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