THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 5 by smoothmaths | Jul 26, 2020 | 0 comments Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 5 Time allowed: 1 hour 15 minutesInstructions:• Please write in pencil.• Please try all the questions.If you cannot answer a question, go on to the next one.• Do your rough working in the space near each question.Do not rub out your working as you may get marks for it.• Calculators and rulers are NOT allowed. 1. Work out 2567 + 82433913381239123813389 2. Work out 8709 - 63780728172806281628200 3. Work out 578 × 423122382201220822282 4. Work out 1548 ÷ 6258208251250248 5. Write in figures the number three hundred thousand and thirty.30003030030303033030300 6. Write the next two numbers in each sequence: (a) 98, 92, 86, 80, ———— , ————74,6874,6773,6572,6275,69 (b) 1, 2, 4, 7, 11, ———— , ————16,2215,2014,1917,2218,26 7. A number is multiplied by 100 to give 2030 What is the number?20.32032.030.2030.0203 8. Work out 2/3 of 815444502064 9. Circle the two numbers from the list below which have a total of 0.150.6 0.1 0.09 0.5 0.14 0.060.09,0.060.6,0.50.1,0.140.09,0.60.6,0.14 10. Write these decimals in order of size, starting with the smallest: 2.3 2.23 2.303 2.2032.203,2.23,2.3,2.3032.203,2.3,2.23,2.3032.3,2.23,2.203,2.3032.23.2.203,2.303,2.32.303,2.3,2.23,2.203 11. Fill in the boxes below.(a) 45 + ———— = 600555565665666566 (b) 360 ÷ 10 = 3.6 × ————1011000.10.001 (c) 24 ÷ ( ———— - 8 ) = 6128101618 12. A pineapple costs £2.47 James has a £10 note.He buys as many pineapples as he can with his £10 note.(a) How many pineapples does James buy?45362 (b) How much change should James receive from his £10 note?12p22p10p8p14p 13. (a) Shade in 3/5 of the shape below. (b) Shade in 70% of the shape below. (c) Which is bigger, 3/5 or 70%?Give a reason for your answer.70%\[\frac{3}{8}\]both are equalboth a & bnone of the above 14. On Christmas Eve, the temperature in Cold City was -12°C.At the same time, the temperature in Tropical Town was 20°C.(a) Howmany degrees hotterwas it in Tropical Town than in Cold City?32822-3242 By Christmas Day, the temperature in Cold City had risen by 5°C.(b) What was the temperature in Cold City on Christmas Day?-717768 15. (a) The number machine below changes numbers according to the rule subtract 3 and then multiply by 2(i) Complete the input and output table for this machine. (ii) There is one number where the output is the same as the input.What is the number?63589 (b) A different number machine produces the input and output table below.What is the rule for this number machine?÷2,+5÷3.+4÷2,+6÷4,x2÷5,-3 16. Caley starts with a number, doubles it and then subtracts 7The result is 31What number did Caley start with?1913101215 17. Becky is 10½ years old. Her brother is exactly 1 year and 8 months younger than Becky.How old is her brother?Answer: ———— years ———— months8 yrs 10 mths8 yrs 5 mths7 yrs 10 mths8 yrs 6 mths6 yrs 5 mths 18. The start and finish times of a film are shown on this notice. For how long did the film last? Answer: ———— hours ———— 2 hrs 49 mins3 hrs 10 mins2 hrs 10 mins3 hrs 45 mins2 hrs 30 mins 19. Jasper is making fairy cakes. A recipe to make 24 fairy cakes requires the followingingredients:(a) How much flour is needed to make 12 fairy cakes?115g110g100g150g215g Jasper decides to make 36 fairy cakes.