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ACT Math Practice Test 8

ACT Math Practice Tests

Home ACT Practice Tests ACT Math Practice Tests Practice Test 8

ACT Math Practice Tests

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ACT Math Practice Test 8

Difficulty Level – 4: Difficult

Directions: Solve each problem and then click on the correct answer. You are permitted to use a calculator on this test.

Time limit: 0

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Question 1 of 10

1. Question

Each term in a sequence of numbers is created by halving the previous number in the sequence, multiplying it by 3 and subtracting 5. If the 3rd number in this sequence is 41.5, what is the first number in the sequence?

\(12\)
Correct Incorrect Correct answer

\(18\)
Correct Incorrect Correct answer

\(24\)
Correct Incorrect Correct answer

\(31\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 2 of 10

2. Question

A rectangle is inscribed inside of a circle in the figure above. What is the length of twice the circumference?

\(5π \ \text{in}\)
Correct Incorrect Correct answer

\(10π \ \text{in}\)
Correct Incorrect Correct answer

\(15π \ \text{in}\)
Correct Incorrect Correct answer

\(30π \ \text{in}\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 3 of 10

3. Question

If 68% of a number is 102, what is 250% of the same number?

\(246\)
Correct Incorrect Correct answer

\(255\)
Correct Incorrect Correct answer

\(287\)
Correct Incorrect Correct answer

\(375\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 4 of 10

4. Question

In the figure provided below, all line segments meet at right angles. What is the area of the figure?

\(62.5 \ \text{in}^2\)
Correct Incorrect Correct answer

\(65 \ \text{in}^2\)
Correct Incorrect Correct answer

\(70 \ \text{in}^2\)
Correct Incorrect Correct answer

\(72.5 \ \text{in}^2\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 5 of 10

5. Question

What is the expression \(−3(4 + i) − (i^2 + 3i)\), where \(i\) is imaginary, equivalent to?

\(− 12 − 7i\)
Correct Incorrect Correct answer

\(− 11 − 6i\)
Correct Incorrect Correct answer

\(− 13 − 6i\)
Correct Incorrect Correct answer

\(− 13 − 7i\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 6 of 10

6. Question

What is the 60th term in the following arithmetic sequence?

\(−4, 1, 6, 11 …\)

\(291\)
Correct Incorrect Correct answer

\(292\)
Correct Incorrect Correct answer

\(293\)
Correct Incorrect Correct answer

\(294\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 7 of 10

7. Question

What is the weighted average (arithmetic mean) of \((a − 2)^2,(a + 1)^2\), and \((a + 4)^2\)?

\(a^2 + 2a + 7 \)
Correct Incorrect Correct answer

\(a^2 + a + 8 \)
Correct Incorrect Correct answer

\(a^2 + 2a + 8\)
Correct Incorrect Correct answer

\(a^2 + 3a + 7\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 8 of 10

8. Question

A 5-sided figure (shown in black) is created by taking a rectangle and removing three right triangles. What is the perimeter, in inches, of the 5-sided figure?

\(17 + \sqrt{2} + 4\sqrt{3}\)
Correct Incorrect Correct answer

\(19 + \sqrt{2} + 5\sqrt{3}\)
Correct Incorrect Correct answer

\(23 + 2\sqrt{2} + 9\sqrt{3}\)
Correct Incorrect Correct answer

\(36\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 9 of 10

9. Question

A circle is drawn in the Cartesian plane. It is drawn tangent to the y-axis at −7 and tangent to the x-axis at 7. What is the equation of the circle?

\((x − 7)^2 + (y + 7)^2 = 49\)
Correct Incorrect Correct answer

\((x + 7)^2 + (y + 7)^2 = 49\)
Correct Incorrect Correct answer

\((x + 7)^2 + (y − 7)^2 = 49\)
Correct Incorrect Correct answer

\(x^2 + y^2 = 49\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 10 of 10

10. Question

The side length of a cube is 3 units, what is the length of the cube’s diagonal?

\(3\sqrt{3}\)
Correct Incorrect Correct answer

\(12\sqrt{2}\)
Correct Incorrect Correct answer

\(12\sqrt{3}\)
Correct Incorrect Correct answer

\(27\sqrt{2}\)
Correct Incorrect Correct answer

Correct

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Next: ACT Math Practice Test 9

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