OnScreen Calculator Test With annotated answers at the

Question 13 The members of a Maths department were given the number of pupils

Question 14 A Drama teacher is organising a theatre trip. There are 32 pupils

Question A Physics teacher used a box and whisker diagram (shown below) 15 to

Question 16 A coach carrying a school trip has to arrive at Bourg St

Question 17 A MFL department decide to ask 20, Yr 9 pupils how much

Question 18 A MFL teacher has Spanish, French and German lessons on his timetable.

Question 13 secondary schools in a local cluster group compared their GCSE 19 Percentage

Question A D&T department are moderating exams and they have selected 4 pupils 20

Question An English department set targets for next year by analysing the 21 percentage

Question 22 A school trip travels to France on the Euro Star. A pupil

Question 23 The pie charts show the number of pupils achieving each grade in

A group of 25 pupils took an end of term maths exam. There were

Question 25 A teacher is organising a D of E silver expedition. She works

Question 26 A school monitored the absence rate of its KS 3 pupils over

Question 27 Using the tables which year group’s range had the largest percentage absence?

Question 28 A school decides to raise money for 3 local charities by completing

Question 13 secondary schools in a local cluster group compared their GCSE 19 5

The pie charts show the number of pupils achieving each grade in GCSE Maths

Slides: 34

Download presentation

On-Screen Calculator Test With annotated answers at the end

Question 13 The members of a Maths department were given the number of pupils who achieved an A* grade for previous year. The table is shown below. Class Number of pupils gaining an A* in maths A B C D 30 30 26 26 8 7 5 5 What percentage of the pupils gained an A* in maths? Give your answer to the nearest percentage. ______

Question 14 A Drama teacher is organising a theatre trip. There are 32 pupils and 3 teachers in the group. For a group booking the total tickets cost £ 376. 75 and the travel by coach works out at £ 2. 65 each. How much will each person have to pay to cover the cost of the travel and tickets? £_______

Question A Physics teacher used a box and whisker diagram (shown below) 15 to track the performance of her 28 pupils in a series of tests. Using both the diagram and the table, showing the conversion from Percentage Mark percentage mark to grade, indicate which statements are true. 80 Percentage Mark Grade 70 30 to 39 E 40 to 49 D 50 to 59 C 60 to 69 B 70 to 79 A 80 or more A* 60 50 40 30 Test 1 Test 2 Test 3 Test 4 A) Someone achieved an A* in Test 1 B) 7 pupils achieved a grade A or A* in test 4 C) Over 75% of pupils achieved a Grade C or higher in test 3 _______

Question 17 A MFL department decide to ask 20, Yr 9 pupils how much time (on average each school night) they spent studying for their French exam. Then compared the data with their final percentage mark. The results are shown in the scatter diagram. Indicate the true statements. 1) The range of marks is 50 2) 30% of the pupils spent longer than 30 minutes studying 3) 95% of the pupils got a higher final mark than their number of minutes studying _____

Question 13 secondary schools in a local cluster group compared their GCSE 19 Percentage in 2016 5 A* to C results for 2015 and 2016. Indicate the true statements. 1) Percentage in 2015 More than half the schools improved their results from 2015 to 2016 2) The median percentage and the modal percentage of pupils gaining at least 5 A* to C in 2016 was the same. 3) The highest number of pupils achieving at least 5 A* to C in any school was more than 85% in 2015 4) The mean percentage in 2016 was over 60% _______

Question An English department set targets for next year by analysing the 21 percentage of English GCSE grades A* to C attained over the last 6 years. 65 Indicate the true statements. 57 46 46 2012 2013 51 33 2011 2014 2015 2016 A)The percentage of GCSE A* to C has improved each year B) Mean percentage GCSE grade A* to C for the last 5 years was 53% C) The percentage of GCSE grades A* to C increased by more than 100% from 2011 to 2016 D) The fraction of GCSE grades A* to C in 2016 was 13/20 ________

