THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 1 (2008-2016) Paper 2 by smoothmaths | Jul 5, 2020 | 0 comments Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 1 (2008-2016) Paper 2 1. 2742727327568932742727500 2. 4109641046408964009640826 3. 814811.5800765820 4. Find †he difference between 2.7 metres and 32 centimetres.Give your answer in metres.2.38m30.70m2.48m0.38m0.28m 5. What fraction of a minute is 40 seconds?\[\frac{2}{3}\]\[\frac{4}{6}\]\[\frac{1}{3}\]\[\frac{3}{2}\]both a & b 6. Put the following fractions in order, starting with the smallest. \[\frac{2}{3}\],\[\frac{3}{5}\],\[\frac{29}{45}\] \[\frac{3}{5}\] , \[\frac{29}{45}\] , \[\frac{2}{3}\]\[\frac{3}{5}\] , \[\frac{2}{3}\] , \[\frac{29}{45}\]\[\frac{2}{3}\] , \[\frac{29}{45}\] , \[\frac{3}{5}\]\[\frac{29}{45}\] , \[\frac{3}{5}\] , \[\frac{2}{3}\]\[\frac{29}{45}\] , \[\frac{2}{3}\] , \[\frac{3}{5}\] 7. Which is the smallest number? 0.54 0.092 0.635 0.30.0920.540.6350.3none of the above 8. Which number between 55 and 65 can be divided exactly by 9?6357566458 9. Which number between 140 and t70 can be divided exactIy by both 8 and 9?144164156148150 10. Add together the following numbers and write your answer in figures. nine million eleven thousand twelve hundred thirteen90122132513100912213900122139011321 11. The diagram shows the distances between some cities. If the total distance travelled from Lisbon to Munich is 2730 km, how far was the journey from Madrid to Paris ?1255km4205km1265km1355km1356km 12. Sonal wishes to buy o magazine priced at £2.28. a) What is the least number of coins she could use †o reach the exact price?5 coins4 coins3 coins2 coins6 coins b) Miriam pays for two of these mogozines with a CIO note. How much change should she receive? £ 5.44£ 5.54£ 54.4£ 5£ 5.45 13. a. Complete the table of values for this number machine with the rule 'multiply by 4, then subtract 3 . Number IN Number OUT 7 25 2 5 10 ______ _____ 81 21,3721,3518,3721,3415,37 b. What is the rule for this number machine? Write your answer inside the machine. Number IN Number OUT 2 17 7 52 9 66 10 73 x by7 then +3x by6 then +3x by7 then -3x by5 then +3x by7 then +4 14. On her birthday last year, Emily was 140cm tall. When she measured herself on her birthday today, she calculated that she had grown by a fifth of the height she was a year ago. a) How tall is she now?168cm160cm170cm158cm180cm b) Emily’s brother, Jack, is now 105cm tall, having grown by one sixth of his height a year ago. how tall was Jack one year ago?90cm60cm80cm50cm40cm 15. 32 students and 4 members of staff from Encrypt School are going to a lecture on code-breaking. How much will the tickets cost in total for the school party ?£ 463£ 453£ 175£ 400£ 345 16. The scale is measured in degrees Celsius, °C. a) What temperature does the thermometer show?2321222425 b. What temperature does this thermometer show? -12-8-14-11-13 C. What is the difference between these two temperatures in °C ?3511-3525-15 d. A flow chart for converting ”C into degrees Fahrenheit, °F, is i) What temperature is 20 °C in °F?6898645975 ii) What temperature is 59 °F in °C?157648.611611.6 17. The time in Athens is two hours ahead of the time in London. For examplewhen it is 15:00 in London it is t7:00 in Athens. a. Noni flies directly to Athens from London, departing of 08:20 hours. If the journey from London takes 3 hours 45 minutes, at what time, local to Athens, will Nani arrive in Athens?14:0502:0512:0512:00both a&b b. It takes the some time to fly from Athens to London as it takes from London to Athens. Noni leaves Athens airport at t9:l5 hours. At what time will she reach London (local time)?21:0023:0017:1520:0022:45 18. The graph shows how a freshly made cup of tea cools over time. a) What is the temperature of the tea 1 minute after it has been made?6665646770 b) After how many minutes and seconds has the tea's temperature cooled to 45°C?4 mins 24 secs4 mins 12 secs3 mins 48 secs4 mins 36 secs4 mins 30 secs c) How long does it take for the tea to halve its original temperature? Give your answer in minutes and seconds.5 mins 48 secs5 mins 36 secs2 mins 30 secs6 mins 0 sec4 mins 36 secs d) What is the temperature of the tea 3 minutes 48 seconds after it was mode?4846404445 19. How many triangles are there in this diagram? 19137916 20. What is the area of this shape? 