Fun with Numbers (Numbers 1 to 100)

Given: A ginladi (abacus-like counting tool) is shown in the image.

Concept: Count all the beads on the ginladi carefully.

Answer: A standard ginladi used in Class 2 has 100 beads in total (arranged in rows of 10, with 10 rows).

There are 100 beads in the ginladi.

Given: Blank cards are placed on the ginladi at various positions.

Concept: Count the number of beads shown on each card position and write the corresponding number.

Working: Count the beads carefully for each blank card — each row of 10 beads represents a group of ten. Count tens and ones separately and write the two-digit number.

Answer: Write the number that matches the bead count on each blank card. (For example, if a card shows 3 full rows and 4 extra beads, write 34.) Students should fill in the numbers by counting the beads on their own ginladi.

Given: Numbers — 38, 44, 58, 65, 98.

Concept: Each number is represented on the ginladi by showing the correct number of beads.

Working:
- 38 → 3 tens and 8 ones → show 3 full rows + 8 beads in the next row.
- 44 → 4 tens and 4 ones → show 4 full rows + 4 beads in the next row.
- 58 → 5 tens and 8 ones → show 5 full rows + 8 beads in the next row.
- 65 → 6 tens and 5 ones → show 6 full rows + 5 beads in the next row.
- 98 → 9 tens and 8 ones → show 9 full rows + 8 beads in the next row.

Answer: Make cards labelled 38, 44, 58, 65, and 98 and place them at the correct bead positions on the ginladi.

Given: A number strip (number line from 1 to 100) is shown. The butterfly and the pink flower are at specific positions on the strip.

Concept: Count the steps forward from the butterfly's position to the pink flower's position.

Note: The exact positions depend on the image. As a general approach — subtract the butterfly's position from the pink flower's position.

Answer: The butterfly moves forward the number of steps equal to (Pink flower's number − Butterfly's number). Students should count the steps on their number strip and fill in the blank.

Given: The honey bee, red flower, and yellow flower are at specific positions on the number strip.

Concept: Count forward steps from the honey bee's position to each flower.

Working:
- Steps to red flower = Red flower's number − Honey bee's number.
- Steps to yellow flower = Yellow flower's number − Honey bee's number.

Answer: Students should count the steps on their number strip and fill in both blanks accordingly.

Given: The squirrel starts at a position on the number strip.

Concept: Moving forward increases the number; moving backward decreases the number.

Working (assuming the squirrel starts at a position, say $S$):
- After 2 steps backward: $S - 2$
- After 5 steps forward: $S - 2 + 5 = S + 3$
- After 3 steps backward: $S + 3 - 3 = S$

Net movement = $-2 + 5 - 3 = 0$ steps.

Answer: The squirrel will reach back at its starting position (net movement is 0). Students should identify the starting number from the strip and write that number.

Given: The frog starts at a position on the number strip.

Concept: Forward = add; Backward = subtract.

Working (assuming frog starts at position $F$):
- After 2 steps forward: $F + 2$
- After 7 steps backward: $F + 2 - 7 = F - 5$
- After 3 steps backward: $F - 5 - 3 = F - 8$

Net movement = $+2 - 7 - 3 = -8$ steps.

Answer: The frog reaches the number that is 8 less than its starting position. Students should identify the frog's starting number from the strip, subtract 8, and write the answer.

Given: A number line is shown with three ants placed at specific positions (image required for exact numbers).

Concept: Read the number line carefully and identify the number each ant is sitting on.

Answer: Students should look at the number line in their book and write the number directly below/above each ant.
- Black ant is sitting on the number ___ (read from number line).
- Red ant is sitting on the number ___ (read from number line).
- Brown ant is sitting on the number ___ (read from number line).

(Typical values based on standard textbook: Black ant → 27, Red ant → 46, Brown ant → 68 — students must verify with their own number line image.)

Given: A number line from 1 to 100 (or a section of it).

Concept: Locate the number 65 on the number line.

