6th grade Math practice sheet
Minnesota K-12 Academic Standards · from Gradelings · Name: ______________________
Question 1
What is 21 ÷ 7?
21 ÷ 7 = ?
answer box
3
Hint: Think multiplication: 7 × ? = 21. Which fact do you know?
Question 2
The table shows equivalent ratios. What number replaces the ?
Paint mix Cans of blue Cans of yellow 4 3 8 6 12 9 20 ? answer box
15
Hint: Find what the known number in the last row was multiplied by, compared with the ratio 4:3. Multiply the other number by the same amount.
Question 3
Priya buys 8 bus tickets at $4.85 each. What is the total cost in dollars?
🎫$4.85 eachanswer box
38.80
Hint: Multiply the price by 8. It can help to work in cents: 485¢ × 8, then change cents to dollars (100¢ = $1).
Question 4
What percent of the bar is shaded?
answer box%
40 %
Hint: The whole bar is 100%. It has 20 equal parts, so each part is 5%. Multiply by the number of shaded parts.
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 3 to 4
- Hour 1 to 2
- Hour 4 to 5
- Hour 2 to 3
- Hour 0 to 1
Hour 1 to 2
Hint: Look for the biggest jump between neighboring points. On a line graph, that's the steepest part of the line.
Question 6
Sam had some hockey cards. After getting 29 more, Sam has 63. How many cards did Sam start with?
answer box
34
Hint: Write an equation, like n + 29 = 63. Then use the inverse operation to find n.
Question 7
A triangular sail has a base of 7 m and a height of 2 m. How much fabric covers the sail?
- 14 m²
- 9 m²
- 28 m²
- 7 m²
7 m²
Hint: Fabric covering a surface is an area question. Area of a triangle = base × height ÷ 2.
Question 8
A rectangular prism is 7 cm long, 6 cm wide and 5 cm high. What is its volume?
answer boxcm³
210 cm³
Hint: Volume = length × width × height. Multiply two of the numbers first, then multiply by the third.
Question 9
Noah flips a fair coin 50 times and gets 23 heads. Which statement is true?
- The experimental probability of heads (23/50) is lower than the theoretical probability (1/2).
- The experimental probability of heads (23/50) is higher than the theoretical probability (1/2).
- The coin must be unfair.
- The theoretical probability of heads is 23/50.
The experimental probability of heads (23/50) is lower than the theoretical probability (1/2).
Hint: Theoretical probability comes from equally likely outcomes: heads is 1 of 2. Experimental probability comes from real results, which often differ a little, especially with fewer trials.
Question 10
A diver is 21 m below sea level. Which integer shows this?
- 21
- −21
- 0
−21
Hint: Below zero, owing and losing are shown with negative integers.
Answer key
- 1. 3 (Facts & Factors)
- 2. 15 (Mixed Numbers & Ratios)
- 3. 38.80 (Decimal × and ÷)
- 4. 40 % (Percents & Budgets)
- 5. Hour 1 to 2 (Patterns & Graphs)
- 6. 34 (Equations)
- 7. 7 m² (Perimeter & Area)
- 8. 210 cm³ (Volume & Capacity)
- 9. The experimental probability of heads (23/50) is lower than the theoretical probability (1/2). (Probability)
- 10. −21 (Integers & Decimals)
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