{"id":175980,"date":"2026-07-11T16:18:02","date_gmt":"2026-07-11T10:48:02","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=175980"},"modified":"2026-07-11T16:40:08","modified_gmt":"2026-07-11T11:10:08","slug":"digital-sat-math-practice-questions-with-answers","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/digital-sat-math-practice-questions-with-answers\/","title":{"rendered":"Digital SAT Math Practice Questions with Answers | Free SAT Math Test 2026"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">Digital SAT Math Practice Questions with Answers &amp; Explanations (2026 Free Practice Test)<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Preparing for the <strong>Digital SAT Math<\/strong>? You&#8217;re in the right place. This free practice test features <strong>30 original Digital SAT Math questions<\/strong> designed to help you master the concepts tested on the latest SAT.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">These questions cover the same skill areas emphasized on the Digital SAT, including algebra, advanced math, problem-solving, data analysis, geometry, and trigonometry. Every question includes the correct answer and a detailed explanation to help you understand the reasoning behind the solution.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>Disclaimer:<\/strong> These are original practice questions created for educational purposes. They are not official College Board questions.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">Table of Contents<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Linear Equations<\/li>\n\n\n\n<li>Percentages<\/li>\n\n\n\n<li>Systems of Equations<\/li>\n\n\n\n<li>Functions<\/li>\n\n\n\n<li>Exponents<\/li>\n\n\n\n<li>Quadratic Equations<\/li>\n\n\n\n<li>Geometry<\/li>\n\n\n\n<li>Probability<\/li>\n\n\n\n<li>Statistics<\/li>\n\n\n\n<li>Word Problems<\/li>\n\n\n\n<li>Answer Key<\/li>\n\n\n\n<li>Frequently Asked Questions<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\">What Topics Are Covered in the Digital SAT Math Section?<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">The Digital SAT Math section measures your ability to apply mathematical concepts to real-world situations. Questions generally fall into four broad domains:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Algebra<\/li>\n\n\n\n<li>Advanced Math<\/li>\n\n\n\n<li>Problem Solving and Data Analysis<\/li>\n\n\n\n<li>Geometry and Trigonometry<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The practice questions below are designed to reflect these categories while gradually increasing in difficulty.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Digital SAT Math Practice Questions with Answers<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">Questions 1\u201310 (Easy)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">These questions focus on foundational algebra, percentages, functions, geometry, and exponents.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Topics include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Linear equations<\/li>\n\n\n\n<li>Percent increase and decrease<\/li>\n\n\n\n<li>Function notation<\/li>\n\n\n\n<li>Exponent rules<\/li>\n\n\n\n<li>Rectangle area<\/li>\n\n\n\n<li>Basic probability<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 1: Linear Equations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A gym charges a one-time membership fee of <strong>$40<\/strong> plus <strong>$25 per month<\/strong>. If a member paid <strong>$190<\/strong> in total, for how many months did they pay?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 6<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Let <strong>m<\/strong> represent the number of months.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The total cost consists of:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>One-time membership fee = <strong>$40<\/strong><\/li>\n\n\n\n<li>Monthly fee = <strong>$25 \u00d7 m<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">For this problem, the total paid is <strong>$190<\/strong>, so: 40+25m=190<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Subtract the membership fee<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Subtract <strong>40<\/strong> from both sides:<br>25m=150<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Divide by 25<\/h3>\n\n\n\n<p class=\"has-text-align-left wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>m<\/mi><mo>=<\/mo><mfrac><mn>150<\/mn><mn>25<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">m = \\frac{150}{25}<\/annotation><\/semantics><\/math>m=6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the member paid for <strong>6 months<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 2: Percent<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A jacket originally costs <strong>$120<\/strong>. It is discounted by <strong>15%<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What is the sale price?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. $96<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. $100<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. $102<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. $108<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. $102<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">15% of 120:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>120\\times0.15=18<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sale price:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>120-18=102<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 3: Systems of Equations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Solve:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x+y=18<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>2x-y=9<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (7,11)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (9,9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (8,10)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (6,12)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. (9,9)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Add the equations:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>3x=27<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x=9<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Then,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>y=18-9=9<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 4: Functions<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>f(x)=4x-7,<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">find (f(6)).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 17<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 19<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 24<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 31<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. 17<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Step-by-Step Explanation<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Substitute <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mn>6<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">x = 6<\/annotation><\/semantics><\/math>x=6 into the function:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>f<\/mi><mo stretchy=\"false\">(<\/mo><mn>6<\/mn><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>4<\/mn><mo stretchy=\"false\">(<\/mo><mn>6<\/mn><mo stretchy=\"false\">)<\/mo><mo>\u2212<\/mo><mn>7<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">f(6) = 4(6) &#8211; 7<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Multiply:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>4<\/mn><mo>\u00d7<\/mo><mn>6<\/mn><mo>=<\/mo><mn>24<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">4 \\times 6 = 24<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Subtract 7:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>24<\/mn><mo>\u2212<\/mo><mn>7<\/mn><mo>=<\/mo><mn>17<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">24 &#8211; 7 = 17<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>f<\/mi><mo stretchy=\"false\">(<\/mo><mn>6<\/mn><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>17<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">f(6) = 17<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 5: Exponents<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Simplify<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>\\frac{5^6}{5^2}<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (5^2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (5^3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (5^4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (5^8)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. (5^4)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Subtract exponents:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>5^{6-2}=5^4<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 6: Quadratic Equations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Solve<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x^2-13x+40=0<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 4 and 10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 5 and 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 6 and 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 2 and 20<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 5 and 8<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Factor:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>(x-5)(x-8)=0<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 7: Geometry<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A rectangle has a length of <strong>18 cm<\/strong> and a width of <strong>11 cm<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What is its area?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 198 cm\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 176 cm\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 58 cm\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 396 cm\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. 