Diagnostic Test
Diagnostic math test is a comprehensive assessment that evaluates a student’s current level of math proficiency. Designed to identify areas of strength and weakness, it provides valuable insights that can guide targeted instruction and personalized learning plans. This test is an essential tool for determining a student’s math level and understanding their readiness for more advanced math topics. The test is typically comprised of a range of math problems and exercises, covering fundamental concepts such as arithmetic, algebra, geometry, and more advanced topics such as calculus and statistics. With its ability to provide a precise assessment of a student’s math abilities, a diagnostic math test is a powerful tool for educators and learners alike. By identifying areas that need improvement and building on areas of strength, students can gain the confidence and skills needed to succeed in their math education and beyond.
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You have reached 0 of 0 point(s), (0)
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0 Essay(s) Pending (Possible Point(s): 0)
Categories
 Absolute value equations and inequalities 0%
 Circles 0%
 Complex numbers 0%
 Coordinate geometry 0%
 Data analysis I 0%
 Data analysis II 0%
 Factors and divisibility and zeros of a function 0%
 Isolation 0%
 Linear functions 0%
 Log 0%
 Percentages and ratios 0%
 Plane geometry 0%
 Probability 0%
 Quadratic equations 0%
 Quadratic functions 0%
 Simple Equations and Simplify Expression 0%
 Solid geometry 0%
 System of equations 0%
 System of inequalities 0%
 Trigonometry 0%

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Question 1 of 74
1. Question
Category: Simple Equations and Simplify Expression\(
\begin{aligned}
&\text { If } 2 x+3 y=8+3 y \\
&\text { then } x=\ldots \ldots .
\end{aligned}
\)CorrectIncorrect 
Question 2 of 74
2. Question
Category: Simple Equations and Simplify Expression\(
\begin{aligned}
&\text { If } 2 x+3 a=8 \\
&\text { then } 4 x+6 a+5=\ldots \ldots
\end{aligned}
\)CorrectIncorrect 
Question 3 of 74
3. Question
Category: System of equations\(
\begin{aligned}
&\text { If } \begin{array}{c}
2 x+3 y=7 \\
4 x+3 y=23 \\
\text { then } x+y=\ldots \ldots
\end{array}
\end{aligned}
\)CorrectIncorrect 
Question 4 of 74
4. Question
Category: System of equations\(
\begin{aligned}
&\text { If } \begin{array}{c}
2 x+3 y=8 \\
x+ y=3 \\
\text { then } y=\ldots \ldots
\end{array}
\end{aligned}
\)CorrectIncorrect 
Question 5 of 74
5. Question
Category: Simple Equations and Simplify Expression\(
\frac{3}{x2}+\frac{4}{2(x2)}=\ldots \ldots
\)CorrectIncorrect 
Question 6 of 74
6. Question
Category: Simple Equations and Simplify Expression\(
\begin{aligned}
&\text { If the equations } 3 x+2 y=11\\
&\text { and } k x+8 y=3
\end{aligned}
\)\(
\text { have no solution, find } k
\)CorrectIncorrect 
Question 7 of 74
7. Question
Category: System of equations\(
\text { If the system of equations }
\)\(
\begin{aligned}
&a x+b y=12 \\
&3 x+4 y=5
\end{aligned}
\)\(
\text { has infinitely many solutions, find } \frac{a}{b}
\)CorrectIncorrect 
Question 8 of 74
8. Question
Category: Quadratic equations\(
\text { If }
\)\(
(2 x+3)(a x+b)=8 x^{2}+c x+6
\)\(
\text { then } c=\ldots \ldots
\)CorrectIncorrect 
Question 9 of 74
9. Question
Category: Quadratic equations\(
\text { If }(x+c)(x+b)=x^{2}+m x+6
\)\(
\text { then } m \text { is equal to }
\)\(
\text { (} b, c \text { are two positive numbers)…. }
\)CorrectIncorrect 
Question 10 of 74
10. Question
Category: Isolation\(
\begin{aligned}
&\text { If } \frac{x+y}{zy}=w \\
&\text { then } x=\ldots \ldots .
\end{aligned}
\)CorrectIncorrect 
Question 11 of 74
11. Question
Category: Isolation\(
\begin{aligned}
&\text { If } \frac{a+b}{c+d}=\frac{a}{d} \\
&\text { then } a=\ldots .
