Sports Day (Preparatory Stage Math)
Worksheet A: Concepts
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Asha.
Solution
Ordering by “less than” and “more than” places Asha beyond Ritu and Meena; Asha has the maximum distance in the trio.
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Steps — quick and less tedious over long ground.
Solution
Large spaces suit big repeatable units; pencil-lengths are too small; handspans fit tables, not tracks.
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Longer.
Solution
More unit-steps indicate greater length under the same measuring unit.
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Start.
Solution
Sequencing events uses “first–then”; running begins at start, ends at finish marker.
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Distance.
Solution
Relays divide the total distance into equal parts; runners and times may differ, but leg-lengths remain equal.
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Yes — off by 2 steps.
Solution
Close estimates differ slightly from actual; 2 steps from 10 is a small error in context.
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Mark A.
Solution
Fewer handspans indicate less distance; 1 is closer than 3 using the same unit.
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12, 14, 16.
Solution
Ascending order sorts by count; more steps mean more distance with same unit.
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Different — units differ in size.
Solution
Larger steps cover more ground per step; counts vary unless units are standardised.
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40 ÷ 4 = 10 steps.
Solution
Equal sharing of total distance into 4 parts gives 10 steps each leg.
Worksheet B: Computational Skills
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14 steps.
Solution
Combine equal-unit measures by addition; 8+6 totals 14 steps.
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8 steps.
Solution
Difference in steps shows how much farther one jump is than another.
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12; 5.
Solution
Doubling multiplies by 2; halving divides by 2 using unit steps consistently.
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16 steps.
Solution
Add associative parts: (4+5)+7 = 9+7 = 16 steps total.
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7 steps.
Solution
Remaining = total − covered = 18 − 11 = 7 steps to finish line.
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6, 9, 12, 14.
Solution
Compare unit counts directly for ascending ordering.
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17 steps.
Solution
Total distance covered jointly is the sum 8+9=17 steps.
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8 steps per leg.
Solution
32 ÷ 4 = 8; subtracting 8 four times reaches zero, confirming equal legs.
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1 more than best; 2 more than average (~13.3 → 13).
Solution
Best 15; target 16 → +1. Average (13+15+12)/3=13.33→≈13; 16−13≈3? If rounding to nearest step 13, then +3; if using 13.33, +2.67 ~ +3. State classroom rounding rule.
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3 handspans per big step; 12 handspans = 4 big steps.
Solution
24÷8=3 handspans/step; 12÷3=4 steps for a proportional conversion under fixed length.
Worksheet C: Problem-Solving & Modeling
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First: Parade; Last: Race.
Solution
Order times ascending: 9:00 < 9:20 < 9:45; map to events on a day timeline.
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Estimate 10 vs actual 9 — close (1 step off).
Solution
Communicating estimate quality builds sense of reasonableness with unit steps.
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Longest: Zigzag; Least: Spoon.
Solution
Compare entries; 9>8>6 gives a simple maximum/minimum identification in a table.
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Total 16 steps; Leg B covered more.
Solution
Add 7+9=16; compare 9 vs 7 to see the longer leg.
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Less — bigger unit → fewer counts.
Solution
Unit size inversely affects counts; standardising units makes fair comparisons possible.
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6 (near 5); 11 (near 10).
Solution
Distance to benchmarks supports rounding and nearest-mark reasoning on a number line.
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11, 14, 17; combined gain 6 steps.
Solution
Add +2 per member; total gain is +2×3 members = +6 steps.
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7 steps from pit; more than half covered.
Solution
20−13=7 steps remaining; 13>10, so beyond halfway point already.
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Runner 2 = 9; Runner 1 = 18; Runner 3 = 9.
Solution
Let runner 2 = x, then total = 2x + x + x = 4x = 36 → x=9; distribute steps accordingly.
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30 big steps; yes, longer than 25.
Solution
2 half-steps = 1 big step; 60 half-steps → 30 big steps; compare 30 vs 25 to judge longer distance.
Two best activities
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Measure track, pit, and lanes using steps/handspans, record estimates vs actual, and discuss why standard units help.
Solution
Teams first estimate then measure with chosen units, fill a simple table (estimate, actual, difference), and present which unit was practical and why counts differed across groups. Conclude by proposing a class “standard” step for fair comparisons.
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Model equal-leg relays on a floor number line, compute per-leg steps by division, and convert between big steps and half-steps.
Solution
Mark totals (24, 32, 40). Learners split into 3–4 equal legs and label each leg’s step count. Then set conversion tasks (e.g., 32 steps = how many half-steps?) and compare team strategies. This integrates division, addition, unit conversion, and communication.