Blackheath High School 11 + Entrance and Scholarship Exams Mathematics Practice Paper by misbah | Aug 6, 2021 Welcome to your Balckheath High School 11 + Entrancce and Scholarship Exams Mathematics Practice Paper 1.The tables shows part of Multiplication Grid.Fill in the missing numbers. 2. I need exactly liter of water.I have a measuring jug it holds 400 ml when it is full.Explain how I can use my measuring jug to obtain 1 liter of water? we need to fill two and a half jug to obtain 1 litreof waterwe need to fill two and a quarter jug to obtain 1 litreof waterwe need to fill only two jugs to obtain 1 litreof waterwe need to fill only three jugs to obtain 1 litreof waterNone of the Above 3.Fill in the next two numbers in each of these sequence.a) 3 , 5, 7, 9 , ...... , ........11, 1312, 1513, 1614, 1910, 11 b) 5.1 , 6.3 , 7.5 , 8.7 , .... , ......9.9, 11.18.9, 9.110.9, 12.59.0, 11.2None of the Above c) 1 , 3 , 9 , 27 , .... , ....81, 24354, 10891, 364135, 275None of the Above d) 0.3 , 0.6 , 1.2 , 2.4, .... , ....4.8, 9.67.2, 21.63.8, 8.55.8, 4.2None of the Above e) 15 , 13, ,11 , 7 , 3 , ... , ....-1,-5-2, -7-3, -71, 5None of the Above 4.a) Neruka bought a pen costing £4.93 , a pencil costing 24p and a ruler costing 58 p. How much did she spend altogether?£5.75£5.51£5.17£6.25£4.75 b) She paid them with a £20 note. How much change did she get?£14.25£14.49£14.83£13.25£15.25 5. The graph below shows the number of busses passing the school each morning?a) What is the name of this type of graph?PictogramHistogramPieChartsPopulation PyramidsGant Charts b) How many busses were there on Thursday?80 buses100 buses90 buses40 buses70 buses c) How many busses were there on Tuesday?90 buses100 buses80 buses40 buses70 buses d) On Friday there were 60 busses. Add this information to the graph? e) How many busses were there in total over the whole week?370 buses290 buses330 buses310 buses270 buses 6. These Patterns are from Islamic design. ExampleEach pattern has one or more lines of symmetry.Draw all the lines of symmetry in each pattern. 7. Lola buys as many first-Class stamps as she can with a £5 note. First class stamp cost 27p each.a) How many stamps did she get?18 stamps12 stamps16 stamps10 stamps14 stamps b) How much money did she have left?14p10p16p12p18p c) Explain why your last answer must be less than 27 p ?Because then she could have bought 19 or more stampsBecause then she could have bought 20 or more stampsBecause then she could have bought only 16 or less stampsBecause then she could have bought 10 or less stampsNone of the Above From the numbers 21,22,23,25.27,29 choose one which isa) Even2221252729 b) A multiple of 92721232925 c) Square2521222329 d) A factor of 872921252227 e) a prime number29232721Both a & b f) a triangle number2125272922 9. Fill in the space to make all these fractions equal .1, 6, 21, 201, 4, 23, 182, 5, 24, 223, 7, 20, 21None of the Above 10. a) Use your ruler to measure the length and width of this rectangle. as accurately as you can.width = 5.6cm & Length = 10.2cmwidth = 3.8cm & Length = 11.4cmwidth = 4.5cm & Length = 12.2cmwidth = 3.6cm & Length = 9.2cmwidth = 6.6cm & Length = 13.5cm b) Use your answer to work out the Perimeter of the rectangle.31.6cm32.8cm28.5cm26.8cm30.8cm 11. Put rings round all the numbers which are equal to 75%.\[\frac{6}{8}\], \[\frac{3}{4}\], 0.75, \[\frac{75}{100}\]\[\frac{6}{8}\],\[\frac{3}{4}\],0.34,\[\frac{3}{4}\],\[\frac{6}{8}\],\[\frac{3}{4}\],0.75,0.3\[\frac{6}{8}\],\[\frac{3}{4}\],34%,0.34\[\frac{75}{100}\],\[\frac{3}{4}\],0.24,\[\frac{6}{8}\] 12. In her examination, Manreet got 16 marks out of 20. What was her mark as a percentage.80%60%90%70%50% 13. This is the mark sign in one shop.a) explain why 25% is one quarter.\[\frac{1}{4}\]\[\frac{1}{2}\]\[\frac{1}{3}\]\[\frac{3}{4}\]\[\frac{2}{3}\] b) Sandra chooses a pair of jeans marked as £48. How much did Sandra save by buying them in sale?£12£16£14£18£10 c) How much will she have to actually pay for them in sale?£36£30£34£28£38 14. a) If you throw a fair die 36 times, How many 3's would you expext to get? 65798 b) Natasha took another die and throws it 30 times. She got these results. c) Fill in this tally chart and work out frequencies ( How many times she got each number)Do you think the die was fair? Explain your answerNoYesNuetralMostly YesNone of the Above 15. The point A has co-ordinates (2,1).What are the co-ordinates of B and C?B is (0, 4) C is(2, 4)B is (0, 2) C is(1, 3)B is (0, 3) C is(2, 3)B is (0, 4) C is(2, 2)None of the Above b) On the graph above mark points L(6,1) and M( 6,5).Make a third Point N so that three points L,M,N join up to make an Isosceles Triangle 16. The shaded rectangle has area 12 \[cm^{2}\]. a) On this grid draw a different rectangle with area 12 \[cm^{2}\]. (Rotations are not allowed). b) On this grid draw triangle with the area of 6 \[cm^{2}\]. 17. Polly has three cards with numbers on :Show how she could arrange them to geta) the largest possible number 94319341941393149143 b) the smallest possible number13491394143914931934 c) the number nearest to 40004139431941934391None of the Above d) Nitharna gives her a card with a decimal point on 49.3149.1343.9143.1941.93 18. A ticket inspector counted how many passenger there in each carriage of a train.The result were: 5 , 24 , 37 , 45 , 36 , 39 , 22 , 16a) Work out the mean (average) number of passengers.Show how you worked this out.2826243022 b) work out the range of the number of passengers .40453525None of the Above c) She worked out that the median number 0f passenger was 30. show what working she used to get the answer.3024343236 19 Reflect these shape sin the mirror line. 20. Anna is making patterns with matchsticks. Here are her first three.Draw pattern 4 in the space below. These question are about the matchstick pattern a) In shape 6, How many triangles will there be?11 Triangles9 Triangles17 Triangles10 Triangles13 Triangles b) In shape 6, how many matches will there be ?23 matches21 matches15 matches25 matches19 matches c) In shape 100, how many matches will there be?explain how you worked this out.399 matches299 matches199matches499matches599matches e) Anna makes a shape with 29 triangle, How many matches did she use?59 matches49 matches69 matches39 matchesNone of the Above 21. Siobhan has lost of 2p stamps and plenty of 5 stamps. Show how she could use them to pay for postage of amounts from 81p to 99 p.a) 82 = ——–— b) 83 = ——–— c) 84 = ——–— d) 85 = ——–— e) 86 = ——–— f) 87 = ——–— g = 88 h) 89 = ——–— i) 90 = ——–— j) 91 = ——–— k) 92 = ——–— L) 93 = ——–— M) 94 = ——–— n) 95 = ——–— o) 96 = ——–— p) 97 = ——–— q) 98 r) 99 Time is Up! Time's up