City of London School for Girls Sample Paper by smoothmaths | Jun 20, 2020 | 0 comments Welcome to your CITY OF LONDON SCHOOL FOR GIRLS 11+ Paper 2 1) 3078 + 256 3334 3324 3234 3224 None of the above None 2) 3078 – 256 2822 3822 3222 1822 2022 None 3) 158 x 23 3634 3534 3334 3234 3034 None 4) 3072 ÷ 12 256 255 252 253 249 None 5) What is the reading on the measuring cylinder 1300ml 1000ml 1200ml 1400ml 1250ml None 6) What number is twelve less than eight thousand two hundred and seven? 8195 8295 8095 8215 None of the above None 7) Work out the value of: a. 3×7+4 25 21 24 23 27 None b. 12÷6÷2 1 2 3 4 5 None c. 15−4×2 7 10 22 8 15 None 8) Shade in \[\frac{2}{5}\] of this shape \[\frac{3}{5}\] \[\frac{5}{3}\] \[\frac{6}{10}\] \[\frac{10}{6}\] both a & c None 9) Write down the mathematical name for each of these 2D shapes: Parallelogram, pentagon, trapezium pentagon, parallelogram, trapezium trapezim, parallelogram, pentagon Rectangle, Pentagon, Triangle Rectangle, Pentagon, Square None 10) Here is a table showing how many minutes four children took to get to school last week a. Who took over 40 minutes to get to school? Sara Ellie Ava Maxine None of the above None b. Which person has the shortest journey to school on any day? Ava Maxine Ellie Sara None of the above None c. On Thursday, what is the range of the times? 14 minutes 12 minutes 15 minutes 10 minutes 20 minutes None 11) Round 12.05 to: a. The nearest whole number 12 11 13 10 None of the above None b. To 1 decimal place 12.1 12.2 12.5 12 None of the above None 12) Fill in the next two values in this sequence: 1\[\frac{3}{4}\] , 2\[\frac{1}{2}\] , 3\[\frac{1}{4}\] , _______, _______ … 4 & 4\[\frac{3}{4}\] 2 & 1\[\frac{1}{3}\] 3 & 4\[\frac{1}{4}\] 4 & 4\[\frac{4}{3}\] None of the above None 13) How many edges does a cube have? 12 14 16 10 13 None 14) Which of the following is the best estimate for the length of a bus? 0.2km 2m 20cm 20 000mm 20000mm 200000mm 2000mm 1500mm 1000mm None 15) The temperature in Inverness is 12 degrees lower than the temperature in London. The temperature in London is 5 degrees. What is the temperature in Inverness? -7 7 5 17 -17 None 16) Find the areas of the following shapes: 13.5 12.5 9 4.5 5.5 None 56 32 24 66 None of the above None 17) Max has more than 4 apples but fewer than 7 apples. Alex has more than 5 apples and fewer than eight apples. How many apples do Max and Alex have altogether? Circle all the possible values 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 1 all of the above None 18) Suki saves £12 in January, £18 in February and £5 in March. What is her mean (average) monthly saving? 11.67 11 13 14 None of the above None 19) What is \[\frac{1}{2}\] of \[\frac{4}{5}\] of 35? 14 12 18 20 10 None 20) Put the following numbers in order from smallest to largest: \[\frac{3}{5}\] 0.58 \[\frac{5}{8}\] 62% 0.508 0.508, 0.58, \[\frac{3}{5}\], 62%, \[\frac{5}{8}\] \[\frac{5}{8}\], 62%, \[\frac{3}{5}\], 0.58, 0.508 0.508, 0.58, \[\frac{5}{8}\], 62%, \[\frac{3}{5}\] 62%, \[\frac{3}{5}\], 0.58, 0.508, \[\frac{5}{8}\] None of the above None 21) You are told that 82×107 = 8774 Use this to work out the value of the following: a. 8200×107 87740 87630 8774 87730 86740 None b. 8774÷107 824 874 478 428 748 None c. 8774÷41 214 200 114 142 None of the above None d. A bus can seat 82 people. 8770 people travel to a football match by bus. How many buses are needed? 107 104 100 105 98 None SECTION B 40 minutes Remember to show your working out! 1) Work out the number from the following clues: a. It is a whole number b. It is less than 100 c. It is a square number d. It is one less than a multiple of 5. e. 16 is a factor of this number. 64 65 81 49 36 None 2) B + A + T = 17 C + A + T = 25 C + O + A + T = 29 What is the value of B + O + A + T? 21 25 22 24 20 None 3) A rectangle is 6cm longer than it is wide. Its perimeter is 32cm. Find its area. 55 66 60 44 77 None 4) On Planet Pythagoras, the people use a different money system to us. One pog is worth four pings Three pings are worth five paz Convert the following: A. 3 pog = ______pings B. 40 paz = _______ pog C. 3 paz = ______ pog 4 pings, 6 pog, 0.45 pog 4 pings, 8 pog, 0.55 pog 2 pings, 4 pog, 0.50 pog 3 pings, 6 pog, 0.60 pog 5 pings, 5 pog, 0.40 pog None 5) What is the largest number of 15cm by 30cm by 20 cm shoe boxes that can fit in a 1m x 3m x 2m crate? Be careful – you can’t chop up the shoe boxes! 660 600 500 550 None of the above None 6) Miss Lovelace writes the following pattern on the whiteboard: 6×6 = 365×7 = 35 = 36−1 4×8 = 32 = 36−4 3×9 = 27 = 36−9 a. Write down the next line of the pattern _____ x ______ = _____ = 36 – _____Miss Lovelace says this works for other starting numbers as well and writes a second pattern 15×15 = 225 14×16 = 224 = 225−1 13×17 = 221 = 225−4 30 x 10 = 30 = 46 - 16 20 x 10 = 20 = 36 - 16 40 x 10 = 40 = 56 - 16 20 x 10 = 20 = 20 None of the above None b. Complete the following line of the pattern9 x ____ = ____ = 225 –____ x 21 = 189 = 225 - 36 x 20 = 180 = 225 - 45 x 15 = 135 =225 - 90 x 10 = 90 = 225 - 135 None of the above None c. You are told that 1372 = 18769Use this fact and the idea above to work out the value of 133 x 141.(Note: Do not multiply 133 by 141) 18750 18769 18753 18740 18700 None 7) Amy, Bella and Cara have twenty sweets altogether. Amy says she has ten of the sweets. Bella says that Cara has one more sweet than Amy. Cara says that she has the most sweets Exactly one of them is lying. Who is lying? Explain briefly how you know. Answer: Amy is Lying Amy is not lying Cora has more than Amy Cora has less than Amy none of the above None 8) The numbers in the following shapes must follow the rule: To find the number in the circle, multiply the number in the triangle by 3, multiply the number in the square by 4 and find the difference ExampleWork out the missing values: 12, 7, 36, 13 10, 4, 40, 12 8, 3, 48, 10 18, 6, 32, 8 14, 5, 13, 15 None 9) A theme park wants to make more money. The director thinks that if she reduces the ticket price by one-third, the number of people who come to the theme park will double. a. In 2016, the park made £360 from ticket sales. Tickets were £4.50. How much money does the director think the theme park will make in 2017? 180 320 380 480 160 None b. In fact, the theme park makes £390. How many more people went to the theme park in 2017 compared to 2016? 40 60 50 80 100 None 10) This diagram shows a regular hexagon. What fraction of the hexagon is shaded? 2-Mar 3-Feb 3-Jan 2-Jan 4-Jan None Time's up