Question 22 A school trip travels to France on the Euro Star. A pupil buys a tuna baguette, bag of crisps, chocolate bar and orange juice. He pays with a £ 10 note and is given change in euros. How many euros is the pupil given? Price List Cheese sandwich Tuna baguette Ham & cheese roll Crisps Chocolate bar Coffee Tea Orange juice Exchange rate: £ 3. 75 £ 4. 25 £ 4. 50 90 p £ 1. 20 £ 2. 10 £ 1. 90 £ 1. 25 £ 1 = 1. 15 euros €______

Question 23 The pie charts show the number of pupils achieving each grade in GCSE Maths at a school in 2015 and 2016. 5; 3% 150 Pupils 2; 1%5; in 3%2016 10; 7% 120 Pupils in 2015 6; 5% 5; 4% 6; 5% 8; 7% Grade A* 15; 12% 12; 10% 35; 29% Grade A Grade B 15; 10% Grade C 25; 17% Grade D Grade E 25; 21% 15; 10% 28; 19% Grade F Grade G Grade U 45; 30% What was the percentage point difference in numbers of pupils obtaining grades A* to C from 2015 to 2016? _______%

A group of 25 pupils took an end of term maths exam. There were two papers (non-calculator and calculator). The results are shown on the bar chart below. Indicate the true statements. Number of pupils Question 24 10 9 8 7 6 5 4 3 2 1 0 Non-Calculator 0 - 20 21 - 40 41 - 60 61 - 80 81 - 100 1) Over 50% of the pupils achieved 61 marks or more on the calculator paper. 2) The median non-calculator mark was more than 60. 3) ⅕ of the pupils scored less than 41 on the calculator paper. _______

Question 26 A school monitored the absence rate of its KS 3 pupils over a 12 week period. The results are displayed in the chart below. 16 12 10 8 Year 7 6 Year 8 4 Year 9 2 ee 0 k W 11 ee k 1 2 W ee k 1 k 9 W ee k 8 W ee k 7 W ee k 6 W ee k 5 W ee k 4 W ee k 3 W ee k 2 W ee k 1 ee W 0 W Number of pupils 14 Which year group had the biggest range of absences? Year ___

Question 28 A school decides to raise money for 3 local charities by completing a sponsored run. The charities are in aid of an animal sanctuary, a hospice and a children’s hospital. The money raised is to be split in the ratio of 1: 2: 3 respectively. The amount raised per year group is shown in the table below. Year Total number of laps Average amount of money sponsored per lap (p) 7 258 55 8 286 52 9 385 62 10 418 68 11 405 65 How much money will be given to the hospice? Give your answer to the nearest £ £______

Annotated Answers

Question 13 The members of a Maths department were given the number of pupils who achieved an A* grade for previous year. The table is shown below. Class Number of pupils gaining an A* in maths A B C D 30 30 26 26 112 8 7 5 5 25 What percentage of the pupils gained an A* in maths? Give your answer to the nearest percentage. 8 + 7 + 5 + = 25 25 x 100 = 22. 3214 112 30 + 26 = 112 22%

Question A Physics teacher used a box and whisker diagram (shown below) 15 to track the performance of her 28 pupils in a series of tests. Using both the diagram and the table, showing the conversion from percentage mark to grade, indicate which statements are true. 25% of 28 = 7 pupils Percentage Mark Over 75% 30 to 39 Percentage Mark 80 70 60 50 40 Grade E 40 to 49 D 50 to 59 C 60 to 69 B 70 to 79 A 80 or more A* 30 Test 1 Test 2 Test 3 Test 4 A) Someone achieved an A* in Test 1 B) 7 pupils achieved a grade A or A* in test 4 C) Over 75% of pupils achieved a Grade C or higher in test 3 B and C

Question 16 A coach carrying a school trip has to arrive at Bourg St Maurice station by 13: 15. The station is 96 km away and the coach travels at an average speed of 52 mph. Using the fact that 5 miles is approx equal to 8 km, what is the latest time that the coach must leave for the station? Convert 96 km into miles as the speed is given in mph 5 miles = 8 km X 12 60 ? miles = 96 km Use Speed, Distance, Time triangle to calculate the time of the journey Time = 60 miles = 1. 1538 x by 60 to change this decimal of an hour to minutes = 9. 23 mins hrs 52 mph 1 hr 9. 23 mins So although this normally rounds down to 1 hr 9 mins, you must round up to 1 hr 10 mins so that the coach arrives in time. 13: 15 – 1 hr 10 mins = 12: 05

