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  five

b) The difference between the  11 and 30

c) a number which is not a prime number

d) the square root of 9

ii) Write down the next two numbers in the pattern

iii) What is the first number in the pattern which is greater than 48?

2. 1983 people buy tickets for concert.
a) What is the value of  1 in 1983.
 write your answer in words/.

b) Write 1983 correct to the nearest hundred.

c) Each concert ticket cost  £16.
i) How much do 1000 tickets cost?

c.(ii) Use your answer  to part (b) to estimate the total cost of al the tickets sold.

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 ?

ii) How many packs of football cards did Ryan buy altogether ?

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.

b) How much change does she get?

4.    50.79    49.7     50.9      50.09       42.29 
i)   Write down the largest number from the list  above.

ii) Write down the smallest number from the list  above.

iii) Work out the sum of the largest and  smallest numbers in the list.

5. Write down any number which is between
i) 35 and 38

ii) -1 and 0

iii) 0.2 and 0.3

iv)  \[\frac{1}{3}\] and \[\frac{1}{2}\]

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.

ii) How many blue counters does she have?

   The rest of the counters are green.

iii) How many more green counters  than the blue counters are there?
Belinda puts her 60 counters into bag and picks one at random.

7. 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.

iii) Measure and write down the  length of BD.

iv) What special type of quadrilateral is ABCD?

8. This map shows  the temperature in four cities one morning in January?

 

i) Which city had the lowest temperature.

ii) How many degrees warmer was it in Plymouth than in London?

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?

iv) Write down the temperature  in Liverpool in the evening?

9. 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?

Another company Autohire, charges £20 for each day.
ii).a . How much would it cost to rent a car for 6 days from Autohire?

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?

10. You are told that 1 inch = 2.5 centimeters
      Use the information to write :
i)  7 inches in centimeters

ii) 70 inches in meters

11. Five pupils  enter a maths competition.
    Their scores in the Mental challenge are:
             18        20        15            20
For these 5 scores workout
i) the mode

ii) the median

iii) the mean

12. 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.

iii) Complete the bar chart.

13.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?

ii) How many small cubes must be added to make a large cube with each side 4 cm.

       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. 



                       

14. 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.

b) There is a Pattern with 40 white tiles.
 Which number pattern is it?

iv) A pattern has 100 grey tiles. How many white tiles are  in this pattern?