\end{aligned}
\)CorrectIncorrect 
Question 12 of 74
12. Question
Category: Quadratic equations\(
\text { Which of the following are }
\)\(
\text { the values of } x \text { in the equation : }
\)\(
x^{2}8 x20=0 ?
\)CorrectIncorrect 
Question 13 of 74
13. Question
Category: Quadratic equations\(
\text { Which of the following are }
\)\(
\text { the values of } x \text { it }
\)\(
x^{2}3 x2=0 ?
\)CorrectIncorrect 
Question 14 of 74
14. Question
Category: Quadratic equations\(
\text { If } x^{2}6 x+7=0
\)\(
\text { then the solution }
\)\(
\text { of the equation is …. }
\)CorrectIncorrect 
Question 15 of 74
15. Question
Category: Quadratic equations\(
\text { If } k, l \text { are the two solutions }
\)\(
\text { of the equation }
\)\(
2 x^{2}8 x+13=0
\)\(
\text { then } k+l=\ldots
\)CorrectIncorrect 
Question 16 of 74
16. Question
Category: Quadratic equations\(
\text { If the equation } x^{2}8 x+k=0
\)\(
\text { has two equal solutions, find } k
\)CorrectIncorrect 
Question 17 of 74
17. Question
Category: Absolute value equations and inequalities\(
\begin{aligned}
&\text { If }x5=3 \\
&\text { then } x=\ldots \ldots .
\end{aligned}
\)CorrectIncorrect 
Question 18 of 74
18. Question
Category: Absolute value equations and inequalitiesCorrectIncorrect 
Question 19 of 74
19. Question
Category: Absolute value equations and inequalities\(
\text { If the accepted length of produced }
\)\(
\text { item lies between } 3.2 \text { and } 3.6 \text {, }
\)\(
\text { which of the following is a suitable }
\)\(
\text { inequality to represent the accepted }
\)\(
\text { length? }
\)CorrectIncorrect 
Question 20 of 74
20. Question
Category: System of inequalities\(
\text {The solution of the inequality }
\)\(
2 x+y \geq 3 \text { doesn’t contain }
\)\(
\text {any points from the …. quad}
\)CorrectIncorrect 
Question 21 of 74
21. Question
Category: System of inequalities\(
\text {The solution of the system of}
\)\(
\text {inequalities}
\)\(
\begin{aligned}
&y \geq 2 x+1 \\
&x+2 y \geq 3
\end{aligned}
\)\(
\text {lies completely in the ….. quad. }
\)CorrectIncorrect 
Question 22 of 74
22. Question
Category: Linear functions\(
\text { If } f(x)=3 x+8, f(m)=50 \text {, find } m
\)CorrectIncorrect 
Question 23 of 74
23. Question
Category: Linear functions\(
\text { If } f(x) \text { is a linear function }
\)\(
f(3)=8, f(5)=11
\)\(
\text { then } f(7)=\ldots
\)CorrectIncorrect 
Question 24 of 74
24. Question
Category: Linear functions\(
\begin{aligned}
&\text { If } f(x)=2 x+3, g(x)=3 x1 \\
&\text { then } f(g(2))=\ldots \ldots .
\end{aligned}
\)CorrectIncorrect 
Question 25 of 74
25. Question
Category: Quadratic functions\(
\text { Which of the following represent }
\)\(
\text { the form of the quadratic function }
\)\(
\text { representing its vertex }
\)\(
\text { as a constant or coefficient? }
\)CorrectIncorrect 
Question 26 of 74
26. Question
Category: Quadratic functions\(
\text {What is the vertex of the function }
\)\(
y=(x3)(x5) ?
\)CorrectIncorrect 
Question 27 of 74
27. Question
Category: Quadratic functions\(
\text { What is the minimum value of }
\)\(
\text { the function } f(x)=x^{2}8 x+30 ?