Question 17 A MFL department decide to ask 20, Yr 9 pupils how much time (on average each school night) they spent studying for their French exam. Then compared the data with their final percentage mark. The results are shown in the scatter diagram. Indicate the true statements. This line shows where the study time is the same as the final percentage mark. 70 – 30 = 40 10% of 20 is 2 30% of 20 is 6 19 out of 20 = 19 = 95% 20 1) The range of marks is 50 2) 30% of the pupils spent longer than 30 minutes studying 3) 95% of the pupils got a higher final mark than their number of minutes studying Statements 2 and 3

Question 18 A MFL teacher has Spanish, French and German lessons on his timetable. The proportion given to each is shown in the table below. Language Proportion of Time Spanish Two-fifths 9. 6 hours French 45% German 100% - (40 + 45)% = 15% = 40% 10 hours 48 mins How much time does he spend teaching German? Give your answer in hours and minutes. ÷ 8 x 3 40% = 9. 6 hours 5% = 1. 2 hours 15% = 3. 6 hours ÷ 8 x 3 3. 6 hours is 3 hours and 0. 6 of an hour 3 hours and 0. 6 x 60 mins 3 hours and 36 mins 3 hrs 36

Question 13 secondary schools in a local cluster group compared their GCSE 19 5 A* to C results for 2015 and 2016. Indicate the true statements. Percentage in 2016 This 48 line shows all the 52 schools where 52 2015 and 2016 56 results are the 56 same. To 56 calculate the median 58 school 601 = 14 = 7 th school 13 + 64 2 2 72 72 78 86 + 810 ÷ 13 = 62. 3% 810 1) Percentage in 2015 More than half the schools improved their results from 2015 to 2016 2) The median percentage and the modal percentage of pupils gaining at least 5 A* to C in 2016 was the same. 3) The highest number of pupils achieving at least 5 A* to C in any school was more than 85% in 2015 4) The mean percentage in 2016 was over 60% Statements 1

Question A D&T department are moderating exams and they have selected 4 pupils 20 to check their grades. They use the formula and the grade boundaries below to calculated the final grade. Final percentage mark = mark) Coursework percentage mark + (2 x practice exam percentage 3 Calculate the missing grades. Watch out – you must change the marks to percentages before calculating the grades Pup il Coursework mark out ÷ 4 x 10 of= 40 % or use the method you are happy with 1 21 2 25 3 8 52. 5% 62. 5% 20% 92. 5% Practical mark out of x 50 2=% Final Grade 64% B ? C ? D 32 28 23 40 4 37 Pupil 1 52. 5 + (2 x 64) = 60. 2% = B 3 Pupil 2 62. 5 + (2 x 56) = 58. 2% = C 3 56% 46% Grade Percentage A* 90 - 100 A 75 - 89 B 60 - 74 C 45 - 59 ? D A ? Pupil 3 20 + (2 x 46) = 37. 3% = D 3 80% Pupil 4 92. 5 + (2 x 80) = 84. 2% = A 3 30 - 44 B, C, D, A

Question An English department set targets for next year by analysing the 21 percentage of English GCSE grades A* to C attained over the last 6 years. 65 57 46 46 51 Remained the same so no improvement 33 2011 33 x 2 ==66% 65/100 13/20 Indicate the true statements. 65 + 57 + 51 + 46 x 100 = 53% 5 2012 2013 2014 2015 2016 A)The percentage of GCSE A* to C has improved each year B) Mean percentage GCSE grade A* to C for the last 5 years was 53% C) The percentage of GCSE grades A* to C increased by more than 100% from 2011 to 2016 D) The fraction of GCSE grades A* to C in 2016 was 13/20 Statements B and D

