THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 1 (2008-2016) Paper 6 by smoothmaths | Jul 7, 2020 | 0 comments Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 1 (2008-2016) Paper 6 1. Work out 4567 + 7654 Answer: 12221 12211 12121 11221 11111 2. Work out 7654 - 4567 Answer: 3087 3097 3187 3197 3089 3. Work out 653 x 7 Answer: 4571 4551 4271 4251 4558 4. Work out 5922 ÷ 6 Answer 987 903 879 789 669 5. Half of a certain number is 17 What is the number? Answer: 34 24 44 54 64 6. (a) Which number is 1000 times larger than 0.8? Answer: 800 8000 80 0.08 0.008 (b) Which number is 100 times smaller than 349? Answer: 3.49 34.9 0.349 0.0349 0.003 7. Work out the sum of the numbers below: 0.4 0.07 0.03 Answer: 0.5 0.4 0.05 5 0.005 8. Write a number in the box to complete the number pattern below: 45 53 ———— 69 61 59 60 56 65 9. Work out two thirds of 54 Answer: 36 26 16 46 17 10. Write these decimals in order of size, starting with the smallest: 5.22 5.02 5.202 5.2Answer: 5.02,5.2,5.202,5.22 5.02,5.2,5.22,5.202 5.2,5.02,5.202,5.22 5.202,5.02,5.22,5.2 5.02,5.202,5.2,5.22 11. Claire bought an ice cream costing £1.55 and a can of drink costing 67 pence. She paid with a £5 note. (a) How much change should Claire receive? Answer: £ £ 2.78 £ 2.88 £ 3.18 £ 3.88 (b) Claire was given the exact change, using the smallest possible number of coins. How many coins was Claire given? Answer: 6 coins 4 coins 5 coins 8 coins 9 coins 12. Two numbers add to give 15 and multiply to give 56 What is the difference between the two numbers? Answer: 1 2 3 4 5 13. Fill in the gaps in the calculations below. (a) 15 + ——–— = 13 x 2 11 12 13 14 15 (b) 2 + (4 x 5) = 27 - ——–— 5 4 6 3 8 (c) ——–— x 12 = 18 ÷ 3 \[\frac{1}{2}\] \[\frac{1}{3}\] \[\frac{1}{4}\] 1 \[\frac{1}{5}\] 14. The notice below shows part of a train timetable between 2 towns, Taymar and Raymar. One of the times has been covered. (a) How long does it take train 1 to travel from Taymar to Raymar? Give your answer in hours and minutes.Answer:——–— hours ——–— min 2 hrs 19 mins 2 hrs 10 mins 3 hrs 19 mins 2 hrs 30 mins 1 hr 10 mins Train 2 takes the same time as train 1 to travel from Taymar to Raymar. (b) At what time does train 2 arrive at Raymar? Answer: 17:10 17:00 18:10 17:21 16:00 15. On 1st January the temperature in London was -2°C. (a) On the same day, the temperature in Rome was 12°C. How many degrees hotter was it in Rome than in London? Answer: ——–— degrees 14 degrees 10 degrees 12 degrees 8 degrees 13 degrees (b) On the same day, the temperature in Oslo was 5 degrees colder than in London. What was the temperature in Oslo? Answer:——–— °C -7 7 6 -6 8 16. Katharine was born on 1st May 1997 Helen was born on 1st March 2003 (a) By how many years and months is Katharine older than Helen?Answer: ——–— years ——–— months 5 years 10 months 5 years 8 months 4 years 10 months 5 years 4 months 3 years 10 months (b) Sam is exactly 18 months younger than Katharine. Work out Sam’s date of birth. Answer: 1st nov 1998 1st march 1998 1st may 1998 1st nov 1999 1st dec 1998 17. The number machine below changes numbers according to the rule (a) Work out the output number if the input is 20 Answer: 11 8 10 9 13 (b) Work out the output number if the input is 6 Answer: \[\frac{15}{2}\] \[\frac{7}{5}\] \[\frac{9}{2}\] \[\frac{1}{3}\] \[\frac{1}{2}\] (c) In the list below, circle the type of input numbers which will always give whole number output numbers. odd even multiples of 4 prime numbers multiples of 4 odd even prime numbers none of the above (d) Work out the input number if the output is 18 Answer: 48 96 8 24 36 (e) A number is put through the number machine twice. After the second time, the output number is 9 Work out the original input number. Answer: 24 72 54 36 40 18. A recipe for 18 oatcakes needs the following ingredients: (a) James wants to make 9 oatcakes. What mass of oatmeal does James need to use? Answer:——–— g 70g 280g 50g 90g 150g (b) Sarah has only 400 millilitres of olive oil. She has plenty of all the other ingredients. What is the largest number of oatcakes which Sarah can make? Answer: 90 50 100 8 6 (c) Fill in the ingredients required to make 27 oatcakes.