Exponents and Order of Operations Test – Grade 6 Math (Printable PDF)

Question 1 Exponent basics (2 points)

1. Write 3 × 3 × 3 × 3 × 3 using an exponent and evaluate it. (1 point)
2. Evaluate 2⁷. (1 point)

Question 2 Powers of 10 (2 points)

1. Write 10⁵ in standard form. (1 point)
2. Write 10,000 as a power of 10. (1 point)

Question 3 Tiles as a power (2 points)

The patio is made of equal rows and columns of tiles.

1. Write the number of tiles as a power. (1 point)
2. Evaluate the power. (1 point)

Question 4 Order matters (2 points)

Evaluate each expression.

1. 30 − 12 ÷ 3 (1 point)
2. (30 − 12) ÷ 3 (1 point)

Question 5 Power and subtraction (2 points)

Evaluate 4³ − 5 × 6.

Question 6 Multi-step expression (3 points)

Evaluate 5 + 2 × (11 − 3)² ÷ 4. Show each step.

Question 7 Spot the error (3 points)

Jordan wrote: 7 + 3 × 2² = 40.

1. Explain Jordan’s mistake. (1 point)
2. Find the correct value. (2 points)

Question 8 Concert receipt (3 points)

Four friends each buy a $12 ticket and a $3 program. The group gets $6 off the whole order.

1. Write one expression for the total cost. (1 point)
2. Evaluate it. (2 points)

Question 9 Power versus product (1 point)

A tile pattern has 3 layers, 3 rows and 3 columns. Write the tile count as a power and say why the value is not 9.