GMAS Sample Questions: Grade 5 MATH

The GMAS is a Computer-Based Longitudinal Assessment System for College and Career Readiness. The students will face a variety of new technology-enhanced questions as a part of the computer-based tests.

Some of them are Multiple choice-single correct responses, Multiple choice-multiple correct responses, Matching Tables, Drag and Drop, Hot text, Table Fill in, Graphing, Equation/numeric, Extended constructed response, Short answer, and many more.

Today, we will share several sample questions along with practice test links for grade 5 Math that gives you an idea of questions that your students are likely to see on the test. After each sample question, an explanation follows that includes any important aspects of the task that you may need to consider with respect to the skills, processes, and information your students need to know.

Domain: Grade 5 >> Operations & Algebraic Thinking

Sample Question: In 2,017,847 which digit is in the ten-thousands place?

  1. 2
  2. 7
  3. 1
  4. 0

Answer Explanation: Working from right to left, whole number place value goes: ones, tens, hundreds, thousands, ten thousands. The ten thousands place is the 5th place from the right (or from the decimal point). It is also two places to the left of the first comma.-

Standards: MGSE5.NBT.1

Click here to practice: Operations & Algebraic Thinking Questions on 5th Grade

Domain: Grade 5 >> Number & Operations in Base Ten

Sample Question: When comparing 385.24 with 452.38 which of the following statements are correct? Check all that apply.

  1. The digit 3 in 385.24 is 1000 times greater than the 3 in 452.38.
  2. The digit 5 is ten times less in 452.38 than in 385.24.
  3. The digit 8 is 100 times more in 385.24 than in 452.38.
  4. The digit 2 is 10 times more in 452.38 than in 385.24

Answer Explanation: A digit in one place represents ten times more than the digit to its right and ten times less than the digit to its left.

A. The digit 3 in 385.24 is three places to the right of the digit three in 452.38 and is thus 10 x 10 x 10 = 1000 times greater. Statement A is correct.

B. The digit 5 in 452.38 is one place to the right of the digit 5 in 385.24 and is thus 10 times greater. Statement B is an incorrect.

C. The digit 8 in 385.24 is three places to the left of the digit 8 in 452.38 and is thus 10 x 10 x 10 = 1000 times greater. Statement C is incorrect.

D. The digit 2 in 452.38 is one place to the left of the digit 2 in 385.24 and is thus 10 times greater. Statement D is correct.

The correct answers are A and D.

Standards: 5.NBT.1

Click here to practice: Grade 5 Number & Operations in Base Ten Questions

Domain: Grade 5 >> Number & Operations – Fractions

Sample Question: Which statement proves that 1/6 ÷3 = 1/18 ?

  1. 3/18 = 1/6
  2. 1/6 x 3 = 3/6
  3. 1/18 ÷ 3 = 1/6
  4. 1/18 x 3 = 3/18

Answer Explanation: When dividing two numbers (such as 12 ÷ 4 = 3), the answer can be checked by multiplying (3 x 4 = 12). This is true for fractions as well. To check 1/6 ÷ 3 = 1/18, multiply:

Standards: MGSE5.NF.7a

Click here to practice: 5 Number & Operations – Fractions Questions

Domain: Grade 5 >> Measurement & Data

Sample Question: Which of these is an accurate way to measure the volume of a rectangular prism?

  1. Fill it with water and then weigh the water.
  2. Trace each face of the prism on centimeter grid paper, and then count the number of squares it comprises.
  3. Measure the length and the width, and then multiply the two values.
  4. Pack it with unit cubes, leaving no gaps or overlaps, and count the number of unit cubes.

Answer Explanation: An object’s volume can be determined by packing it with unit cubes, leaving no gaps or overlaps, and counting the number of unit cubes.

Standards: 5.MD.C.3.B

Click here to practice: Measurement & Data Questions for 5th Grade

Domain: Grade 5 >> Geometry

Sample Question: Complete the following statement.

A circle will never ________________.

  1. be part of a prism
  2. have rotational symmetry
  3. have line symmetry
  4. have an area

Answer Explanation: Base and top of a prism is a polygon whereas cylinders usually have circles as the base and top. Sides of the prism are parallelograms or rectangles.

Although a circle is part of a cylinder, a cylinder is not truly a prism. A prism is only made of flat surfaces and a cylinder has a curved surface.

Standards: MGSE5.G.3

Click here to practice: Geometry Questions for 5th Grade

Looking for online practice tests? Here is the link to practice more of GMAS Grade 5 Math questions.

Jaci Smith