198 cm\u00b2<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Area:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>18\\times11=198<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 8: Probability<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A box contains <strong>6 blue<\/strong>, <strong>5 black<\/strong>, and <strong>4 red<\/strong> pens.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What is the probability of selecting a black pen?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (\\frac13)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (\\frac15)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (\\frac{5}{15})<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (\\frac{5}{14})<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. (\\frac13)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Total pens = 15<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Probability:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>\\frac5{15}=\\frac13<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 9: Linear Functions<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A line passes through <strong>(3,8)<\/strong> and <strong>(7,20)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Find its slope.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 3<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>\\frac{20-8}{7-3}=\\frac{12}{4}=3<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 10: Word Problem<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A school bookstore sells notebooks for <strong>$4<\/strong> and calculators for <strong>$18<\/strong>. The store sold <strong>30 items<\/strong> for <strong>$330<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">How many calculators were sold?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 12<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 15<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 18<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. 15<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Let (c) represent calculators.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>4(30-c)+18c=330<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>120-4c+18c=330<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>14c=210<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>c=15<br>]<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Questions 11\u201320 (Medium)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The next set introduces multi-step equations and more advanced applications.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Topics include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Systems of equations<\/li>\n\n\n\n<li>Ratios and proportions<\/li>\n\n\n\n<li>Circle geometry<\/li>\n\n\n\n<li>Quadratic equations<\/li>\n\n\n\n<li>Function evaluation<\/li>\n\n\n\n<li>Data analysis<\/li>\n\n\n\n<li>Coordinate geometry<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 11: Algebra<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Solve:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>7x-9=40<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. 7<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>7x=49<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x=7<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 12: Percent Increase<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A phone costs <strong>$800<\/strong> and increases by <strong>10%<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">New price?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. $840<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. $860<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. $880<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. $900<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. $880<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">10% of 800 is 80.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>800+80=880<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 13: Ratio<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The ratio of boys to girls is <strong>4:5<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">There are <strong>36 students<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">How many are girls?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 16<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 18<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 20<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 24<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. 20<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 14: Quadratics<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Solve:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x^2-11x+30=0<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5 and 6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 4 and 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 3 and 10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 2 and 15<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. 5 and 6<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 15: Exponents<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Simplify<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>3^2\\times3^5<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (3^6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (3^7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (3^{10})<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (9^7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. (3^7)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 16: Functions<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>g(x)=2x^2-3<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">find (g(4)).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 25<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 29<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 32<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 35<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 29<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 17: Circle<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The circumference of a circle is<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>10\\pi<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Find its radius.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 20<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 5<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 18: Data Analysis<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The average of five numbers is <strong>18<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Four numbers are <strong>12, 16, 20, and 22<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Find the fifth number.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 18<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 20<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 22<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 30<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 20<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Total:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>18\\times5=90<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Known sum:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>12+16+20+22=70<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Fifth number:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>90-70=20<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 19: Linear Equations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A line has slope <strong>4<\/strong> and passes through <strong>(2,3)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Find the equation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (y=4x-5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (y=4x+5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (y=3x-2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (y=2x+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 20: Word Problem<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A bakery sells muffins for <strong>$3<\/strong> and cookies for <strong>$2<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It sold <strong>80 items<\/strong> for <strong>$200<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">How many muffins were sold?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 30<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 40<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 50<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 60<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 40<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Questions 21\u201330 (Hard)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">These questions are comparable to the more challenging problems found on the Digital SAT.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Topics include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Advanced algebra<\/li>\n\n\n\n<li>Word problems<\/li>\n\n\n\n<li>Statistics<\/li>\n\n\n\n<li>Linear functions<\/li>\n\n\n\n<li>Quadratic equations<\/li>\n\n\n\n<li>Probability<\/li>\n\n\n\n<li>Multi-step reasoning<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 21: Linear Equations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Solve:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>5x+12=47<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. 7<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 22: Percent<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A bicycle costs <strong>$450<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It is discounted by <strong>20%<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sale price?