Dulwich College 11 Plus Maths Specimen Paper A Online Quiz

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

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. Calculate 546 + 287.

Answer:

833 723 733 823 843

2. Calculate 546 - 287.

Answer:

259 369 269 359 249

3. Calculate 546 × 4.

Answer:

2184 2064 2164 2084 None of the above

4. Calculate 2184 ÷ 7.

Answer:

312 212 412 321 112

5. Calculate how much bigger 3¼ is than 1¾, writing your answer as a decimal.

Answer:

1.5 1.7 0.75 0.5 1.25

6.(a) Fill in the missing numbers of these sequences:

(a) 14, 17 , 20 , 23 ,

26,29 27,31 25,27 23,20 None of the above

6. (b) Fill in the missing numbers of these sequences:

14, 13.25, 12.5 , 11.75,

11,10.25 11,12.5 10.25,9.75 12.25,13 None of the above

7. (a) Work out ¼ of 48.

Answer:

12 36 24 16 20

7. (b) Work out ½ of 1/3 of ¼ of 48.

Answer:

2 6 4 8 3

8. The pie chart below represents data collected in a survey by a PE teacher
about the favorite sports of a sample of school children.

(a) Write down the fraction of the school children who liked tennis, giving
your answer in its lowest form.

Answer:

\[\frac{1}{8}\] \[\frac{3}{5}\] \[\frac{1}{6}\] \[\frac{1}{10}\] \[\frac{1}{4}\]

(b) A total of 240 children were asked to complete the survey. Calculate
how many of the children preferred cricket.

Answer:

40 50 60 30 20

(c) Estimate how many children would say their favourite sport was football out of
the whole school of 1200 pupils.

Answer:

450 250 350 550 400

9. I buy 6 bags of chocolate coins from a shop and count the number of coins in
each bags. The quantities were as follows:
8 , 7 , 11 , 6 , 9 , 7

(a) Write down the mode of the quantities.

Answer:

7 8 9 6 None of theabove

(b) Work out the mean (average) of the number of chocolate coins.

Answer:

8 9 7 6 5

(c) Work out the range of the quantities in the 6 bags.

Answer:

5 6 7 3 2

10. A multipack of 12 cans of Ned's Cola costs £6.95.
A single can of Ned's Cola costs 65 pence if bought individually.
Calculate how much cheaper it is to buy a multipack of 12 cans than to buy 12
cans individually, giving your answer in pence.

Answer:

85P 65P 75P 95P 45P

11. Arrange the following fractions in numerical size order, starting with the smallest.

Answer:

\[\frac{1}{20}\] , \[\frac{1}{5}\] ,\[\frac{1}{4}\] , \[\frac{3}{10}\] , \[\frac{3}{20}\] \[\frac{1}{20}\] , \[\frac{3}{20}\] ,\[\frac{3}{10}\] , \[\frac{1}{5}\] , \[\frac{1}{4}\] \[\frac{3}{20}\] , \[\frac{1}{4}\] ,\[\frac{1}{20}\] , \[\frac{3}{10}\] , \[\frac{1}{5}\] \[\frac{3}{20}\] , \[\frac{3}{10}\] ,\[\frac{1}{4}\] , \[\frac{1}{5}\] , \[\frac{1}{20}\] None of the above

12. (a) An equilateral triangle is divide into smaller equilateral triangles as shown below. State out how many angles of 60° there are in the diagram.

Answer:

27 36 45 18 9

(b) The diagram is now squashed to make the top angle 90°, turning all the triangles
into right -angled isosceles triangles. Calculate how many acute angles there are in the diagram now.

Answer:

18 9 27 36 45

13. On the axes below, point A has coordinates (3,1).

(a) Write down the coordinates of point C.

Answer:

(-3,4) (-3, 3) (5,4) (-1,1) (-3,1)

(b) Plot the point with coordinates (5,4) onto the axes and label it B.

(c) Plot another point, D, and then join ABCD in that order so that you form
a quadrilateral shape with one line of symmetry.

(d) Write down the common name for the quadrilateral ABCD.

