THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 6 by smoothmaths | Jul 28, 2020 | 0 comments Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 6 1. Work out 3456 + 78942454255414241354145 2. Work out 3456 - 7892667267727672777None of the Above 3. Work out 418 × 729262986282628862976 4. Work out 2394 ÷ 9266166366466265 5. (a) Write in figures the number twenty thousand and thirteen.2001320132000132000013None of the Above (b) Which number is multiplied by 100 to give 2907?29.072.907290.70.2907None of the Above 6. Which number between 40 and 50 is a multiple of both 4 and 6 ?4836566024 7. Circle the number which will be in the middle when the numbers below are written in size order. 1.905 1.05 0.905 1.005 1.0951.051.9050.9051.0051.095 8. Work out 3/5 of 4527251737None of the Above 9. Circle the three numbers in the list below which have a sum of 43 5 8 11 14 21 31 8, 14, 215, 8, 1411, 31, 58, 14, 11None of the Above 10. A packet of 7 Doggy costs £3.43.(a) What is the cost of one Doggy Chew?Give your answer in pence.49p43p59p39p29p Charlotte buys 2 packets of Doggy Chews and pays with a £20 note.(b) How much change should she receive?£13.14£11.14£14.13£13.40£12.14 11. The thermometers below show the temperatures inside and outside a window at midday, one day in winter.(a) How many degrees warmer is it inside than outside the window?2014103024 At midnight, the temperature outside had fallen by 2 degrees.(b) What was the temperature outside the window at midnight ?-5-1-6-70 12. Fill in the gaps in the calculations below.(a) 4 × --------- + 8 = 44968710 (b) 3 × (5- _______ ) = 12123-1None of the Above (c) 40 ÷ ______ = 4² ÷ 258410None of the Above 13. (a) shade 75% of this regular octagon. (b) shade 5/8 of this regular octagon. (c) Which is larger, 75% or 5/8?Give a reason for your answer.The shaded area is more than 75%The shaded area is more than 95%The shaded area is more than 50%The shaded area is more than 85%None of the Above 14. (a) The number machine below adds 3 to the input number and then multiplies by 2 Complete the input and output table for this machine.6, &, 43, &, 55, &, 74, &, 62, &, 4 (b) A different number machine produces the input and output table below.What is the rule for this number machine ?x2 then +3x2 then +1x2 then +2x0 then +5x1 then +2 15. Mabel found her grandmother's recipe to make scones. Here are the ingredients needed to make 12 scones:(a) If Mabel wants to make 18 scones,(i) how many grams of self-raising flour will she need ?300g400g200g150g100g (ii) how many grams of caster sugar will she need?45g65g55g35g25g Mabel only has 1.5 kilograms of flour, but has plenty of all of the other ingredients.(b) What is the largest number of scones which she can make ?90g70g60g80g50g 16. Jennie and Freddie have each thought of a number.The different between their number 8.The sum of their numbers is 30 What are the two numbers?a=19, b=11a=18, b=10a=20, b=12a=16, b=15a=11, b=19 17. George is 2 years and 9 months older than his sister Sophie.George is 12 years and 5 months old.How old is Sophie ?9years 8months7years 9months10years 4months8years 9months9 years 4months 18. Kathy has used her calculator to find out that 13 × 641 = 8333Use Kathy's calculation to work out(a) 130 × 6418333083333833302833301833300 (b) 13 × 64083208330831083328331 (c) 23 × 64114743144731433314740None of the Above 19. Here are 5 numbers cards: The 5 cards can be placed in order to form a 5-digit number.For example, the smallest number which could be made using all 5 cards is (a) Using all 5 cards,(i) What is the largest possible odd number?8642786247846278426782467 (ii) what is the number that is closest to 50 000 ?48762487264862748672None of the Above (b) Using only 2 of the cards, what is the largest possible prime number ?67874727Both a & b (c) Arrange any 3 of the number cards to give the largest possible answer to this multiplication.Answer: _______ _______ × _______x+-÷None of the Above 20. (a) Draw all of the lines of symmetry on the shape below. (b) Reflect the shape below in the dashed line. (c) Add one square to the picture drawn on the dotted grid below, so that the finished shape has exactly one line of symmetry. 21. The diagram below shows 2 pieces of uncooked spaghetti.If the length of piece A is 5 units, estimate the length of piece B.7.5units8.5units6.5units7.2units8.2units 22. Billy has designed the tile shown below.(a) Complete the grid below to show the tile if it is rotated through a quarter turn clockwise. (b) Billy decides to reflect the tile in the dashed line shown below, and then rotate it through half a turn.Draw the resulting tile on the grid below. You may complete the middle tile if you wish. 23. (a) Shape S is drawn on the centimetre squared grid below.(i) What is the perimeter of shape S ?28cm20cm18cm24cm25cm (ii) What is the area of shape S ?19\[cm^{2}\]13\[cm^{2}\]18\[cm^{2}\]15\[cm^{2}\]11\[cm^{2}\] (b) On the centimetre squared grid below, draw a triangle with area 21 cm². 24. Point A has been plotted on the coordinate grid below.(a) Write down the coordinates of point A.(3,4)(3,3)(4,3)(3,5)(3,-4) Point B has coordinates (2, 1).Point C has coordinates (5, 2).(b) Plot and label points B and C. Point D can be plotted so that when point A,B,C and D are joined in order, they form a rhombus.(c) Write down the coordinates of the point D.(6,5)(6,4)(5,6)(6,6)None of the Above 25. Janice has a cube with 2 grey faces and 4 white faces.The 2 grey faces are opposite each other.