Whole Numbers

16 Grade 7 Mathematics questions on Whole Numbers, with worked marking schemes. 16 questions are available on this topic in full.

1. Question 1

   2 marks

   Sarah recorded the following numbers: $\frac{1}{2}$, $5\frac{1}{2}$, −8, 0.6. Which of the numbers is an integer?

   A. ½

   B. 5½

   C. 0.6

   D. −8

   Marking scheme

   D. $-8$ — integers are the whole numbers together with their negatives, so a minus sign does not disqualify a number. $\frac{1}{2}$ and $5\frac{1}{2}$ are fractions and $0.6$ is a decimal, none of which is whole.

2. Question 2

   3 marks

   Three bells ring at intervals of 12, 15 and 18 minutes. If they ring together at 9:00 a.m., when will they next ring together?

   (3 marks)

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3. Question 3

   1 mark

   Express 720 as a product of prime factors.

   A. 2⁴ × 3² × 5

   B. 2² × 3² × 5²

   C. 2³ × 3² × 5

   D. 2⁴ × 3 × 5²

   (1 mark)

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4. Question 4

   1 mark

   Which of these numbers is divisible by both 4 and 9?

   A. 1,835

   B. 1,838

   C. 1,836

   D. 1,834

   (1 mark)

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5. Question 5

   4 marks

   A cooperative received 18,357,248 cartons of avocados. How many times is the total value of digit 3 greater than the total value of digit 2?

   (4 marks)

   Marking scheme

   The value of a digit depends on its place. In $18,357,248$ the digit $3$ sits in the hundreds of thousands place. (1)

   So the value of $3$ is $3\times 100,000=300,000$. (1)

   The digit $2$ sits in the hundreds place, so its value is $2\times 100=200$. (1)

   "How many times greater" means divide: $\frac{300,000}{200}=1,500$. (1)

   Final answer: $1,500$ times.

6. Question 6

   3 marks

   Evaluate: $(-8)\times (+3)+(-4)\times (-5)$

   (3 marks)

   Marking scheme

   Multiplication is done before addition, so work out the two products first. (1)

   $(-8)\times (+3)=-24$, since a negative times a positive is negative. (1)

   $(-4)\times (-5)=+20$, since a negative times a negative is positive. Then $-24+20=-4$. (1)

   Final answer: $-4$.

7. Question 7

   1 mark

   What is the total value of 3 in 18,357,248?

   A. 300,000

   B. 3,000,000

   C. 3,000

   D. 30,000

   (1 mark)

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8. Question 8

   1 mark

   What is the HCF of 48 and 72?

   A. 24

   B. 12

   C. 48

   D. 6

   (1 mark)

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9. Question 9

   4 marks

   A cooperative society received 18,357,248 cartons of avocados from farmers in one season. How many times is the total value of digit 3 greater than the total value of digit 2 in the number?

   (4 marks)

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10. Question 10

    1 mark

    Round 4,567,891 to the nearest ten thousand.

    A. 4,560,000

    B. 4,570,000

    C. 4,600,000

    D. 4,568,000

    (1 mark)

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11. Question 11

    2 marks

    Sarah recorded the following numbers: $\frac{1}{2}$, $5\frac{1}{2}$, −8, 0.6. Which of the numbers is an integer?

    A. ½

    B. 5½

    C. 0.6

    D. −8

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12. Question 12

    4 marks

    A cooperative society received 18,357,248 cartons of avocados from farmers in one season. How many times is the total value of digit 3 greater than the total value of digit 2 in the number?

    (4 marks)

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13. Question 13

    1 mark

    Work out: 987,654 − 456,789

    A. 530,965

    B. 529,865

    C. 530,865

    D. 531,865

    (1 mark)

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14. Question 14

    4 marks

    Find the HCF and LCM of 84 and 120.

    (4 marks)

    Marking scheme

    Write each number as a product of prime factors: $84=2^2\times 3\times 7$. (1)

    And $120=2^3\times 3\times 5$. (1)

    The HCF takes each common prime to its lowest power: $2^2\times 3=12$. (1)

    The LCM takes every prime to its highest power: $2^3\times 3\times 5\times 7=840$. Check: $12\times 840=84\times 120$. (1)

    Final answer: HCF $=12$, LCM $=840$.

15. Question 15

    1 mark

    Find the LCM of 12, 15 and 20.

    A. 180

    B. 60

    C. 30

    D. 120

    (1 mark)

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16. Question 16

    1 mark

    Evaluate: $(-5)+(+8)-(-3)$

    A. 0

    B. −6

    C. 6

    D. 16

    (1 mark)

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