——–— grams oatmeal ——–— grams porridge oats ——–— twists of black pepper ——–— millilitres olive oil 210g oatmeal,210g porridge oats,15 twists black pepper,120 ml olive oil 210g oatmeal,210g porridge oats,15 twists black pepper,160 ml olive oil 210g oatmeal,210g porridge oats,20 twists black pepper,120 ml olive oil 110g oatmeal,110g porridge oats,15 twists black pepper,120 ml olive oil 210g oatmeal,210g porridge oats,15 twists black pepper,180 ml olive oil 19. The instructions below are used to work out the cooking time for a turkey. 50 minutes per kilogram plus 20 minutes Claire wants to cook a turkey with a mass of 2.5 kilograms. For how long should Claire cook the turkey? Give your answer in hours and minutes. Answer:——–— hours 2 hrs 25 mins 2 hrs 45 mins 6 hrs 15 mins 3 hrs 45 mins 2 hrs 15 mins 20. At SuperMart, a packet of jam tarts costs £1.20 This week, there is a special offer: If you buy one packet, you can buy a second packet at half price. Erika needs to buy 13 packets of jam tarts. Using the special offer, how much will it cost Erika to buy 13 packets? Answer: £——–— £ 12 £ 8 £ 11 £ 15 £ 10 21. This clock has been reflected in a mirror. What time is it? Answer: ——–— % a.m. 07:15am 06:45am 05:45am 04:45am 02:15am 22. Mrs Spencer asked each of the children in class 6A to state their favourite Olympic sport. The pie chart below shows the results. (a) What fraction of the children in class 6A chose swimming? Answer: \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{1}{2}\] \[\frac{4}{1}\] \[\frac{1}{5}\] (b) What percentage of the children in class 6A chose athletics? Answer: 50% 100% 80% 25% 70% 6 pupils chose swimming. (c) How many children are there altogether in class 6A? Answer: 24 36 30 45 \[\frac{3}{2}\] (d) How many more children chose athletics than gymnastics? Answer: 9 15 12 8 16 23. The diagram below shows a regular eight-sided polygon. (a) What is the special name given to a polygon with eight sides? Answer: Octagon Pentagon Hexagon Rhombic Square (b) Circle the word below which describes the type of angle inside the polygon at A. acute reflex right-angle obtuse obtuse acute reflex right angle none of the above (c) CD measures 34 mm. (i) Write this measurement in centimetres. Answer: 3.4cm 0.34cm 0.034cm 34cm 0.0034cm Adam the ant runs once around the perimeter of the polygon. (ii) How far does Adam run? Answer:——–— cm 27.2cm 24.2cm 2.72cm 272cm 0.27cm 24. (a) Work out the area of the shape below, drawn on centimetre-squared paper. Answer:——–— \[cm^{2}\] 8 \[cm^{2}\] 12 \[cm^{2}\] 10 \[cm^{2}\] 16 \[cm^{2}\] 14 \[cm^{2}\] 25. In each list below, circle the most sensible unit to measure: (a) the mass of a battleship tonnes kilograms metres grams litres tonnes kilograms metres grams litres (b) the amount of water in a bath metres millilitres litres millimetres kilograms litres millilitres millimetres kilograms metres 26. Anna has a bag containing 8 counters. 4 are red, 2 are blue and the rest are green. She picks a counter at random from the bag. Write down the letter on the probability scale which indicates the probability that the counter she picks is (a) green Answer: B C D E A (b) white Answer: A B D C E (c) either red or blue Answer: D A B C E 27. Points P and Q have been plotted on the coordinate grid below. (a) Write down the coordinates of the point P . Answer: (1,5) (2,5) (1,6) (3,5) (4,6) Point R can be plotted on the grid so that when P, Q and R are joined, they form an isosceles triangle. (b) Using only whole numbers, write down 3 possible coordinates of point R.Answer: (1,3),(4,6),(3,1) (7,5),(2,2),(0,2) (1,3),(6,4),(3,1) (2,3),(4,6),(3,1) both a&b 28. A cube has a circle on its top face and a square on its bottom face. and a square on its bottom face. On each of the other faces there is an arrow, pointing towards the top face. Circle the net below which will make the cube described above. 