Before diving into the questions, let’s take a look at the different types of math topics you may be tested on for this grade level. 6th grade math includes:

• Number Theory
• Algebra
• Geometry
• Probability and Statistics
• Pre-Calculus

In each of these areas, you may need to know basic concepts, equations, and problem solving. Many of the questions we’ve provided below will test your knowledge of these particular topics.

Multiple Choice Questions

Multiple-choice questions are designed to assess your knowledge of the concepts covered in 6th grade math. Here are a few questions to test your understanding.

1. What is the product of (2x – 5) and (2x + 3)?

a. 4x^2 +13
b. 4x^2 – 11
c. 4x^2 +3
d. 4x^2 – 13

1. What is the area of a triangle whose base is 10 cm and height is 13 cm?

a. 19.5 cm2
b. 39 cm2
c. 78 cm2
d. 156 cm2

1. What is the perimeter of a square with a side length of 8 cm?

a. 32 cm
b. 16 cm
c. 24 cm
d. 28 cm

Short-answer questions are more in-depth than multiple choice questions as they require you to explain or demonstrate your understanding of the concept. Here are a few to test your knowledge.

1. Divide the polynomial 12x^3 + 2x^2 – 5x by the monomial x and simplify your answer.

Answer: 12x^2 + 2x – 5

1. Find the perimeter of a rectangle with a length of 15 cm and a width of 4 cm.

1. Simplify the expression 4(3x + 1) – (2x – 9).

Challenge Questions

Challenge questions are designed to test your problem-solving skills. See if you can answer these questions correctly.

1. A cook needs to cut 2 pizzas into 12 equal slices. What angle should they cut each slice at?

1. There are 36 students in a 6th grade math class. The number of boys is 2 less than twice the number of girls. How many boys and girls are in the class?

Answer: 24 boys and 12 girls.

1. There are 288 apples in a bag. Ranjit wants to divide them equally among the students in her 6th grade math class. If there are 12 students, how many apples will each student get?