THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 8 by smoothmaths | Jul 30, 2020 | 0 comments Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 8 1. Work out 2345 + 67830233013392320232913 2. Work out 2345 - 67816671767167626672777 3. Work out 3024 × 82419224162240922406224892 4. Work out 3024 ÷ 9336326346236436 5. A third of a certain number is 27What is the number?8161719151 6. (a) Which number is 100 times larger than 0.405?40.50040.5040.5400.504500 (b) Which number is 1000 times smaller than 700?0.770.07700.007 7. Work out the sum of the numbers below: 0.7 0.04 1.0061.7461.530.711.161.756 8. Write a number in the box to complete the number sequence below: 94 ——— 80 73 668797778189 9. Circle the number in the list below that is closest to ½ 1/5 3/7 5/9 7/11\[\frac{5}{9}\]\[\frac{1}{5}\]\[\frac{3}{7}\]\[\frac{7}{11}\]\[\frac{11}{5}\] 10. Write these numbers in order of size, starting with the smallest: 3.4 3.34 3.304 3.0433.043,3.304,3.34,3.43.304,3.043,3.34,3.43.043,3.304,3.4,3.343.304,3.043,3.4,3.343.4,3.34,3.304,3.043 11. (a) Shade 40% of the shape below. (b) What fraction of the large square below is shaded?\[\frac{4}{9}\]\[\frac{3}{2}\]\[\frac{1}{9}\]\[\frac{3}{4}\]\[\frac{9}{4}\] 12. Write the missing numbers in the boxes to make the calculations correct.(a) 17 + ———— = 23 × 22923263025 (b) 9 + (5 × 7) = 47 - ————34568 (c) ———— × 16 = 36 ÷ 9\[\frac{1}{4}\]4\[\frac{1}{2}\]\[\frac{1}{3}\]\[\frac{1}{5}\] 13. Wombley Arena can seat 7490 supporters when full.(a) Write this number to the nearest thousand.70007400760060008000 Bale Arena can seat 630 more supporters than Wombley Arena.(b) How many supporters can both arenas seat altogether?1561015410146101441014400 14. Lara and Cathy have each thought of a positive whole number less than 20The product of their numbers is 56 and the difference between them is 10What are their two numbers?14&412&414&213&416&4 15. (a) Amy has the two-stage number machine shown below.Complete the table of input and output numbers for Amy’s machine. (b) Hannah has a different number machine which has produced the following tableof input and output numbers.Unfortunately the labels have fallen off Hannah’s machine.Write suitable labels on the diagram below.Input=x3,Output=+1Input=x3,Output=-1Input=+3,Output=X1Input=+3,Output=-1Input=-3,Output=+1 16. Katy is going to the cinema to see a film that starts at 3.25 pm and lasts 108 minutes.At what time will the film end?Write your answer using the 24-hour clock.17:1316:1518:1315:1017:30 17. A shop sells coffee from Ethiopia.The prices for coffee beans and ground coffee are shown below.How much more does it cost to buy 250g of ground coffee than 250g of coffee beans?£ 2.9£ 3.9£ 4.9£ 3.1£ 2.5 18. Sandy needs 12 pizzas to feed 30 people.How many pizzas will she need to feed 35 people?14 pizza10 pizza20 pizza18 pizza16 pizza 19. Belinda ate 3/5 of a bar of chocolate.60 grams of chocolate remained.What was the original mass of the chocolate bar?150g300g250g350g400g 20. Agnes is thinking of a number which is• one more than a multiple of 5• one less than a prime number• a multiple of 9• less than 90What number is Agnes thinking of ?3637344626 21. Callum buys a new laptop costing £572.50He makes an initial payment of £136, and then pays the remainderin 6 equal monthly amounts.£ 72.75£ 72.50£ 74£ 73.75£ 79 22. Given that 900 ÷ 12 = 75, work out(a) 90 ÷ 127.5750.750.075750 (b) 900 ÷ 2437.5373635.2538 (c) 12 × 74888898988998778 (d) 75 × 3627001700370047005700 23. Draw all of the lines of symmetry on each shape below. 24. This scale shows the mass of a letter.The numbers around the outside are in grams (g), and the numbers inside the circlerepresent ounces (oz).(a) What is the mass of the letter in grams?70g50g60g80g40g (b) A parcel has a mass of 120 g.What is its mass in ounces?4.25oz4.15oz4.350z4oz4.75oz 25. Jessica was born on 5 January 2003 and her friend Amelia was born exactly 9 daysearlier.(a) On which date was Amelia born?27th December 200228th December 200227th December 200328th December 2003none of the above Jessica’s 12th birthday was on a Monday.(b) On what day of the week was Amelia’s 12th birthday?SaturdaySundayMondayFridayThursday 26. On the centimetre square grid below, draw a hexagon with area 12 cm². 27. Below is part of a train timetable:(a) Use the information below to complete the timetable.• Each train stops at all of the stations shown.• Train 1 takes 57 minutes to get from Spongeton to Squareford.• Each train takes the same amount of time to travel from Bobville to Pantsbridge.• Train 2 takes twice as long to travel from Bobville to Squareford as fromSpongeton to Bobville. (b) Which of these trains takes the longest to travel from Spongeton to Pantsbridge?Train 3Train 2Train 1both a&bnone of the above 28. Point K is plotted on the coordinate grid below.(a) Write down the coordinates of point K.