12 7 9 8 15 29. Tilly and Tally have a large tub of 1-centimetre cubes. Tilly uses some of the cubes to make the cuboid shown below. (a) How many 1-centimetre cubes has she used? Answer: 12 7 8 15 6 Tallydecidestomakeacuboidwhichisexactlytwiceashigh,twiceaswideandtwice as long as Tilly’s cuboid. (b) How many more cubes does Tally use than Tilly? Answer: 84 89 88 90 81 30. A shopping bag, of mass 0.4 kg, and its contents have a total mass of 2.5 kg. Inside the shopping bag are the following items: Use this information to work out the mass of the bag of potatoes. Give your answer in grams. Answer 850g 950g 498g 600g 1000g 31. Here is the start of a pattern made with black hexagons and white hexagons: (a) Complete the table showing the numbers of black hexagons and white hexagons in each pattern. pattern number 1 2 3 4 number of black hexagons 2 number of white hexagons 8 (b) How many black hexagons are there in pattern number 13? Answer: 14 12 16 8 18 (c) How many white hexagons are there in pattern 10? Answer: 26 34 20 16 36 (d) One pattern has 50 white hexagons. How many black hexagons are there in this pattern? Answer: 23 29 21 19 16 32. The symbols ©,♣,♥,☼and ∂ each stand for one of the numbers 1, 4, 5, 9 and 16 Given that the following statements are true, work out the value of each symbol. ∂ x ♥ = ∂ © x © = ♣ ∂ + © = ☼Answer:♥= ☼ = ∂ = © = ♣ =——— 1,9,5,4,16 1,9,4,5,16 1,9,5,16,4 16,4,5,9,1 9,1,5,4,16 33. A fair die has six faces marked 0p, 0p, 0p, 0p, 0p and 50p. In a game at a village fete, players pay 10p to roll the die and they win the amount shown on the top face of the die. During the fete, the game is played 60 times. (a) How many times would you expect a player to win 50p? Answer: 10 12 8 15 16 (b) How much money do the players pay altogether to roll the die? Answer: £——–— £6 £600 £5 £500 £1000 (c) Does the game expect to make a profit or a loss and by how much?Answer: the game expects to make a %BLANK% Profit of 1 Loss of 1 Profit of 4 Profit of 5 Profit of 2 34. 6 cubes have been joined together to make the shape below. The area of each face of the cubes is 1\[cm^{2}\] . If the shape is dipped into a large pot of paint, what is the total area which will be covered in paint? Answer: 26\[cm^{2}\] 22\[cm^{2}\] 16\[cm^{2}\] 20\[cm^{2}\] 48\[cm^{2}\] 35. 10 teachers can mark 180 exam papers in 3 hours. It takes each teacher the same amount of time to mark each exam paper. (a) How many teachers would it take to mark 90 exam papers in 3 hours? Answer: 5 teachers 4 teachers 6 teachers 7 teachers 3teachers (b) How long would it take 5 teachers to mark 180 exam papers? Answer: 6 hrs 4 hrs 8 hrs 9 hrs 2 hrs (c) How many exam papers could 20 teachers mark in 1 hour? Answer: 120 papers 100 papers 80 papers 150 papers 60 papers 36.FivechildrentookexamsinEnglishandMaths. Their names are Dolly ,Holly, Lolly, Molly and Polly. The bar chart bellow shows their results. Use the information below to work out which child is represented by each letter. •Dolly came top in the Maths exam. •In the English exam, it was Molly who scored the highest. •Polly got the lowest total score. •Holly scored 30 more marks in English than she did in Maths.Answer: A represents ——–— Brepresents ——–— C represents ——–— D represents ——–— E represents ——–— A=Molly,B=Polly,C=Lolly,D=Holly,E=Dolly A=Dolly,B=Polly,C=Lolly,D=Holly,E=Holly A=Molly,B=Lolly,C=Polly,D=Holly,E=Dolly A=Molly,B=Polly,C=Holly,D=Lolly,E=Dolly A=Polly,B=Molly,C=Lolly,D=Holly,E=Holly 37. Jim runs a fruit stall at a local market. He sells oranges in packets of 3 and apples in packets of 4 (a) George buys 5 packets of oranges and some packets of apples. In total he has 31 pieces of fruit. How many packets of apples did George buy? Answer: 4 11.5 6 8 7 (b) Chris buys 2 more packets of apples than packets of oranges. In total he has 29 pieces of fruit. How many packets of each type of fruit did Chris buy?Answer:——–— packets of oranges and ——–— packets of apples 3 oranges,5 apples 5 oranges,7 apples 4 oranges,76apples 2 oranges,4 apples 6 oranges,8 apples (c) Jamie buys 11 packets of fruit. In total, he has 40 pieces of fruit. How many more apples than oranges does he have? Answer:%BLANK% 16 26 10 6 13 38. At a quiz show, Rachel has to choose between the following 3 coloured boxes to win a car. Just one of the sentences written on the boxes is true. In which box is the car? Answer: Red box Blue box Yellow box both a&b none of the above Time's up
