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Guide for HSC Maths Practice Test

Quiz HSC Maths Practice Test

10/110 Questions|Updated on 2024/03/21
Free Test
/ 10
|
4.6

Quiz

1/10
Algebra
Consider the equation 2x + 5 = 11. What is the value of x?
Select the answer
1 correct answer
A.
3
B.
4
C.
6
D.
8

Quiz

2/10
Calculus
A farmer is measuring the growth of a crop over time. The rate of growth, in centimeters per week, can be modeled by the function f(t) = 3t^2 + 8t + 4, where t represents the number of weeks. What is the instantaneous rate of growth of the crop after 2 weeks?
Select the answer
1 correct answer
A.
f(2)
B.
14 cm/week
C.
f'(2)
D.
28 cm/week

Quiz

3/10
Combinatorics
In how many ways can the letters of the word "AUSTRALIA" be arranged?
Select the answer
1 correct answer
A.
362,880
B.
40,320
C.
7,257
D.
5,040

Quiz

4/10
Complex Numbers
Which of the following represents a complex number?
Select the answer
1 correct answer
A.
2
B.
-3
C.
i
D.
5

Quiz

5/10
Geometry
In a triangle ABC, angle A measures 45 degrees and angle B measures 60 degrees. What is the measure of angle C?
Select the answer
1 correct answer
A.
30 degrees
B.
75 degrees
C.
90 degrees
D.
120 degrees

Quiz

6/10
Matrices and Linear Algebra
Which of the following is a method used to solve systems of linear equations using matrices?
Select the answer
2 correct answers
A.
Gaussian elimination
B.
Substitution method
C.
Cramer's rule
D.
Graphing method

Quiz

7/10
Number Theory
In a certain number system, the remainder when the number 35 is divided by 8 is 3. What is the remainder when the number 17 is divided by 8 in the same number system?
Select the answer
1 correct answer
A.
4
B.
5
C.
6
D.
7

Quiz

8/10
Sequences and Series
What is the general term of the arithmetic sequence: 3, 7, 11, 15, ...?
Select the answer
1 correct answer
A.
An = 4n - 1
B.
An = 4n + 1
C.
An = 4n + 3
D.
An = 4n + 5

Quiz

9/10
Statistics and Probability
In a statistics class, 40% of the students are from Australia. If there are 25 students in the class, how many students are from Australia?
Select the answer
1 correct answer
A.
8
B.
10
C.
15
D.
20

Quiz

10/10
Trigonometry
In a right-angled triangle, the length of one of the legs is 5 cm and the length of the hypotenuse is 13 cm. What is the value of the sine of the angle opposite to the leg of length 5 cm?
Select the answer
1 correct answer
A.
0.384
B.
0.615
C.
0.769
D.
0.925
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Info quiz:

  • Quiz name:HSC Maths Practice Test
  • Total number of questions:110
  • Number of questions for the test:100
  • Pass score:70%
  • Number of topics:11 Topics
Study topics:Number of questions:
  • Algebra:10 Questions
  • Calculus:10 Questions
  • Combinatorics:10 Questions
  • Complex Numbers:10 Questions
  • Geometry:10 Questions
  • Matrices and Linear Algebra:10 Questions
  • Number Theory:10 Questions
  • Sequences and Series:10 Questions
  • Statistics and Probability:10 Questions
  • Trigonometry:10 Questions
  • Vectors:10 Questions

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