A manufacturing company processes a certain amount of raw material. The process involves three stages.In the first stage, of the initial raw material is lost during preparation. The company starts with of raw material. Calculate the mass of material remaining after the first stage.In the second stage, of the material remaining from the first stage is converted into finished product. The rest becomes waste. Calculate the mass of the finished product.In the third stage, of the finished product is sold. The remaining finished product is stored. Calculate the mass of finished product sold and the mass of finished product stored.Express the total mass of finished product sold as a percentage of the initial raw material.Due to a change in demand, the company stores of finished product. Assuming the same loss and conversion rates, calculate the initial mass of raw material required to produce this amount of stored finished product.

Mass lost: [1 mark - Scoring note: M1 for calculating mass lost or ]Mass remaining: [1 mark - Scoring note: A1 for correct final mass remaining]Mass of finished product: [1 mark - Scoring note: M1 for or equivalent][1 mark - Scoring note: A1 for correct mass of finished product]Mass sold: [1 mark - Scoring note: M1 for ]Mass stored: (or )[1 mark - Scoring note: A1 for mass sold][1 mark - Scoring note: B1 for mass stored]Percentage: [1 mark - Scoring note: M1 for ][1 mark - Scoring note: A1 for correct percentage]Let initial mass be .Mass stored [1 mark - Scoring note: M1 for setting up the full multiplicative chain or equivalent steps, e.g., ][1 mark - Scoring note: M1 for correctly simplifying the coefficient of X or setting up an intermediate equation in X][1 mark - Scoring note: A1 for correct initial mass of raw material]

A large tank contains 2400 litres of water.Initially, of the water is removed from the tank.Calculate the volume of water removed and the volume of water remaining in the tank.Then, 20% of the remaining water (from part (a)) is added back into the tank.Calculate the new total volume of water in the tank.After that, 0.15 of the new total volume of water (from part (b)) is removed.Calculate the final volume of water remaining in the tank.Express the final volume of water as a percentage of the initial volume of water in the tank. Give your answer correct to 1 decimal place.

Volume removed: litres[1 mark - Scoring note: For correct calculation of volume removed]Volume remaining: litres[1 mark - Scoring note: For correct calculation of volume remaining]Volume added back: litres[1 mark - Scoring note: For correct calculation of 20% of the remaining volume]New total volume: litres[1 mark - Scoring note: For correct calculation of the new total volume]Volume removed: litres[1 mark - Scoring note: For correct calculation of 0.15 of the new total volume]Final volume remaining: litres[1 mark - Scoring note: For correct calculation of the final volume remaining]Percentage: [1 mark - Scoring note: For correct setup of percentage calculation] (correct to 1 decimal place)[1 mark - Scoring note: For correct final percentage rounded to 1 decimal place]

A company has an initial budget of $180,000 for a new product launch. of the budget is allocated to research and development (R&D). Calculate the amount allocated to R&D.From the remaining budget, 30% is spent on marketing. Calculate the amount spent on marketing.The rest of the budget is divided between production costs and distribution. of this remaining amount is for production costs. Calculate the amount for production costs.The amount spent on distribution (from part (c)) is then increased by 15% due to unexpected logistics issues. Calculate the new amount for distribution.Express the amount spent on marketing as a percentage of the total initial budget. Give your answer correct to 1 decimal place.

Amount for R&D = 72,000[1 mark - Scoring note: Method mark for or equivalent. 1 mark - Scoring note: Accuracy mark for correct answer, .]Remaining budget after R&D = 108,000Amount for marketing = 32,400[1 mark - Scoring note: Method mark for or . 1 mark - Scoring note: Accuracy mark for correct answer, .]Remaining budget after marketing = 75,600Amount for production costs = 56,700[1 mark - Scoring note: Method mark for or . 1 mark - Scoring note: Accuracy mark for correct answer, .]Initial amount for distribution = 18,900New amount for distribution = 21,735[1 mark - Scoring note: Method mark for or . 1 mark - Scoring note: Accuracy mark for correct answer, .]Percentage = [1 mark - Scoring note: Method mark for . 1 mark - Scoring note: Accuracy mark for correct answer, , rounded to 1 decimal place.]

A factory has a target to produce 18000 electronic components.In the first week, they complete of the target. Calculate the number of components completed in the first week.In the second week, they complete 30% of the remaining components after the first week. Calculate the number of components completed in the second week.In the third week, they complete of the new remaining components after the second week. Calculate the number of components completed in the third week.Calculate the total number of components that are still not completed after the three weeks.Express the number of components completed in the third week as a percentage of the original target. Give your answer correct to 1 decimal place.

Number of components completed in the first week:7200 components[1 mark - Scoring note: M1 for or equivalent calculation. A1 for 7200.]Components remaining after the first week:Number of components completed in the second week:3240 components[1 mark - Scoring note: M1 for calculating 10800 (remaining after week 1). M1 for . A1 for 3240.]Components remaining after the second week:Number of components completed in the third week:5670 components[1 mark - Scoring note: M1 for calculating 7560 (remaining after week 2). M1 for . A1 for 5670.]Total components completed after three weeks:Components still not completed:1890 components[1 mark - Scoring note: M1 for or . A1 for 1890.]Percentage of original target for components completed in the third week:31.5%[1 mark - Scoring note: M1 for . A1 for 31.5% (correct to 1 d.p.).]

Question Hub

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

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

Question Type

Difficulty level

180 Qs

QUESTION:1

HardPaper 4Subjective

Loading whiteboard...

QUESTION:2

HardPaper 4Subjective

Loading whiteboard...

QUESTION:3

HardPaper 4Subjective

Loading whiteboard...

QUESTION:4

HardPaper 4Subjective

Loading whiteboard...