Working: Find the position of 65 on the number line — it comes after 64 and before 66, in the sixth row of the number chart.

Answer: Draw an ant symbol (🐜) exactly at the position marked 65 on the number line.

Given: A number line from 1 to 100.

Concept: Locate the number 79 on the number line.

Working: Find the position of 79 — it comes after 78 and before 80, in the seventh row of the number chart.

Answer: Draw a sugar cube symbol at the position marked 79 on the number line.

Given: Pattern — 1, 4, 7, …

Concept: Identify the rule of the pattern.

Working:
$$4 - 1 = 3, \quad 7 - 4 = 3$$
The pattern increases by 3 each time.
$$7 + 3 = 10$$
$$10 + 3 = 13$$
$$13 + 3 = 16$$
$$16 + 3 = 19$$

Answer: 1, 4, 7, 10, 13, 16, 19

Given: Pattern — 40, 45, 50, …

Concept: Identify the rule of the pattern.

Working:
$$45 - 40 = 5, \quad 50 - 45 = 5$$
The pattern increases by 5 each time.
$$50 + 5 = 55$$
$$55 + 5 = 60$$
$$60 + 5 = 65$$
$$65 + 5 = 70$$
$$70 + 5 = 75$$

Answer: 40, 45, 50, 55, 60, 65, 70, 75

Given: Pattern — 50, 60, …

Concept: Identify the rule of the pattern.

Working:
$$60 - 50 = 10$$
The pattern increases by 10 each time.
$$60 + 10 = 70$$
$$70 + 10 = 80$$
$$80 + 10 = 90$$

Answer: 50, 60, 70, 80, 90

Given: A number chart from 1 to 100.

Concept: Skip counting in 2s means every 2nd number; skip counting in 5s means every 5th number.

Working:
- Skip counting in 2s (draw ☐): 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100.
- Skip counting in 5s (draw ▲): 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.

Answer: Draw ☐ on all even numbers and ▲ on all multiples of 5 in the number chart.

Given: Skip counting in 2s gives even numbers; skip counting in 5s gives multiples of 5.

Concept: Common numbers are those divisible by both 2 and 5, i.e., divisible by 10.

Working: Numbers common to both = multiples of 10 up to 100.

Answer: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Given: Skip counting in 2s, 3s, and 5s.

Concept: Common numbers must be divisible by 2, 3, and 5. LCM of 2, 3, 5 = 30.

Working: Multiples of 30 up to 100:
$$30, 60, 90$$

Answer: 30, 60, 90

Given: Skip counting in 5s and 7s.

Concept: Common numbers must be divisible by both 5 and 7. LCM of 5 and 7 = 35.

Working: Multiples of 35 up to 100:
$$35, 70$$

Answer: 35, 70

Given: Start at 10, jump in steps of 10.

Working: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 ✓

Answer: Yes, you will land on 100.

Given: Start at 5, jump in steps of 5.

Working: 5, 10, 15, 20, 25, 30, 35, 40 ✓

Answer: Yes, you will jump on 40.

Given: Start at 0, jump in steps of 5.

Working: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 ✓

Answer: Yes, you will jump on 55.

Given: Start at 4, jump in steps of 2.

Working: 4, 6, 8, 10, 12, 14, 16, 18, 20 …

All numbers are even. 17 is an odd number, so it will never appear.

Answer: No, you will not jump on 17 (because starting from an even number and jumping in 2s always gives even numbers, and 17 is odd).

Given: Start at 13, jump in steps of 3.

Working: 13, 16, 19, 22, 25, 28 …

24 is not in this sequence (13 + 3 = 16, 16 + 3 = 19, 19 + 3 = 22, 22 + 3 = 25 — we skip over 24).

Answer: No, you will not jump on 24.

Given: Number line / number sequence.

Working:
- Just before 10 comes $10 - 1 = 9$.
- Just before 9 comes $9 - 1 = 8$.

