10 of an amount is 48.Calculate the original amount.

Marking Scheme Analysis: The marking scheme provides the final answer and the steps required for full marks. Final Answer: 216 Marks: 2 marks in total. Method Mark (M1): Awarded for a correct method, which is shown as . This implies the question stated that of an amount is 48. The key step is to first find one part by dividing 48 by 2. Accuracy Mark (A1): Implicitly awarded for the correct final answer of 216, following a correct method. Step-by-step Solution: Step 1: Understand the problem from the marking scheme. The marking scheme gives a method mark for the calculation . This indicates the problem was to find an original amount where of it equals 48. Let the original amount be 'A'. The equation is: Step 2: Find the value of one part () of the original amount. If two-ninths of the amount is 48, then one-ninth of the amount is half of 48. This corresponds to the first part of the M1 mark. Step 3: Calculate the original amount (the whole, or ). Since one-ninth of the amount is 24, the full amount is 9 times this value. This corresponds to the second part of the M1 mark. The original amount is 216.

(Continued from previous page) (b) One litre of a mixed fruit drink contains 550 millilitres of apple juice.Write down the fraction of the drink that is apple juice.Give your answer in its simplest form. (c) Amir wants to buy a bottle of fruit juice.There are three sizes of bottle.Work out which size of bottle gives the best value.Show how you decide. (d) The amount of juice in a glass, millilitres, is 150 millilitres correct to the nearest 10 millilitres.Complete this statement about the value of ..................... ....................

Marking Scheme Analysis:The marking scheme for this question awards a total of 2 marks.M1: A method mark is given for writing the correct initial fraction, which is or an equivalent unsimplified fraction like or . This shows understanding of forming a fraction from the given quantities.A1: An answer mark is given for the final answer correctly simplified to .The final answer in the marking scheme is .Step-by-step Solution:Step 1: Set up the fraction using consistent units.The total volume of the drink is 1 litre. The volume of apple juice is 550 millilitres. To form a fraction, both quantities must be in the same units. We convert 1 litre to millilitres:1 litre = 1000 millilitresNow, we can write the fraction of apple juice in the drink as:This step earns the M1 mark according to the marking scheme.Step 2: Simplify the fraction to its lowest terms.To simplify the fraction , we find the greatest common divisor of the numerator and the denominator, or simplify in stages.First, we can divide both the numerator and the denominator by 10:Next, we can see that both 55 and 100 are divisible by 5:The number 11 is a prime number, and 20 is not a multiple of 11, so the fraction is in its simplest form.This final answer earns the A1 mark.

3. Write in its simplest form.

Marking Scheme Analysis:According to the marking scheme for question 3, the final answer is . One mark is awarded for this answer. The annotation 'cao' stands for 'correct answer only', which means that no partial marks are given for incorrect answers, even if the method is partially correct.Step-by-step Solution:The question requires writing a fraction in its simplest form. The original fraction is not provided in the question text, but the process involves finding an equivalent fraction where the numerator and denominator have no common factors other than 1.Let's assume the original fraction was , which simplifies to the answer given in the marking scheme.Identify the numerator and denominator.Numerator = 12Denominator = 21Find the greatest common divisor (GCD) or highest common factor (HCF) of the numerator and the denominator.Factors of 12 are: 1, 2, 3, 4, 6, 12.Factors of 21 are: 1, 3, 7, 21.The highest number that is a factor of both 12 and 21 is 3. So, the GCD is 3.Divide both the numerator and the denominator by their GCD.State the final answer.The fraction in its simplest form is .This final answer matches the one in the marking scheme, earning the single mark available.

13 Saanvi makes some biscuits.She sells of the biscuits.She now has 96 biscuits left.Work out the total number of biscuits Saanvi makes.

Marking Scheme Analysis: The final answer for question 13 is 156. The question is worth 3 marks, allocated as follows: M1: For correctly setting up the equation or an equivalent representation. This mark is awarded for identifying that the 96 biscuits left represent of the total. M1: For a correct step towards solving the equation, such as or better. A1: For the correct final answer of 156. Step-by-step Solution: Step 1: Determine the fraction of biscuits left. Saanvi sells of her biscuits. The total number of biscuits can be represented by the fraction (or 1 whole). The fraction of biscuits she has left is: So, Saanvi has of the original biscuits left. Step 2: Set up an equation. We are told that she has 96 biscuits left. This means that of the total number of biscuits is equal to 96. Let be the total number of biscuits Saanvi made. We can write the equation: According to the marking scheme, writing this equation () earns the first M1 mark. Step 3: Solve the equation for x. To find the total number of biscuits, , we need to solve the equation. First, multiply both sides by 13: This step, , earns the second M1 mark. Now, calculate the product: Finally, divide both sides by 8 to find : Step 4: State the final answer. The total number of biscuits Saanvi made is 156. This is the final answer and secures the A1 mark.

Question Hub

IGCSE (CAMBRIDGE)|9th and 10th|Extended Maths (0580)

Flash Card Study Notes Previous Year Question Hub Practice Set Question Hub

Question year

Question type

Difficulty level

Select time zone

100 Qs

QUESTION:1

MediumPaper 1Subjective2016

Loading whiteboard...

QUESTION:2

MediumPaper 3Subjective2016

Loading whiteboard...

QUESTION:3

MediumPaper 1Subjective2020

Loading whiteboard...

QUESTION:4

MediumPaper 1Subjective2021

Loading whiteboard...