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Solve the following questions: 1a. Add 43501, 3450, 120, and 2. 1b. Subtract 4564 from 6000. 3. Find the LCM of 6, 8, 12. 4. Find the HCF of 10, 15, 25. 5. Based on a bar chart, how much was sold on M

Mathematics

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Answers

7 parts
i

5000 FRS5000 \text{ FRS}

ii

4000 FRS4000 \text{ FRS}

iii

5500 FRS5500 \text{ FRS}

iv

2500 FRS2500 \text{ FRS}

v

6000 FRS6000 \text{ FRS}

vi

23000 FRS23000 \text{ FRS}

vii

Saturday and Sunday\text{Saturday and Sunday}

Step-by-step solution

5 steps
  1. Solve Question 1a.

    Add the given numbers:

    43501+3450+120+243501 + 3450 + 120 + 2 4350143501 34503450 120120 +2+\quad 2 47073‾\overline{47073}

    The sum is 47073\boxed{47073}.

  2. Solve Question 1b.

    Subtract 4564 from 6000:

    6000−45646000 - 4564 60006000 −4564-\quad 4564 1436‾\overline{1436}

    The difference is 1436\boxed{1436}.

  3. Find the LCM of $6, 8, 12$.

    First, find the prime factorization of each number:
    6=2×36 = 2 \times 3
    8=2×2×2=238 = 2 \times 2 \times 2 = 2^3
    12=2×2×3=22×312 = 2 \times 2 \times 3 = 2^2 \times 3
    To find the LCM, take the highest power of each prime factor present in any of the numbers:
    Highest power of 2 is 232^3.
    Highest power of 3 is 313^1.
    Multiply these highest powers:
    LCM=23×31=8×3=24\text{LCM} = 2^3 \times 3^1 = 8 \times 3 = 24.
    The LCM is 24\boxed{24}.

  4. Find the HCF of $10, 15, 25$.

    First, find the prime factorization of each number:
    10=2×510 = 2 \times 5
    15=3×515 = 3 \times 5
    25=5×5=5225 = 5 \times 5 = 5^2
    To find the HCF, identify the common prime factors and take the lowest power of each common factor:
    The only common prime factor is 5. The lowest power of 5 common to all is 515^1.
    HCF=5\text{HCF} = 5.
    The HCF is 5\boxed{5}.

  5. Answer Question 3 based on the bar chart.

    The y-axis represents the amount sold in FRS.

    i) Monday: The bar for Monday reaches 5000 FRS.
    He sold 5000 FRS\boxed{5000 \text{ FRS}} on Monday.

    ii) Tuesday: The bar for Tuesday reaches 4000 FRS.
    He sold 4000 FRS\boxed{4000 \text{ FRS}} on Tuesday.

    iii) Wednesday: The bar for Wednesday reaches halfway between 5000 FRS and 6000 FRS, which is 5500 FRS.
    He sold 5500 FRS\boxed{5500 \text{ FRS}} on Wednesday.

    iv) Thursday: The bar for Thursday reaches halfway between 2000 FRS and 3000 FRS, which is 2500 FRS.
    He sold 2500 FRS\boxed{2500 \text{ FRS}} on Thursday.

    v) Friday: The bar for Friday reaches 6000 FRS.
    He sold 6000 FRS\boxed{6000 \text{ FRS}} on Friday.

    vi) How much did he sell throughout the week?
    Add the sales from Monday to Friday:

    5000+4000+5500+2500+60005000 + 4000 + 5500 + 2500 + 6000 9000+5500+2500+60009000 + 5500 + 2500 + 6000 14500+2500+600014500 + 2500 + 6000 17000+600017000 + 6000 23000 FRS23000 \text{ FRS}

    He sold 23000 FRS\boxed{23000 \text{ FRS}} throughout the week.

    vii) On which days did he not sell?
    The bars for Saturday and Sunday are at 0 FRS, indicating no sales.
    He did not sell on Saturday and Sunday\boxed{\text{Saturday and Sunday}}.

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