6th grade Math practice sheet
Texas Essential Knowledge and Skills (TEKS) · from Gradelings · Name: ______________________
Question 1
Tap the integers from least to greatest.
- −6
- 8
- 5
- 7
−6 → 5 → 7 → 8
Hint: Negative numbers are less than zero. The farther below zero, the smaller the number.
Question 2
56 × 82 = 4592. Use this fact to find 5.6 × 8.2.
56 × 82 = 4592
- 45.92
- 4592
- 459.2
- 4.592
45.92
Hint: The digits come from 4592. Count the decimal places in both factors (2 in total), then move the decimal point in 4592 that many places to the left.
Question 3
How many 1/4-cup servings are in 2 cups of trail mix?
- 11
- 9
- 6
- 2
- 8
8
Hint: 2 ÷ 1/4 = 2 × 4/1.
Question 4
The ratio of wins to losses for a hockey team this season is 1:5. There are 6 wins. How many losses are there?
answer box
30
Hint: 6 wins is 1 × 6. Keep the ratio equivalent: multiply 5 by 6 too.
Question 5
Which is the better buy for granola bars: 4 for $8.00 or 7 for $10.50?
- 4 for $8.00
- 7 for $10.50
7 for $10.50
Hint: Find the price of one bar each way: $2.00 and $1.50.
Question 6
Which percent is equal to 3/4?
- 75%
- 25%
- 3%
- 4%
75%
Hint: Percent means "out of 100". Make an equivalent fraction with 100 as the denominator: multiply the top and bottom of 3/4 by 25.
Question 7
These points follow a shrinking linear pattern. If it continues, what is y when x = 4?
answer box
5
Hint: Each time x goes up by 1, y goes down by 1. Keep going from the last point, (3, 6).
Question 8
Which shows the prime factorization of 72 using powers?
- 2⁴ × 3²
- 2³ × 3³
- 2³ × 3²
- 2² × 3³
2³ × 3²
Hint: Count how many times each prime factor appears, then write that count as the exponent.
Question 9
What is the greatest common factor (GCF) of 16 and 20?
answer box
4
Hint: List the factors of each number. The GCF is the biggest number that appears in both lists.
Question 10
Evaluate 3n + 9 when n = 1.8.
3n + 9, n = 1.8
answer box
14.4
Hint: Put 1.8 in for n. Multiply first, then add.
Answer key
- 1. −6 → 5 → 7 → 8 (Integers & Decimals)
- 2. 45.92 (Decimal × and ÷)
- 3. 8 (Dividing Fractions)
- 4. 30 (Mixed Numbers & Ratios)
- 5. 7 for $10.50 (Unit Rates)
- 6. 75% (Percents & Budgets)
- 7. 5 (Patterns & Graphs)
- 8. 2³ × 3² (Powers and Common Factors)
- 9. 4 (Facts & Factors)
- 10. 14.4 (Algebra Moves)
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