Grade 5 Math: 10 Free Practice Questions

Answer: 185
<p><strong>Correct Answer: 185</strong></p><ol><li>Start with 500 liters.</li><li>Loses 35 liters × 9 days = 315.</li><li><strong>500 - 315 = 185</strong>.</li></ol><div style='background:#dbeafe; border-left:4px solid #3b82f6; padding:10px 14px; border-radius:6px; margin-top:10px;'><strong>Remember:</strong> Multiply the daily change then subtract!</div>

Answer: 18
6 ÷ 1/3 = 6 x 3 = 18.

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: 1/2
Dividing 3/6 by the common factor 3 gives 1/2. Checking by cross-multiplication: 3 x 2 = 6 and 6 x 1 = 6.

Answer: No, because the digits add up to 7, and 7 is not divisible by 3
<p><strong>CORRECT ANSWER: No, because the digits add up to 7, and 7 is not divisible by 3</strong></p><ol><li>Add all the digits of 502: 5 + 0 + 2.</li><li>The sum is <span style='background:#fef08a;padding:2px 6px;border-radius:4px;font-weight:bold;'>7</span>, and 7 is not divisible by 3.</li><li>So 502 is not divisible by 3 — the answer is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>No, because the digits add up to 7, and 7 is not divisible by 3</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> A number is divisible by 3 if the sum of its digits is divisible by 3.</div>

Answer: 4
<p><strong>Step-by-step Solution:</strong></p><ol><li>First, substitute the given numerical value (7) for the variable (k) in the algebraic expression: (7 + 5) &divide; 3.</li><li>Apply the standard order of operations (PEMDAS/BODMAS), ensuring operations within parentheses are evaluated first: (7 + 5) = 12.</li><li>Perform the final division operation: 12 &divide; 3 = 4.</li></ol>

Answer: 312 sq units
<p><strong>CORRECT ANSWER: 312 sq units</strong></p><ol><li>Use the formula for the <span style='background:#fef08a;padding:2px 6px;border-radius:4px;font-weight:bold;'>area</span> of a rectangle: length × width.</li><li>Multiply the dimensions: 24 × 13 = 312.</li><li>The area is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>312 sq units</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Area is length times width and uses square units!</div>

Answer: 336 cubic units
<p><strong>CORRECT ANSWER: 336 cubic units</strong></p><ol><li>Use the <span style='background:#fef08a;padding:2px 6px;border-radius:4px;font-weight:bold;'>volume</span> formula: length × width × height.</li><li>First 14 × 4 = 56, then 56 × 6 = 336.</li><li>The volume is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>336 cubic units</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Volume of a rectangular prism is length × width × height in cubic units!</div>

Answer: 13
<p><strong>Step 1: Round Each Number</strong></p><ul><li>Look at <strong>18.7</strong>. The tenths place is 7, so round up to <strong>19</strong>.</li><li>Look at <strong>6.3</strong>. The tenths place is 3, so round down to <strong>6</strong>.</li></ul><p><strong>Step 2: Subtract the Rounded Numbers</strong></p><p>19 − 6 = <strong>13</strong></p><p>The estimated difference is 13.</p>

Answer: Square
A quadrilateral with two pairs of parallel sides, four right angles, and four congruent sides satisfies the definitions of parallelogram, rectangle, rhombus, and square, so the most specific classification is square.