THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 7 by smoothmaths | Jul 29, 2020 | 0 comments Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 7 1. Work out 345 + 678971347124703461346024 2. Work out 3201 - 45627452755284537452855 3. Work out 865 × 760255655562560606550 4. Work out 3832 ÷ 847949.25485470545 5. 11 and 12 are consecutive whole numbers.Write down two consecutive whole numbers which add up to 7537&3836&3925&5045&3034&41 6. Which number divided by 1000 gives 2.08?208020820.8208002008 7. Circle the number which will be in the middle when the numbers below are writtenin order of increasing size. 3.64 3.564 3.654 3.465 3.5463.5643.4653.643.5463.654 8. (a) Work out one fifth of 1803630456025 8.(b) Work out 5/8 of 966055365065 9. Work out the sum of the numbers: 0.04 0.6 0.160.80.260.70.08none of the above 10. Farmer Andrew’s chickens lay a total of 314 eggs.Each egg box holds only 6 eggs.How many egg boxes will Farmer Andrew be able to completely fill with these eggs?5253555056 11. Write a number in each box in order to make the calculations correct.(a) 3 × 6 + ———— = 25743161315 11.(b) 88 ÷ 4 = ———— - 93121413035 11.(c) 7² = 51 - ( ———— × 4 )\[\frac{1}{2}\]\[\frac{1}{3}\]\[\frac{1}{4}\]24 12. Shade 75% of the shape below. 13. The thermometers below show the temperatures, in °C, inside a fridge and a freezer.(a) How many degrees warmer is it in the fridge than in the freezer?18 degrees17 degrees-10 degrees15 degrees-9 degrees 13.The temperature in the freezer should be 3 degrees colder.(b) What temperature should it be in the freezer?-1717-111618 14. Given that 7.84 × 6 = 46.8, work out the value of 7.84 × 18140.4138.4140120.4110 15. The composer Johann Sebastian Bach lived for 65 years and 4 months.The composer Georg Philipp Telemann lived for 86 years and 3 months.For how much longer did Telemann live than Bach?20 years,11 months30 years,11 months20 years,8 months15 years,11 months20 years,10 months 16. A recipe to make 12 blueberry muffins requires 300 grams of flour and 180 grams ofblueberries, in addition to other ingredients.(a) Charlotte wants to make just 9 muffins.How many grams of each of the following ingredients will she need?(i) flour225g210g215g200g125g 16.a.(ii) blueberries135g125g150g215g175g 16.(b) Paul has a one kilogram bag of flour. If he uses the whole kilogram of flour tomake blueberry muffins, how many can he make?4035201525 17. (a) The number machine below changes numbers according to the rule multiply by 3, then add 6Complete the input and output numbers for the machine.126, 16120, 16126, 20130, 16360, 20 17.(b) There are two possible function machines which will give results shown below.Work out both possible answers.x4 then -12 OR -3 then x4x3 then -12 OR -2 then x4x4 then -10 OR -3 then +4x2 then -12 OR +3 then x4x4 then +12 OR -4 then x2 18. The number 8 has four factors: 1, 2, 4 and 8(a) Which is the first number greater than 10 to have exactly four factors?1412111618 18.(b) Write down any number less than 20 which has exactly three factors.9 or 48101612 18.(c) Some numbers have only two factors.What is the special name given to this type of number?It may help you to write down some numbers with only two factors.Prime numbersEven numbersOdd numbersWhole numbersNatural numbers 19. (a) A packet of 9 chocolate cookies costs £2.61What is the cost of 4 of these chocolate cookies?£ 1.16£ 0.93£ 11.6£ 1£ 1.2 19.(b) Carla bought 2 books from a shop, and paid a total of £8.50One book cost 60 pence more than the other.What was the price of the cheaper book?£ 3.95£ 395£ 4.55£ 3£ 2.85 20. The number sequences in this question all go up or down by a fixed number.