Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Let’s solve each problem step by step. We’re told that the numbers are in proportion, which means the ratio between the two quantities stays the same across all columns.

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Problem (1): Boys and Girls

We have this table:

| Number of boys | 15 | ? | 20 | 55 | ? | 35 | ? |
|----------------|----|----|----|----|----|----|----|
| Number of girls| ? | 8 | ? | 44 | 20 | ? | 4 |

We need to find the missing values so that the ratio of boys to girls is constant.

Let’s pick a column where both numbers are known — for example, boys = 55, girls = 44.

So the ratio of boys to girls is:
55 : 44

Simplify it: divide both by 11 → 5 : 4

That means for every 5 boys, there are 4 girls.

Now use this ratio to fill in the blanks.

#### Column 1: Boys = 15 → Girls = ?
If 5 parts = 15, then 1 part = 3 → 4 parts = 12
→ Girls = 12

#### Column 2: Girls = 8 → Boys = ?
If 4 parts = 8, then 1 part = 2 → 5 parts = 10
→ Boys = 10

#### Column 3: Boys = 20 → Girls = ?
5 parts = 20 → 1 part = 4 → 4 parts = 16
→ Girls = 16

#### Column 5: Girls = 20 → Boys = ?
4 parts = 20 → 1 part = 5 → 5 parts = 25
→ Boys = 25

#### Column 6: Boys = 35 → Girls = ?
5 parts = 35 → 1 part = 7 → 4 parts = 28
→ Girls = 28

#### Column 7: Girls = 4 → Boys = ?
4 parts = 4 → 1 part = 1 → 5 parts = 5
→ Boys = 5

✔ So completed table for (1):

| Boys | 15 | 10 | 20 | 55 | 25 | 35 | 5 |
|------|----|----|----|----|----|----|----|
| Girls| 12 | 8 | 16 | 44 | 20 | 28 | 4 |

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Problem (2): Eggs and Flour for Cake

Table:

| Eggs | 3 | 9 | ? | 33 | ? | 39 | ? |
|------|----|----|----|----|----|----|----|
| Flour(kg)| 0.5 | ? | 1 | ? | 2 | ? | 2.5|

Find the proportion. Use first column: 3 eggs → 0.5 kg flour

Ratio: eggs : flour = 3 : 0.5

Multiply both by 2 to make it easier: 6 : 1

So for every 6 eggs, you need 1 kg flour.

Or, per egg: 0.5 / 3 = 1/6 kg flour per egg.

Let’s use “eggs = 6 × flour” or “flour = eggs ÷ 6”

Check with third column: flour = 1 → eggs should be 6 → yes!

Fifth column: flour = 2 → eggs = 12

Seventh column: flour = 2.5 → eggs = 15

Now fill in:

#### Column 2: Eggs = 9 → Flour = 9 ÷ 6 = 1.5

#### Column 4: Eggs = 33 → Flour = 33 ÷ 6 = 5.5

#### Column 6: Eggs = 39 → Flour = 39 ÷ 6 = 6.5

✔ Completed table for (2):

| Eggs | 3 | 9 | 6 | 33 | 12 | 39 | 15 |
|------|----|----|----|----|----|----|----|
| Flour| 0.5|1.5 | 1 |5.5 | 2 |6.5 |2.5 |

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Problem (3): Kilometers and Time (same pace)

Table:

| Km | 7 | 6 | ? | 15 | ? | 3 | ? |
|------|----|----|----|----|----|----|----|
| Time | ? | 39 | 65 | ? | 26 | ? |71.5|

Same pace → distance and time are proportional.

Pick a known pair: 6 km → 39 minutes

So speed = 39 min / 6 km = 6.5 minutes per km

OR, km per minute = 6/39 = 2/13 → but easier to use time = 6.5 × km

Check: if km = 6 → time = 6.5 × 6 = 39 ✔️

Use formula: Time = 6.5 × Kilometers

Or rearranged: Kilometers = Time ÷ 6.5

Now fill in:

#### Column 1: Km = 7 → Time = 6.5 × 7 = 45.5

#### Column 3: Time = 65 → Km = 65 ÷ 6.5 = 10

#### Column 4: Km = 15 → Time = 6.5 × 15 = 97.5

#### Column 5: Time = 26 → Km = 26 ÷ 6.5 = 4

#### Column 6: Km = 3 → Time = 6.5 × 3 = 19.5

#### Column 7: Time = 71.5 → Km = 71.5 ÷ 6.5 = 11

✔ Completed table for (3):

| Km | 7 | 6 | 10 | 15 | 4 | 3 | 11 |
|------|-----|----|----|-----|----|-----|-----|
| Time |45.5 |39 |65 |97.5 |26 |19.5 |71.5 |

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Final Answer:

(1) Completed Table:

| Number of boys | 15 | 10 | 20 | 55 | 25 | 35 | 5 |
|----------------|----|----|----|----|----|----|----|
| Number of girls| 12 | 8 | 16 | 44 | 20 | 28 | 4 |

(2) Completed Table:

| Number of eggs | 3 | 9 | 6 | 33 | 12 | 39 | 15 |
|----------------|----|----|----|----|----|----|----|
| Flower (kg) | 0.5|1.5 | 1 |5.5 | 2 |6.5 |2.5 |

(3) Completed Table:

| Kilometers | 7 | 6 | 10 | 15 | 4 | 3 | 11 |
|----------------|-----|----|----|-----|----|-----|-----|
| Time (minutes) |45.5 |39 |65 |97.5 |26 |19.5 |71.5 |