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. $340<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. $350<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. $360<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. $380<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. $360<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 23: Systems of Equations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Solve:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x+y=15<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x-y=3<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (9,6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (8,7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (10,5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (6,9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. (9,6)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 24: Functions<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>f(x)=2x+9<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">find<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>f(-4)<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. -1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. -8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 17<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 1<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 25: Exponents<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Simplify<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>\\frac{7^5}{7^2}<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (7^2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (7^3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (7^5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (7^7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. (7^3)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 26: Quadratic Equations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Solve<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>x^2-9x+14=0<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 2 and 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 3 and 6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 1 and 14<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 4 and 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. 2 and 7<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 27: Geometry<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A rectangle has a length of <strong>15 cm<\/strong> and a width of <strong>8 cm<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Find its perimeter.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 46 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 60 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 120 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 23 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. 46 cm<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 28: Probability<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A box contains <strong>5 red<\/strong>, <strong>7 blue<\/strong>, and <strong>8 green<\/strong> marbles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What is the probability of selecting a green marble?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (\\frac25)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (\\frac13)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (\\frac{7}{20})<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (\\frac12)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>A. (\\frac25)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Total marbles:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>5+7+8=20<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Probability:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>\\frac8{20}=\\frac25<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 29: Statistics<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The quiz scores are:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">72, 80, 84, 88, 90, 96<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Find the median.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 84<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 85<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 86<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 88<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>C. 86<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 30: Word Problem<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A movie theater charges <strong>$15<\/strong> for an adult ticket and <strong>$9<\/strong> for a child ticket.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A total of <strong>60 tickets<\/strong> were sold for <strong>$708<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">How many adult tickets were sold?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 24<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 28<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 32<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. 36<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> <strong>B. 28<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Let (a) represent adult tickets.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>15a+9(60-a)=708<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>6a=168<br>]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>a=28<br>]<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Tips for Scoring Higher on SAT Math<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. Master Algebra<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Nearly half of the SAT Math section tests algebraic reasoning. Become comfortable solving equations, inequalities, and systems of equations.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Learn Function Notation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Understand how to evaluate functions, identify patterns, and interpret graphs.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. Memorize Essential Geometry Formulas<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Know formulas for:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area<\/li>\n\n\n\n<li>Perimeter<\/li>\n\n\n\n<li>Circumference<\/li>\n\n\n\n<li>Volume<\/li>\n\n\n\n<li>Surface area<\/li>\n\n\n\n<li>Pythagorean Theorem<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4. Practice Without a Calculator<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Many Digital SAT questions can be solved mentally or with basic arithmetic.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. Use the Built-In Desmos Calculator Wisely<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The Digital SAT provides the Desmos graphing calculator for every math question. Learn when graphing is faster than solving algebraically.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6. Review Every Mistake<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The fastest way to improve your SAT score is to understand why an answer is wrong\u2014not just memorize the correct answer.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Frequently Asked Questions<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">Are these official SAT questions?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">No. These are completely original practice questions created to mirror the style and difficulty of the Digital SAT.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Are these questions suitable for the Digital SAT?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Yes. They are designed around the current Digital SAT Math content domains, including Algebra, Advanced Math, Geometry, and Data Analysis.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Is a calculator allowed on the Digital SAT?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Yes. Students have access to the built-in Desmos graphing calculator throughout the entire Math section and may also bring an approved handheld calculator.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How many questions are on the Digital SAT Math section?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The Digital SAT Math section contains <strong>44 questions<\/strong> split across <strong>2 adaptive modules<\/strong>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What is a good SAT Math score?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A score of <strong>700\u2013800<\/strong> is considered excellent, while <strong>650+<\/strong> is competitive for many colleges. Highly selective universities often expect scores in the upper range.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">Key of Success<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Consistent practice is one of the most effective ways to improve your SAT Math score. Work through each problem carefully, review the explanations, and revisit topics where you struggle. Over time, you&#8217;ll build both speed and confidence for test day.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If you&#8217;re aiming for a top score, combine these practice questions with full-length timed practice tests and regular review sessions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Related SAT Resources<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Digital SAT Algebra Practice Questions<\/li>\n\n\n\n<li>SAT Geometry Practice Test<\/li>\n\n\n\n<li>SAT Advanced Math Questions<\/li>\n\n\n\n<li>SAT Vocabulary Practice<\/li>\n\n\n\n<li>Digital SAT Reading &amp; Writing Practice<\/li>\n\n\n\n<li>Full-Length Digital SAT Practice Test<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Digital SAT Math Practice Questions with Answers &amp; Explanations (2026 Free Practice Test) Preparing for the Digital SAT Math? You&#8217;re in the right place. This free practice test features 30 original Digital SAT Math questions designed to help you master the concepts tested on the latest SAT. 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