Practice with Probability and Stats: Problems and Answers

(See your Math teacher if you need help)

TIPS:

• Tip #1: Approach every ACT math question with the same method

     1. Read the question

     2. Look at the information provided in the question and the answer choices

     3. Solve:

           -Backsolve

           -Pick Numbers

           -Use Traditional Math

           -Strategically Guess

     4. Check to make sure that you answered the specific question that was asked.

Tip #2: Pick Numbers to avoid complicated algebra on the ACT

Skip using involved algebraic equations by picking numbers for variables. Avoid picking 0 or 1 because they have special properties.

Tip #3: Backsolve to save time on the ACT

You can backsolve when you see integers in the answer choices. Start with answer choice C/H unless the question asks for the smallest or largest value.

Tip #4: Translate words into math

Translate the words in the question into math so that you can solve more easily. Remember that ”of” means to multiply.

Tip #5: Know number properties

Recognizing number properties will save you time on test day. Number properties rules include odds and evens, prime numbers, and the order of operations. You can pick numbers to help you remember the rules.

Tip #6: Understand ACT math relationships

Know the difference between values, ratios, and percents. A ratio is a relationship between numbers. The ACT test-makers value being able to move easily between percents, fractions, and decimals.

Tip #7: Know your triangles

You must know the 30-60-90 and 45-45-90 rules. The ACT does not provide this information at the beginning of the math section like the SAT does, so be sure to memorize this information ahead of time. Also look out for Pythagorean triplets (3:4:5 and 5:12:13 and their multiples).

Tip #8: Find common shapes

Find common shapes on the ACT to help you break complex figures into simple polygons. Look in particular for triangles!

When the ACT does NOT mention “Note: Figure not drawn to scale,” you can use the figure to your advantage!

Tip #9: Recognize “red flags”

Be on the lookout for common trap answers on the ACT. This includes oddball answers and answers that are too small or too big.

Tip #10: Make sure your calculator is allowed on Test Day

Check the official ACT website to make sure the calculator you plan to use on the ACT math section is allowed: http://www.actstudent.org/faq/calculator.html