North London Collegiate 11 Plus Group 2 Maths 2015 Online Quiz view all papers Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 81. Work out 2345 + 678 3023 3013 3923 2023 2913 None 2. Work out 2345 - 678 1667 1767 1676 2667 2777 None 3. Work out 3024 × 8 24192 24162 24092 24062 24892 None 4. Work out 3024 ÷ 9 336 326 346 236 436 None 5. A third of a certain number is 27What is the number? 81 61 71 91 51 None 6. (a) Which number is 100 times larger than 0.405? 40.500 40.50 40.5 400.50 4500 None (b) Which number is 1000 times smaller than 700? 0.7 7 0.07 70 0.007 None 7. Work out the sum of the numbers below: 0.7 0.04 1.006 1.746 1.53 0.71 1.16 1.756 None 8. Write a number in the box to complete the number sequence below: 94 ——— 80 73 66 87 97 77 81 89 None 9. Circle the number in the list below that is closest to ½ 1/5 3/7 5/9 7/11 \[\frac{5}{9}\] \[\frac{1}{5}\] \[\frac{3}{7}\] \[\frac{7}{11}\] \[\frac{11}{5}\] None 10. Write these numbers in order of size, starting with the smallest: 3.4 3.34 3.304 3.043 3.043,3.304,3.34,3.4 3.304,3.043,3.34,3.4 3.043,3.304,3.4,3.34 3.304,3.043,3.4,3.34 3.4,3.34,3.304,3.043 None 11.What fraction of the large square below is shaded? \[\frac{4}{9}\] \[\frac{3}{2}\] \[\frac{1}{9}\] \[\frac{3}{4}\] \[\frac{9}{4}\] None 12. Write the missing numbers in the boxes to make the calculations correct.(a) 17 + ———— = 23 × 2 29 23 26 30 25 None (b) 9 + (5 × 7) = 47 - ———— 3 4 5 6 8 None (c) ———— × 16 = 36 ÷ 9 \[\frac{1}{4}\] 4 \[\frac{1}{2}\] \[\frac{1}{3}\] \[\frac{1}{5}\] None 13. Wombley Arena can seat 7490 supporters when full.(a) Write this number to the nearest thousand. 7000 7400 7600 6000 8000 None Bale Arena can seat 630 more supporters than Wombley Arena.(b) How many supporters can both arenas seat altogether? 15610 15410 14610 14410 14400 None 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&4 12&4 14&2 13&4 16&4 None 15. Amy has the two-stage number machine shown below. None 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=+1 Input=x3,Output=-1 Input=+3,Output=X1 Input=+3,Output=-1 Input=-3,Output=+1 None 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. 17:13 16:15 18:13 15:10 17:30 None 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 None 18. Sandy needs 12 pizzas to feed 30 people.How many pizzas will she need to feed 35 people? 14 pizza 10 pizza 20 pizza 18 pizza 16 pizza None 19. Belinda ate 3/5 of a bar of chocolate.60 grams of chocolate remained.What was the original mass of the chocolate bar? 150g 300g 250g 350g 400g None 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 ? 36 37 34 46 26 None 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 None 22. Given that 900 ÷ 12 = 75, work out(a) 90 ÷ 12 7.5 75 0.75 0.075 750 None (b) 900 ÷ 24 37.5 37 36 35.25 38 None (c) 12 × 74 888 898 988 998 778 None (d) 75 × 36 2700 1700 3700 4700 5700 None 23. 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? 70g 50g 60g 80g 40g None (b) A parcel has a mass of 120 g.What is its mass in ounces? 4.25oz 4.15oz 4.350z 4oz 4.75oz None 24. 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 2002 28th December 2002 27th December 2003 28th December 2003 none of the above None Jessica’s 12th birthday was on a Monday.(b) On what day of the week was Amelia’s 12th birthday? Saturday Sunday Monday Friday Thursday None 25. Below is part of a train timetable: None Which of these trains takes the longest to travel from Spongeton to Pantsbridge? Train 3 Train 2 Train 1 both a&b none of the above None 26. 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&11 9&12 11&12 10&12 9&11 None (b) How many times did Di roll a square number? 37 times 39 times 41 times 31 times 28 times None 27. This clock has been reflected in a mirror.What is the actual time on the clock? 10:40pm 10:20pm 9:40pm 2:20pm 1:25pm None 28. 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. 8cm 16cm 28cm 10cm 20cm None 29. (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 size 3.5 7 6 5 8 None (ii) the mean shoe size 4 3 5 6 8 None (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 repeated Jane because 4 is most repeated Annabel because 4 is not most repeated Jane because 12 is most repeated none of the above None 30. 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\[cm^{2}\] None 31. 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 None (b) Belinda spends £9 altogether on pineapples and mangoes.How many mangoes does she buy? 6 mangoes 5 mangoes 4 mangoes 7 mangoes 3 mangoes None 32. The diagram below is made from a number of equilateral triangles.How many equilateral triangles (of any size) can be found in the diagram? 48 25 26 38 42 None 33. 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=23 a=2,b=5,c=10,d=12,e=6,f=23 a=5,b=2,c=12,d=10,e=6,f=23 a=5,b=2,c=10,d=12,e=23,f=6 a=23,b=2,c=10,d=12,e=2,f=5 None 34. 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? 12 18 16 10 24 None 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? 8 9 7 6 5 None (c) How many small cubes are there altogether in Billy’s larger cube? 125 48 100 90 150 None 35. 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? 110 121 99 132 88 None (b) What is the smallest number larger than 1000 that is palindromic? 1001 1002 1010 1003 1004 None (c) Which two palindromic numbers less than 1000 have a difference of only 2? 99&101 98&100 999&1001 888&900 777&779 None 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? 212 302 104 401 121 None (e) List all of the palindromic numbers between 1000 and a million which have adigit sum of 5 11111 10301 20102 all of the above none of the above None 36. 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-F D-E-B-C-F E-D-C-B-F C-D-B-E-F F-C-B-D-E None 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. 68min 236min 78min 88min 136min None Time's up