Answer:

Trapezium Parallelogram Rectangle Square Rhombus

14. Each shape in this grid is hiding a particular number so that the three shapes in
any row or column add up to the value written at the end of that row or column.

Work out the number that should replace the question mark.

17 20 19 14 15

15. Rhys and Sarah are on their bicycles and start 90 miles apart on a road, riding
towards each other. Rhys is travelling at 10 mph and Sarah is travelling at 20mph
They set off at the same time and both keep moving at constant speeds until they meet.

(a) Work out what distance each rider has cycled by the time they meet.

Answer: Rhys: ——— Miles

Answer: Sarah: ——— Miles

Rhys: 30Miles, Sarah: 60Miles Rhys: 30Miles, Sarah: 30Miles Rhys: 3Miles, Sarah: 15Miles Rhys: 40Miles, Sarah: 80Miles Rhys: 60Miles, Sarah: 30Miles

(b) Write down the time taken for them to meet.

Answer:

3 hours 1.5 hours 2 hours 4 hours 2.5 hours

16.(a) Find the area of the rectangle shown below.

Answer:

\[1200mm^{2}\] \[3600mm^{2}\] \[4000mm^{2}\] \[2400mm^{2}\] \[1000mm^{2}\]

(b) George cuts the rectangle up into an excel number of right-angled triangles,
each with sides as shown in the diagram below.

Calculate the number of triangles that he cuts from the rectangle.

Answer:

40 15 30 20 50

(c) Find the combined perimeter of all the triangles that have been cut from the rectangle.

Answer:

1200mm 450 mm 900 mm 1500 mm 600 mm

(d) Convert this distance from millimeters into meters.

Answer:

1.2 m 2.1m 3.2 m 1.5 m None of the above

17. On the island of Pythageuleria all vehicle number plates have 2 letters from
the selection A, B, C, D, followed by a number 1, 2, 3 or 4.
For example:

Note that repeated letters are allowed.

(a) Calculate how many plates start with a double B.

Answer:

4 8 6 2 3

(b) Calculate how many plates there are that start with any repeated letter.

Answer:

16 12 20 18 8

(c) Calculate how many plates contain just one vowel and an odd number.

Answer:

12 24 18 6 None of above

(d) Given that there are 64 possible codes in total, calculate what fraction of the number plates have their two letters in alphabetical order, giving your answer in its lowest form.

Answer:

\[\frac{3}{8}\] \[\frac{1}{8}\] \[\frac{2}{8}\] \[\frac{1}{2}\] None of above

18. A new design for a novelty watch gives the time in 24-hour clock format by showing a particular combination of lights below a set of numbers. The lit-up numbers are added together to find the actual time, with the first row showing the hour and the second row displaying the minutes.

For example, the display below represents the time 05:26 since:

(a) Write down the time (in 24-hour format) represents by the display:

Answer:

14:49 20:49 22:49 16;49 12:49

(b) Mark the grid below to show the time "a quarter to ten in the evening".

Answer:

21:45 20:45 22:45 24:45 None of above

(c) Calculate how long it is between the times displayed on watch A and watch B below:

8 hours , 45 minutes 6 hours , 50 minutes 9 hours , 45 minutes 9 hours 15 minutes 7 hours , 45 minutes

19. In four years time, Sam will be twice as old as he was four year ago.
Calculate Sam's current age.

12 years old 16 years old 10 years old 14 years old None of above

20. A packet containing seeds says it produces white, pink and blue flowers in such a proportion that, on average, for every one white flower grown there will be two pink and three blue flowers.

(a) I plant some seeds and get three white flowers. Write down how many blue flowers I should expect to grow.

9 3 2 6 12

(b) I plant a total of 30 seeds in another patch of the garden.
Calculate how many white flowers I would expect to get in this patch.

5 7 6 4 3

(c) In another area of the garden, 24 blue flowers are grown. Calculate how many pink flowers I should expect to find here.

16 24 20 18 12

23. The diagram below is made from three squares.

Calculate the fraction of the larger square that is shaded, giving your answer in its lowest form.

\[\frac{1}{4}\] \[\frac{1}{2}\] \[\frac{3}{4}\] \[\frac{1}{3}\] None of the above

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