Mathematical Concepts and Problem Solving

This video tutorial by Homework Tutors covers the May 2017 sample test for sixth-grade math. It includes explanations for questions 1 through 10, focusing on topics such as ordering temperatures, finding points on a coordinate grid, mixing paint ratios, interpreting bar graphs, solving equations with negative integers, multiplying decimals, calculating trapezoid areas, solving inequalities, finding equivalent expressions, and calculating triangle angles. The video provides step-by-step solutions and emphasizes key concepts like order of operations and reference sheet usage.

What items are included in the reference sheets provided at the beginning of the test?

• Four equations, a ruler, and graph paper

• A calculator and a protractor

• A dictionary and a thesaurus

• A periodic table and a map

How should temperatures be ordered from coldest to warmest?

• From the most positive to the most negative

• From the most negative to the most positive

• From the highest to the lowest

• In any random order

Which ordered pair represents a point 4 units left and 2 units below the origin?

• (-4, -2)

• (4, 2)

• (-2, 4)

• (2, -4)

What is the equivalent ratio of 5:9?

• 10:18

• 30:54

• 15:27

• 25:45

How many students preferred breakfast according to the percentage bar graph?

• 6

• 3

• 9

• 12

What is the result of adding -100 and 10?

• -90

• -110

• 110

• 90

How do you multiply decimals correctly?

• Ignore the decimal points

• Use a calculator

• Align the decimal points and multiply

• Multiply as whole numbers and adjust the decimal

What is the formula for the area of a trapezoid?

• Base one plus base two

• Length times width

• Base times height

• 1/2 times base one plus base two times height

Which inequality represents walking at least 18 miles at 4 miles per hour?

• 4H ≥ 18

• 4H ≤ 18

• 4H > 18

• 4H < 18

Which expression is equivalent to 30 + 6 ÷ 12?

• 30 + 0.5

• 30 ÷ 6 + 12

• 36 ÷ 12

• 30 + 6 ÷ 2