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Maths Mate Term 1 - Sheet 1: A comprehensive math worksheet featuring problems on whole numbers, fractions, decimals, percentages, and number patterns.

A maths worksheet titled "MATHS MATE Term 1 - Sheet 1" with various arithmetic problems including addition, subtraction, multiplication, division, fractions, percentages, decimals, and number patterns, designed for students to practice math skills.

A maths worksheet titled "MATHS MATE Term 1 - Sheet 1" with various arithmetic problems including addition, subtraction, multiplication, division, fractions, percentages, decimals, and number patterns, designed for students to practice math skills.

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Show Answer Key & Explanations Step-by-step solution for: Maths Mate Blue (7) 6th Ed. | Maths Mate Australia
Let's solve each question on the Maths Mate Term 1 - Sheet 1 step by step and explain the solutions.

---

1. [+ Whole Numbers to 10]


Add 2 to each number:
- 1 + 2 = 3
- 5 + 2 = 7
- 3 + 2 = 5
- 10 + 2 = 12
- 7 + 2 = 9
- 9 + 2 = 11
- 2 + 2 = 4
- 6 + 2 = 8
- 8 + 2 = 10
- 4 + 2 = 6

Answer: 3, 7, 5, 12, 9, 11, 4, 8, 10, 6

---

2. [– Whole Numbers to 10]


Subtract 1 from each number:
- 9 – 1 = 8
- 11 – 1 = 10
- 6 – 1 = 5
- 8 – 1 = 7
- 12 – 1 = 11
- 3 – 1 = 2
- 5 – 1 = 4
- 10 – 1 = 9
- 4 – 1 = 3
- 7 – 1 = 6

Answer: 8, 10, 5, 7, 11, 2, 4, 9, 3, 6

---

3. [× Whole Numbers to 12]


Multiply each number by 3:
- 8 × 3 = 24
- 4 × 3 = 12
- 2 × 3 = 6
- 9 × 3 = 27
- 11 × 3 = 33
- 7 × 3 = 21
- 3 × 3 = 9
- 5 × 3 = 15
- 6 × 3 = 18
- 10 × 3 = 30

Answer: 24, 12, 6, 27, 33, 21, 9, 15, 18, 30

---

4. [÷ Whole Numbers to 12]


Divide each number by 4:
- 16 ÷ 4 = 4
- 4 ÷ 4 = 1
- 24 ÷ 4 = 6
- 32 ÷ 4 = 8
- 8 ÷ 4 = 2
- 20 ÷ 4 = 5
- 36 ÷ 4 = 9
- 12 ÷ 4 = 3
- 28 ÷ 4 = 7
- 40 ÷ 4 = 10

Answer: 4, 1, 6, 8, 2, 5, 9, 3, 7, 10

---

5. [Large Number +,–]


Subtract:
```
1360
– 230
-------
```
- 0 – 0 = 0
- 6 – 3 = 3
- 3 – 2 = 1
- 1 – 0 = 1

Answer: 1130

---

6. [Large Number ×,÷]


840 ÷ 10 = 84

Answer: 84

---

7. [Decimal +,–]


Add decimals:
```
5.2.3
+ 2.6.3
-------
```
Wait — this is likely a typo in formatting. It should be:

```
5.23
+ 2.63
------
```

But written as:
```
5 2.3
+ 2 6.3
```

So it’s:
- 5.23 + 2.63 = ?

Break it down:
- 5 + 2 = 7
- 0.23 + 0.63 = 0.86

So: 7.86

Answer: 7.86

---

8. [Decimal ×,÷]


Multiply:
```
0.9
× 2
-----
```
0.9 × 2 = 1.8

Answer: 1.8

---

9. [Fraction +,–]


$$
\frac{7}{9} - \frac{3}{9} = \frac{4}{9}
$$

Answer: 4/9

---

10. [Fraction ×,÷]


$$
3 × \frac{1}{8} = \frac{3}{8}
$$

Answer: 3/8

---

11. [Percentages]


"15 out of 100" as a percentage:
$$
\frac{15}{100} = 15\%
$$

Answer: 15%

---

12. [Decimals / Fractions / Percentages]


The shape has 10 equal parts, and 7 are shaded.

So:
$$
\frac{7}{10} = 70\%
$$

Answer: 70%

---

13. [Integers]


Which location has the lowest altitude?

- A) 1000 m above sea level → +1000
- B) 85 m below sea level → –85
- C) 24 m above sea level → +24

Lowest (most negative) is B)

Answer: B) Death Valley (USA)

---

14. [Rates / Ratios]


Simplify ratio 4 : 6

Divide both by 2:
2 : 3

Answer: 2 : 3

---

15. [Indices / Square Roots]


Write $ 2^2 $ as a product:

$$
2^2 = 2 × 2
$$

Answer: 2 × 2

---

16. [Order of Operations]


$$
12 + 8 – 9 = ?
$$
Left to right:
- 12 + 8 = 20
- 20 – 9 = 11

Answer: 11

---

17. [Exploring Numbers]


Which is largest?
- A) 3086
- B) 3806
- C) 3068

Compare:
- 3806 > 3086 > 3068

Answer: B) 3806

---

18. [Multiples / Factors / Primes]


List multiples of 4 up to 20:

4, 8, 12, 16, 20

Answer: 4, 8, 12, 16, 20

---

19. [Number Patterns]


Sequence: 6, 13, 20, 27, 34, __, __

Look at differences:
- 13 – 6 = 7
- 20 – 13 = 7
- 27 – 20 = 7
- 34 – 27 = 7

So add 7 each time:
- 34 + 7 = 41
- 41 + 7 = 48

Answer: 41, 48

---

20. [Expressions]


Simplify: $ y + y $

= 2y

Answer: 2y

---

21. [Substitution]


If $ y = 2 $, find $ y + 6 $

= 2 + 6 = 8

Answer: 8

---

22. [Equations]


Solve: $ 4 + \boxed{} = 10 $

Subtract 4 from both sides:
$ \boxed{} = 10 – 4 = 6 $

Answer: 6

---

## Final Answers Summary:

| Q | Answer |
|---|--------|
| 1 | 3, 7, 5, 12, 9, 11, 4, 8, 10, 6 |
| 2 | 8, 10, 5, 7, 11, 2, 4, 9, 3, 6 |
| 3 | 24, 12, 6, 27, 33, 21, 9, 15, 18, 30 |
| 4 | 4, 1, 6, 8, 2, 5, 9, 3, 7, 10 |
| 5 | 1130 |
| 6 | 84 |
| 7 | 7.86 |
| 8 | 1.8 |
| 9 | 4/9 |
|10 | 3/8 |
|11 | 15% |
|12 | 70% |
|13 | B) Death Valley (USA) |
|14 | 2 : 3 |
|15 | 2 × 2 |
|16 | 11 |
|17 | B) 3806 |
|18 | 4, 8, 12, 16, 20 |
|19 | 41, 48 |
|20 | 2y |
|21 | 8 |
|22 | 6 |

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