\)CorrectIncorrect 
Question 28 of 74
28. Question
Category: Quadratic functions\(
\text { If the height in meters of a projected}
\)\(
\text { body at any time } t^{\prime \prime} \text { seconds}
\)\(
\text { given by }h=2 t^{2}+18 t+44
\)\(
\text { then the time needed to reach}
\)\(
\text { the ground is …… seconds. }
\)CorrectIncorrect 
Question 29 of 74
29. Question
Category: Factors and divisibility and zeros of a function\(
\text { If } x3 \text { is a factor of the function }
\)\(
f(x)=x^{3}x^{2}4 x+b
\)\(
\text { what is } b \text { ? }
\)CorrectIncorrect 
Question 30 of 74
30. Question
Category: Factors and divisibility and zeros of a function\(
\text { If } g(x) \text { is a function, } g(3)=11
\)\(
\text { which of the following is true? }
\)CorrectIncorrect 
Question 31 of 74
31. Question
Category: Factors and divisibility and zeros of a functionCorrectIncorrect 
Question 32 of 74
32. Question
Category: Factors and divisibility and zeros of a functionCorrectIncorrect 
Question 33 of 74
33. Question
Category: Factors and divisibility and zeros of a function\(
\begin{aligned}
&\text { If } \frac{x^{2}3 x+8}{x2}=a x+b+\frac{c}{x2}\\
&\text { then } a, b, c \text { are: }
\end{aligned}
\)CorrectIncorrect 
Question 34 of 74
34. Question
Category: Coordinate geometry\(
\text {Which of the following is }
\)\(
\text {the slope of the line whose equation}
\)\(
\text{is }3 x4 y=11 ?
\)CorrectIncorrect 
Question 35 of 74
35. Question
Category: Coordinate geometry\(
\text { Which of the following is }
\)\(
\text { the equation of the line which passes }
\)\(
\text { through }(1,3) \text { and }(1,8) ?
\)CorrectIncorrect 
Question 36 of 74
36. Question
Category: Coordinate geometry\(
\text {Which of the following}
\)\(
\text {is the equation}
\)\(
\text {of a line passes through the point }
\)\(
(2,3)
\) \(
\text {and is perpendicular to the line }
\)\(
\text {whose equation is } 2 x+3 y=8 ?
\)CorrectIncorrect 
Question 37 of 74
37. Question
Category: Coordinate geometry\(
\text { If } A B C D \text { is a square where }
\)\(
\text { the coordinates of } A \text { are }(3,7)
\)\(
\text { and } B \text { are }(3,12) \text {, }
\)\(
\text { what is the area of the square? }
\)CorrectIncorrect 
Question 38 of 74
38. Question
Category: Coordinate geometryCorrectIncorrect 
Question 39 of 74
39. Question
Category: Plane geometryCorrectIncorrect 
Question 40 of 74
40. Question
Category: Plane geometry\(
\text { The length of a rectangle is } 8 \text { inches }
\)\(
\text { and its perimeter is } 20 \text { inches, }
\)\(
\text { then its area is …. square inches }
\)CorrectIncorrect 
Question 41 of 74
41. Question
Category: Plane geometry\(
\text { In } \Delta A B C
\)\(
\text { if } A B=8 \mathrm{~cm}, B C=5 \mathrm{~cm}
\)\(
\text { which of the following }
\)\(
\text { could be the length of } A C \text { ? }
\)CorrectIncorrect 
Question 42 of 74
42. Question
Category: Plane geometryCorrectIncorrect 
Question 43 of 74
43. Question
Category: Plane geometry\(
\text {A square whose area is } 32 \text { square}
\)\(
\text {inches so its diagonal length is}
\)\(
\text {….. inches}
\)CorrectIncorrect 
Question 44 of 74
44. Question
Category: Plane geometryCorrectIncorrect 
Question 45 of 74
45. Question
Category: Plane geometryCorrectIncorrect 
Question 46 of 74
46. Question
Category: Solid geometry\(
\text {A rectangular box of dimensions }
\)\(
3,4,12 \mathrm{~cm} \text { its diagonal length}
\)\(
\text {is …. } \mathrm{cm}
\)CorrectIncorrect 
Question 47 of 74
47. Question
Category: Solid geometry\(
\text { A cylinder with radius } 8 \mathrm{~cm}
\)\(
\text { and height } 5 \mathrm{~cm} \text {, so its volume}
\)\(
\text { is } \ldots \mathrm{cm}^{3}
\)CorrectIncorrect 
Question 48 of 74
48. Question
Category: CirclesCorrectIncorrect 
Question 49 of 74
49. Question
Category: Circles\(
\text { Which of the following is equation}
\)\(
\text { of the circle whose center is }(3,4)
\)\(
\text { and its radius is 7 untis?}
\)CorrectIncorrect 
Question 50 of 74
50. Question
Category: Circles\(
\text {Which of the following is }
\)\(
\text {the radius of the circle }
\)\(
x^{2}+y^{2}2 x8 y+1=0 ?
