Grade 5 Math: 10 Free Practice Questions

Answer: 36.6
Sum of all values = 183. Mean = 183 ÷ 5 = 36.6.

Answer: 3/32
She uses 3/4 of 5/8, which is (3/4) × (5/8) = 15/32 pounds used. Subtract from original amount: 5/8 - 15/32 = 20/32 - 15/32 = 5/32. Wait, recalculate: 5/8 = 20/32. 20/32 - 15/32 = 5/32. Correct answer is opt_b after verification.

Answer: 42°
Correct Answer: 42°. Subtract the known top angle from the total 180° interior sum: 180° - 96° = 84°. Because the triangle is isosceles, the two base angles are equal. Divide the remaining degrees evenly by 2: 84° ÷ 2 = 42°.

Answer: 10
<p><strong>CORRECT ANSWER: 10</strong></p><ol><li>Probability of red: 1/2.</li><li>Spins: 20.</li><li>Predict: 20 × (1/2) = <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>10</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Multiply probability by number of trials for prediction.</div>

Answer: 17
<p><strong>CORRECT ANSWER: 17</strong></p><ol><li>Check the rule: 4×2-3=5, 6×2-3=9, 9×2-3=15 — ×2 then -3.</li><li>Apply to input 10: 10×2 - 3 = 17.</li><li>The output is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>17</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Test the rule on every pair before using it!</div>

Answer: 6
3/4 x 8/1 = 24/4 = 6.

Answer: 36 cubic in
V = 6 x 2 x 3 = 36 cubic in.

Answer: 4 3/10
<p><strong>Step-by-Step Solution:</strong></p><p>Because the question asks for their <em>combined length</em>, we must add the two measurements together: 1 7/10 + 2 3/5.</p><ol><li><strong>Find a Common Denominator:</strong> The fractional parts have denominators of 10 and 5. Their least common multiple is 10.</li><li><strong>Convert the Fractions:</strong><ul><li>The fraction 7/10 remains unchanged.</li><li>Multiply the numerator and denominator of 3/5 by 2 to get <strong>6/10</strong>.</li></ul>The problem is now: 1 7/10 + 2 6/10.</li><li><strong>Add the Components:</strong><ul><li>Fractions: 7/10 + 6/10 = <strong>13/10</strong>.</li><li>Whole Numbers: 1 + 2 = <strong>3</strong>.</li></ul>This gives a preliminary answer of 3 13/10.</li><li><strong>Regroup the Improper Fraction:</strong> The fraction 13/10 is greater than 1 whole (which is 10/10).<ul><li>13/10 can be rewritten as 1 whole and 3/10 remainder (1 3/10).</li><li>Add this newly created 1 whole to your existing whole number: 3 + 1 = <strong>4</strong>.</li></ul></li></ol><p>Combining the new whole number with the remaining fraction gives a final total length of <strong>4 3/10</strong> meters.</p>

Answer: (10 - 4) / 3
The subtraction must happen first, so 10 - 4 needs parentheses before dividing by 3.

Answer: Both bags have the same probability
<p><strong>CORRECT ANSWER: Both bags have the same probability</strong></p><ol><li>Bag A: 4/10 = 2/5 green.</li><li>Bag B: 6/15 = 2/5 green.</li><li>Both have the same probability of <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>green</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Compare fractions after simplifying!</div>