(a) Complete the diagram to show a possible net for the cube. (b) If the cube is rolled 60 times, how many times would you expect to see a grey face on the top?20times30times10times40timesNone of the Above Janice rolls the cube once.(c) Draw an arrow on the scale below to show the probability that it will stop with a white face on the top. \[\frac{4}{6}\]\[\frac{1}{2}\]\[\frac{5}{6}\]1\[\frac{1}{3}\] 26. On sports Day, five girls took part in the 400 metre race.Their times were recorded in the table below.(a) Who came second in the race ?AngieBellaClemmieDavinaErin (b) Who finished 6 seconds ahead of Erin ?ClemmieBellaAngieDavinaErin (c) How many seconds behind the winner was the person who came last ?12sec7sec9sec10sec6sec 27. A large barrel contains 3.25 litres of water. Mel fills three 500 ml bottles from the barrel.She uses all of the rest of the water to fill as many 150 ml cups as she can.What is the largest number of cups which Mel can completely fill ?11cups12cups10cups13cupsNone of the Above 28. Sarah has almost completed a bar chart to show the number of pets owned by each of the 26 girls in class 6A.(a) How many girls have 3 pets ?681157 (b) Complete the bar chart by drawing the bar to show the number of girls who have 5 pets ?24356 (c) How many pets are owned altogether by the 26 girls ?6131514055 29. The diagram below shows 4 right-angled triangular pieces of card.These pieces of card can be put together to form geometrical shapes. The pieces of card could be turned upside down or rotated if necessary.On the grid below, the 4 pieces have been put together to from a pentagon.On each grid below, draw a diagram to show how all 4 pieces of card could be put together to form:(a) a rectangle (b) a trapezium with one line of symmetry (c) a parallelogram (d) a kite 30. On the Gagalapos Islands, there lives an amazing animal called the Joak.When it is born, the Joak has one head with a bristle, and one body segment with two pairs of bristles, as shown:At the start of each year a Joak grows one more identical body segment so that at the start of the second year it looks like this:(a) In the space below, draw a sketch of a Joak at the start of its third year. (b) Complete the table below. (c) How many bristles will a Joak have during its 10th year ?41315140None of the Above (d) In which year will a Joak have 65 bristles ?16141512None of the Above 31. In the grid below, each symbol represents a number. The total of each row and column is shown.Work out which number each symbol represents.Answer:7,5,8,6,256,6,6,8,188,7,7,4,155,8,4,7,359,4,5,5,30 32. Thomasina, Dixie and Harriet are playing a game of marbles.They start with 20 marbles each and they play three rounds.In the first round, Dixie wins 4 marbles from Thomasina and loses 5 to Harriet.In the second round, Harriet wins 6 marbles from Dixie and loses 2 to Harriet.In the second round, Thomasina wins 3 marbles from Harriet and loses 6 to Harriet.How many marbles does each girl have at the end of the three rounds ?Thomasina 15, Dixie 19, Harriet 26Thomasina 11, Dixie 14, Harriet 21Thomasina 14, Dixie 18, Harriet 25Thomasina 19, Dixie 16, Harriet 24Thomasina 15, Dixie 18, Harriet 26 33. Carla has some coloured plastic tiles.Her tiles are in the shape of a square, circle, star or triangle, and are either black, grey or white.(a) Complete the table to show all of the different possible types of tile. Carla has each type of tile in a small size and a large size.She has 24 tiles altogether.(b) What fraction of the tiles are black ?\[\frac{1}{3}\]\[\frac{1}{6}\]\[\frac{2}{3}\]\[\frac{1}{2}\]\[\frac{1}{4}\] (c) How many of the tiles are in the shape of a star?61293None of the Above Below are three of her tiles.The small grey square differs from the large black circle in 3 ways : size, colour and shape.(d) Describe a tile which differs from the small white triangle in 1 way.Small Grey TriangleSmall White StarGrey Square tilesSmall White Square tilesAll of the Above (e) How many tiles differ from a large grey star in 3 ways ?63942 34. The model shown below is made from 3 identical cuboids.From which direction, A, B, C or D, are the following views taken ?(a) BACDAll of the Above (b) ABCDAll of the Above 35. In the diagrams below, the square and rectangle have the same perimeter.The square has an area of 64 cm².The length of the rectangle is three times the width of the rectangle.Work out the length of the rectangle.12cm9cm16cm18cm15cm 36. In the following diagrams, the number underneath is calculated using a rule.The rule is " multiply the numbers in the white regions and then add the numbers in the grey regions"The total is written underneath the diagram.Fill in the dotted lines to complete the following diagrams.54,1,7 & 339,2,21 & 344,3,6 & 364,4,7 & 2None of the Above 37. The diagram below shows the footpaths between different villages.Each village is represented by a letter.For example, there are 3 different possible footpaths between villages Q and R.Jane wants to walk from village A to village B without travelling through any village twice on her route.Work out how many different possible routs Jane could take.1912181320 38. Magda and her friends go to the cinema.They buy 1 large tub of popcorn, 4 fizzy drinks and 10 packets of crisps.The bill comes to £10.89.Lena and her friends go to the cinema.They buy 1 large tub of popcorn, 3 fizzy drinks and 7 packets of crisps.The bill comes to £8.64.How much would it cost to buy 1 large tub of popcorn, 1 fizzy drink and 1 packet of crisps ?£4.14£2.25£3.14£5.25£7.41 Time is Up!