Exponents and Order of Operations: Grade 6 Math Test – PDF Download

Question 1: Evaluating Powers (2 points)

1. Evaluate \(4^3\). (1 point)
2. Write \(10^5\) in standard form. (1 point)

Question 2: Using an Exponent (2 points)

Write \(6\times 6\times 6\times 6\) using an exponent (1 point), then find its value (1 point).

Question 3: Addition, Subtraction, Multiplication, Division (2 points)

1. Evaluate \(28 – 4\times 5 + 6\). (1 point)
2. Evaluate \(48: 8\times 3\). (1 point)

Question 4: Grouping Symbols (2 points)

1. Evaluate \((15 – 7)\times 4: 2\). (1 point)
2. Evaluate \(60: (4+6) – 2\). (1 point)

Question 5: Effect of Parentheses (2 points)

1. Evaluate \(7 + 3^2\times 2\). (1 point)
2. Evaluate \((7+3)^2\times 2\). (1 point)

Question 6: Multi-Step Expressions (3 points)

1. Evaluate \(5\times (2^3 + 4) – 9\). (1 point)
2. Evaluate \(90: (13 – 4) + 3^2\). (1 point)
3. Evaluate \(2^4 – 3\times 2^2\). (1 point)

Question 7: Comparing Powers (2 points)

Write <, >, or = in each blank.

1. \(2^6\) ___ \(6^2\) (1 point)
2. \(4^3\) ___ \(2^6\) (1 point)

Question 8: Noah's Mistake (2 points)

Noah evaluated \(5 + 3\times 2^2\) and got \(32\).

1. Find the correct value. (1 point)
2. Explain what Noah did wrong. (1 point)

Question 9: Garden Soil (3 points)

A square garden has sides of \(9\text{ ft}\). Soil costs $2 per square foot, plus a $15 delivery fee.

1. Write an expression with an exponent for the garden’s area and evaluate it. (1 point)
2. Write and evaluate an expression for the total cost of the soil with delivery. (2 points)

See every chapter on the Grade 6 math page.