6th grade Math practice sheet
Maine Learning Results · from Gradelings · Name: ______________________
Question 1
Ravi has 49 red beads and 28 blue beads. Ravi wants to pack them into identical bags with nothing left over. What is the greatest number of bags Ravi can make?
- 7
- 28
- 4
- 2
7
Hint: Identical bags with nothing left over means the number of bags must divide both 49 and 28. Find the greatest common factor.
Question 2
Which mixed number is equal to 31/6?
- 4 1/6
- 1 5/6
- 5 5/6
- 5 1/6
5 1/6
Hint: Divide 31 by 6. The quotient is the number of wholes. The remainder becomes the numerator of the fraction part, over 6.
Question 3
What is 1.76 ÷ 8?
1.76 ÷ 8 = ?
answer box
0.22
Hint: Think of 1.76 as 176 hundredths. Divide: 176 ÷ 8 = 22 hundredths. Then write that as a decimal.
Question 4
A board game costs $30. It is on sale for 40% off. What is the sale price?
🎲40% off- $12
- $6
- $18
- $42
$18
Hint: First find the discount: 40% of $30. Then subtract the discount from the original price.
Question 5
What number comes next in the pattern?
60, 52, 44, 36,
answer box
28
Hint: Find the change from one number to the next. Each number goes down by the same amount.
Question 6
What is 20 + 7 × 6?
20 + 7 × 6 = ?
answer box
62
Hint: Order of operations: brackets first, then × and ÷ from left to right, then + and − from left to right. Multiply first: 7 × 6 = 42. Then add 20.
Question 7
A triangle and a parallelogram have the same base and the same height. How do their areas compare?
- Their areas are equal
- The triangle's area is half the parallelogram's
- The triangle's area is double
- The triangle's area is one quarter
The triangle's area is half the parallelogram's
Hint: Two copies of the triangle fit together to make a parallelogram with the same base and height.
Question 8
A box has a volume of 80 cm³. It is 4 cm long and 4 cm wide. How high is it?
answer boxcm
5 cm
Hint: Volume = length × width × height. The base is 4 × 4 = 16 cm², so divide the volume by 16.
Question 9
Which is greater, −8 or −4?
- −4
- −8
−4
Hint: On a number line, the number farther to the right is greater.
Question 10
Evaluate 9n − 1 when n = 6.
9n − 1, n = 6
answer box
53
Hint: Put 6 in for n. Multiply first, then subtract.
Answer key
- 1. 7 (Facts & Factors)
- 2. 5 1/6 (Mixed Numbers & Ratios)
- 3. 0.22 (Decimal × and ÷)
- 4. $18 (Percents & Budgets)
- 5. 28 (Patterns & Graphs)
- 6. 62 (Equations)
- 7. The triangle's area is half the parallelogram's (Perimeter & Area)
- 8. 5 cm (Volume & Capacity)
- 9. −4 (Integers & Decimals)
- 10. 53 (Algebra Moves)
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