6th grade Math practice sheet
Arizona Academic Standards · from Gradelings · Name: ______________________
Question 1
What is 8 × 9?
8 × 9 = ?
answer box
72
Hint: Use tens: 8 × 10 = 80, then take away one 8.
Question 2
The table shows equivalent ratios. What number replaces the ?
Paint mix Cans of blue Cans of yellow 5 2 10 4 15 6 35 ? answer box
14
Hint: Find what the known number in the last row was multiplied by, compared with the ratio 5:2. Multiply the other number by the same amount.
Question 3
Which is the best estimate for 3.71 × 4.3?
- 1600
- 16
- 1.6
- 160
16
Hint: Round each number to the nearest whole number, then multiply: 4 × 4. Check that the size of the answer makes sense.
Question 4
A pair of running shoes costs $20. It is on sale for 25% off. What is the sale price?
👟25% off- $15
- $25
- $5
- $10
$15
Hint: First find the discount: 25% of $20. Then subtract the discount from the original price.
Question 5
Find the pattern rule. What is the output when the input is 13?
Input and output Input (n) Output 1 5 2 10 3 15 4 20 13 ? answer box
65
Hint: The output goes up by 5 each time, so the rule is 5 × n, plus or minus a fixed number. Check it with n = 1, then use n = 13.
Question 6
Zoe had some money, spent $18 on a book, and has $4 left. Which equation could find n, the amount Zoe started with?
- n ÷ 18 = 4
- 18n = 4
- n + 18 = 4
- n − 18 = 4
n − 18 = 4
Hint: Ask what happens to the unknown amount n: is something added to it, taken away, multiplied or shared? Write that action with n.
Question 7
A parallelogram has a base of 8 m, slanted sides of 14 m, and a height of 11 m. What is its area?
answer boxm²
88 m²
Hint: Area of a parallelogram = base × perpendicular height. The slanted side is not the height.
Question 8
Which unit is best for measuring a spoonful of medicine?
- liters (L)
- meters (m)
- kilograms (kg)
- milliliters (mL)
milliliters (mL)
Hint: A spoon holds a tiny amount of liquid, so use a small capacity unit.
Question 9
Round 7.134 to the nearest tenth.
- 7.1
- 7.2
- 7.0
7.1
Hint: Look at the digit just after the place you are rounding to. 5 or more, round up.
Question 10
Which shows the solution to n > 2 on a number line?
- a closed 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 right
an open circle at 2 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. 72 (Facts & Factors)
- 2. 14 (Mixed Numbers & Ratios)
- 3. 16 (Decimal × and ÷)
- 4. $15 (Percents & Budgets)
- 5. 65 (Patterns & Graphs)
- 6. n − 18 = 4 (Equations)
- 7. 88 m² (Perimeter & Area)
- 8. milliliters (mL) (Volume & Capacity)
- 9. 7.1 (Integers & Decimals)
- 10. an open circle at 2 with an arrow pointing right (Algebra Moves)
Want more than 10 questions?
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