Grade 5 Math: 10 Free Practice Questions

Answer: 3
Step 1: total juice in milliliters (7 liters × 1000) = 7000 Step 2: how many full 300 ml bottles can be filled (7000 ÷ 300) = 23 Step 3: juice left over after filling those bottles (7000 − 23 × 300) = 100 Step 4: bottles each of 7 people gets if they're shared equally, ignoring leftovers (23 ÷ 7) = 3 So the answer is 3 — bottles per person.

Answer: Board A
<p><strong>CORRECT ANSWER: Board A</strong></p><ol><li>Convert 2 9/20 to decimal: 2 + 9÷20 = 2.45.</li><li>Compare 2.46 and 2.45 — 2.46 is larger.</li><li>Board A is longer so the answer is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>Board A</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Convert mixed numbers to decimals to compare easily!</div>

Answer: 9
<p><strong>CORRECT ANSWER: 9</strong></p><ol><li>Count the leaves: 3 + 4 + 2.</li><li>Total leaves: <span style='background:#fef08a;padding:2px 6px;border-radius:4px;font-weight:bold;'>9</span>.</li><li>There are 9 data values.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Each leaf is one data value!</div>

Answer: It is divisible by 3 only — not 2, 5, or 10
<p><strong>CORRECT ANSWER: It is divisible by 3 only — not 2, 5, or 10</strong></p><ol><li>777 is odd so not divisible by 2, 5, or 10.</li><li>Digits sum to <span style='background:#fef08a;padding:2px 6px;border-radius:4px;font-weight:bold;'>21</span> which is divisible by 3.</li><li>The answer is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>It is divisible by 3 only — not 2, 5, or 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> Check the ones digit for 2, 5, 10 and digit sum for 3.</div>

Answer: 72 cubes
Exactly 72 cubes fill the box. Along each edge, divide by the cube's edge length: 12 ÷ 2 = 6 cubes long, 8 ÷ 2 = 4 cubes wide, 6 ÷ 2 = 3 cubes high. Multiply: 6 × 4 × 3 = 72 cubes. (Check: box volume 12 × 8 × 6 = 576 cubic cm; each cube is 2 × 2 × 2 = 8 cubic cm; 576 ÷ 8 = 72.) Students often compute the box's volume (576 cubic cm) and report that as the number of cubes, forgetting that each cube occupies 8 cubic cm rather than 1.

Answer: 15
Correct Answer: 15. The median is the precise middle numerical value in an ordered dataset. First, sequentially arrange the data points from lowest to highest: 7, 9, 11, 15, 18, 22, 30. Identify the central number, which in this odd-numbered set is 15.

Answer: (5, 8)
East corresponds to the x-direction and north corresponds to the y-direction, so the point is (5, 8), with the x-coordinate listed first.

Answer: 3
Step 1: total juice in milliliters (5 liters × 1000) = 5000 Step 2: how many full 300 ml bottles can be filled (5000 ÷ 300) = 16 Step 3: juice left over after filling those bottles (5000 − 16 × 300) = 200 Step 4: bottles each of 5 people gets if they're shared equally, ignoring leftovers (16 ÷ 5) = 3 So the answer is 3 — bottles per person.

Answer: $8.40
3.5 x 2.40 = 8.40, so Maria spends $8.40.

Answer: Trapezoid
A trapezoid is defined as a quadrilateral with exactly one pair of parallel sides.