The pie charts show the number of pupils achieving each grade in GCSE Maths at a school 5; 3%in 2015 and 2016. Question 23 150 Pupils 2; 1%5; in 3%2016 120 Pupils in 2015 6; 5% 5; 4% 6; 5% 10; 7% 8; 7% Grade A* Grade A 15; 12% 8; 7% Grade B 15; 10% Grade C 12; 10% 35; 29% 15; 10% 25; 17% Grade D Grade E 25; 21% 28; 19% Grade F Grade G Grade U 45; 30% What was the percentage point difference in numbers of pupils obtaining grades A* to C from 2015 to 2016? 2015 Watch out, the information (8 + 15 + 12 + 25) = 60 = 50% 120 is 2016 given(5 as numbers + 15 + 25 + 45) = of 90 pupils = 9 = 3 =and 60% 150 15 5 are being asked about the percentage of pupils. 10% you

A group of 25 pupils took an end of term maths exam. There were two papers (non-calculator and calculator). The results are shown on the bar chart below. Indicate the true statements. Number of pupils Question 24 10 9 8 7 6 5 4 3 2 1 0 9 median 7 5 4 Median of 25 pupils is the 1+ 54===12 513 th pupil (257+ + 1) 2 125==48% 1 1 +25 225+ 9 5= 12 pupils So the 13 th pupil must be in Non-Calc the Calculator 61 – 80 marks group 2 1 1 0 - 20 21 - 40 41 - 60 61 - 80 81 - 100 Marks 1) Over 50% of the pupils achieved 61 marks or more on the calculator paper. 2) The median non-calculator mark was more than 60. 3) ⅕ of the pupils scored less than 41 on the calculator paper. Statements 2 and

Question 25 A teacher is organising a D of E silver expedition. She works out that the total minibus journey will be 415 miles. Petrol costs £ 1. 12 per litre and the minibus can travel 28 miles per gallon. Using the information that 1 gallon = 4. 546 litres what will be the cost of the fuel for the trip? Give your answer to the nearest £. Firstly calculate how many gallons of petrol is needed. 415 miles ÷ 28 miles = 14. 821 gallons Then convert 14. 821 gallons into litres. 1 gallons = 4. 546 l X 14. 821 gallons = 67. 37 ? l Finally calculate how much 67. 37 l will cost. 1 litre costs £ 1. 12 67. 37 litres costs (67. 37 x £ 1. 12) = £ 75. 45 To the nearest £ will be £ 75

Question 26 A school monitored the absence rate of its KS 3 pupils over a 12 week period. The results are displayed in the chart below. 16 Number of pupils 14 12 10 8 Year 7 6 Year 8 4 Year 9 2 0 Week. Week 1 2 3 4 5 6 7 8 9 10 11 12 Which year group had the biggest range of absences? Year 8 14 – 2 = 12 15 – 1 = 14 Year 9 13 – 0 = 13 Year 7 Year 8

Question 27 Using the tables which year group’s range had the largest percentage absence? 16 14 Year No of pupils Year 7 7 128 Year 8 8 180 9 150 10 8 6 4 Year 9 2 ee W k 1 ee W k 2 ee W k 3 ee W k 4 ee W k 5 ee W k 6 ee W k 7 ee W k 8 e W ek 9 ee W k 10 ee W k 11 ee k 1 2 0 W Number of pupils 12 Year 7 14 – 2 = 12 12 ÷ 128 x 100 = 9. 4% Year 8 15 – 1 = 14 14 ÷ 180 x 100 = 7. 8% Year 9 13 – 0 = 13 13 ÷ 150 x 100 = 8. 7% Year 7

Question 28 A school decides to raise money for 3 local charities by completing a sponsored run. The charities are in aid of an animal sanctuary, a hospice and a children’s hospital. The money raised is to be split in the ratio of 1: 2: 3 respectively. The amount raised per year group is shown in the table below. Year Total number of laps Average amount of money sponsored per lap (p) 7 258 X 8 286 9 Year group Total raised 55 7 £ 141. 90 X 52 8 £ 148. 72 385 X 62 9 £ 238. 70 10 418 X 68 10 £ 284. 24 11 405 X 65 11 £ 263. 25 Total £ 1076. 81 How much money will be given to the hospice? Give your answer to the nearest £ 1 + 2 + 3 = 6 parts £ 1076. 81 ÷ 6 = £ 179. 468 The hospice gets 2 parts x £ 179. 468 = £ 358. 94 £ 359