CLASS 3 MATHS WORKSHEET LESSON 8

Fair Share (Preparatory Stage Math)

Concepts • Computational Skills • Problem-Solving & Modeling • 10 questions each • 40% Easy, 40% Average, 20% Challenging • One toggle shows Answer + Solution

Worksheet A: Concepts

Easy

Q1. Two friends share a paratha equally. What is each share called, and how many such shares make the whole?

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Answer

Each share is a half; two halves make one whole.

Solution

When one whole is shared equally between two, each part is a half; folding checks if parts match exactly in size.

Easy

Q2. A chocolate is cut into two pieces that do not match when folded. Are they equal halves? State why or why not in one phrase.

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Answer

No; unequal sizes fail the fold-match test.

Solution

Equal halves must coincide on folding; different areas mean not equal halves.

Easy

Q3. Circle the idea that shows a half of a shape: “one of two equal parts” or “any one of two parts” (choose one phrase only).

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Answer

One of two equal parts.

Solution

Equality is essential; halves mean two equal shares, not just two pieces.

Easy

Q4. When one whole is shared equally among four people, what is each share called, and how many such shares make a whole?

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Answer

A quarter; four quarters make a whole.

Solution

Equal four-way sharing gives quarters; combining all four returns the whole item.

Average

Q5. A chikki has bites from three sides; decide if more than half, half, or less than half is left (choose one and justify in a phrase like “area left”).

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Answer

Less than half (area left is under half).

Solution

Multiple bites reduce area significantly; compare with a half-region of same shape to judge.

Average

Q6. Draw or imagine a line that shows one-half of a rectangle in two different ways (name the lines: vertical/ horizontal or along a diagonal for a square-like case).

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Answer

Vertical or horizontal midline across the rectangle.

Solution

Midlines split equal areas; for special cases like a square, diagonals also give two equal halves.

Average

Q7. Fold a circular roti to check halves. What two facts do the folds reveal about halves and the center point (one short sentence each)?

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Answer

Fold-line splits equal halves; fold-lines cross at the center.

Solution

Diameters formed by folding show equal areas; their intersection marks the center for symmetry checks.

Average

Q8. Old man’s sharing: tree with fruits, a solar lamp, and a blanket. Suggest a fair way to share each item between two brothers (one sentence for each object, focusing on fairness of use/benefit).

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Answer

Share fruits equally each season; rotate lamp nightly or share by hours; split blanket use fairly by need, not only by seasons.

Solution

Fairness matches equal benefit over time, not just dividing objects in name; agreements must balance actual use.

Challenging

Q9. Show three different ways to make half of the same rectangle using straight lines (describe positions like “through midpoints of opposite sides”).

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Answer

Vertical midline; horizontal midline; for squares, a diagonal also makes halves.

Solution

Lines through midpoints of opposite sides make equal-area halves; special symmetry allows diagonals for squares.

Challenging

Q10. A shape shows four equal small parts; two are shaded. Name the fraction shaded in “quarters” language and say whether it equals a half or not (one sentence).

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Answer

Two quarters are shaded; this equals one half.

Solution

2 out of 4 equal parts is one half; “two quarters” and “one half” represent the same share.

Worksheet B: Computational Skills

Easy

Q1. Fill with “half” or “double”: 3 is __ of 6; 6 is __ of 3; 10 is __ of 5; 5 is __ of 10 (write four words in order).

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Answer

half; double; double; half.

Solution

Halving and doubling are inverse moves: 3↔6 and 5↔10 show the pair relations clearly.

Easy

Q2. How many halves make one whole, and how many quarters make one whole (answer as two numbers separated by a comma)?

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Answer

2, 4.

Solution

Two halves combine to a whole; four equal quarters also complete the whole item.

Easy

Q3. Shade exactly half of a rectangle and half of a circle in two different ways (describe the cut lines in words only: “vertical midline,” “horizontal midline”).

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Answer

Rectangle: vertical or horizontal midline; Circle: fold-line/diameter across center.

Solution

Equal-area halves come from midlines; for circles any diameter through the center splits halves.

Easy

Q4. Tick shapes that show half shaded correctly: name two that clearly have one of two equal parts shaded (write “rectangle with midline, circle with diameter” in words if no figures).

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Answer

Rectangle split through midpoint; circle split through center (diameter).

Solution

Visual check: equal areas on both sides of the line; folding verifies exact matching halves.

Average

Q5. Colour three-quarters of a 4-equal-part shape (describe which three quarters to shade, e.g., “shade three adjacent quarters on a rectangle split into 4”). State the unshaded fraction too in words once.

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Answer

Shade any three of the four quarters; unshaded is one quarter.

Solution

Three quarters means 3 out of 4 equal parts shaded; remaining part is a quarter of the whole.

Average

Q6. Complete the other half: a picture shows one half of a butterfly; describe how to draw the matching half using the fold/mirror idea in 2–3 steps (words only, no drawing required).

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Answer

Mark a midline; copy each point the same distance across; join to mirror the curves.

Solution

Use symmetry: reflect positions across the midline to create equal halves forming the whole.

Average

Q7. On a number line, how far is 13 from double of 7, and how far is 5 from half of 14 (write two distances only, separated by a comma)?

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Answer

1, 2.

