6th grade Math practice sheet
New York State Learning Standards · from Gradelings · Name: ______________________
Question 1
Which of these numbers is prime?
- 27
- 49
- 57
- 53
53
Hint: A prime number has exactly two factors: 1 and itself. Test each number by dividing by 2, 3, 5 and 7. For example, 49 = 7 × 7, so 49 is not prime.
Question 2
Which mixed number is equal to 41/6?
- 6 1/6
- 5 5/6
- 7 5/6
- 6 5/6
6 5/6
Hint: Divide 41 by 6. The quotient is the number of wholes. The remainder becomes the numerator of the fraction part, over 6.
Question 3
84 × 66 = 5544. Use this fact to find 8.4 × 6.6.
84 × 66 = 5544
- 5.544
- 554.4
- 55.44
- 0.5544
55.44
Hint: The digits come from 5544. Count the decimal places in both factors (2 in total), then move the decimal point in 5544 that many places to the left.
Question 4
Sam already has $20 and saves $5 each week. A telescope costs $65. How many weeks until Sam can buy it?
answer box
9
Hint: Subtract what Sam already has from the cost to find how much is still needed. Then divide by $5.
Question 5
The points show the distance a hiker has walked (km) after each hour. Between which two hours did it change the most?
- Hour 4 to 5
- Hour 0 to 1
- Hour 2 to 3
- Hour 1 to 2
- Hour 3 to 4
Hour 3 to 4
Hint: Look for the biggest jump between neighboring points. On a line graph, that's the steepest part of the line.
Question 6
Solve for y.
y ÷ 4 = 11
answer box
44
Hint: Undo dividing: multiply both sides by 4. y = 11 × 4.
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
A rectangular prism is 3 cm long, 4 cm wide and 4 cm high. What is its volume?
answer boxcm³
48 cm³
Hint: Volume = length × width × height. Multiply two of the numbers first, then multiply by the third.
Question 9
If you spin this spinner 16 times, about how many times would you expect it to land on blue?
answer box
8
Hint: The theoretical probability of blue is blue sections ÷ 4. Find that fraction of 16: divide 16 by 4, then multiply by the number of blue sections.
Question 10
1/3 as a decimal is 0.333… Round it to the nearest hundredth.
- 0.33
- 0.34
- 0.3
0.33
Hint: Look at the third decimal place to decide how to round.
Answer key
- 1. 53 (Facts & Factors)
- 2. 6 5/6 (Mixed Numbers & Ratios)
- 3. 55.44 (Decimal × and ÷)
- 4. 9 (Percents & Budgets)
- 5. Hour 3 to 4 (Patterns & Graphs)
- 6. 44 (Equations)
- 7. 24 m (Perimeter & Area)
- 8. 48 cm³ (Volume & Capacity)
- 9. 8 (Probability)
- 10. 0.33 (Integers & Decimals)
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