CLASS 4TH MATHS WORKSHEET LESSON 10.

Preparatory Stage Mathematics — Combined Worksheets (NCERT/KVS/CBSE)

Skills: mathematization, pattern recognition, visualization, reasoning, communication, real‑world modelling. Format: 3 sections × 10 questions; 40% Easy, 40% Average, 20% Challenging.

Section A: Number Sense & Computation

Focus: place value, mental strategies (make‑10, near‑ten), estimation, game reasoning

1. Count by 2s: 2, 4, 6, 8, __, __, __ Easy
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   10, 12, 14

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   Add 2 each time: 8→10→12→14.
2. Make 10: __ + 7 = 10 Easy
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   3

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   10 − 7 = 3 (complement to ten).
3. Compare: 29 □ 32 (<, =, >) Easy
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   29 < 32

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   32 − 29 = 3, so 29 is smaller.
4. Mental addition: 40 + 9 = ? Easy
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   49

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   Think 40 + 10 − 1 = 49.
5. Pattern: 10, 20, 30, 40, __, __ Average
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   50, 60

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   Add 10 each step.
6. Find missing addend: 36 + __ = 50 Average
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   14

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   50 − 36 = 14; bridge to 40 (+4), then +10.
7. Subtract: 52 − 19 = ? Average
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   33

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   52 − 20 = 32; add back 1 = 33 (near‑ten).
8. Estimate (nearest ten): 47 + 35 ≈ ? Average
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   80

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   47→50; 35→30; 50 + 30 = 80.
9. Reverse‑and‑add: Pick a 2‑digit number (not ending 0), add its reverse. What do you notice? Challenging
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   Many sums are multiples of 11 (e.g., 27+72=99).

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   If number is ab (10a+b), reverse is ba (10b+a). Sum = 11(a+b) → multiple of 11.
10. Target‑10 game (add 1 or 2 each turn). From total 7 on your turn, can you force a win? Explain. Challenging
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    Yes—play 2 to make 9; you win next move.

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    Safe totals are 1, 4, 7, 10. From 7→9; whatever opponent plays (1 or 2), you reach 10 next.

Section B: Patterns & Visualization

Focus: number/shape patterns, addition‑table insights, parity, number line

1. Fill in: □, 5, 7, 9, 11 (counting by 2s). What is □? Easy
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   3

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   Go back two steps in +2 pattern: 11→9→7→5→3.
2. Even or odd? 18 is __, 23 is __ Easy
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   18 even; 23 odd

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   Even ends in 0,2,4,6,8; odd ends in 1,3,5,7,9.
3. Shape pattern: ▲ ▲ ■ ▲ ▲ ■ ▲ ▲ __ Easy
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   ■

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   Repeats every 3: two ▲ then one ■.
4. Corners count: Triangle, Rectangle, Pentagon Easy
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   3, 4, 5

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   Corners = vertices: 3, 4, 5 respectively.
5. Addition chart (0–12): How many ordered pairs make sum 9? Average
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   10 pairs

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   0+9 to 9+0 → 10 ordered pairs (complements to 9).
6. Window frame sums: For a and a+1 side‑by‑side, sum = ? What about stacked? Average
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   2a+1 in both cases

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   (a)+(a+1)=2a+1 horizontally or vertically; opposite cells in a 2×2 share equal sums.
7. Which row/column in an addition table can have only even sums? Briefly explain. Average
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   Even addend paired only with even entries.

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   Parity rules: even+even=even; even+odd=odd. Entirely even occurs when both sides restricted to even values.
8. Number line: Start at 6, make three jumps of +4. Land at __. Average
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   18

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   6→10→14→18 (total +12).
9. Reverse‑sum target: List 2‑digit numbers that with their reverse make 88. Challenging
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   19/91, 28/82, 37/73, 46/64, 55/55, 64/46, 73/37, 82/28, 91/19

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   ab+ba=11(a+b)=88 ⇒ a+b=8. Enumerate all digit pairs with sum 8.
10. Parity grid puzzle: Place digits 1–9 in a 3×3 so adjacent differ by odd. Possible? Challenging
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    Yes—alternate parity on adjacent cells.

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    Odd−even is odd; even−even or odd−odd is even. Checkerboard parity layout satisfies the rule.

Section C: Real‑world Modelling & Reasoning

Focus: contexts (animals, visitors, vehicles, juices), estimation, multi‑step relations

1. Park visitors: Morning 120, evening 80. Total? Easy
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   200

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   120 + 80 = 200.
2. Mangoes 36; used 9. Left? Easy
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   27

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   36 − 9 = 27.
3. Which is more and by how much: 145 or 154? Easy
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   154 by 9

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   154 − 145 = 9.
4. Round to nearest ten: 47 ≈ __, 64 ≈ __ Easy
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   50; 60

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   47 closer to 50; 64 closer to 60.
5. Elephants: Karnataka 6049; Kerala 3054. Total? (Estimate first) Average
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   9103 (estimate ≈ 9000)

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   6049 + 3054 = 9103; estimate 6000 + 3000 = 9000.
6. Leopards: Gujarat 1355; Karnataka 1131; MP 1817. Total? Average
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   4303

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   1355 + 1131 = 2486; 2486 + 1817 = 4303.
7. Tigers: Maharashtra 444; MP has 341 more. MP count? Average
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   785

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   444 + 341 = 785.
8. Visitors: December 8591; December − November = 2176; November = October + 1587. Find October. Average
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   4828

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   November = 8591 − 2176 = 6415; October = 6415 − 1587 = 4828.
9. Juice factory: Guava=3000; Orange is 1257 more than guava; Passion is 1417 more than orange. Find all and compare (Guava+Orange) vs Passion. Challenging
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   Orange 4257; Passion 5674; G+O=7257 > Passion by 1583

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   Orange=3000+1257=4257; Passion=4257+1417=5674; G+O=7257; 7257−5674=1583.
10. Vehicles: Jeeps=6304; Buses are 253 more than jeeps; Tractors are 5247 less than buses; Taxis are 1579 more than tractors. Find all and order least→greatest. Challenging
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    Buses 6557; Tractors 1310; Taxis 2889; Order: 1310, 2889, 6304, 6557

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    Buses=6304+253=6557; Tractors=6557−5247=1310; Taxis=1310+1579=2889; sort ascending.

Teacher Tips: Ask students to write or explain strategies (make‑10, near‑ten, complements). In pattern tasks, identify the repeating unit; in data tasks, estimate first then compute exactly. For the target‑10 game, list “safe numbers” and justify moves.