Dulwich College 11 Plus Maths Specimen Paper 1

Answer all the questions.
Do all your written work on this paper.
Calculators must not be used.
Numbers in square brackets are the number of marks available.
There are 100 marks in total.
 
                          WORK OUT THE FOLLOWING
                             (SHOW YOUR WORKING)

8. a) Given that Tom eats 3/5 of a cake and his friend, Jerry, eats 1/3 of the cake,
          what fraction of the cake is left?

b)  Given that Tom’s piece of cake weighed 150 grams, what was the weight of
       the whole cake?

10. Write the following events in order, with the most probable (i.e. most likely)
       first and the least probable (i.e. least likely) last. Give your answer as a
       sequence of letters, e.g. BACED.

A: Being born on a Wednesday;
B: A meteorite falls on the College tomorrow;
C: Rolling a 4 with a fair die;
D: Obtaining a head when a fair coin is tossed;
E: Obtaining an even number when two odd numbers are multiplied together.

13.  The distance from Calais to Paris is 320 km.
        5 miles is approximately 8 kilometres.
      Calculate the approximate distance in miles from Calais to Paris.

14.  Shortcrust pastry is made using flour and fat in the ratio 2:1.
        How many grams of flour are needed to make 900 grams of shortcrust pastry?

16.  Three bus services stop at my bus stop. Service A departs every 3 minutes,
        service B every 5 minutes and service C every 8 minutes.

        If all three services leave my stop at 10.00 a.m., at what time will they next
        leave my stop together? (Assume that all three services always run on time).

19. 
a) On the grid above, plot and label the points A (0, 3) , B(2, 5) , C (6, 3) and
     D (2,1) .

b)  Join ABCD.

c)  What name is given to this shape?

d) Find the coordinates of the point of intersection of the diagonals.

e)  Draw on any lines of symmetry.

f)  Calculate the area of ABCD.

20.  My age is a multiple of 7. Next year it will be a multiple of 5. I am more than
        20 years old, but less than 80. How old am I?

21. A piece of wire 30cm long is bent into the shape of a rectangle. If the
      rectangle is twice as long as it is wide, what is its area?

24.  Along any line drawn, the numbers in the two circles at the end of a line
       should multiply to make the number in the square between the two circles.

     Fill the remaining squares and circles with numbers obeying this rule.