Grade 5 Math: 10 Free Practice Questions

Answer: 3.15 inches
15.75 divided by 5 equals 3.15.

Answer: 18
Evaluate the parentheses first: 10 - 4 = 6. Then multiply: 2 × 6 = 12. Finally add: 6 + 12 = 18. Adding before multiplying (6 + 2 = 8, then 8 × 6 = 48) violates the order of operations.

Answer: 24
<p><strong>CORRECT ANSWER: 24</strong></p><ol><li>The fraction made is <span style='background:#fef08a;padding:2px 6px;border-radius:4px;font-weight:bold;'>3/5</span>.</li><li>Multiply by total attempts: (3/5) × 40 = 24.</li><li>You would predict <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>24</span> baskets.</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 fraction by total trials!</div>

Answer: 2 × (5 × n − 6)
The expression is 2 × (5 × n − 6). Translate step by step. 'The product of 5 and a number' is 5 × n. 'Subtract 6 from' that product gives 5 × n − 6. 'Then double the result' means multiply the entire quantity by 2, which requires parentheses: 2 × (5 × n − 6). This matches choice C. Choosing B forgets the parentheses, so only the product is doubled and 6 is subtracted last, changing the order the phrase requires.

Answer: 1/2
<p><strong>CORRECT ANSWER: 1/2</strong></p><ol><li>New yellow: 10 + 5 = 15.</li><li>New total: 15 + 15 = 30.</li><li>Probability is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>15/30 = 1/2</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Update counts first, then find probability.</div>

Answer: 1 2/15
<p><strong>Step-by-Step Solution:</strong></p><ol><li><strong>Identify the Problem:</strong> You need to subtract a mixed number (1 13/15) from a whole number (3). Since the 3 has no fractional part, you must regroup (borrow) before you can subtract the 13/15.</li><li><strong>Regroup from the Whole Number:</strong> Borrow 1 whole from the 3.<ul><li>The whole number 3 becomes 2.</li><li>Convert that borrowed 1 into a fraction with the same denominator as the fraction you are subtracting. Since the denominator is 15, rewrite the borrowed 1 as <strong>15/15</strong>.</li></ul>The problem is now rewritten as: 2 15/15 &minus; 1 13/15.</li><li><strong>Subtract the Components:</strong><ul><li>Fractions: 15/15 &minus; 13/15 = <strong>2/15</strong>.</li><li>Whole Numbers: 2 &minus; 1 = <strong>1</strong>.</li></ul></li></ol><p>The final answer is <strong>1 2/15</strong>.</p>

Answer: 142°
Correct Answer: 142°. Angles situated on a straight line are supplementary, meaning their sum is exactly 180°. To compute the missing measurement, subtract the provided angle from 180°: 180° - 38° = 142°.

Answer: 240 cubic centimeters
The second box has a volume of 240 cubic centimeters. First find the height of the original box: Volume = length × width × height, so 120 = 6 × 4 × height = 24 × height, giving height = 5 cm. The second box has height 2 × 5 = 10 cm, so its volume = 6 × 4 × 10 = 240 cubic centimeters. (Doubling only the height doubles the volume.) Students quadruple or otherwise mis-scale the volume, choosing 480, by doubling more than one dimension instead of only the height.

Answer: 27°
Correct Answer: 27°. According to the Triangle Angle Sum Theorem, the interior angles of a triangle always sum to 180°. To determine the missing angle, subtract the sum of the two known angles from 180°: 180° - 44° - 109° = 27°.

Answer: The claim is incorrect, since a square meets every requirement of a rectangle, including four right angles and two pairs of parallel sides
A rectangle is defined as a quadrilateral with four right angles and two pairs of parallel sides. A square satisfies all of these conditions, so every square is also a rectangle.