(a) Write a number in each box to continue the sequence.(i) 5.4, 5.8, 6.2, 6.6, ———¯77.56.87.47.6 20.a.(ii) 1.3, 1.23, ————1.161.141.511.2 20.(b) In a number sequence, the 2nd term is 6 and the 5th term is 18, as shown below.What is the 7th term in the sequence?———— , 6, ———— , ———— , 18, ———— , ————2623242528 21. Mr Cooper’s car uses 3 litres of petrol to travel 50 kilometres.Petrol costs £1.45 per litre.How much will Mr Cooper spend on petrol to drive 600 kilometres from Oxford toGlasgow?£ 52.2£ 52.9£ 49.2£ 49.9£ 52 22. (a) Estimate, in centimetres, the length of the line below.10cm9cm8cm12cm15cm 22.(b) The man in the diagram is 1.8 metres tall.Use this fact to estimate the height of the tree.5.4m3.4m5m2.4m5.6m 23. Reflect the shape below in the dashed line. 24. Shapes A, B, C and D are drawn on the grid below.(a) Which shape has the largest area?ABCDA&D (b) Draw all lines of symmetry on each shape. (c) On the grid below, draw a shape made up of 8 little squares which has rotationalsymmetry order 2 but has no lines of symmetry.Rotational symmetry order 2 means that the shape will fit onto itself exactly2 times when it is turned about its midpoint. 25. (a) This is what Evie sees when sheglances at her clock in the mirror.Write the time her clock actuallyshows, using the 12-hour clock.1:41pm2:41pm3:41pm1:14pm2:14pm 25.(b) A film lasting 2 hours and 20 minutes started at 16:55At what time did it finish?19:1518:2018:5519:2018:15 25.(c) Three friends started a sponsored silence at exactly 15:00 and, one by one, burstout in giggles at the times shown in the table below.(i) For how much longer did Rebecca remain silent than Holly?39 mins49 mins43 mins40 mins35 mins 25.c.(ii) If each girl was sponsored 10 pence for each minute that she remained silent,how much money did the three girls raise in total?£ 30£ 3000£ 300£ 3£ 280 26. Ben asked people about their favourite type of cheese.The results of his survey are shown below.(a) What percentage of the people said Edam?0.250.20.10.150.3 26.(b) What fraction of the people said Brie?\[\frac{1}{12}\]\[\frac{1}{4}\]\[\frac{1}{3}\]\[\frac{12}{13}\]\[\frac{1}{5}\] 26.18 people said Edam.(c) How many people said Goat’s Cheese?65743 26.(d) How many more people said Cheddar than said Cheshire?3020263216 27. This object is made from cubes.There are no hidden cubes.(a) How many cubes are needed to make the object?1816141215 27.(b) The diagrams below show possible front and side views of the object.Write the letter of the diagram which shows theAnswer: front view ———— side view ————front view=B, side view=Cfront view=A, side view=Cfront view=B, side view=Dfront view=D, side view=Cfront view=A, side view=B (c) On the grid below, draw and shade the plan view of the object. 28. Miss Smart has a set of hexagonal spinners.Each section on a spinner contains a number between 1 and 6Write a number in each section of the spinner so that(a) the spinner is certain to land on a numberless than 3 (b) the spinner is twice as likely to land on aneven number as on the number 5 (c) the spinner is equally likely to land on a squarenumber, an even number or an odd number 29. Chocolate Heaven sells 10 different types of hand-made chocolates.The price of each type of dark chocolate is shown in the table below.(a) What is the total cost of the 5 dark chocolates?£ 1.45£ 145£ 1.15£ 1.35£ 1.05 29.(b) What is the mean (average) cost of a dark chocolate?29 p20 p30 p25 p15 p 29.For each type of chocolate, there is a milk chocolate version which costs 2p less thanthe dark chocolate version.(c) Write down the mean cost of a milk chocolate.27 p25 p24 p26 p29 p 29.