Grade 4 Daily Math Curriculum Workbook - Free Printable

Let's solve each problem step by step and explain the reasoning.

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MONDAY – Patterning and Algebra

#### 1. Are the sums in each pair equal?
- $ 2 + 6 = 8 $
- $ 1 + 7 = 8 $

✔ Yes, both sums are equal (both equal 8).

Answer: Yes

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#### 2. Complete:
$ 16 - 7 = 18 - \_\_\_\_ $

First, calculate:
- $ 16 - 7 = 9 $

Now find what number subtracted from 18 gives 9:
- $ 18 - x = 9 $
- $ x = 18 - 9 = 9 $

So,
$ 16 - 7 = 18 - 9 $

Answer: 9

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#### 3. Write 10 as the sum of 3 numbers.

There are many possible answers. Let’s pick one:

Example: $ 4 + 3 + 3 = 10 $

Or: $ 5 + 2 + 3 = 10 $

Any combination that adds to 10 is valid.

Answer (example): $ 5 + 2 + 3 = 10 $

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#### 4. Predict what the 21st figure will be in this pattern.

Pattern:
`bike, firetruck, firetruck, ambulance, bike, firetruck, firetruck, ambulance, bike`

Let’s list them with positions:

| Position | Figure |
|----------|----------------|
| 1 | Bike |
| 2 | Firetruck |
| 3 | Firetruck |
| 4 | Ambulance |
| 5 | Bike |
| 6 | Firetruck |
| 7 | Firetruck |
| 8 | Ambulance |
| 9 | Bike |

We can see a repeating pattern every 4 figures:
Bike → Firetruck → Firetruck → Ambulance → (repeat)

So the cycle length is 4.

To find the 21st figure:
- Divide 21 by 4: $ 21 ÷ 4 = 5 $ remainder 1

Remainder 1 means it corresponds to the first item in the cycle.

The first item is: Bike

Answer: A. Bike

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#### 5. If each bag holds 15 jelly beans. How many jelly beans will there be in 6 bags?

Multiply:
$ 15 × 6 = 90 $

Answer: 90 jelly beans

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TUESDAY – Number Sense

#### 1. Which digit is in the hundreds place?
Number: 4955

Break down the digits:
- Thousands: 4
- Hundreds: 9
- Tens: 5
- Ones: 5

Answer: 9

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#### 2. Use the digits 8, 9, 3, 2 to create the greatest number possible.

To make the largest number, arrange digits in descending order:
- 9, 8, 3, 2

So the number is: 9832

Answer: 9832

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#### 3. Subtract:
```
7830
- 6782
______
```

Let’s do it step by step:

```
7830
- 6782
______
```

Start from right:
- 0 - 2 → borrow → 10 - 2 = 8 (but we need to borrow)
- 3 becomes 2 after borrowing → 12 - 8 = 4
- 8 becomes 7 → 7 - 7 = 0
- 7 - 6 = 1

Wait — let's write it clearly:

```
7830
-6782
------
```

Step-by-step:

- Units: 0 - 2 → can't do → borrow from tens
- Tens digit is 3 → becomes 2, units become 10
- 10 - 2 = 8

- Tens: 2 (after borrow) - 8 → can't do → borrow from hundreds
- Hundreds digit is 8 → becomes 7, tens become 12
- 12 - 8 = 4

- Hundreds: 7 (after borrow) - 7 = 0

- Thousands: 7 - 6 = 1

So result: 1048

Answer: 1048

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#### 4. Order these numbers from greatest to least:
Numbers: 1751, 7450, 4531, 4879

Compare thousands digit:
- 7450 → 7 thousands → largest
- Then 4879 and 4531 → both 4 thousands
- Compare hundreds: 8 vs 5 → 4879 > 4531
- Then 1751 → smallest

Order:
7450, 4879, 4531, 1751

Answer: 7450, 4879, 4531, 1751

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#### 5. What is the value of the money?

Look at the image:

- Bills:
- One $20 bill
- One $5 bill
- One $20 bill
- Total bills: $20 + $5 + $20 = $45

- Coins:
- Two $1 coins (loonies) → $1 × 2 = $2
- Two 25¢ coins (quarters) → 25¢ × 2 = 50¢
- Three 10¢ coins (dimes) → 10¢ × 3 = 30¢
- One 1¢ coin (penny) → 1¢

Now add up the coins:
- $2.00
- $0.50
- $0.30
- $0.01
→ Total coins: $2.81

Now total money:
- $45 + $2.81 = $47.81

Answer: $47.81

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✔ Final Answers Summary:

#### Monday – Patterning and Algebra
1. Yes
2. 9
3. Example: 5 + 2 + 3 = 10
4. A. Bike
5. 90 jelly beans

#### Tuesday – Number Sense
1. 9
2. 9832
3. 1048
4. 7450, 4879, 4531, 1751
5. $47.81

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