Dulwich College 11 Plus Maths Specimen b Online Quiz

Welcome to your Dulwich College 11 Plus Maths Specimen Paper - B

TIME allowed for this paper: 60 minutes

Instructions

Attempt all the questions.
Do all your written work on this paper, showing all your working.
Calculators must not be used.
The numbers in square brackets are the marks available for each part of a question.
You must not write in the squares at the bottom right of each page.
There are 100 marks in total.

1. 543 + 284

827 727 627 927 525

2. 543 - 284

259 269 359 369 341

3. 543 × 6

3258 3248 3058 3048 3260

4. 3258 ÷ 9

362 462 262 358 412

5. Arrange the following numbers from smallest to largest:

\[\frac{3}{10}\] , 0.305, \[\frac{1}{3}\] , 0.350 0.305 , \[\frac{3}{10}\] , \[\frac{1}{3}\] , 0.350 \[\frac{1}{3}\] , \[\frac{3}{10}\] , 0.305, 0.350 \[\frac{3}{10}\] , \[\frac{1}{3}\] , 0.305 , 0.350 0.350 , \[\frac{1}{3}\] , 0.305, \[\frac{3}{10}\]

6. Fill in the missing numbers of these sequence:

(a) 22 , 29 , 36 , , 50 ,

(b) 3 , 6 , 12 , , 48 ,

43,57 43,55 41,59 42,56 40,54

7. A multipack of 15 packets of crisps costs £3.90.
A packet of crisps costs 35 pence if they are bought individually.

Calculate how much cheaper it is to buy a multipack of 15 packets of crisps than to buy 15 packets individually.

24,96 24,60 18,52 20,80 34,96

8. The length of one statute mile is given as 1609.344 metres.

(a) Circle which of the following describes the position of the 6 in the number above.

£ 1.35 £ 0.85 £ 2.35 £ 0.35 £ 1.15

(b) Round the number 1609.344 to the nearest ten.

hundreds units thousands tenths hundreths

9. Circle which of the four options below shows a correct rotation of the word:

1610 1609 1691 1601 1608

10. The pie chart below represents data collected in a survey of the summer holiday destinations of a sample of school children.
Half of the children went to Europe or the USA.

(a) Write down the angle of the wedge representing the number of school children who did not go on holiday.

30 60 130 45 15

(b) Write down the fraction of the children who travelled to the USA,
giving your answer in its simplest form.

\[\frac{1}{8}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{2}{5}\] \[\frac{1}{7}\]

(c) A total of 180 children were asked to complete the survey. Calculate how many of the children went on holiday to Africa.

30 40 50 60 20

(d) Estimate how many children would have visited Europe out of the whole school of 1600 pupils.

600 300 400 500 700

11. On a long straight country road, there are four villages: Josham, Keston,
Langham and Moreton, which are shown in the diagram below.

Distances between the villages are shown by the arrows.

(a) Work out the distance from:

(i) Keston to Langham;

14km 11km 16km 20km 24km

(ii) Langham to Moreton, giving your answer in metres.

9000m 7000m 8000m 6000m 5000m

(b) If a tourist cycles at 14 km per hour, work out how long her journey would take
from Josham to Moreton in hours and minutes.

2h 30min 3h 20min 2h 10min 4h 30min 3h 40min

12. A prime number has exactly 2 factors: itself and 1.
The numbers from 1 to 20 inclusive are written on 20 cards. Write down the
proportion of all the cards that have a prime number written on them, giving
your answer as a decimal.

0.4 0.3 0.5 0.2 0.1

13. The diagram shows a plan of the rectangular garden of local celebrity Louis
Cowell-Cole, with an L-shaped fish pond in the middle. The dimensions of
the garden and the pond are shown below.

Diagram not drawn to scale.

(a) Work out the area of the fish pond.

Answer: m²

24\[m^{2}\] 50\[m^{2}\] 96\[m^{2}\] 42\[m^{2}\] 38\[m^{2}\]

(b) Work out the area of the lawn.

Answer: m²

72\[m^{2}\] 62\[m^{2}\] 96\[m^{2}\] 24\[m^{2}\] 82\[m^{2}\]

Louis wants to put a stone path around the edge of the garden, just inside the existing
perimeter fence. Each paving slab is a square with sides 1 metre.

(c) Work out how many paving slabs are needed to complete this path.

Answer:

36 40 46 16 20

Louis hires a builder to lay the path. The builder charges £8 per hour basic labour
for the job, and then £1.50 per slab he lays.

(d) If he takes 3½ hours to finish the job, work out his overall fee.

£ 82 £ 72 £ 79 £ 75 £ 85

Louis then decides to plant a row of bushes around the inside of the stone path.
Each bush is to be planted 25 cm from the edge of the path, and 50 cm from its
neighbouring bushes. The diagram below display how this might look near a
corner of the garden.

(e) Calculate how many bushes are required to complete this in total.

60 28 50 30 80

14. In five of this mid-term tests, each out of 10 marks, Darshan scores 9 in Mathematics, 6 in English, 8 in Geography, 4 in History and 8 in Science.

(a) Write down the mode of Darshan's five scores.

Answer: marks

8 6 4 9 10

(b) Work out the range of marks that Darshan scores.

Answer: marks

5 1 3 4 2

(c) Calculate the mean average score that he achieved in these five tests.

Answer: marks

7 6 5 4 8

(d) After his French mark is announced, Darshan's average score from all six tests falls to 6.5 marks. Calculate the mark he score in his French test.

Answer: marks

4 1 5 6 8

(e) The pass mark for each test is 50%. Write down what fraction of Darshan's six tests(including his French) he managed to pass, leaving your answer in its simplest form.

Answer: marks

\[\frac{2}{3}\] \[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{2}{7}\] \[\frac{1}{6}\]

In the end of term tests, Darshan scores 15 out of 20 in his History.

(f) Work out what his percentage improvement is in this subject.

Answer:

35% 75% 40% 25% 15%

15. Work out what time it is now if the time that has passed since nine o'clock this
morning is five times as much as the time that is left before eleven o'clock this
morning.

Answer: :

10:40 10:20 10:00 9:40 11:15

16. In 1 tree, 2 chimps can eat 3 bananas in 4 minutes.

(a) Work out how long it would take 2 chimps to eat 6 bananas.

Answer: minutes

8mins 4mins 12mins 16mins 6mins

(b) Work out how many chimps would be required to eat 21 bananas in 8 minutes.(You can assume that the tree has a large number of bananas available and that the chimps all have big appetites!)

Answer:

7 9 8 6 10

Dulwich College 11 Plus Maths Specimen b Answer paper

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