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4. (a) In a Mathematics test , Maria got 26 marks out of 40. What percentage is this? (2 marks) (b) 10% of a number is 6. What is the number? (2 marks)

Pergunta

4. (a) In a Mathematics test , Maria got 26 marks out of 40. What percentage
is this?
(2 marks)
(b) 10%  of a number is 6. What is the number?
(2 marks)

4. (a) In a Mathematics test , Maria got 26 marks out of 40. What percentage is this? (2 marks) (b) 10% of a number is 6. What is the number? (2 marks)

Solução

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JonathanMestre · Tutor por 5 anos

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(a) To find the percentage of marks Maria got, we can use the formula:<br /><br />\[ \text{Percentage} = \left( \frac{\text{Marks Obtained}}{\text{Total Marks}} \right) \times 100 \]<br /><br />Substituting the given values:<br /><br />\[ \text{Percentage} = \left( \frac{26}{40} \right) \times 100 \]<br /><br />\[ \text{Percentage} = 0.65 \times 100 \]<br /><br />\[ \text{Percentage} = 65\% \]<br /><br />So, Maria got 65% of the marks in the Mathematics test.<br /><br />(b) To find the number when 10% of it is 6, we can set up the equation:<br /><br />\[ 0.10 \times \text{Number} = 6 \]<br /><br />To solve for the number, divide both sides of the equation by 0.10:<br /><br />\[ \text{Number} = \frac{6}{0.10} \]<br /><br />\[ \text{Number} = 60 \]<br /><br />So, the number is 60.
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