Grade 5 Mathematics worksheet by Mrs C Serfontein, featuring Section A with true or false questions and instructions to show all calculations.

Let's solve Question 1 from the Grade 5 Mathematics paper step by step. We need to determine whether each statement is true or false, and if it's false, we must write the correct answer.

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a) 74 841 is in a even number.

- A number is even if its last digit is 0, 2, 4, 6, or 8.
- The last digit of 74 841 is 1, which is odd.
- So, this number is not even.

✔ Answer: False
➡️ Correct answer: 74 841 is an odd number.

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b) All the factors of 18 is: 1 ; 18 ; 2 ; 9.

- Let’s list all the factors of 18:
- 1 × 18 = 18
- 2 × 9 = 18
- 3 × 6 = 18
- So, the complete list of factors is: 1, 2, 3, 6, 9, 18
- The given list misses 3 and 6

✔ Answer: False
➡️ Correct answer: All the factors of 18 are: 1; 2; 3; 6; 9; 18

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c) 9 854 rounded to the nearest 1 000 is 10 000.

- To round to the nearest 1 000, look at the hundreds digit (the 3rd digit from the right).
- In 9 854, the hundreds digit is 8 (in 800).
- Since 8 ≥ 5, we round up.
- So, 9 854 → 10 000

✔ Answer: True

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d) The multiples of 7 between 14 and 35 is: 14; 21; 28; 35

- First, note: "between" usually means excluding the endpoints.
- But let's check what the question says: "between 14 and 35"
- Multiples of 7:
- 7 × 2 = 14
- 7 × 3 = 21
- 7 × 4 = 28
- 7 × 5 = 35
- If “between” excludes both ends, then only 21 and 28 should be included.
- But the list includes 14 and 35, which are the endpoints.
- So, if strictly between, the list is wrong.

But sometimes "between" can include endpoints — let's check context.

However, in math, "between 14 and 35" typically excludes the endpoints unless stated otherwise.

So:
- Multiples of 7 strictly between 14 and 35 are: 21 and 28
- The given list includes 14 and 35, so it's incorrect.

✔ Answer: False
➡️ Correct answer: The multiples of 7 between 14 and 35 are: 21; 28

*(Note: Some might interpret "between" as inclusive, but in most cases, especially in grade 5, "between" means not including the numbers themselves.)*

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e) 30 + ¹⁄₃ of 150 = 80

Let’s calculate:

- First, find ¹⁄₃ of 150:
$$
\frac{1}{3} \times 150 = 50
$$
- Now add:
$$
30 + 50 = 80
$$

So, the equation is correct.

✔ Answer: True

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✔ Final Answers:

| Item | Answer | Explanation |
|------|--------|-----------|
| a) | False – 74 841 is an odd number | Last digit is 1 (odd) |
| b) | False – Missing factors 3 and 6 | Factors of 18: 1, 2, 3, 6, 9, 18 |
| c) | True | 9 854 rounds to 10 000 (nearest 1 000) |
| d) | False – 14 and 35 are endpoints | Only 21 and 28 are strictly between |
| e) | True | ⅓ of 150 = 50; 30 + 50 = 80 |

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Let me know if you'd like help with the rest of the test!