Grade 4 Math: 10 Free Practice Questions

Answer: Rule: ×2+1, 6th term = 95
<p><strong>Correct Answer: 95</strong></p><ol><li>Rule: ×2 + 1.</li><li>From 47: 47 × 2 + 1 = <span style='background:#bbf7d0; padding:2px 6px; border-radius:4px; font-weight:bold;'>95</span>.</li></ol><div style='background:#dbeafe; border-left:4px solid #3b82f6; padding:10px 14px; border-radius:6px; margin-top:10px;'><strong>Remember:</strong> Apply the full rule step by step!</div>

Answer: 30,087
<p><strong>Correct Answer: 30,087</strong></p><ol><li>Add new books: 24,560 + 8,745 = 33,305.</li><li>Remove damaged: 33,305 - 3,218 = <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>30,087</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Add increases and subtract decreases step by step!</div>

Answer: 595
Multiply by place value: 7 × 85 = 595.

Answer: 24
<p><strong>CORRECT ANSWER: 24</strong></p><ol><li>Count icons for Mar.</li><li>Multiply by 6.</li><li>Value is <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>24</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Icons × key = value!</div>

Answer: 48
Length = 6×3=18 meters. Perimeter = 2×(18+6)=2×24=48 meters.

Answer: Length=6 ft, Width=6 ft
<p><strong>Correct Answer: Length = 6 ft, Width = 6 ft (the square!)</strong></p><ol><li>All four rectangles have <span style='background:#fef08a; padding:2px 6px; border-radius:4px; font-weight:bold;'>area = 36 sq ft</span>. We need the one with the <strong>smallest perimeter</strong>.</li><li>Calculate each perimeter: A (36×1): P = 2(36+1) = <strong>74 ft</strong>. B (12×3): P = 2(12+3) = <strong>30 ft</strong>. C (9×4): P = 2(9+4) = <strong>26 ft</strong>. D (6×6): P = 2(6+6) = <strong>24 ft</strong>.</li><li>Smallest perimeter = <span style='background:#bbf7d0; padding:2px 6px; border-radius:4px; font-weight:bold;'>24 ft</span> — the 6×6 square!</li><li>The closer a rectangle is to a square shape, the smaller its perimeter for the same area.</li></ol><div style='background:#dbeafe; border-left:4px solid #3b82f6; padding:10px 14px; border-radius:6px; margin-top:10px;'><strong>Remember:</strong> For a fixed area, the square always has the smallest perimeter of all rectangles!</div>

Answer: 192 books each, 0 left over
<p><strong>Correct Answer: 192 books each, 0 left over</strong></p><ol><li>Total books: 56 × 24 = 1,344.</li><li>Per school: 1,344 ÷ 7 = <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>192</span>, remainder 0.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Divide total by number of schools to find equal share!</div>

Answer: 49 R1
Divide: 295 ÷ 6. Since 6 × 49 = 294 and 295 − 294 = 1, the quotient is 49 with a remainder of 1. The remainder 1 is less than the divisor 6, so the division is complete.

Answer: 2
<p><strong>Correct Answer: 2 lines of symmetry</strong></p><ol><li>A rectangle (not a square) has two different side lengths.</li><li><strong>Line 1 — Vertical:</strong> a line through the midpoints of the top and bottom sides splits the rectangle into two equal halves ✓.</li><li><strong>Line 2 — Horizontal:</strong> a line through the midpoints of the left and right sides also splits it into two equal halves ✓.</li><li>Diagonal lines do <em>not</em> work for a non-square rectangle — if you fold diagonally, the corners do not line up.</li><li>Total: <span style='background:#bbf7d0; padding:2px 6px; border-radius:4px; font-weight:bold;'>2 lines of symmetry</span>. (A square has 4 because diagonals work too!)</li></ol><div style='background:#dbeafe; border-left:4px solid #3b82f6; padding:10px 14px; border-radius:6px; margin-top:10px;'><strong>Remember:</strong> A non-square rectangle has exactly 2 lines of symmetry — one vertical, one horizontal through the midpoints!</div>

Answer: 2 2/3
<p><strong>Correct Answer: 2 2/3</strong></p><ol><li>Borrow 1 whole since 1/3 < 2/3: 5 1/3 = 4 4/3.</li><li>Fractions: 4/3 − 2/3 = 2/3.</li><li>Wholes: 4 − 2 = 2.</li><li>Total: <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>2 2/3</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Borrow a whole when the fraction part is too small!</div>