ISEB COMMON ENTRANCE EXAMINATION AT 11+ MATHEMATICS Practice Paper (2009-2010) by misbah | Aug 6, 2021 Welcome to your ISEB COMMON ENTRANCE EXAMINATION AT 11+ MATHEMATICS Practice Paper (2009-2010) 1. Here is the start of the number pattern 3 7 11 15 19 23 27 ....i) From the numbers written above, write down,a) a multiple of five1519111413 b) The difference between the 11 and 30192991020 c) a number which is not a prime number1527711both a&b d) the square root of 937112327 ii) Write down the next two numbers in the pattern31,3530,3431,3429,3332,35 iii) What is the first number in the pattern which is greater than 48?5150495343 2. 1983 people buy tickets for concert.a) What is the value of 1 in 1983. write your answer in words/.One thousandTen thousandOne hundredOne tenthsOne units b) Write 1983 correct to the nearest hundred.20001000190019801990 c) Each concert ticket cost £16.i) How much do 1000 tickets cost?£ 16000£ 1600£ 160000£ 10600£ 1000 c.(ii) Use your answer to part (b) to estimate the total cost of al the tickets sold.£ 32000£ 16000£ 48000£ 40000£ 30000 3. Ryan collects football cards.Last week he bought 56 football cards.This week he bought 72 football cards.i) How many football cards did he buy in total ?128138148118130 ii) How many packs of football cards did Ryan buy altogether ?1617181920 iii) Ryan's sister buys him another 9 packs of football cards.Each pack cost 35 pence.a) What is the cost of 9 packs of football cards ?She pays with a £5 note.£ 3.15£315£ 3.25£ 2.95£ 2 b) How much change does she get?£ 1.85£ 1.95£ 2.85£ 2.95£ 2 4. 50.79 49.7 50.9 50.09 42.29 i) Write down the largest number from the list above.50.950.0949.2949.750.79 ii) Write down the smallest number from the list above.49.2949.750.7950.952 iii) Work out the sum of the largest and smallest numbers in the list.100.1999.1990.19100100.99 5. Write down any number which is betweeni) 35 and 3836373538both a&b ii) -1 and 0-0.50.50.25-0.150.15 iii) 0.2 and 0.30.250.350.450.150.1 iv) \[\frac{1}{3}\] and \[\frac{1}{2}\]\[\frac{2}{5}\]\[\frac{3}{5}\]\[\frac{1}{4}\]\[\frac{2}{3}\]\[\frac{1}{5}\] 6. Belinda has 60 coloured counters one third of them are red.i) How many red counters does she have ? 25% of the counters are blue.2030401050 ii) How many blue counters does she have? The rest of the counters are green.1520253035 iii) How many more green counters than the blue counters are there?Belinda puts her 60 counters into bag and picks one at random.1020304050 iv) On the probability scale below, mark the following probabilities with the letter shown:A) the probability that the counter is redB) the probability that the counter is yellow.C) the probability that the counter is not blue. Shapes A an D are drawn on the centimeters-square grid below. i) Reflect Shape A in dashed line.Label the new shape B. ii) Translate Shape A 2 units down and 5 units right. iii) Rotate the shape D through \[180^{o}\] about the point marked x. Label the new shape E. iv) Calculate the area of shape A .2.5\[cm^{2}\]3.5\[cm^{2}\]1.5\[cm^{2}\]4.5\[cm^{2}\]1\[cm^{2}\] 8. i) Construct triangle ADC , in which the angle DAC = \[44^{o}\] and AD = 56 mm.(Use the dashed line AC as the base of your triangle.) ii) Measure and write down the size of obtuse angle ABC.11012090130160 iii) Measure and write down the length of BD.7.9cm8.9cm6.9cm5.9cm9.9cm iv) What special type of quadrilateral is ABCD?KiteSquareTriangleRectangleParalellogram 9. This map shows the temperature in four cities one morning in January? i) Which city had the lowest temperature.EbinburghLondonLiverpoolPlymouthnone of the above ii) How many degrees warmer was it in Plymouth than in London?34256 iii) Which two cities had a temperature difference of \[6^{o}\] C?In the evening the temperature in Liverpool was \[2^{o}\] C colder than in the morning?London & EbinburghLiverpool & PolymouthLondon & LiverpoolEbinburgh & PolymouthLiverpool & Polymouth iv) Write down the temperature in Liverpool in the evening?-3-4-1-52 10. Alice goes on holiday with her family. Her parents want to rent a car? To cost to rent a car from Rob's rental is shown on graph below?i) Use the graph to find the cost of renting a car from Rob's rentals for 6 days?£ 110£ 100£ 120£ 105£ 130 Another company Autohire, charges £20 for each day.ii).a . How much would it cost to rent a car for 6 days from Autohire?£ 120£ 130£ 140£ 110£ 150 b) Use your answer to draw a line on the grid on the previous page, showing the cost of renting a car from Autohire ? iii) Use the graph to complete the sentence:Both companies charged the same amount of rent for ------------ days?56743 11. You are told that 1 inch = 2.5 centimeters Use the information to write :i) 7 inches in centimeters17.5cm14.5cm15.5cm18.5cm1.75cm ii) 70 inches in meters1.75cm17.5cm1.45cm1.35cm1.4cm 12. Five pupils enter a maths competition. Their scores in the Mental challenge are: 18 20 15 20For these 5 scores workouti) the mode2012151816 ii) the median1812101516 iii) the mean1716181915 13. Mathew asked everyone in year 6 to tell him their favorite subject. He put the results in table and then started to draw a bar chart.some of the information is covered by ink.36 children choose sport.i) Use the information to write a scale on the vertical axis. ii) Use your scale to calculate the number of children who chose music.1620253035 iii) Complete the bar chart. 14. The two school hockey teams are called team Alpha and Team Beta. Some information about the number of right handed (RH and left handed(LH) players in each team is shown in table below. Complete the table above. ii) What fraction of the left handed players are in team Alpha?At the end of the term, a left handed player from team Beta moves into team Alpha and aright handed player from team Alpha moves into team Beta.\[\frac{2}{3}\]\[\frac{1}{3}\]\[\frac{2}{5}\]\[\frac{1}{5}\]\[\frac{1}{2}\] iii) Redraw the table to show the new team. The hockey pitch is 55 meters wide. During a practice Anna runs a distance equivalent to 18 widths of a pitch, iv) calculate the distance.990m950m590m550m900m 15.a) This solid shape is made from identical cubes with 1 cm edges . There are no hidden cubes.i) What is the volume of the shape?10\[cm^{3}\]20\[cm^{3}\]30\[cm^{3}\]40\[cm^{3}\]50\[cm^{3}\] ii) How many small cubes must be added to make a large cube with each side 4 cm.5474644450 b) A tetrahedron is made from four congruent equilateral triangle. In the space below, draw an accurate net for this tetrahedron. The shaded face has already been drawn for you. 16. Here are some pattern made from tiles.i) Draw pattern 4 on the grid below. ii) Complete the table. iii).a. How many grey tiles are there in 8th Pattern.6416547444 b) There is a Pattern with 40 white tiles. Which number pattern is it?95876 iv) A pattern has 100 grey tiles. How many white tiles are in this pattern?4434243010 Time is Up! Time's up