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Diagnostic Assessment
Contributed by: Moore
  • 1. Bananas cost $1.50 per kg. You have $4.25, what weight of bananas can you buy?
A) This is very easy. I can do this question.
B) This is a very hard question. I have seen this type of question.
C) I have never seen this type of question. I cannot do this question.
D) This is a harder question. I have seen this type of question.
E) This is easy to do. I have seen this type of question.
  • 2. Calculate the value of "b" for the right triangle below.
A) This is a harder question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is very easy. I can do this question.
D) This is easy to do. I have seen this type of question.
E) This is a very hard question. I have seen this type of question.
  • 3. Simplify this expression.
A) This is a very hard question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is very easy. I can do this question.
D) This is easy to do. I have seen this type of question.
E) This is a harder question. I have seen this type of question.
  • 4. What is this expression's value when n = 5?
A) This is a very hard question. I have seen this type of question.
B) This is a harder question. I have seen this type of question.
C) I have never seen this type of question. I cannot do this question.
D) This is very easy. I can do this question.
E) This is easy to do. I have seen this type of question.
  • 5. What is the slope (gradient) of the line that is perpendicular to the following line?
A) This is easy to do. I have seen this type of question.
B) This is a very hard question. I have seen this type of question.
C) This is a harder question. I have seen this type of question.
D) This is very easy. I can do this question.
E) I have never seen this type of question. I cannot do this question.
  • 6. Solve this equation.
A) I have never seen this type of question. I cannot do this question.
B) This is easy to do. I have seen this type of question.
C) This is a harder question. I have seen this type of question.
D) This is very easy. I can do this question.
E) This is a very hard question. I have seen this type of question.
  • 7. The formula for the surface area of a cone is A = πrs. The formula for the volume of a cone is V = πr²h ÷ 3. What is the surface area and the volume of this cone?
A) This is a very hard question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is very easy. I can do this question.
D) This is a harder question. I have seen this type of question.
E) This is easy to do. I have seen this type of question.
  • 8. What is the value of the unknown angle?
A) I have never seen this type of question. I cannot do this question.
B) This is very easy. I can do this question.
C) This is a very hard question. I have seen this type of question.
D) This is a harder question. I have seen this type of question.
E) This is easy to do. I have seen this type of question.
  • 9. Where is the point (coordinate) that these two lines meet?
A) This is a harder question. I have seen this type of question.
B) This is very easy. I can do this question.
C) This is a very hard question. I have seen this type of question.
D) I have never seen this type of question. I cannot do this question.
E) This is easy to do. I have seen this type of question.
  • 10. Solve this equation.
A) I have never seen this type of question. I cannot do this question.
B) This is easy to do. I have seen this type of question.
C) This is a very hard question. I have seen this type of question.
D) This is very easy. I can do this question.
E) This is a harder question. I have seen this type of question.
  • 11. Where is the point (coordinate) of intersection of the following two lines?
A) This is a harder question. I have seen this type of question.
B) This is easy to do. I have seen this type of question.
C) This is a very hard question. I have seen this type of question.
D) This is very easy. I can do this question.
E) I have never seen this type of question. I cannot do this question.
  • 12. What is the slope (gradient) of the line that connects the two points: (-5, -11) and (7, 15)?
A) This is very easy. I can do this question.
B) This is a harder question. I have seen this type of question.
C) This is easy to do. I have seen this type of question.
D) I have never seen this type of question. I cannot do this question.
E) This is a very hard question. I have seen this type of question.
  • 13. What is the equation of the line that is perpendicular (at a 90° angle) to 2x - 5y = -20 and passes through (8,-20)?
A) This is a very hard question. I have seen this type of question.
B) This is easy to do. I have seen this type of question.
C) This is a harder question. I have seen this type of question.
D) I have never seen this type of question. I cannot do this question.
E) This is very easy. I can do this question.
  • 14. Use analysis (a formula) to calculate the length of RQ.
A) This is a very hard question. I have seen this type of question.
B) This is easy to do. I have seen this type of question.
C) This is a harder question. I have seen this type of question.
D) I have never seen this type of question. I cannot do this question.
E) This is very easy. I can do this question.
  • 15. Where is the vertex and the x-intercepts of this parabola?
A) This is easy to do. I have seen this type of question.
B) This is a very hard question. I have seen this type of question.
C) I have never seen this type of question. I cannot do this question.
D) This is a harder question. I have seen this type of question.
E) This is very easy. I can do this question.
  • 16. Fully simplify this expression.
A) This is a harder question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is easy to do. I have seen this type of question.
D) This is very easy. I can do this question.
E) This is a very hard question. I have seen this type of question.
  • 17. What is the equation of the quadratic relation whose x-intercepts are at (-6, 0) and (14, 0) that passes through (-1, -84)?
A) This is very easy. I can do this question.
B) This is easy to do. I have seen this type of question.
