6th grade Math practice sheet
California Content Standards · from Gradelings · Name: ______________________
Question 1
What is 3 × 9?
3 × 9 = ?
answer box
27
Hint: Use tens: 3 × 10 = 30, then take away one 3.
Question 2
Each whole is cut into 5 equal parts. Write the shaded amount as an improper fraction.
answer box
12/5
Hint: Count every shaded part: 2 full wholes are 10 parts, plus 2 more. Put the total over 5.
Question 3
Ravi buys 4 juice boxes at $4.85 each. What is the total cost in dollars?
🧃$4.85 eachanswer box
19.40
Hint: Multiply the price by 4. It can help to work in cents: 485¢ × 4, then change cents to dollars (100¢ = $1).
Question 4
What percent of the bar is shaded?
answer box%
90 %
Hint: The whole bar is 100%. It has 10 equal parts, so each part is 10%. Multiply by the number of shaded parts.
Question 5
Find the pattern rule. What is the output when the input is 10?
Input and output Input (n) Output 1 4 2 8 3 12 4 16 10 ? answer box
40
Hint: The output goes up by 4 each time, so the rule is 4 × n, plus or minus a fixed number. Check it with n = 1, then use n = 10.
Question 6
Solve for k.
k + 10 = 47
answer box
37
Hint: Undo adding 10: subtract 10 from both sides. k = 47 − 10.
Question 7
A parallelogram has a base of 9 m, slanted sides of 7 m, and a height of 4 m. What is its area?
answer boxm²
36 m²
Hint: Area of a parallelogram = base × perpendicular height. The slanted side is not the height.
Question 8
A fish tank is 40 cm long, 10 cm wide and 25 cm high. 1 cm³ holds 1 mL. How many liters of water does the full tank hold?
answer boxL
10 L
Hint: Find the volume in cm³, which equals the capacity in mL. Then divide by 1000 to change mL to liters.
Question 9
Which integer belongs at the ? on the number line?
- −9
- −8
- 0
−8
Hint: Numbers to the right of 0 are positive. Numbers to the left are negative.
Question 10
Evaluate 3n + 7 when n = 2.9.
3n + 7, n = 2.9
answer box
15.7
Hint: Put 2.9 in for n. Multiply first, then add.
Answer key
- 1. 27 (Facts & Factors)
- 2. 12/5 (Mixed Numbers & Ratios)
- 3. 19.40 (Decimal × and ÷)
- 4. 90 % (Percents & Budgets)
- 5. 40 (Patterns & Graphs)
- 6. 37 (Equations)
- 7. 36 m² (Perimeter & Area)
- 8. 10 L (Volume & Capacity)
- 9. −8 (Integers & Decimals)
- 10. 15.7 (Algebra Moves)
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