Grade 10 state test practice

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The whole practice set for paper. Answers are at the end, shown only if you ask for them.

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  1. No calculator

    A phone plan costs 37 dollars a month plus 15 cents per text. Maya wants a model for her monthly bill. Which is the best definition of the variable?
    1. Let n be the number of texts Maya sends in one month
    2. Let n be texts
    3. Let n be the cost of one text
  2. No calculator

    Solve 3x+3=−183x + 3 = -18. x=  ?x = \;?
  3. No calculator

    A survey asked 145 people whether they exercise weekly. Under 30: 22 yes, 43 no. Age 30 or over: 27 yes, 53 no. What proportion of the under-30s exercise weekly?
  4. No calculator

    f(x)=2x2+3f(x) = 2x^2 + 3. Find f(−3)f(-3).
  5. No calculator

    A table gives x=0,1,2,3x = 0, 1, 2, 3 and y=4,12,36,108y = 4, 12, 36, 108. What kind of relationship is it?
    1. Exponential: yy is multiplied by 3 at each step
    2. Linear: yy goes up by 8 at each step
    3. Neither
  6. No calculator

    A tile pattern has 6, 9, 14 and 21 tiles in steps 1 to 4 (a square of tiles plus 5 extra). How many tiles are in step 10?
  7. No calculator

    Solve x2=100x^2 = 100. Enter all solutions.
  8. No calculator

    Put the steps for constructing the perpendicular bisector of a segment AB of length 7 cm in order.
    • With the compass point on A, draw an arc with a radius of more than half of AB
    • Keep the same opening; with the point on B, draw an arc that crosses the first one twice
    • Label the two crossing points P and Q
    • Draw the line through P and Q with the straightedge
  9. No calculator

    △ABC≅△DEF\triangle ABC \cong \triangle DEF with AB=3AB = 3, BC=11BC = 11 and CA=18CA = 18. Find DEDE.
  10. A distribution of incomes has mean 54 thousand dollars and median 43 thousand dollars. What is its most likely shape?
    1. Skewed right: a long tail of high values pulls the mean up
    2. Skewed left
    3. Symmetric
  11. How many inches are in 5 feet? (1 foot = 12 inches)
  12. Solve 7x+9y=237x + 9y = 23 for yy. y=  ?y = \;?
  13. Of 40 drivers who texted, 30 had a near-miss; of 40 who did not text, 10 had one. Is there an association between texting and near-misses in these data?
    1. Yes: 75% of texters vs 25% of non-texters had a near-miss
    2. No: both groups have 40 drivers
    3. Yes, and it proves texting causes near-misses
  14. Find the average rate of change of f(x)=3x2f(x) = 3x^2 from x=0x = 0 to x=6x = 6.
  15. An arithmetic sequence has a1=14a_1 = 14 and common difference 2. Find a43a_{ 43 }.
  16. Expand (x+6)(x+9)(x + 6)(x + 9). What is the coefficient of xx?
  17. Solve x(x−3)=0x(x - 3) = 0. Enter all solutions.
  18. Translate the point A(−4,−4)A(-4, -4) by 2 units right and 1 units down. Tap its image A′A'.
  19. Two triangles have two pairs of equal sides (3 cm and 5 cm) and the angles between those sides equal. Which criterion shows they are congruent?
    1. SAS
    2. SSA
    3. AAA
  20. Dilate A(3,1)A(3, 1) about the origin with scale factor 2. Tap its image.