C) This is a very hard question. I have seen this type of question.
D) I have never seen this type of question. I cannot do this question.
E) This is a harder question. I have seen this type of question.
  • 18. A "factored" expression will have the form: x2 + 11x + 30 = (x + 6)(x + 5). Factor the expression, 3y2 - 21y - 24.
A) I have never seen this type of question. I cannot do this question.
B) This is easy to do. I have seen this type of question.
C) This is very easy. I can do this question.
D) This is a harder question. I have seen this type of question.
E) This is a very hard question. I have seen this type of question.
  • 19. Solve the equation, 2x2 + 5x - 14, using the given formula.
A) This is easy to do. I have seen this type of question.
B) This is very easy. I can do this question.
C) I have never seen this type of question. I cannot do this question.
D) This is a very hard question. I have seen this type of question.
E) This is a harder question. I have seen this type of question.
  • 20. Use right-angled trigonometry to calculate the length of QS in this right angled triangle.
A) This is very easy. I can do this question.
B) This is easy to do. I have seen this type of question.
C) I have never seen this type of question. I cannot do this question.
D) This is a very hard question. I have seen this type of question.
E) This is a harder question. I have seen this type of question.
  • 21. Use trigonometry to complete this application question.
A) This is a very hard question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is a harder question. I have seen this type of question.
D) This is very easy. I can do this question.
E) This is easy to do. I have seen this type of question.
  • 22. Use sine law to calculate the unknown angle in this diagram.
A) This is a very hard question. I have seen this type of question.
B) This is easy to do. I have seen this type of question.
C) This is a harder question. I have seen this type of question.
D) I have never seen this type of question. I cannot do this question.
E) This is very easy. I can do this question.
  • 23. Use cosine law to calculate the unknown side of this non-right triangle.
A) This is a harder question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is easy to do. I have seen this type of question.
D) This is a very hard question. I have seen this type of question.
E) This is very easy. I can do this question.
  • 24. Given the function, g(x) = 2(x - 5)2 - 9, what is the value of g(-3)?
A) This is a harder question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is a very hard question. I have seen this type of question.
D) This is easy to do. I have seen this type of question.
E) This is very easy. I can do this question.
  • 25. If f(x) = 2x - 3, what is f-1(x)?
A) This is easy to do. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is a harder question. I have seen this type of question.
D) This is a very hard question. I have seen this type of question.
E) This is very easy. I can do this question.
  • 26. Determine the domain and range for the following function.
A) This is a harder question. I have seen this type of question.
B) This is easy to do. I have seen this type of question.
C) I have never seen this type of question. I cannot do this question.
D) This is a very hard question. I have seen this type of question.
E) This is very easy. I can do this question.
  • 27. Simplify the following expression; state any restrictions on the variable.
A) I have never seen this type of question. I cannot do this question.
B) This is easy to do. I have seen this type of question.
C) This is a harder question. I have seen this type of question.
D) This is a very hard question. I have seen this type of question.
E) This is very easy. I can do this question.
  • 28. Based on the given description, calculate the temperature of the coffee after 48 minutes.
A) This is a very hard question. I have seen this type of question.
B) This is very easy. I can do this question.
C) I have never seen this type of question. I cannot do this question.
D) This is a harder question. I have seen this type of question.
E) This is easy to do. I have seen this type of question.
  • 29. Prove the following trigonometric identity.
A) I have never seen this type of question. I cannot do this question.
B) This is a very hard question. I have seen this type of question.
C) This is easy to do. I have seen this type of question.
D) This is a harder question. I have seen this type of question.
E) This is very easy. I can do this question.
  • 30. Based on the given description, what is the angle of sunset on February 15?
A) This is a very hard question. I have seen this type of question.
B) I have never seen this type of question. I cannot do this question.
C) This is a harder question. I have seen this type of question.
D) This is easy to do. I have seen this type of question.
E) This is very easy. I can do this question.
  • 31. Expand and simplify:
A) This is very easy. I can do this question.
B) I have never seen this type of question. I cannot do this question.
C) This is a harder question. I have seen this type of question.
D) This is easy to do. I have seen this type of question.
E) This is a very hard question. I have seen this type of question.
  • 32. Determine the sum of the first 25 terms of an arithmetic series in which t1 = 91 and t25 = 374
A) I have never seen this type of question. I cannot do this question.
B) This is a harder question. I have seen this type of question.
C) This is easy to do. I have seen this type of question.
D) This is very easy. I can do this question.
E) This is a very hard question. I have seen this type of question.
  • 33. Eden borrows $2611.03 to buy a TV by making monthly payments of $106.17 for 2½ years. What annual interest rate, compounded monthly, is she being charged?
A) This is very easy. I can do this question.
B) This is easy to do. I have seen this type of question.
C) I have never seen this type of question. I cannot do this question.
D) This is a harder question. I have seen this type of question.
E) This is a very hard question. I have seen this type of question.
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