iSEB Jan 2006 (Common Entrance)

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COMMON ENTRANCE EXAMINATION AT 11+MATHEMATICSMonday 16 January 2006Please read this information before the examination starts.This examination is 60 minutes long.Please try allthe questions.Write your answers on the dotted lines.All working should be written on the paper.Tracing paper may be used.Calculators are not allowed.S.A. 2816203© Independent Schools Examinations BoardSURNAME .......................................................................FIRST NAME ...................................................................(Block capitals, please)JUNIOR SCHOOL ............................................................SENIOR SCHOOL ...........................................................www.mymathscloud.com
1.(i) One day, Grace buys two apples which cost 25 pence each and a bananawhich costs 38 pence.How much does she pay altogether?Answer: .................................... pence(2)(ii) Another day, she buys a pear and an orange.The pear costs 28 pence.She spends 60 pence altogether.How much is the orange?Answer: .................................... pence(2)(iii) On a third day, she spends £1.26 on three identical peaches.How much is one peach?Answer: .................................... pence(2)S.A. 28162032www.mymathscloud.com
2. Look at the two number cards below.card Acard B(i) Write down two factors of the number written on card A.Answer: ................... and ....................(2)(ii) By which number must you multiply the number on card B to get thenumber on card A?Answer: ...............................................(1)(iii) What is the difference between the numbers on the two cards?Answer: ...............................................(2)11110S.A. 28162033Turn overwww.mymathscloud.com
3. Here is the first part of a pattern of numbers.1591317(i) From the numbers written above, write down(a) a prime numberAnswer: ...............................................(1)(b) a square number.Answer: ...............................................(1)(ii) (a) Write in words the rule to get the next number in the pattern.Answer: ...............................................(1)(b) Write down the next four numbers in the pattern.Answer: ......... , ......... , ......... , .........(iii) (a) Which of your numbers in (ii) (b) above are multiples of three?Answer: ...............................................(1)(b) What do you notice about the position of the multiples of three in thispattern of numbers?Answer: ................................................................................................(1)(2)S.A. 28162034www.mymathscloud.com
4. Five members of a family measured their height.They recorded their measurements in this table.(i) Who is the tallest member of this family?Answer: ...............................................(1)(ii) Write Fiona’s height in centimetres.Answer: ......................................... cm(1)(iii) Find the range of heights.Answer: ................................... metres(2)(iv) How much taller is Fiona than David?Answer: ......................................... cm(2)(v) Write the heights of the family in order, starting with the smallest.Answer: .................. , .................. , .................. , ................... , ..................(3)S.A. 28162035Turn overnameheightJane1.5 mBob1.9 mTracy85 cmFiona1.2 mDavid1.14 mwww.mymathscloud.com
5. (a) The number machine below changes numbers according to the rule multiplyby 3 and then add 5Write the missing inputand outputnumbers for the machine.input→→output5→204→(1)11→(1)→8(1)(b) I think of a number, halve it and then subtract 1The result is 5Which number am I thinking of?Answer: ...............................................(2)...................................................35multiply by 3 andthen add 5inputnumberoutputnumber3 5S.A. 28162036www.mymathscloud.com
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