(6,7)(6,1)(5,2)(7,6)(4,3) (b) Reflect point K in the dashed line m.Label this point L. (c) Join point K to point L with a straight line.Reflect this line in the dashed line p. 29. A cube has 6 faces, 12 edges and 8 vertices.The shape below has been made by joining two square-based pyramids to a cube.Complete the table to show the number of faces, edgesand vertices of the shape shown.Faces edges vertices 30. Di rolls three dice and adds the numbers showing on the top faces. She repeats this 240times, and draws a bar chart of her results, which is shown below.(a) Which two totals occur most often?10&119&1211&1210&129&11 (b) How many times did Di roll a square number?37 times39 times41 times31 times28 times (c) Di and Ed make up two games, based on Di’s results.Tick the relevant box in the table below to say who is most likely to win, orwhether there is an equal chance. 31. This clock has been reflected in a mirror.What is the actual time on the clock?10:40pm10:20pm9:40pm2:20pm1:25pm 32. In the diagrams below, the perimeter of the square is equal to the perimeter of theisosceles triangle.Work out the length of the side marked d.8cm16cm28cm10cm20cm 33. (a) Six members of the Clark family have the following shoe sizes: 9 1½ 5 1½ 3 4For the Clark family, work out(i) the median shoe size3.57658 (ii) the mean shoe size43568 (b) Jane has recorded the shoe size of every girl in her class.Her results are shown in the table below.Jane says “The mode is 12”.Annabel says “The mode is 4”.Who is correct? Give a reason for your answer.Annabel because 4 is most repeatedJane because 4 is most repeatedAnnabel because 4 is not most repeatedJane because 12 is most repeatednone of the above 34. In a quiz with 20 questions, contestants are awarded 3 points for a correct answer, butlose 2 points for each wrong answer.Complete the table for the contestants below.The first one has already been done for you. 35. The shape below is made from two overlapping rectangles.One rectangle measures 5 cm by 4 cm.The other measures 8 cm by 6 cm.Given that the area of the section shaded black is 15 cm2, work out the area of thesection shaded grey.43\[cm^{2}\]48\[cm^{2}\]20\[cm^{2}\]42\[cm^{2}\]30\[cm^{2}\] 36. At the market, pineapples cost £1.40 each and mangoes cost 80 pence each.(a) Maddie spent the same amount on pineapples as she did on mangoes.Given that she bought at least one of each fruit, what is the smallest amount shecould have spent?£ 11.20£ 10.20£ 11.00£ 12.20£ 11.50 (b) Belinda spends £9 altogether on pineapples and mangoes.How many mangoes does she buy?6 mangoes5 mangoes4 mangoes7 mangoes3 mangoes 37. The diagram below is made from a number of equilateral triangles.How many equilateral triangles (of any size) can be found in the diagram?4825263842 38. The six cards below each have one number on the other side.The numbers, in order of increasing size, are: 2 5 6 10 12 23Use the clues below to work out which number is on which card. a × b = c b + c = d d ÷ b = eAnswer: a = ———— b = ———— c = ———— d = ———— e = ———— f = ————a=5,b=2,c=10,d=12,e=6,f=23a=2,b=5,c=10,d=12,e=6,f=23a=5,b=2,c=12,d=10,e=6,f=23a=5,b=2,c=10,d=12,e=23,f=6a=23,b=2,c=10,d=12,e=2,f=5 39. This cube has been formed by joining together small cubes.Some of the small cubes touch other cubes on exactly 3 faces,some touch on exactly 4 faces, some touch on exactly 5 faces,and some touch on all 6 faces.(a) For this cube, how many of the small cubes touchother cubes on exactly 4 faces?1218161024 Billy makes a larger cube using small cubes.54 of the small cubes touch other cubes on exactly 5 of their faces.(b) How many of the small cubes only touch other cubes on 3 of their faces?89765 (c) How many small cubes are there altogether in Billy’s larger cube?1254810090150 40. Nicole likes palindromic numbers.Palindromic numbers read the same backwards as forwards, for example: 44 323 1221 1234321 and so on.(a) 11, 22, 33, 44, 55 are all palindromic.What is the smallest multiple of 11 that is not palindromic?1101219913288 (b) What is the smallest number larger than 1000 that is palindromic?10011002101010031004 (c) Which two palindromic numbers less than 1000 have a difference of only 2?99&10198&100999&1001888&900777&779 The palindromic number 131 has a digit sum of 5 (since 1 + 3 + 1 = 5).(d) What is the only other palindromic number less than 1000 which has a digit sumof 5?212302104401121 (e) List all of the palindromic numbers between 1000 and a million which have adigit sum of 5111111030120102all of the abovenone of the above 41. The diagram below shows 7 train stations, labelled A to G, and the times, in minutes,taken to travel between stations.(a) Assuming that no time is added to the journey when a train passes through astation, work out the route that takes the shortest time to travel from A to G.You should list the stations in order.Your route does not need to pass through every station.E-D-B-C-FD-E-B-C-FE-D-C-B-FC-D-B-E-FF-C-B-D-E In reality, passing through a station adds 4 minutes to the overall journey time.(b) Using this information, work out the shortest time taken to travel by train fromA to G.Your route does not need to pass through every station.68min236min78min88min136min Time is Up! Time's up