**Additional Practice**

NOTE: In each of the above video lessons, you’ll find a **Reinforcement Activities** box containing several practice questions that are specifically related to the concepts covered in that lesson (e.g., the lesson on square roots). Conversely, the practice questions below cover a variety of topics under the umbrella of GMAT Powers and Roots, and are intended for general reinforcement.

Given this, you may find it beneficial to work on the questions below __after__ you’ve mastered the module content by watching the video lessons and answering concept-specific practice questions from the Related Resources boxes. For more on this learning strategy, visit our course overview page.

__Problem Solving__** (level of difficulty: 350 to 500) **

Product of primes (powers)

Ordering values (powers, fractions)

__Problem Solving__** (level of difficulty: 500 to 650) **

M = sum of various roots (roots)

k to the power of one-third (roots, powers)

Which one is negative? (powers)

Possible orderings (powers, inequalities)

Roots and powers (roots, powers)

__Problem Solving__** (level of difficulty: 650 to 800)**

12 to the power of n (powers, integer properties)

Powers of 5 and 2 (powers, algebra)

Equation with powers of 5 (powers, algebra)

Musical scale (powers, roots)

__Data Sufficiency__** (level of difficulty: 350 to 500)**

Roots of squares and vice versa (powers, roots)

__Data Sufficiency__** (level of difficulty: 500 to 650)**

5 to the kth power (powers, inequalities)

nth root of n (roots)

__Data Sufficiency__** (level of difficulty: 650 to 800)**

Variable a raised to the power of a (powers, integer properties)

a% of b% of c (powers, percent, integer properties)

Variable exponents (powers)

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**Practice from the Official Guides**

**Official Guide for GMAT Review (2018 edition)**

Problem Solving: 66, 68, 74, 90, 92, 112, 147, 161, 189, 200, 203, 209, 223

Data Sufficiency: 240, 243, 249, 255, 289, 308, 342, 370, 399

**Official Guide for GMAT Review (2017 edition)**

Problem Solving: 10, 28, 58, 77, 87, 95, 118, 128, 145, 164, 178, 185, 196, 198, 204, 208, 223

Data Sufficiency: 240, 243, 249, 255, 277, 327, 356, 361

**Official Guide for GMAT Review (2016 edition)**

Problem Solving: 7, 52, 57, 67, 78, 85, 105, 123, 128, 146, 163, 171, 183, 184, 188, 193, 204, 221

Data Sufficiency: 11, 20, 41, 112, 117, 163, 164, 170, 173

**Official Guide for GMAT Review (2015/13th edition)**

Problem Solving: 9, 35, 52, 65, 100, 106, 111, 122, 146, 163, 170, 176, 180, 196, 217, 227

Data Sufficiency: 15, 52, 101, 157, 159, 169, 172

While answering practice questions from the *Official Guide for GMAT Review* (2018, 2017, 2016 or 2015), you can enter your responses directly into our downloadable **Improvement Chart**. This will help track your progress and identify areas of weakness.