6th grade Math practice sheet
Alabama Course of Study · from Gradelings · Name: ______________________
Question 1
What is the least common multiple (LCM) of 9 and 6?
answer box
18
Hint: List multiples of the bigger number: 9, 18, 27… Stop at the first one that 6 also divides into evenly.
Question 2
Write the mixed number 2 1/8 as an improper fraction.
answer box
17/8
Hint: Multiply the whole number by the denominator, then add the numerator: 2 × 8 + 1. Keep the denominator, 8.
Question 3
A 60.2 m ribbon is cut into 7 equal pieces. How long is each piece?
answer boxm
8.6 m
Hint: Divide the total by 7: 60.2 ÷ 7. Think of 60.2 as 602 tenths to make it easier.
Question 4
Zoe buys a pair of headphones that normally costs $24. The store takes 25% off. How many dollars does Zoe save?
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6
Hint: The amount saved is the discount: 25% of $24. 25% is one quarter, so divide $24 by 4.
Question 5
A rain barrel holds 148 L of water. A tap drains 12 L every minute. How many liters are left after 4 minutes?
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100
Hint: This is a decreasing pattern: start at 148 and subtract 12 each time. After 4 times, that's 148 − 4 × 12.
Question 6
Solve for k.
k ÷ 10 = 12
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120
Hint: Undo dividing: multiply both sides by 10. k = 12 × 10.
Question 7
Join the points in order, A to F, then back to A. Each grid square is 1 m long. What is the perimeter of the shape?
answer boxm
24 m
Hint: Add all 6 sides. Shortcut: the two short steps add up to the full width and height, so the perimeter equals the perimeter of the rectangle around the shape.
Question 8
This is the bottom layer of a box packed with 1 cm cubes. The box is 2 layers high. What is the volume of the box?
🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊🧊answer boxcm³
48 cm³
Hint: Find the number of cubes in one layer (rows × columns), then multiply by the number of layers.
Question 9
Tap the integers from least to greatest.
- −7
- 8
- 6
- −5
−7 → −5 → 6 → 8
Hint: Negative numbers are less than zero. The farther below zero, the smaller the number.
Question 10
Which shows the solution to n > 7 on a number line?
- a closed circle at 7 with an arrow pointing right
- an open circle at 7 with an arrow pointing right
- an open circle at 7 with an arrow pointing left
an open circle at 7 with an arrow pointing right
Hint: An open circle means the number itself is not included. The arrow points to the numbers that work.
Answer key
- 1. 18 (Facts & Factors)
- 2. 17/8 (Mixed Numbers & Ratios)
- 3. 8.6 m (Decimal × and ÷)
- 4. 6 (Percents & Budgets)
- 5. 100 (Patterns & Graphs)
- 6. 120 (Equations)
- 7. 24 m (Perimeter & Area)
- 8. 48 cm³ (Volume & Capacity)
- 9. −7 → −5 → 6 → 8 (Integers & Decimals)
- 10. an open circle at 7 with an arrow pointing right (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.