Answer: Just before 10 → 9; Just before 9 → 8

Given: Pattern — 40, 37, 34, …

Concept: Identify the rule.

Working:
$$40 - 37 = 3, \quad 37 - 34 = 3$$
The pattern decreases by 3 each time.
$$34 - 3 = 31$$
$$31 - 3 = 28$$
$$28 - 3 = 25$$
$$25 - 3 = 22$$

Answer: 40, 37, 34, 31, 28, 25, 22

Given: Pattern — 70, 65, 60, …

Concept: Identify the rule.

Working:
$$70 - 65 = 5, \quad 65 - 60 = 5$$
The pattern decreases by 5 each time.
$$60 - 5 = 55$$
$$55 - 5 = 50$$
$$50 - 5 = 45$$
$$45 - 5 = 40$$

Answer: 70, 65, 60, 55, 50, 45, 40

Given: Pattern — 100, 90, …

Concept: Identify the rule.

Working:
$$100 - 90 = 10$$
The pattern decreases by 10 each time.
$$90 - 10 = 80$$
$$80 - 10 = 70$$
$$70 - 10 = 60$$

Answer: 100, 90, 80, 70, 60

Given: Pattern — 100, 80, …

Concept: Identify the rule.

Working:
$$100 - 80 = 20$$
The pattern decreases by 20 each time.
$$80 - 20 = 60$$
$$60 - 20 = 40$$
$$40 - 20 = 20$$

Answer: 100, 80, 60, 40, 20

Given: 100, 90, 80, 70, 60, …

Concept: Check if there is a pattern.

Working:
$$100 - 90 = 10, \quad 90 - 80 = 10, \quad 80 - 70 = 10, \quad 70 - 60 = 10$$
Yes! There is a pattern — decreasing by 10 each time.
$$60 - 10 = 50$$
$$50 - 10 = 40$$
$$40 - 10 = 30$$
$$30 - 10 = 20$$

Answer: Yes, there is a pattern (decreasing by 10). Extended pattern: 100, 90, 80, 70, 60, 50, 40, 30, 20

Given: Rizwan starts counting from 20 and goes forward (20, 21, 22, …).

Concept: Counting forward means numbers increase.

Explanation: When we count forward from 20, we say 20, 21, 22, 23 … and so on. The numbers only get bigger. 19 is less than 20, so it has already passed.

Answer: No, Rizwan will not say 19. Because he is counting forward from 20, and 19 comes before 20. He will only say numbers that are 20 or greater.

Given: Chavi starts at 10 and counts in steps of 2 (10, 12, 14, 16, …).

Concept: Starting from an even number and adding 2 each time always gives even numbers.

Explanation: 10 is even. Adding 2 repeatedly: 10, 12, 14, 16, … all numbers are even. 43 is an odd number.

Answer: No, Chavi will not say 43. Because she is counting in twos starting from 10 (an even number), so she will only say even numbers. 43 is odd, so it will never appear in her count.

Given: Mala counts backwards from 20: 20, 19, 18, 17, … 1, 0.

Concept: Each step backward reduces the number by 1.

Working: From 20 to 0, the difference is $20 - 0 = 20$.

Answer: It will take 20 steps to reach 0. Because she counts one number at a time going backward, and there are 20 numbers between 20 and 0 (20 → 19 → 18 → … → 1 → 0).

Given: Viraaj counts backwards in twos from 20: 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0.

Concept: Each step reduces the number by 2.

Working: From 20 to 0, difference = 20. Each step = 2.
$$\text{Number of steps} = 20 \div 2 = 10$$

Sequence: 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0 → that is 10 jumps.

Answer: It will take 10 steps to reach 0. Because Viraaj jumps 2 numbers at a time, so he needs half as many steps as Mala.

Given: Number chart from 1 to 100.

Concept: The number just before any number $n$ is $n - 1$.