Solution

Double of 7 is 14, distance 1 from 13; half of 14 is 7, distance 2 from 5; distances are simple differences on the line.

Average

Q8. Fill with “half” or “double” for marble counts: 12 is __ of 6; 6 is __ of 12; 4 is __ of 8; 8 is __ of 4 (write four words in order).

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Answer

double; half; half; double.

Solution

Multiplying by 2 doubles, dividing by 2 halves; pairs invert one another consistently.

Challenging

Q9. Choose the correct description for “two quarters”: “same as one half” or “less than one half” (choose one phrase and justify in a few words like “2 of 4 equals 1 of 2”).

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Answer

Same as one half.

Solution

Two of four equal parts equal one of two equal parts; both represent half the whole.

Challenging

Q10. A strip is divided into 8 equal squares; shade a fraction equal to one half in two different ways (describe positions, e.g., “shade squares 1–4” and “shade squares 2,3,6,7” show 4 of 8). Name the fraction each time in words once.

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Answer

Shade any 4 of 8 squares (e.g., first 4, or 2,3,6,7); this is four-eighths, equal to one half.

Solution

Four-eighths represents half; arrangement can vary while keeping count and equality.

Worksheet C: Problem-Solving & Modeling

Easy

Q1. Share 10 mangoes equally between two children. How many does each get, and what is each share called (answer both parts in one line)?

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Answer

5 each; each share is a half of 10 mangoes.

Solution

Equal sharing into two piles gives 5 and 5; each pile is half the total amount shared.

Easy

Q2. Colour a quarter of a roti; name how many such quarters make the whole roti (write the number in words at the end once).

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Answer

Shade one of four equal sectors; four quarters complete the whole roti.

Solution

Divide into four equal parts, shade one; four such equal shares rebuild the whole item.

Easy

Q3. Decide if the sharing is fair: One keeps the lamp at night, the other in day. Is the light benefit equal? Give a better plan in one phrase (e.g., “alternate nights”).

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Answer

Not necessarily fair; alternate nights or share by hours needed.

Solution

Equal benefit over time needs use-based sharing, not just splitting by time labels.

Easy

Q4. Complete the whole: a half-picture of a leaf is given. Describe how to plot 3 matching points across the midline to finish the other half (words only, mirror at equal distance).

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Answer

Mark the midline; for each point, plot a partner the same distance opposite; join smoothly.

Solution

Mirror construction recreates the missing half, ensuring equal halves form the complete leaf.

Average

Q5. Half or double? “I have 12 marbles; you have 6.” Who has double whose amount? State both relations in one line using half/double words correctly once each.

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Answer

12 is double of 6; 6 is half of 12.

Solution

Doubling from 6 gives 12; halving 12 gives 6; the pair shows inverse relations.

Average

Q6. A rectangle is split into 4 equal parts. Shade three-quarters and write the unshaded fraction in words once at the end (one phrase only, like “one quarter”).

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Answer

Unshaded is one quarter.

Solution

Three of four equal parts shaded leave one equal part unshaded, a quarter of the whole.

Average

Q7. Use halves/doubles on a number line: Starting from 6, go to double and then one less; starting from 14, go to half and then two more. Write the two final numbers separated by a comma once only.

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Answer

11, 9.

Solution

Double of 6 is 12; one less is 11. Half of 14 is 7; two more is 9; simple step moves around halves/doubles.

Average

Q8. A strip is divided into 4 equal boxes. Shade two non-adjacent boxes to show a half in a different way, and name the fraction in words once at end (e.g., “two quarters”).

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Answer

Select any two apart (e.g., boxes 1 and 3); that is two quarters, equal to one half.

Solution

Half depends on count and equality of parts, not their positions; 2 of 4 equals half the whole.

Challenging

Q9. Decide the correct option by clues: “Less than double of 3 marbles, more than half of 8 marbles.” Circle 4, 5, or 6 marbles (choose one and justify briefly in words like “between 4 and 6”).

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Answer

5 marbles.

Solution

Double of 3 is 6; choice must be less than 6. Half of 8 is 4; must be more than 4; only 5 fits both clues.

Challenging

Q10. Tick shapes that show three-quarters shaded correctly and explain one quick check in words (e.g., “one unshaded quarter remains”). Then name “how many quarters make a whole” once at the end in words only.

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Answer

Three-quarters shaded means one equal quarter unshaded; four quarters make a whole.

Solution

Count equal parts and shaded ones; 3 of 4 indicates three-quarters; leaving 1 of 4 unshaded is a quick visual test.

Two best activities

Activity 1: Paper-Folding Halves and Quarters Lab

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Answer

Fold circles, rectangles, and squares to make halves and quarters; mark fold-lines and check equal parts by superimposing.

Solution

Give pre-cut shapes. Learners fold to make 2 and 4 equal parts, trace fold-lines, and shade asked fractions. They verify equality by overlapping folds and discuss “how many halves/quarters make a whole,” building concrete understanding of equal shares.

Activity 2: Half–Double Number Line Walk

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Answer

Walk a floor number line to do “half” and “double” tasks with quick distances to targets like 5 from half of 14 and 13 from double of 7.

Solution

Tape a 0–20 line. Call prompts: “Go to double of 7, then step back 1”; “Stand at half of 14, jump forward 2.” Learners announce landings and differences, connecting fair share language (half) with movement on the number line for reasoning and communication.