\)CorrectIncorrect 
Question 51 of 74
51. Question
Category: Circles\(
\text {What is the area of the circle whose}
\)\(
\text {equation is: }
\)\(
2 x^{2}+2 y^{2}4 x+20 y+8=0 ?
\)CorrectIncorrect 
Question 52 of 74
52. Question
Category: Trigonometry\(
\text { If } \sin A=\frac{3}{5}, \text { then } \tan A=\ldots
\)CorrectIncorrect 
Question 53 of 74
53. Question
Category: Trigonometry\(
\text { If } \sin 2 x=\cos x \text {, then } x=\ldots
\)CorrectIncorrect 
Question 54 of 74
54. Question
Category: TrigonometryCorrectIncorrect 
Question 55 of 74
55. Question
Category: Complex numbers\(
2 i+3 i^{2}+4 i^{3}=\ldots \ldots
\)CorrectIncorrect 
Question 56 of 74
56. Question
Category: Complex numbers\(
\sqrt{25}+\sqrt{36}=\ldots \ldots
\)CorrectIncorrect 
Question 57 of 74
57. Question
Category: Complex numbers\(
\text { If } a2 i+3 b i=4+10 i
\)\(
\text { then } a, b \text { are } \ldots
\)CorrectIncorrect 
Question 58 of 74
58. Question
Category: Complex numbers\(
\text { If } \frac{26}{2+3 i}=a+b i
\)\(
\text { then } a, b \text { are } \ldots
\)CorrectIncorrect 
Question 59 of 74
59. Question
Category: Percentages and ratios\(
\text { What is } 30 \% \text { of } 42 \text { ? }
\)CorrectIncorrect 
Question 60 of 74
60. Question
Category: Percentages and ratios\(
\text { If the score of a student in the } 1^{s t}
\)\(
\text { exam was } 80 \text {, what is the score in }
\)\(
\text { the } 2^{n d} \text { exam if it was }20 \%
\)\(
\text { more than the } 1^{\text {st }} \text { one? }
\)CorrectIncorrect 
Question 61 of 74
61. Question
Category: Percentages and ratios\(
\text {If } y=a x \text { and it is known that }
\)\(
y \text { is } 20 \% \text { more than } x\text { ,then }
\)\(
a=\ldots
\)CorrectIncorrect 
Question 62 of 74
62. Question
Category: Percentages and ratios\(
\text { If the price of an item was } 400 \$
\)\(
\text { before it decreased by } 10 \% \text { twice, }
\)\(
\text { what is the final price after}
\)\(
\text { decreasing? }
\)CorrectIncorrect 
Question 63 of 74
63. Question
Category: ProbabilityCorrectIncorrect 
Question 64 of 74
64. Question
Category: ProbabilityCorrectIncorrect 
Question 65 of 74
65. Question
Category: Data analysis I\(
\text { If } 5 \text { students had a quiz and their }
\)\(
\text { scores were } 7,11,12,6,9 \text {, }
\)\(
\text { what is their average score? }
\)CorrectIncorrect 
Question 66 of 74
66. Question
Category: Data analysis I\(
\text { The average of } 3,7, x, y \text { is } 6
\)\(
\text { what is } x+y ?
\)CorrectIncorrect 
Question 67 of 74
67. Question
Category: Data analysis ICorrectIncorrect 
Question 68 of 74
68. Question
Category: Data analysis ICorrectIncorrect 
Question 69 of 74
69. Question
Category: Data analysis ICorrectIncorrect 
Question 70 of 74
70. Question
Category: Data analysis ICorrectIncorrect 
Question 71 of 74
71. Question
Category: Data analysis II\(
\text {Which of the following data has }
\)\(
\text {smallest standard diviation? }
\)CorrectIncorrect 
Question 72 of 74
72. Question
Category: LogCorrectIncorrect 
Question 73 of 74
73. Question
Category: LogCorrectIncorrect 
Question 74 of 74
74. Question
Category: LogCorrectIncorrect