Dulwich College 11 Plus Maths Specimen f Online Quiz

Welcome to your 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:

2614 2604 2514 2504 2641

2. 63 × 42

Answer:

2646 2546 368 378 2550

3. 6.48 ÷ 6

Answer:

1.08 1.09 1.8 1.05 1.9

4. 7.257 – 3.47

Answer:

3.787 6.91 3.887 4.787 4.887

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

(a) 3 , 9 , 21 , 27 ,

15,33 15,31 14,33 15,30 12,33

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

32,2 34,2 22,2 32,3 30,2

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

122,121 116,112 116,121 122,112 122,124

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

120,5040 100,5040 120,4940 96,2880 120,3600

6. Circle the factors of 99:

9 198 990 33

66 11 18 48

9,11,33 66,198,990 18,48,66 9,18,198 11,66,990

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

120 100 150 160 180

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.

12.5% 1.25% 10% 15% 20%

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

\[\frac{}{24}\] \[\frac{3}{8}\] \[\frac{1}{24}\] \[\frac{1}{3}\] \[\frac{1}{8}\]

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

1.52 0.80 1.42 1.62 0.60

9.(b) Write 21/70 as a decimal.

0.3 0.2 0.4 0.5 0.1

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?

\[\frac{11}{35}\] \[\frac{3}{12}\] \[\frac{24}{35}\] \[\frac{13}{35}\] \[\frac{1}{3}\]

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

1620 1610 1615 1600 1625

11.(b) Round 2017 to the nearest 100.

2000 2010 2020 2100 2200

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).

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

Trapezium Paralellogram Square Rectangle Triangle

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

\[10 cm^{2}\] \[20 cm^{2}\] \[12cm^{2}\] \[8 cm^{2}\] \[14 cm^{2}\]

13. Work out the perimeter of this shape.

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

64cm 62cm 60cm 58cm 53cm

14. 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

120 80 100 160 60

(b) 888² - 112²

776000 77600 7760 768240 77680

(c) 7.5² - 2.5²

50 45 40 55 30

15. 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.

16 17 15 14 18

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

110 120 160 90 80

17. 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.

162cm 40cm 152cm 142cm 132cm

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

£ 26 £ 115 £ 20 £ 13 £ 30

19. 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:

8\[ms^{-1}\] 10\[ms^{-1}\] 12\[ms^{-1}\] 20\[ms^{-1}\] 18\[ms^{-1}\]

20. 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

83 73 138 63 53

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

13 23 33 43 49

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

22 42 52 12 62

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

0 1 3 2 4

21. 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

7 6 5 4 3

21.b) You are also told that

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

22 15 55 20 30

22. 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.

A=11,B=44,C=36 A=9,B=44,C=36 A=11,B=33,C=36 A=11,B=44,C=32 A=11,B=40,C=36

b)

A=8,B=17.5,C=12.5 A=6,B=17.5,C=12.5 A=8,B=16.5,C=12.5 A=8,B=17.5,C=10.5 A=5,B=17.5,C=12.5

23. 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.

\[\frac{1}{3}\] \[\frac{2}{3}\] \[\frac{1}{5}\] \[\frac{1}{4}\] \[\frac{3}{8}\]

b)

\[\frac{128}{35}\] \[\frac{84}{35}\] \[\frac{111}{25}\] \[\frac{101}{45}\] \[\frac{131}{45}\]

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.

Dulwich College 11 Plus Maths Specimen f Online Quiz

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