Dulwich College 11 Plus Maths Specimen Paper – F

Time allowed for this paper: 1 hour
Instructions
 Attempt all the questions.
 Calculators must not be used.
 Show all of your working on this paper.
 There are 100 marks available in total for this test.
 You must not write in the squares on the bottom right of each page.
 The marks available for each part of a question are given in square brackets.

Calculate:

1. 2017 + 597

Answer: 

2.    63 × 42

Answer: 

3.  6.48 ÷ 6

Answer: 

4.   7.257 – 3.47

Answer: 

5. Write down the missing terms in each of the sequences below:

(a)   3 ,       9 ,      ,        21 ,          27 ,         

(b)    ,        16 ,        8 ,           4 ,          ,          1

(c)   100 ,       132 ,        116 ,        124 ,      120 ,      ,       

(d)  1 ,        2 ,        6 ,       24 ,        ,       720 ,       

6. Circle the factors of 99:

     9                      198                       990             33

     66                    11                           18               48

7. Subtract 20 + (1 × 7) from (20 + 1) × 7.

8. In a survey a group of children were asked how many films they had seen in the
last week. No-one in the group had seen more than four films, and the results are
shown in the pie chart below.



(a) Work out the percentage of children who had seen exactly three films.

(b) Work out the fraction of children who had seen no films, giving your
answer in its lowest terms.

Nine of the children who were surveyed had seen exactly one film and another nine
had seen exactly three films.

(c) Fill in the table below to show the number of children who had seen 0,
2, and 4 films.

 Number of films                    0                   1                2                   3                  4

Number of children                9                9           
        surveyed

9. (a)  Calculate 0.35 + 4/5 + 37/100, leaving your answer as a decimal.

(b)  Write  21/70 as a decimal.

10. Simon and Fiona are sharing a cupboard. If Simon’s things take up 2/5 of the space
and Fiona’s things take up 2/7 of the space, what fraction of the cupboard is empty?

11. (a) Round 1619 to the nearest 10.

(b) Round 2017 to the nearest 100.

12. A, B and C and D are 4 points on a grid. A is at (5, 1), B is at (1, 1) and C is at
(1, 3) and D is at (5, 4).


(a) Plot the points B, C and D and then connect them to form the
quadrilateral ABCD.

(b) State what type of quadrilateral has been formed.

(c) The side length of each small square in the grid is 1 cm. Work
out the area of the quadrilateral ABCD.

13. Rotate the triangle through 180° about the point marked A.

14. Work out the perimeter of this shape.

Note: all angles are right angles but the diagram has not been drawn to scale.

15. The example below shows a quick way to work out the difference between two
square numbers.

 19² - 16² = (19 + 16) (19 - 16) = 35 × 3 = 105

Use this method to work out the following:

(a)  17² - 13²

Answer: 

(b)  888² - 112²

Answer: 

(c)  7.5² - 2.5²

Answer: 

16. The mean (average) of five numbers is 28. The mean of a different set of twelve
numbers is 11. Calculate the mean of all of the numbers together.

17. Work out the value of x from the diagram below.



Answer:  x =   

18. The shape below is made up of equilateral triangles. The side length of the
largest triangle is 16 cm. Work out the total length of all of the lines used to
draw the shape.

19. Jon has 30% more money than Miguel and together they have £46. Calculate
how much money Jon has.

20. A group of children are playing a game where they can score either 2, 3 or 5
points on each turn. The children have had 8 turns each and recorded their scores
in a table, but some of the entries have been deleted. Fill in the missing numbers
to give a complete set of scores.


Name             2 points             3 points              5 points            Total Score

Carl                      1                         6                           1                             25

Alex                     4                         2                                

Yusuf                            3                                           25

Jing                                                           35

Charlotte                                                   18

21. Write each of the numbers 80, 81, 82, 83, 84 and 85 in the spaces below, using
each number only once, to make all of the statements true.

    is a square number

   is a prime number

   is a multiple of 5

   is the product of two prime numbers

   is double a prime number

   is a multiple of 3

22. James cycles 4000m at 10 metres per second. Tom takes 100 seconds more to
cycle the same distance. At what speed does Tom cycle?

Answer:     metres per second

23.  The instruction x ♠ y means double x and add y.
         For example:    5 ♠ 3 =  2 × 5 + 3 = 13

(a) Work out the value of 14 ♠ 55

(b) What is the value of a if 9 ♠ a = 31

(c) What is the value of b if b ♠ 10 = 16 ♠ b

(d) The numbers c and d are such that c ♠ d = d ♠ c . Work out the value
       of d - c .

24. The cards below have letters on one side, and the numbers 1, 2, 3, 4, 5, 6 and
7 on the other side (but not necessarily in this order on the cards).


You are told that:


(a) Find the value of 

You are also told that


(b) Work out what the following add up to.

25. Along any line drawn, the numbers in the two circles at the end of a line should
add together to make the number in the square between the two circles, as in the
first example. Fill the remaining circles with numbers obeying this rule.

26.  Each of the diagrams below shows a pair of triangles drawn on a grid of squares
of side length 1cm and a smaller shaded triangle where these overlap. Each
corner of each of the large triangles lies exactly at the corner of a square on the
grid. Work out the area of the shaded triangle in each case.

End of the Examination

If you have time, go back and check your answers and
make sure that you have shown all of your working.