Diagnostic Assessment

1. Bananas cost $1.50 per kg. You have $4.25, what weight of bananas can you buy?

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.

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) 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 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 very easy. I can do this question.
B) This is a harder question. I have seen this type of 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) I have never seen this type of question. I cannot do this question.

4. What is this expression's value when n = 5?

A) This is easy to do. I have seen this type of question.
B) This is a harder question. 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 very easy. I can do this question.

5. What is the slope (gradient) of the line that is perpendicular to the following line?

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 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.

6. Solve this equation.

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 very easy. I can do this 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.

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) 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) I have never seen this type of question. I cannot do this question.

8. What is the value of the unknown angle?

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 easy to do. 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.

9. Where is the point (coordinate) that these two lines meet?

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.

10. Solve this equation.

11. Where is the point (coordinate) of intersection of the following two lines?

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) 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) 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 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.

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 easy to do. I have seen this type of question.
B) This is a harder question. 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.

14. Use analysis (a formula) to calculate the length of RQ.

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 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.

15. Where is the vertex and the x-intercepts of this parabola?

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.

16. Fully simplify this expression.

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.

17. What is the equation of the quadratic relation whose x-intercepts are at (-6, 0) and (14, 0) that passes through (-1, -84)?

18. A "factored" expression will have the form: x² + 11x + 30 = (x + 6)(x + 5). Factor the expression, 3y² - 21y - 24.

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) 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 harder question. I have seen this type of question.

19. Solve the equation, 2x² + 5x - 14, using the given formula.

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) This is easy to do. I have seen this type of question.
E) I have never seen this type of question. I cannot do this question.

20. Use right-angled trigonometry to calculate the length of QS in this right angled triangle.

21. Use trigonometry to complete this application question.

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 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.

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) 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.

23. Use cosine law to calculate the unknown side of this non-right triangle.

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 very easy. I can do this question.
E) This is a very hard question. I have seen this type of 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 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.

25. If f(x) = 2x - 3, what is f^-1(x)?

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) 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 easy to do. I have seen this type of question.

26. Determine the domain and range for the following function.

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 easy to do. I have seen this type of question.
E) This is a harder question. I have seen this type of question.

27. Simplify the following expression; state any restrictions on the variable.

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 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 very easy. I can do this question.

28. Based on the given description, calculate the temperature of the coffee after 48 minutes.

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 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.

29. Prove the following trigonometric identity.

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) 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 harder question. I have seen this type of question.

30. Based on the given description, what is the angle of sunset on February 15?

A) This is a harder question. 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 very easy. I can do this question.
E) This is easy to do. I have seen this type of question.

31. Expand and simplify:

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.

32. Determine the sum of the first 25 terms of an arithmetic series in which t₁ = 91 and t₂₅ = 374

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) 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 a very hard question. I have seen this type of question.

Учні, які виконували цей тест також виконали :

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