6th grade Math practice sheet
Alaska content standards · from Gradelings · Name: ______________________
Question 1
What is 3 × 8?
3 × 8 = ?
answer box
24
Hint: Split 8 into 5 + 3: 3 × 5 = 15 and 3 × 3 = 9. Add them.
Question 2
Write the mixed number 4 3/4 as an improper fraction.
answer box
19/4
Hint: Multiply the whole number by the denominator, then add the numerator: 4 × 4 + 3. Keep the denominator, 4.
Question 3
What is 8.12 × 7?
8.12 × 7 = ?
answer box
56.84
Hint: Multiply as if there were no decimal point: 812 × 7 = 5684. 8.12 has 2 decimal places, so the answer does too.
Question 4
A pair of headphones costs $125. It is on sale for 20% off. What is the sale price?
🎧20% off- $150
- $25
- $105
- $100
$100
Hint: First find the discount: 20% of $125. Then subtract the discount from the original price.
Question 5
Which expression gives the output for any input n?
Pattern rule Input (n) Output 1 4 2 6 3 8 4 10 - 3n + 1
- 2n + 3
- 4n
- 2n + 2
2n + 2
Hint: The output changes by 2 each time the input goes up by 1, so the rule starts with 2n. Then check n = 1 and adjust with + or −.
Question 6
Solve for y.
y ÷ 10 = 5
answer box
50
Hint: Undo dividing: multiply both sides by 10. y = 5 × 10.
Question 7
A trapezoid has parallel sides of 7 cm and 11 cm, and a height of 10 cm. What is its area?
answer boxcm²
90 cm²
Hint: Add the parallel sides, multiply by the height, then divide by 2: (a + b) × h ÷ 2.
Question 8
Which unit is best for measuring the volume of a shipping container?
- square meters (m²)
- cubic centimeters (cm³)
- cubic meters (m³)
- milliliters (mL)
cubic meters (m³)
Hint: Volume is measured in cubic units. A shipping container is huge, so use meter cubes.
Question 9
Which integer belongs at the ? on the number line?
- −9
- 9
- 0
0
Hint: Numbers to the right of 0 are positive. Numbers to the left are negative.
Question 10
Which shows the solution to n < 2 on a number line?
- a closed circle at 2 with an arrow pointing left
- an open circle at 2 with an arrow pointing right
- an open circle at 2 with an arrow pointing left
an open circle at 2 with an arrow pointing left
Hint: An open circle means the number itself is not included. The arrow points to the numbers that work.
Answer key
- 1. 24 (Facts & Factors)
- 2. 19/4 (Mixed Numbers & Ratios)
- 3. 56.84 (Decimal × and ÷)
- 4. $100 (Percents & Budgets)
- 5. 2n + 2 (Patterns & Graphs)
- 6. 50 (Equations)
- 7. 90 cm² (Perimeter & Area)
- 8. cubic meters (m³) (Volume & Capacity)
- 9. 0 (Integers & Decimals)
- 10. an open circle at 2 with an arrow pointing left (Algebra Moves)
Want more than 10 questions?
In Gradelings the questions change every time and adjust to your child, with hints and kind feedback. See all math units.