ACT Math ACT vs SAT ACT Math No Formula Sheet Provided Must Memorise

ACT vs SAT — ACT Math: No Formula Sheet Provided — Must Memorise

What This Is and Why It Matters for the ACT

The ACT Math section appears in every ACT test. It's a 60-minute section with 60 questions, including multiple-choice and grid-in questions. You'll need to memorise key formulas to solve problems quickly and accurately. Don't worry; with practice, you'll become familiar with the most common formulas.

Key Concepts (What You Must Know)

• Algebraic formulas:
  • Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
  • Linear equation: y = mx + b
  • Exponential growth: y = abx
• Geometry formulas:
  • Area of a circle: A = πr²
  • Perimeter of a rectangle: P = 2l + 2w
  • Volume of a cube: V = s³
• Trigonometry formulas:
  • Sine: sin(x) = opposite / hypotenuse
  • Cosine: cos(x) = adjacent / hypotenuse
  • Tangent: tan(x) = opposite / adjacent

Step-by-Step Strategy for This Topic

1. Read the question carefully: Identify the type of problem and the information given.
2. Identify the key formula: Look for the formula that matches the problem.
3. Plug in the values: Substitute the given values into the formula.
4. Solve the problem: Simplify the equation and find the answer.
5. Check your work: Verify that your answer makes sense in the context of the problem.
6. Manage your time: Allocate 1-2 minutes per question, depending on the difficulty.

⚠️ Don't memorise formulas without understanding the underlying concepts.

How It’s Tested on the ACT

The ACT Math section includes multiple-choice questions with five answer choices (A-E). You'll need to read the question carefully, identify the key formula, and plug in the values to solve the problem.

Common distractors:
* Approximate values: Be careful not to round values too quickly.
* Incorrect signs: Double-check the signs of the values.
* Missing values: Make sure to include all necessary values in your calculations.

Common Mistakes & Exam Traps

• The mistake: Not memorising key formulas.
• Why it happens: Rushing through the test.
• How to avoid it: Practice regularly and memorise key formulas.

• Exam board insight: The ACT will penalise you for not showing work.

• The mistake: Not checking work.

• Why it happens: Rushing through the test.
• How to avoid it: Take your time and verify your answer.

• Exam board insight: The ACT will penalise you for incorrect answers.

• The mistake: Not allocating time correctly.

• Why it happens: Poor time management.
• How to avoid it: Practice pacing yourself and allocate time correctly.

• Exam board insight: The ACT will penalise you for not completing the test.

• The mistake: Not reading the question carefully.

• Why it happens: Rushing through the test.
• How to avoid it: Read the question carefully and identify the key formula.

• Exam board insight: The ACT will penalise you for incorrect answers.

• The mistake: Not using the correct formula.

• Why it happens: Not memorising key formulas.
• How to avoid it: Practice regularly and memorise key formulas.
• Exam board insight: The ACT will penalise you for not showing work.

Practice Questions (3-5 questions)

Question 1: If a cube has a volume of 216 cubic units, what is the length of one side?

Options: A) 3, B) 4, C) 6, D) 8, E) 12

Answer: C) 6

Explanation: Use the formula V = s³. Plug in the value 216 for V and solve for s.

Question 2: What is the equation of the line that passes through the points (2, 3) and (4, 5)?

Options: A) y = 2x + 1, B) y = 2x - 1, C) y = x + 2, D) y = x - 2, E) y = 2x + 2

Answer: B) y = 2x - 1

Explanation: Use the formula y = mx + b. Find the slope (m) and the y-intercept (b) using the two points.

Question 3: If a circle has a radius of 4 units, what is its area?

Options: A) 16π, B) 32π, C) 64π, D) 128π, E) 256π

Answer: A) 16π

Explanation: Use the formula A = πr². Plug in the value 4 for r and solve for A.

Quick Reference Card (60-Second Summary)

• Algebraic formulas: Quadratic formula, linear equation, exponential growth
• Geometry formulas: Area of a circle, perimeter of a rectangle, volume of a cube
• Trigonometry formulas: Sine, cosine, tangent
• Mnemonic: "SOH-CAH-TOA" for trigonometry formulas

If You Get Stuck on Test Day

• What to do when you don't know the answer: Eliminate incorrect options and make an educated guess.
• Pacing strategy: Allocate 1-2 minutes per question, depending on the difficulty.
• When to skip and come back: Skip questions that are too difficult and come back to them later.

Related ACT Topics

• ACT Math: Algebraic Equations: Practice solving linear and quadratic equations.
• ACT Math: Geometry: Practice solving problems involving points, lines, and planes.
• ACT Math: Trigonometry: Practice solving problems involving triangles and trigonometric functions.