7(-6) \cdot 7.
  16. Solve 3x+3=−183x + 3 = -18. x=  ?x = \;?
  17. Can three sticks of lengths 8, 9 and 18 cm form a triangle?
    1. No: the two shorter sticks are too short to meet
    2. Yes: any three lengths make a triangle
    3. Only as a right triangle
  18. A fair coin lands heads 7 times in a row. What is the probability of heads on the next toss?
    1. 1/2: the coin has no memory
    2. Less than 1/2: tails is due
    3. More than 1/2: heads is on a streak
  19. A polygon has perimeter 20. It is enlarged by a scale factor of 5. Find the new perimeter.
  20. For x=1,2,3x = 1, 2, 3, which list of yy-values makes a proportional relationship?
    1. 6,12,186, 12, 18
    2. 7,8,97, 8, 9
    3. 6,12,246, 12, 24