(d) Jill buys one of each type of dark chocolate and each type of milk chocolate as agift for her friend.Using your answer to part (a) or otherwise, work out the cost of all 10 chocolates.£ 2.80£ 280£ 2.70£ 2.50£ 2 30. Points A, B and C have been plotted on the coordinate grid below.(a) When a straight line is drawn from A to B, the midpoint is point D.Write down the coordinates of point D.(4,7)(2,7)(4,6)(3,7)(4,8) 30.(b) The point E is such that if a line is drawn from B to E, point C is two thirds of theway from B to E.Write down the coordinates of point E.(10,2)(10,1)(2,10)(10,3)(9,2) 31.a. Field crickets chirp according to the temperature of their surroundings.You can use the following rule to work out the temperature:(a) Freddie, the field cricket, chirps 61 times per minute.Work out the temperature of Freddie’s surroundings.1310161812 31.(b) Flora, the field cricket, chirps 41 times in 30 seconds.Work out the temperature of Flora’s surroundings.162.471310.1412 31.(c) The temperature of Flossie’s surroundings is 18°C.Work out how many times Flossie chirps in 1 minute.9615610041.14none of the above 32. Between 3 a.m. and 6 a.m. the hour handon a clock moves through an angle of 90°.Work out the angle which the hour hand on a clock movesthrough between(a) 9 a.m. and 10 a.m.3015456090 32.(b) 12:45 and 13:151530121810 32.(c) 6.30 p.m. and 8.50 p.m.7060508090 33. Jane bought a packet of sweets.A quarter of them were green, a third of them were red and the rest were yellow.There were 10 yellow sweets.What was the total number of sweets in the packet?247019.42030 34. In the balancing puzzle below, each symbol represents a different number.In all of the diagrams, the symbols on either side of the scale are balanced.54638 35. In a doctor’s waiting room, there are6 seats in a row.Mr Spencer arrives with his 2 children.He wants to sit between his 2 children. 3 other people arrive who do not mindwhere they sit.How many different possible seating arrangements are there of the 6 people?You may find the boxes helpful.4824263640 36. (a) The shape below is made from squares.The perimeter of the shape is 100 centimetres.Work out the area of the shape.250\[cm^{2}\]200\[cm^{2}\]150\[cm^{2}\]300\[cm^{2}\]250cm 36.(b) Work out the area of the shape drawn on the centimetre-squared grid below.8\[cm^{2}\]12\[cm^{2}\]16\[cm^{2}\]14\[cm^{2}\]18\[cm^{2}\] 37. Circle the net which could make the cube shown. 38. Write a letter fromA to H inclusive in each box in the diagram below.Each letter should be used exactly once.Consecutive letters are not allowed to touch either at an edge or a corner.For example, B cannot touch C or A at either an edge or a corner. 39. The time in Sri Lanka is 4 hours ahead of London.For example, when it is 3 p.m. in London, it is 7.30 p.m. in Sri Lanka.(a) What time is it in London when it is 1.15 p.m. in Sri Lanka?8:45am9:15am8:30am7:45am7:15am 39.The time in New York is 5 hours behind the time in London.Bill’s journey from New York to Sri Lanka takes exactly 30 hours.Bill leaves New York on Wednesday at 19:40(b) On which day and at what time does Bill arrive in Sri Lanka?on Friday at 11:10on Saturday at 11:10on Friday at 10:40on Friday at 9:30on Thursday at 11:10 40. Each letter in the words below represents a number less than 10The values of the letters in each word are then multiplied together to give the resultshown.Given that BAT = 90, LET = 168 and BET = 105, what is the value of TABLE?50405000505445684050 41. On a game show, there are 3 doors.Behind one door, there is £1000 and behind another, there is a spider!Behind the other door there is nothing.Each door has a notice. However, only one notice is true.Behind which door is £1000?Door 3Door 2Door 1both a&bnone of the above Time is Up!