(b) Work out the amount of each ingredient which Jasper needs.The chocolate icing for 24 cakes uses 60 grams of cocoa powder.Jasper decides to put chocolate icing on only half of his 36 fairy cakes.345g flour,345g butter,345g sugar,6 eggs345g flour,345g butter,345g sugar,2 eggs153g flour,153g butter,153g sugar,6 eggs230g flour,230g butter,230g sugar,4 eggs415g flour,415g butter,415g sugar,8 eggs (c) How much cocoa powder does he use?45g75g35g55g80g 20. At the end of 2011, there were 1234 members of Feel Fit Gym.During the year, 167 members had joined the gym and 38 had left.How many members were there at the start of 2011?11051115109511951005 21. Here are 4 number cards: The cards can be put together to form the number 2954(a) Put all 4 cards together to make(i) the largest possible odd number94254295425992455249 (ii) the smallest possible multiple of 524954295924529454925 (b) Putting only 2 of the cards together, what is the largest possible square number?4952949295 (c) Arrange the number cards to give the largest possible answer to the subtractionbelow.———— ———— - ———— ————95-2492-5494-5254-2959-29 22. (a) What mass is shown on the scale below?160g150g200g120g100g (b) On the scale below, draw an arrow to represent one tenth of 2 kilograms. 23. In each part below, circle the most sensible unit to measure(a) the mass of a man grams tonnes kilogramskilogramsgramstonnesmiligramslitre (b) the volume of water in a bathmillilitres litres incheslitresmililtresincheskilogramsgrams 24. Kate originally had 1 litre of water in a jug. She poured out some water and the diagramshows how much water is left in the jug.How much water has Kate poured out from the jug?600ml400ml500ml700ml300ml 25. (a) Circle any shapes below which have only 1 line of symmetry. (b) Draw all the lines of symmetry on the shape below. (c) Reflect the shape in the dashed line. (d) Complete the diagram below so that the finished pattern has symmetry in thedashed line. 26. Below are some shapes drawn on a centimetre-squared grid.(a) What is the perimeter of shape E?14cm12cm10cm11cm8cm (b) (i) Which 2 shapes will fit together to form a square?B & FA & EC & DA & FA & E (ii) What is the area of the square formed?9\[cm^{2}\]12\[cm^{2}\]15\[cm^{2}\]18\[cm^{2}\]4\[cm^{2}\] (c) Which 2 shapes will fit together to form a rectangle?A&EB&DC & FA&FB&F 27. Point A is plotted on the coordinate grid below.Point B has coordinates (7, 8)(a) On the grid above, plot and label point B. Point M is exactly halfway between points A and B.(b) What are the coordinates of point M?(4,5)(7,8)(5,4)(1,2)(3,6) (c) Write down the coordinates of any other point which is exactly the same distancefrom point A as it is from point B.(6,3)(3,6)(5,4)(2,7)all of the above 28. Kate asked some people to tell her their favourite character in the Wizard of Oz.Here is a pie chart showing her results:(a) What percentage of the people she asked liked Toto best?0.250.50.150.750.3 (b) What fraction of the people she asked liked the Tin Man best?4420444199442004420144230 24 people said that they liked Dorothy best.(c) How many more people liked Dorothy than the Scarecrow?1830222048 29. Each diagram below shows a fair spinner.It is equally likely to land on any of the 6 sections.For each spinner, write a number in each section so that(a) it is certain to land on 2 (b) there is an even chance of it landing on 5 (c) it is twice as likely to land on 4 as on 3. 30. A cube has a different symbol printed on each face.The face with a circle is exactly opposite the face with a star.Circle the diagram below which cannot be a net of this cube. 31. Robert has 70 identical cube bricks.He uses some of his bricks to make this cuboid:From his remaining bricks, he uses some to make the largest cube that he can.How many bricks does he use to make the cube?27961836 32. Vanessa is practising for her violin exam.Here is a table showing the number of minutes which she spentpractising her violin on 5 days last week.(a) Work out her total practice time for these 5 days.55min45min49min41min40min (b) Work out her mean (average) practice time for these 5 days.11min9min10min8min12min Vanessa also practised on Saturday.Her mean practice time for all 6 days was 15 minutes.