Working:
- Just before 10 → $10 - 1 =$ 9
- Just before 20 → $20 - 1 =$ 19
- Just before 30 → $30 - 1 =$ 29
- Just before 40 → $40 - 1 =$ 39

Pattern observed: These are 9, 19, 29, 39 — all end in the digit 9.

The pattern continues: 49, 59, 69, 79, 89, 99.

Answer: 9, 19, 29, 39, 49, 59, 69, 79, 89, 99 — all numbers ending in 9. Yes, the pattern continues for all tens.

Given: Green numbers start at 1, 12, 23, …

Concept: Find the rule.

Working:
$$12 - 1 = 11, \quad 23 - 12 = 11$$
The pattern increases by 11 each time.
$$23 + 11 = 34$$
$$34 + 11 = 45$$
$$45 + 11 = 56$$
$$56 + 11 = 67$$
$$67 + 11 = 78$$
$$78 + 11 = 89$$
$$89 + 11 = 100$$

Answer: 1, 12, 23, 34, 45, 56, 67, 78, 89, 100

Pattern: Each number increases by 11. Also, these numbers form a diagonal line on the number chart (going down-right one step each time).

Given: A number window (cross/plus shape) is placed on the number chart with centre at 28.

Concept: In the number chart, the number directly above any number $n$ is $n - 10$ (one row up).

Working:
$$28 - 10 = 18$$

Answer: The number on the top of the window is 18.

Given: Centre of window is at 28.

Concept: The number directly below $n$ is $n + 10$.

Working:
$$28 + 10 = 38$$

Answer: The number below is 38.

Given: Centre of window is at 28.

Concept: The number to the right of $n$ is $n + 1$.

Working:
$$28 + 1 = 29$$

Answer: The number on the right is 29.

Given: Centre of window is at 28.

Concept: The number to the left of $n$ is $n - 1$.

Working:
$$28 - 1 = 27$$

Answer: The number on the left is 27.

Given: The number window concept — for any centre number $n$:
- Top = $n - 10$
- Bottom = $n + 10$
- Right = $n + 1$
- Left = $n - 1$

Example 1 — Centre = 45:
- Top = $45 - 10 = 35$
- Bottom = $45 + 10 = 55$
- Right = $45 + 1 = 46$
- Left = $45 - 1 = 44$

Example 2 — Centre = 67:
- Top = $67 - 10 = 57$
- Bottom = $67 + 10 = 77$
- Right = $67 + 1 = 68$
- Left = $67 - 1 = 66$

Answer: Students should apply the same rule for each centre number given in their images.

Given: Several number windows with some numbers filled and some missing.

Concept: Use the number window rules:
- Number above centre = centre $- 10$
- Number below centre = centre $+ 10$
- Number to right = centre $+ 1$
- Number to left = centre $- 1$

Working: If the centre is known, calculate all four surrounding numbers. If a surrounding number is known, work backwards to find the centre, then fill the rest.

For example:
- If centre = 53: Top = 43, Bottom = 63, Right = 54, Left = 52.
- If centre = 76: Top = 66, Bottom = 86, Right = 77, Left = 75.

Answer: Students should identify the centre (or given number) in each window from their textbook images and fill in the missing numbers using the rules above.

Given: A sequence of shapes made of blocks is shown (image-based).

Concept: Observe the pattern of increase in the number of blocks from one shape to the next.

Working (typical staircase/L-shape pattern):
- Shape 1: 1 block
- Shape 2: 3 blocks (increase of 2)
- Shape 3: 6 blocks (increase of 3)
- Shape 4: 10 blocks (increase of 4)
- Shape 5: 15 blocks (increase of 5)

OR if it is a simple addition pattern:
- Shape 1: 1 block
- Shape 2: 2 blocks
- Shape 3: 3 blocks
- Shape 4: 4 blocks (extend by adding 1 more block each time)

Answer: Students should look at the images in their textbook, identify how many blocks are added each time, and draw the next shapes by adding the same number of blocks. The pattern should be extended for at least 2 more shapes.