Improving grades at GCSE through developing numeracy Answer booklet. Business- AQA GCSE Business Unit 1

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1 Improving grades at GCSE through developing numeracy Answer booklet Business- AQA GCSE Business Unit

2 Answers Number of coffees Discount received Sarah 2.90*0.2*2 = 0.76 Robert 5.90*0.2*5 =.90 Ali 4.90*0.2*4 =.52 Total cost to the store = 4.8 (3) Variable cost + fixed costs = Total Costs () Cost per delegate 65*72 = 4680 () Total cost = () Remaining training budget = () Precentage of training budget /9000 = 34.55% () Design and Technology Question mark for each correct percentage. 05/250 X 00 = 42 30/250 X 00 = 2 Number of children Percentage of total Pastel colours 55 22% Primary colours 05 42% Fluorescent colours 50 20% Subtle colours 30 2% Metallic colours 0 4% Total Geography The following questions are typical of those that would be asked in Paper 3: Geographical Applications.. As part of your primary data collection, you carry out a questionnaire to find out about urban regeneration in Manchester. 4 out of 30 respondents stated that they strongly agreed that the regeneration was a success. Calculate what percentage of respondents strongly agreed that the regeneration was a success. Give your answer to one decimal place. ( mark) 46.7% 4 / 30 = x 00 = 46.7%

3 2. The number of bus routes in Nottingham increased from 24 in 200 to 3 in 206. Calculate the percentage change. Give your answer to the nearest percent. ( mark) 29% 3-24 = 7 7 / 24 = x 00 = 29% 3. Which word has the same meaning as the 50 th percentile? Clearly shade one circle. ( mark) o Mean Median o Mode o range Maths PE. Equivalence of fractions, percentages and decimals (also ratios). Arrange these is increasing order: Write in one form Arrange 2. Finding percentages of amounts and finding percentage increase or decrease (CO). Find 23% of 67 Increase 450 by 2.5% 0.23 x 67 = x 450 = Expressing one quantity as a percentage of another. A class of 32 has 2 boys. What percentage of the class are girls? See numeracy how to. Value: Reverse percentage calculations. In a sale all items are reduced by 5%. A pair of shoes now costs 5, how much were they before the sale? 5 is 85%, so % is (5/85 =) 0.6 and thus 00% is Repeated percentage, compound interest/depreciation (CO). An investment of 50 increases by 2.5% each year, for 3 years. 50 x (.025) 3 = Joe has undertaken a six week fitness programme with the main aim of improving his cardiovascular endurance. What would be the upper and lower percentage heart rate zones he should be working in to ensure he improves in his area of focus? Underline one answer. 40% - 50% 50% - 60% 60% - 70% 70% - 80%

4 2. Calculate Joe s actual heart rate from the two zones if Joe is a 6 year old boy using the calculation of: Maximum Heart Rate Age and then working out the two percentages. 3. Figure 7 shows Olympic doping cases by sport from 968 to 200. Olympic doping cases by sport, No. of doping cases reported Weightlifting 36 Athletics (Track and Field) 28 Cross Country Skiing 2 Equestrian 8 Ice Hockey, Wrestling 6 Cycling 5 Biathlon, Modern Pentathlon, Volleyball 3 Baseball, Gymnastics, Judo, Rowing, Swimming, Shooting Alpine Skiing, Basketball, Boxing, Canoeing, Sailing 3 Total 27 Using Figure 7, identify the activity with the greatest number of reported doping cases and calculate the percentage as a proportion of the total cases.

5 Science Biology ) Figure 3 shows the percentages of adults in the UK who have coronary heart disease. Figure 3 Calculate the difference in the percentage of male and female adults aged 65 and over who have coronary heart disease.... % () ) 8 (%) 2) Some snails ate some lettuces. The lettuces contained 000 kj of energy. Only 0% of this energy was transferred to the snails. Calculate the energy transferred to the snails from the lettuces.... Energy =... kj 2) ( =) 00 (kj) ()

6 Chemistry ) The percentage atom economy for a reaction is calculated using: The equation for the reaction of copper carbonate and sulfuric acid is: CuCO 3 + H 2SO 4 CuSO 4 + H 2O + CO 2 Relative formula masses : CuCO 3 = 23.5; H 2SO 4 = 98.0; CuSO 4 = 59.5 Calculate the percentage atom economy for making copper sulfate from copper carbonate Atom economy =... % (3) ) Total mass of reactants = (%) allow ecf from step allow 72.0 with no working shown for 3 marks

7 2) Stainless steel is an alloy of iron, chromium and nickel. The diagram below represents the particles in stainless steel. Particle diagram of stainless steal Use the diagram to complete the percentages of metals in this stainless steel. The first one has been done for you. Element Percentage (%) Iron, Fe 72 Chromium, Cr Nickel, Ni (2) 2) (Chromium =) 20 in correct order (Nickel =) 8 accept Chromium = 8 and Nickel = 20 for mark Physics When the total energy input to the solar cells is 200 joules, the useful energy output from the solar cells to the batteries is 50 joules. Calculate the efficiency of the solar cells. Efficiency =... (2)

8 (b) 25% or 0.25 allow mark for correct substitution, ie provided no subsequent step shown or answers of 25 with a unit or 0.25 with a unit gain mark answers of 25 without a unit or 0.25% gain mark 2 Burning kg of wood transfers 5 MJ of energy to the stove. The stove then transfers 3.5 MJ of energy to the room. Calculate the efficiency of the stove. Show clearly how you work out your answer. Efficiency =... (2) (b) 90% or 0.9(0) allow mark for correct substitution, ie provided no subsequent step shown an answer of 90 scores mark an answer of 90 / 0.90 with a unit scores mark 2