(c) Work out for how many minutes Vanessa practised on Saturday.35min145min52min45min25min 33. In a survey of 40 people, 23 were male.Of the females, 11 were born in the UK.Altogether, 28 people were born in the UK.Some of this information has been put into the table below.Complete the table. 34. In a race, the 4 fastest people were David, Chris, Al and Sam.Use the following information to work out the order in which they finished:• David was faster than Al.• Chris was faster than Sam.• Al finished 2 places after Chris.• Sam was not in 3rd place.Answer: 1st place ———— 2nd place ———— 3rd place ———— 4th place ————1st place=Chris,2nd place=David,3rd place=Al,4th place=Sam1st place=David,2nd place=Chris,3rd place=Al,4th place=Sam1st place=Chris,2nd place=David,3rd place=Sam,4th place=Al1st place=David,2nd place=Chris,3rd place=Sam,4th place=Al1st place=Al,2nd place=Sam,3rd place=David,4th place=Chris 35. This is the start of a pattern of shapes:(a) Circle the picture below which would be the 9th shape in the pattern. (b) Circle the picture below which would be the 14th shape in the pattern. (c) Which is the first shape in the pattern (after shape 1) which is identical to shape 1?131511912 (d) Complete the picture below to show the 27th shape in the pattern. 36. When Helen hangs out her washing on the line, shealways uses 3 pegs for a shirt and 2 pegs for a jumper.(a) On Monday, Helen hangs 8 shirts and 4 jumpers on the washing line.How many pegs does she use?3256162448 (b) On Wednesday, Helen hangs 5 shirts and some jumpers on the line.She uses 21 pegs altogether.How many jumpers does Helen hang on the line?3691224 (c) On Friday, Helen uses 65 pegs.She hangs an equal number of shirts and jumpers on the line.How many shirts does she hang on the washing line on Friday?1310651520 37. The time in New York is 5 hours behind the time in London.The time in Addis Ababa is 2 hours ahead of the time in London.(a) When it is 16.42 in London, what time is it in New York?0.48750.43750.5104166670.3888888890.53125 (b) When it is 12.37 in New York, what time is it in Addis Ababa?0.8173611110.7340277780.6923611110.7756944440.859027778 (c) An aeroplane leaves Addis Ababa at 19.00 on Tuesday and travels to New York.The whole journey takes 14 hours.At what time and on which day does it arrive in New York?02:00 on Wednesday12:00 on Wednesday02:00 on Monday04:00 on Wednesday02:00 on Thursday 38. In the calculations below, each symbol represents a different number.Work out the value of each symbol.2,4,0,6,34,2,0,6,32,4,6,0,32,4,0,3,63,6,0,4,2 39. A photograph, which measures 12 centimetres by 15 centimetres,is mounted on a piece of red card so that there is a border of3 centimetres all the way round the photograph.What area of red card is showing?198\[cm^{2}\]298\[cm^{2}\]108\[cm^{2}\]18\[cm^{2}\]218\[cm^{2}\] 40. Suki writes a list of all the whole numbers from 1 to 19 inclusive.She realises that, since the numbers from 10 to 19 have 2 digits each, she has writtendown 29 digits in total.Suki continues her list until she has written down all of the whole numbers from1 to 99 inclusive.(a) How many digits has she written down in total?189180179200199 (b) How many times has she written down the digit 9?2019101525 (c) If she adds up all of the digits which she has written down, what is the total?9008007001000180 41. On planet Dichotomy, there are two tribes, Honestians and Liarists.Honestians always tell the truth.Liarists always lie.The first 2 people you meet are called Paul and Simon.Paul says, “We are both liarists.”Work out which tribe each person belongs to.Answer: Paul is a ———— Simon is a ————Paul=Liarist,Simen=HonestianPaul=Honestian,Simen=LiaristPaul=Liarist,Simen=LiaristPaul=Honestian,Simen=Honestiannone of the above Time is Up!