16 \[units^{2}\]24 \[units^{2}\]22 \[units^{2}\]8 \[units^{2}\]32 \[units^{2}\] 21. This is a loose sheet from a newspaper with 64 pages. What is the missing page number? 5971586966 22. a) Put a cross on the mop where this signpost should go. b) Using the mop above what is the shortest route from the park to the cinema?815m515m685m775m790m 23. It takes me half an hour to fill the paddling pool to a depth of 20cm using One hose. a) How lon9 will it toke to fill it to the same depth if I use two hoses?15 mins60 mins10 mins40 mins20 mins b) How long will it take to fill it to a depth of 30cm if I use 3 hoses?15 mins10 mins60 mins20 mins25 mins 24. 72 pupils were asked to choose their favourite type of film.The results ore shown in the diagram. a) How many pupils chose Comedy?1813151220 b) What angle should be in the sector representing Romance?502508060150 25. What fraction of this diagram is shaded? \[\frac{3}{16}\]\[\frac{3}{15}\]\[\frac{1}{16}\]\[\frac{1}{3}\]\[\frac{1}{2}\] 26. Shade \[\frac{3}{8}\] of this diagram. 27. Fred is facing south. He turns through 45° in a clockwise direction. a) Which direction is Fred now facing?SWNWSENES b) Johnny is facing west. How many degrees would he need to turn, clockwise, to face north east?135125145130150 c) What is the size of the reflex angle between NE and W?225235245215200 d) Sandra is facing N and turns clockwise through 495°. In which directionis she now facing?SENESWNWS 28. a) what are the values of X and Y ?x=2cm,y=6cmx=2cm,y=8cmx=14cm,y=6cmx=2cm,y=24cmx=4cm,y=6cm b) What is the perimeter of the shape?52cm56cm76cm88cm64cm c) What is the area of the shape?72\[cm^{2}\]62\[cm^{2}\]82\[cm^{2}\]70\[cm^{2}\]65\[cm^{2}\] 29. A ship is being tracked by a satellite. a) Plot the following points on the grid below to show the position of the ship at different times. 3pm (1,4) 4pm (1,8) 5pm (6,8) 6pm (6,5) 7pm (1,4) b) Join the points in order. What is the name of the shape you have drown?TrapeziumSquareRectangleTriangleParalellogram 30. Here are three patterns. a) Choose the next pattern in the sequence. Tick the correct box. b. Complete the table Pattern Number 1 2 3 4 5 Number of dots 5 9 13 31. Nine identical squares are glued together to form the figure. The perimeter of the figure is 160cm. a) Find the length of the side of each small square. 10cm15cm20cm12cm25cm b) Find the area of each small square .100\[cm^{2}\]225\[cm^{2}\]400\[cm^{2}\]144\[cm^{2}\]625\[cm^{2}\] c) Find the area of the whole figure.900\[cm^{2}\]2025\[cm^{2}\]3600\[cm^{2}\]1296\[cm^{2}\]5625\[cm^{2}\] 32. Amir, Anna and Arjun have bought some fruit at a market stall. Amir bought 2 Pears and 1 Mango for £1.35 Anna bought 1 Pear and 2 Mangos for £1.20 Arjun bought 1 Pear, 1 Mango and 1 Apple for £1 How much, in pence, did the apple cost?15p25p18p20p25p 33. 72 ladies attending a garden party were each wearing a pair of gloves. Some ladies lost their gloves. The ratio of ladies who lost gloves to the ladies who did not lose any gloves was 5:13. a) What fraction of ladies lost their gloves?\[\frac{5}{18}\]\[\frac{5}{9}\]\[\frac{18}{5}\]\[\frac{1}{3}\]\[\frac{1}{18}\] 52 ladies did not lose their gloves.Some ladies lost one glove and some lost both gloves. After the party, the 29 missing gloves were found. b. How many ladies lost only one glove?116991518 34. Dominic, Hannah and Abdul have 36 sweets between them. Dominic has half as many sweets Qs Hannah. Abdul hos 3 times as many sweets as Hannah. How many sweets does Abdul have?2412183620 513248 64983 9 or -86 or -73 or -54 or -62 or -4 36. Each letter from A to I is e code for one of the digits 1, 2, 3, 4, 5, 6, 7, 8 or 9. We already know that H = 2 and I = 7 H + I = 9 H x I = 14 and HI means 27 Now crock the rest of the code using the following: G x C = 30 D + D = A D x D = BC D + E = BF E + E = BA E x E= AB D x E= FC Answer: A=? B=? C=? D=? E=? F=? G=?A=8,B=1,C=6,D=4,E=9,F=3,G=5A=8,B=2,C=6,D=4,E=9,F=3,G=5A=8,B=1,C=6,D=4,E=7,F=3,G=5A=4,B=1,C=6,D=4,E=9,F=3,G=5A=8,B=1,C=6,D=4,E=9,F=3,G=6 37. Jessica arranges numbers in rows to get a triangular arrangement. The first four rows are shown below. a) What is the last number in row 12?14416910012124 b) How many numbers ore there in the 20th row? Answer:%BLANK%3929404919 c) In which row are there 21 numbers?111012915 d) Jessica works out the mean (average) of the numbers in each row. Row 1 2 3 4 Mean 1 3 7 13 What is the mean of the numbers in row 10?91817110161 e) What is the sum of numbers in the 8th row?855342825588785 Time is Up!